PLANETARY GEAR ASSEMBLY AND APPLICATION THEREOF

Abstract: In transmitting power from an engine (10) or engines a planetary gear assembly (36) is coupled to first and second discrete sources of rotary power by first and second output coupling means (22, 12) respectively. The assembly has a primary driving member (42), a secondary driving member (40) and a driven follower member (52). The primary driving member (42) is coupled by the first output coupling means (22) to the first rotary power course and the secondary driving member (40) by the second output coupling means (12) to the second rotary power source. The driven follower member (52) is other than the plane­ tary carrier cage (42, 50) of the planetary gear assembly. The rotary power sources can either be separate motors whose relative output speeds can be controlled or a single engine with a suitable engine source coupling means (12). In the former case both coupling means may be non-slip, with the output speed determined by both the absolute and relative speed at which the two motors operate, where­ as in the latter case, at least one of the coupling means must be slippable to allow for acceleration and deceleration to occur without significantly modifying the engine speed. Two or more planetary gear assemblies (38, 46) may be coupled in tandem to get greater gearing down. By allowing both inputs to vary, a planetary gear assembly provides a continuously variable wide range of gearing down or over drive without mechanical switching of gears.

Description: METHOD AND APPARATUS FOR POWER TRANSMISSION FROM AN ENGINE SPECIFICATION The present invention relates to an apparatus for transmitting power from an engine which is especially adapted for use in motor vehicles but is applicable a etebJer engines are to be applied to a variable load or to a load which is to be subjected to acceleration. In many applications, such as in the operation of automobiles, a high torque must be available for starting and accelerating the vehicle from a standstill or in coping with heavy loads, while at higher velocities, a correspondingly lower toraue is acceptable. Traditional automatic transmissions employ a fixed number of discrete gear ratios between the engine output and the transmission output in order to cover the range of gear ratios corresponding to a minimum velocity (or maximum gearing down) up to a maximum operating velocity. Moreover, changing from one gear ratio to another requires mechanical switching of gears. Generally, conventional automatic transmissions depend on significant slippage in a torque converter to cope with zero load velocity. Such slippage is wasteful of energy and results in significant inefficiency, By being limited for practical purposes to gear ratios of about 4 to 1 or 5 to 1 in low gear, relatively large engines are required to deal with acceleration requirements from standstill. Such engine capacity is greater than that required for normal operating speeds and results in a correspondingly higher fuel consumption than would be used by an engine with smaller capacity. One transmission designed automatically to adjust itself to the changes in torque requirements from the load is that disclosed in United States Patent number 1,203,265, granted to C.R. Radcliffe on 31 October, 1916, which employs a torque converter followed by a planetary gear set. The turbine output of the torque converter drives the ring gear of the planetary gear set and the engine crankshaft drives both the propeller of the torque converter and ±he sun gear of the planetary gear set. The driven output follower member is the planetary gear cage. In the latter device, the reaction of an increased load causes the turbine wheel to slow down with the result that by virtue of the planetary action of the gears, an increase in torque is applied to the driven member. This change in torque occurs continuously and automatically, depending only on the relative velocities of the turbine wheel and drive shaft. However, the turbine wheel in the Radcliffe device reverses its direction for a significant portion of its operation, resulting in attendant heat build-up and hence energy waste. Moreover, a relatively large change in turbine wheel velocity to drive shaft velocity produces a significantly smaller relative change in output follower member velocity to turbine wheel velocity. Summary of the Inven ion According to the invention there is provided for use with a first discrete source of rotary power having a first output coupling means and a second discrete source of rotary power having a second output coupling means, a planetary gear assembly having a ring gear, a sun gear, and a planetary carrier cage. The assembly comprises a primary driving member and a secondary driving member with the primary driving member for coupling by the first output coupling means to the first discrete source of rotary power. The secondary driving member is for coupling by the second output coupling means to the second discrete source of rotary power. Also included is a driven follower member which is a member of the planetary gear assembly other than-the planetary carrier cage. By limiting rotation of the driven follower member in one direction only, unwanted reversal of the mode of operation of the planetary gear assembly may be avoided. Advantageously, at least one of the first and second discrete sources of rotary power is obtained from an engine source coupling means for coupling to an engine source of rotary power. By employing an engine source planetary gear assembly for the engine source coupling means having an input member for direct coupling to an engine source of rotary power, a locking member releasably locked in a fixed position and an output member directly coupled to a rotary member which defines one of the first and second discrete sources of rotary power, one can easily arrange to decouple the associated source of rotary power from the associated driving member or members during start-up and, within reasonable limits, obtain any desired gain in rotary speed. A fluid coupling means may be utilized as one of the first and second coupling means. The fluid coupling means includes a fluid coupling having an impeller wheel input member for coupling to the associated discrete source of rotary power, and a turbine wheel for coupling to that driving member of the planetary gear assembly whose speed of rotation is lowest when the speed of rotation of the driven follower member is zero, and the other of the first and second coupling means is non-fluid coupled means for nonslip coupling to the associated discrete source of rotary power thereto. In another aspect of the invention there is provided for use with a discrete source of rotary power having a first output coupling means and a second discrete source of rotary power having a second output coupling means, the combination of a pair of tandem-connected planetary gear assemblies with each assembly having a ring gear, a sun gear and a planetary carrier cage. Each assembly comprises a primary driving member and a secondary driving member with the primary driving member of the first assembly for coupling by the first coupling means to the first discrete source of rotary power, and the secondary driving members of both assemblies for coupling by means of the second coupling means to the second discrete source of rotary power. Each assembly further includes a driven follower member with that of the first assembly coupled to the primary driving member of the second assembly. When the driven follower member of the second assembly is a planetary carrier cage, then the primary and secondary driving members of the first assembly, in combination, are other than a combination of the ring gear and sun gear. When the driven follower member of the second assembly is the planetary carrier cage and the ring gear and the sun gear of the first assembly, in combination, are a combination of the secondary driving and driven follower members of the first assembly, then the primary and secondary inputs to the first assembly, in combination, are other than a combination of the planetary carrier cage and sun gear, and other than a pair of tandem-connected assemblies in which the planetary carrier cage of the first assembly is coupled to that of the second assembly and the ring gear of the first assembly is coupled to the sun gear of the second assembly. The driven follower member of the second assembly is constrained to rotate in only one direction. At least one of the first and second discrete sources of rotary power can be obtained from an engine source coupling means for coupling to an engine source of rotary power. Preferably one may utilize for one of the first and second coupling means a fluid coupled means including a fluid coupling having an impeller wheel input member for coupling to the associated discrete source of rotary power, and a turbine wheel for coupling to that driving member of the first planetary gear assembly whose speed of rotation is lowest when the speed of rotation of the driven follower member of the second planetary gear assembly is zero. For the other of the first and second coupling means a non-fluid coupled means for non-slip coupling of the associated discrete source of rotary power thereto may be used. By coupling to the sources of power in this way, increased torque requirements due to increased loads cause a reduced angular velocity of the fluid coupled driving member relative to the non-fluid coupled one, and by virtue of the planetary action of the gears, causes a resultant reduced velocity and increased torque of the follower member (or output member) of the second assembly. Increased torque requirements due to increased acceleration demands are met by an increased velocity of the non-fluid coupled driving members of the first assembly relative to the other driving member causing increased torque on the output member without an immediate increase in the output member angular velocity. Use of a fluid coupling having a constant torque (torque on the impeller shaft equal to torque on the turbine shaft) rather than one operating as a torque converter enables the achievement of over 95% efficiency and a turbine wheel speed of rotation equal to about 97% of the impeller wheel speed of rotation. The latter result allows simplification of design in avoiding the need to step up by constant factor the impeller wheel speed by speed-increasing gears so that the turbine wheel speed is in the correct operating range. Torque converters, however, by utilizing variable vane stators and a one-way clutch can achieve about 95% efficiency and operate as a constant torque fluid coupling when the turbine wheel speed approaches that of the impeller wheel. The one-way clutch may be a conventional free wheeler of the grip roller type. The first and second discrete sources of rotary power may, as an additional aspect of the invention, comprise first and second motors having respective first and second drive shafts. The absolute speeds of the motors and the speed of one of the motors relative to the other in this aspect are controlled by drive shaft velocity control means coupled to the motors. Translation gears are affixed to the drive shafts for translating rotary power motion therefrom to rotary motion of respective coaxial shafts coupled to respective primary and secondary driving members of the tandem-connected planetary gear assemblies. With such an arrangement no reactive components such as fluid couplings need to be incorporated to cause variation in the speed of rotation of one driving member of the first planetary gear assembly relative to the other in response to either load changes or a speed change of an engine source of rotary power when both first and second discrete sources of rotary power are obtained from the latter. By employing electric motors for the first and second motors one may, through controlling the electric power applied to the motors by drive shaft velocity control means, independently vary the respective speeds of rotation of the two driving members of the first planetary gear assembly. It is even possible to use motors which can be reversed and hence operate for any arrangement of tandem-connected assemblies either in a forward or a reverse mode. The first and second coupling means in such a case is extremely simple, consisting of only speed adjusting and translation gears. As a further aspect of the invention there is provided the combination of an engine and a planetary gear transmission comprising an engine having a rotary output shaft, an engine neutralizing planetary gear assembly having an input member for direct coupling to the rotary output shaft, a locking member releasably lockable in a fixed position, and an output member, a fluid coupled assembly having an impeller wheel directly coupled to the output member of the engine neutralizing planetary gear assembly and a turbine wheel, and a pair of tandem-connected planetary gear assemblies. Each assembly of the pair of tandem-connected planetary gear assemblies has a primary driving member, a secondary driving member and a driven follower member. The secondary driving members are directly coupled together and the driven follower member of the first assembly is directly coupled to the primary driving member of the second assembly. When the driven follower member of the second assembly is the planetary carrier cage, then the primary and secondary driving members of the first assembly, in combination, are other than a combination of the ring gear and sun gear. When the driven follower member of the second assembly is the planetary carrier cage and the ring gear and sun gear of the first assembly, in combination, are a combination of the secondary driving and driven follower members of the first assembly, then the primary and secondary inputs to the first assembly, in combination, are other than a combination of the planetary carrier cage and sun gear, and other than a pair of tandemconnected assemblies in which the planetary carrier cage of the first assembly is coupled to that of the second assembly and the ring gear of the first assembly is coupled to the sun gear of the second assembly. The driving member of the primary and secondary driving members of the first assembly having the lowest speed of rotation when the speed of rotation of the driven follower member of the second assembly is zero is coupled to the turbine wheel, and the other of the primary and secondary driving members of the first assembly is non-slippably coupled to the output member of the engine neutralizing planetary gear assembly. Incorporating a one-way clutch between the turbine wheel and impeller wheel of the fluid coupling to prevent the turbine wheel from rotating faster than the impeller wheel ensures that the engine acts as a brake on the load when the load is selfaccelerating. Such acceleration may occur, for example, when the engine and transmission are employed in an automobile and the latter is travelling downhill. Incorporating a one-way clutch to constrain the driven follower member of the second planetary gear assembly to rotation in only one direction, namely the direction of rotation of the driving members of the first planetary gear assembly, ensures that the driven follower member will not go into accidental reverse such as may occur, for example, on start-up. Of course, for particular configurations of tandemconnected planetary gear assemblies, it is possible to employ a reverse mode of operation wherein the driven follower of the second planetary gear set rotates in a direction opposite to that of the driv#ing members of the first assembly, in which case the oneway clutch would constrain the driven follower member to rotation in only a direction opposite to that of the driving members of the first assembly. Preferably, the primary driving, secondary driving and driven follower members of the tandemconnected planetary gear assemblies are the planetary carrier cage, ring gear and sun gear,respectively. By including a pair of speed adjusting gears in the coupling of one of the primary and secondary driving members of the first planetary gear assembly to the output member of the engine neutralizing planetary gear assembly, in order to set the speed of rotation of that driving member of the first planetary gear assembly coupled to the turbine wheel to be a preselected amount greater than that of the other driving member of the first planetary gear assembly when there is a maximum coupling between the impeller wheel and turbine wheel of the fluid coupling, a preselected amount of overdrive may be obtained. The foregoing speed adjustment can be accomplished either by incorporating speed enhancing gears in the coupling means of the first and second coupling means containing the fluid coupling or speed reducing gears in the other of the first and second coupling means. The automatic transmission may have the primary driving, secondary driving and driven follower members coupled to the planetary carrier cage, ring and sun gears, respectively, of the first and second planetary gear sets. Such an arrangement produces an output which is extremely sensitive to changes in the relative input velocities and which can produce a zero output angular velocity with only a small change in either the velocity of the primary driving member with respect to the velocity of the secondary driving member of the first gear set or vice versa. The foregoing automatic transmission provides continuous adjustment of the torcue to suit load acceleration requirements and because bf the large geardown available makes it possible to use smaller engines that are currently impractical for use with conventional automatic transmissions. Summary of the Drawings Figure 1 is a detailed schematic illustration of an automatic transmission according to the invention. Figure la is a detailed schematic illustration of an automatic transmission according to Figure 1 but with a single planetary gear assembly substituted for the tandem-connected planetary gear assemblies of Figure 1. Figure lb is a detailed schematic illustration of an automatic transmission similar to Figure lb except having an alternative configuration for connecting the single planetary gear assembly. Figure 2 is an elevation view in section of an automatic transmission according to the illustration of Figure 1. Figure 3 is an elevation view partly in section of a dual motor arrangement utilizing internal combustion engines. Figure 4 is a block diagram representation of a dual motor arrangement utilizing electric motors. Figures 5 to 19 illustrate in schematic form fifteen different possible arrangements of the planetary gear sets of the automatic transmission. Figures 20a, 20b and 21 illustrate in schematic form three different possible arrangements of a single gear assembly. Figure 21a depicts how the sun gear, pivot arm, planetary gear and ring gear co-operate. Figures 22 to 36 illustrate other alternative configurations. Detailed Description with Reference to the Drawings In the drawings like reference numbers in the different figures indicate like components. The apparatus illustrated schematically in Figure 1 consists of an engine source planetary gear assembly 12 having a planetary carrier cage 16 coupled directly to an engine 10. A sun gear 16 of the planetary gear assembly 12 is releasably lockable in a fixed position by a neutral brake band 20 and a ring gear 14 is coupled to an impeller wheel 24 of a fluid coupling 22. The impeller wheel 24 drives a turbine wheel 26 of the fluid coupling 22, rotation of which is constrained, by application of a one-way clutch or freewheel 28, to angular velocities less than that of the impeller wheel 24, thereby preventing the turbine wheel 26 from outrunning the impeller wheel 24. This constraint is achieved by connecting an inner element 30 of the one-way clutch 28 to the impeller wheel 24 and connecting an outer element 34 of the clutch 28 to the turbine wheel 26. A roller 32 of the one-way clutch 28 allows free wheeling of the outer element 34 relative to the inner element 30 while establishing a mechanical connection between the impeller wheel 24 and turbine wheel 26 when the speed of rotation of the latter exceeds that of the former. The turbine wheel 26 thus constrained is coupled to the planetary carrier cage 42 of a first planetary gear assembly 38 while the ring gear 14 of the engine source assembly 12 is coupled to a ring gear 40 of the first assembly 38 and a ring gear 48 of a second assembly 46 of a tandemconnected pair of planetary gear assemblies 36. A sun gear driven follower member 44 of the first planetary gear assembly 38 is directly coupled to the planetary carrier cage 50 of the second planetary gear assembly 46. Sun gear driven follower member 52 of the second planetary gear assembly 46 is coupled by means of a second one-way clutch or freewheel 54 to the transmission casing (not shown). The inner element 60 of the oneway clutch 54 is fixed to the transmission casing and rollers 58 permit the outer element 56 to rotate in only one direction, that direction being the direction of rotation of the sun gear 44 and carrier cage 42 of the first assembly 38 Both one-way clutches or freewheels 28 and 54 are conventional freewheels with rollers and locking mechanisms as are well-known in the industry. Figures la and lb depict an arrangement identical to that of Figure 1 except that the tandem-connected planetary gear assemblies 36 of Figure 1 are replaced by a single planetary gear assembly 38 in Figures la and lib The configuration of the planetary gear assembly 38 appearing in both Figures la and lb would not be operative if the output member were the planetary carrier cage 42 and the two input members were the ring gear 40 and the sun gear 44 inasmuch as in order to drive the output member angular velocity to zero a reversal in the direction of rotation of one of the input members would be required. Even without the constraint on the direction of rotation imposed by the second one-way clutch 54 and the first one-way clutch 34, such a reversal in the direction of rotation of the turbine wheel 26 of the fluid coupling 22 would result in unacceptably large reductions in efficiency through heat generation. An automatic transmission according to the schematic illustration shown in Figure 1 is seen in Figure 2 partly in section. An input member of shaft 11 is operably connected to and driven by an engine output member (not shown). Securely fastened to the input shaft 11 is one disc 16b of a pair of discs 16a and 16b of a planetary carrier cage 16. Journalled to the two discs 16a and 16b of the planetary carrier cage 16 are a plurality of planetary pinion axle shafts 19. Planetary pinion gears 13 are securely fastened to the planetary pinion axle shafts 19. Meshing with the teeth of the pinion gears 13 are the teeth of a sun gear 18 which is releasably lockable in a fixed position by a neutral brake band 20 affixed to the transmission casing 55 such as is commonly used in automatic transmissions. Sun gear 18 when unlocked rotates about the input shaft 11 on bearings 21. Also meshing with the teeth of the planetary gears 13 are the teeth of a ring gear 14, the latter being rotatable about the input shaft 11 and affixed to the impeller housing 23 of a constant torque fluid coupling 22. securely attached to the impeller housing 23 are a plurality of impeller blades 24 together comprising an impeller wheel and which rotate with the impeller housing 23 in response to the rotation of the ring gear 14. Opposed to the impeller blades 24 are a plurality of turbine blades 26 affixed to a turbine disc 25 and hollow shaft 25a, together comprising a turbine wheel and which is freely rotatable about the input shaft 11. The hollow shaft 25a securely connects to one disc 42a of a pair of discs 42a and 42b of the planetary carrier cage 42 of a first planetary gear set 38. A ring gear carrier member 29 is coupled to the impeller housing 23 by means of a securely fastened hollow shaft 27. A one-way clutch or freewheel 28 prevents the turbine wheel from rotating faster than the hollow shaft 27 affixed to the impeller housing 28, thereby preventing the transmission from going into overdrive due to free running of the load (not shown). The ring gear carrier member 29 has affixed ring gears 40 and 48 of the first and second planetary gear assemblies 38 and 46, respectively. Journalled into either end of the planetary carrier cage end plates 42a and 42b are a plurality of planetary pinion axle shafts 43 and a plurality of planetary pinion gears 45 are securely fastened to respective planetary pinion axle shafts 43. The teeth of the planetary pinion gears 45 mesh with those of a sun gear 44, the latter being coupled by a hollow shaft 47 to one disc 50a of a pair of discs 50a and 50b of the planetary carrier cage 50 of the second planetary gear set 46. The teeth of planetary pinion gears 45 also mesh with the teeth of the ring gear 40. Journalled to the two discs 50a and 50b forming the planetary carrier cage 50 are a plurality of planetary pinion axle shafts 51 to each of which is securely fastened a planetary pinion gear 49. The teeth of the latter gears 49 mesh with the teeth of the ring gear 48 of the second planetary gear set 46 as well as those of a sun gear driven follower member 52 of the second planetary gear set 46. The sun gear 53 is coupled by means of a hollow shaft 53 to the output shaft 57 of the transmission. A one-way clutch 54 mounted between the transmission casing 55 and the output shaft 57 constrains rotation of the latter to one direction only. The output shaft 57 is coupled to additional gear arrangements for 'park" and "reverse" as well as to speedometer gearing and, subsequently, the output load (not all of the latter being shown)#. Still referring to Figure 3, in operation the engine output member (not shown) drives the input member 11 causing the latter to rotate. Rotation of the input member or shaft 11 causes the planetary carrier cage 16 to rotate at the same rate and direction as the input shaft 11. Initially the neutral brake band 20 is disengaged leaving the sun gear 18 to rotate freely in order to minimize start-up load. Once the engine (not shown) is started, the neutral brake band 20 is applied, locking the sun gear 18 into a fixed position. The planetary pinion gears 13 then drive the ring gear 14, impeller housing 23 and impeller blades 24 at an angular velocity equal to (l+Ns/NR) times the speed of rotation of the input shaft 11, where NR and Ns are the number of teeth in the ring gear 14 and sun gear 18, respectively. Rotation of the impeller blades 24 attached to the impeller housing 23 causes oil contained in the fluid coupling 22 to be flung outwardly by the impeller blades 24 and forced between the blades 26 of the turbine where it is deflected and flung back into the impeller blades 24. The circulating oil drives the turbine blades 26 round at an increasing speed until it is rotating at substantially the same speed as the impeller housing 23. The torque transmitted by the fluid coupling 22 is substantially that developed by the engine except for minor losses due to "slip" which becomes significant at low speeds. Rotation of the turbine blades 26 causes the turbine disc 25 and planetary carrier cage 42 of the first planetary carry gear assembly 38 to rotate. The ring gear carrier member 29 is driven by the hollow shaft 27 connected to the impeller housing 23 causing both ring gears 40 and 48 to rotate at the angular velocity of the impeller blades 24. The sun gear 44 which is the driven follower member of the first planetary gear assembly 38 drives the planetary carrier cage 50 of the second planetary gear set 46 at an angular velocity nsl given by n51 (NRl/Nsl)nR + (l-NRl/NSl) nl . . . (1) where NR1 and Nsl are the number of teeth on the ring gear 40 and sun gear 44, respectively of the first planetary gear set 38 and nR and nA are the angular velocities of the latter mentioned ring gear 40 and planetary carrier cage 42, respectively. As a result of the ring gear 40 and planetary carrier cage 42 driving the second planetary gear assembly 46, the sun gear 52 of the latter rotates at an angular velocity nS2 given by EMI16.1 where NR2 and N52 are the number of teeth on the ring gear 48 and sun gear 52, respectively, of the second planetary gear assembly 46. It can be seen that coefficients of nR and nA in the formula for nS2 will be significantly greater than those for nSl for the values for NS1 NR2, and N52 generally employed. For example, if NR1 = NRl = 42 and NS2 = 18, then nSl = -7/3 nR + 10/3 nA, and ... (3) NS2 = -91/9 nR + 100/9 nA ... (4) Relatively small changes in nR relative to nA for values of nR slightly greater than nA will result in large changes in n52 where NR2 and N52 are the number of teeth on the ring gear 48 and sun gear 52, respectively, of the second planetary gear assembly 46. This effect occurs because the coefficients of nR and nA in the formula for nS2 are significantly greater than those for nSl for the values of NSl, nR2l N51 and NS2 generally employed. Rotation of the sun gear 52 of the second planetary gear assembly 46 drives the hollow shaft 83 coupled to the output shaft 57. The one-way clutch 54 prevents the output shaft 57 from undesirably reversing its direction of rotation. During initial acceleration, the turbine blades 26, for the ratio of the number of teeth of the gears of the planetary gear assembly indicated above, will quickly reach 0.91 of the velocity of the input shaft 11, at which point the velocity of the output shaft 57 will still be zero. As the velocity of the turbine blades 26 increases beyond 0.91 of the velocity of the input shaft 11, the output shaft 57 will begin rotating. For each incremental change in engine speed caused by depressing the engine accelerator (not shown), the turbine blade velocity nA will increase relative to the impeller housing velocity nR The latter increase will result in an increase in n52, as can be seen from equation (4) above, until maximum coupling between the turbine blades 26 and the impeller blades 24 is obtained. In cases where there is a free running load such as when a vehicle is travelling downhill, the one-way clutch 54 will prevent the turbine blades 2,6 from outrunning the impeller wheel 24 and thereby cause the engine to act as a brake on the load (not shown). Once a final operating velocity of the output shaft 57 is achieved, any sudden increase in load will be reflected back to the second and first planetary gear assemblies 46 and 38, respectively, causing the turbine blade velocity nA to be reduced both absolutely and relative to the impeller blade or ring gear angular velocity nR, thus accommodating a reduced velocity nS2 of the sun gear 52 of the second planetary gear assembly 46. Thus, increase in load causes a gearing down effect and hence an increase in output torque of the transmission. The transmission also continuously and automatically adjusts in response to a demand for increased acceleration prompted by an increase in velocity of the input shaft 11. In the latter case both the velocity nR of the impeller blades 24 and the velocity nA of the turbine blades 26 will tend to increase but the output velocity nS2 will initially remain-the same. An increase in torque arises by virtue of the greater gearing down of velocity present at the input of the first planetary gear assembly 38 (the gearing down ratio of the transmission equals engine output speed divided by transmission output speed no2). The resulting increased output torque applied to the output shaft 57 imparts an angular acceleration to the latter (torque = moment of inertia x angular acceleration) and hence an acceleration to the load which is either linear or angular depending on the nature of the load. The adjustment of the transmission to variations in output load or to variations in input engine speed occurs continuously and automatically. A dual motor driven embodiment of the invention utilizing a pair of internal combustion engines is illustrated in the diagram of Figure 3. Here the two motors 70 and 72 are internal combustion engines powered by fuel which is delivered to manifolds 66 and 68 corresponding to the two engines 70 and 72, respectively. The overall fuel demand is set by a carburettor 60 having a throttle valve 61 and an airfuel diversion valve 64. The latter valve 64 is adjusted by a calibration screw 62 which sets the relative amount of fuel delivered to each of the two manifolds 66 and 68. The output shaft 74 from the motor 70 is coupled to one plate of a clutch 78. The other plate of the latter clutch 78 is secured to a clutch shaft 77 rigidly fastened to a gear 80. The teeth of the gear 80 mesh with those of gear 84 which drives a hollow shaft 88. The output shaft 76 from the motor 72 drives a gear 82 whose teeth mesh with those of a second gear 86 coupled to an input shaft 90 which is coaxially contained within the hollow shaft 88. The coaxial shaft 88 drives one disc 42a of a pair of discs 42a and 42b of a planetary carrier cage 42 of a first planetary gear assembly 38. The solid shaft 90 drives a ring gear carrier 29 to which are affixed ring gears 40 and 48 corresponding to the first and second planetary gear assemblies 38 and 46, respectively. Journalled to the two discs 42a and 42b forming the planetary carrier cage 42 near their circumferential ends are a plurality of spaced planetary pinion axle shafts 43 to each of which is rigidly secured a planetary pinion gear 45. A planetary pinion gear 45 of the first gear assembly 38 meshes both with the ring gear 40 and with the sun gear 44 of the first gear assembly. The latter sun gear 44 is coupled to the first disc 50a of a pair of discs 50a and Sob of a planetary carrier cage 50 of the second gear assembly 46. Journalled to the two discs 50a and 50b forming the latter planetary carrier cage 50 near their outer peripheries are a plurality of spaced planetary pinion axle shafts 51 to each of which is secured a pinion gear 49. The teeth of the latter pinion gears 49 mesh with the teeth of ring gear 48 and with those of sun gear 52 of the-second gear set 46. The sun gear 52 is coupled by means of a hollow shaft 53 and an attached output arm 59 to the output shaft 57. The hollow shaft 53 also is coupled to a oneway clutch 54 mounted in the transmission casing 55. In operation the clutch 78 is released disconnecting drive shaft 74 from clutch shaft 77 and allowing the motor 70 to start without a load. Once the motor 70 has started, the clutch 78 connects the motor drive shaft 74 to the clutch shaft 77. Applying the vehicle brake (not shown) causes rotation through the planetary gear sets 38 and 46 of shaft 90, and, hence, rotation of drive shaft 76 coupled by gears 82 and 86 to the shaft 90. Ignition of the motor 72 will then result in its start-up. With both motors 70 and 72 in operation and coupled to the input shafts 88 and 90, respectively, the operation of the first and second planetary gear assemblies 38 and 46 is identical to that of the previous transmission embodiments discussed. In the transmission of Figure 3, however, control of the relative speeds of the two input shafts 88 and 90 is obtained by controlling the relative amount of fuel entering manifolds 66 and 68 by adjusting the fuel diversion valve 64. Thus, a fixed setting of the air fuel diversion valve 64 will result in a fixed effective gear ratio being applied to output shaft 57. An alternative embodiment to that of Figure 3 is seen in Figure 4. The embodiment of Figure 4 utilizes electric power and features a pair of electric motors 102 and 104 driven by a power apportioning device 100, the power apportioning device 100 receiving line voltage which it distributes to motors 102 and 104.' The electric motor 102 drives a gear 110 whose teeth mesh with those of a gear 112, the latter driving a hollow shaft 114. The electric motor 104 drives a gear 106 whose teeth mesh with those of a gear 108 rigidly affixed to shaft 116. The hollow shaft 114 couples to the primary input and the solid shaft 116 couples to the secondary input of the first planetary gear assembly 38. The secondary input of the first planetary gear assembly 38 is directly coupled to the secondary input of the second planetary gear assembly 46. The driven output follower from the first planetary gear assembly is directly coupled to the primary input of the second planetary gear assembly 46. The output from the second planetary gear assembly 46 couples to the input of a one-way clutch 122. The other input of the one-way clutch 122 couples to the transmission casing (not shown). The output of the one-way clutch 122 is coupled to a load (also not shown). The operation of the embodiment of Figure 4 is similar to that of Figure 3 except that the electric motors 102 and 104 are driven by the power supplied by the power apportioning device 100 which sets the absolute speeds of each of the motors 102 and 104. Moreover, in view of the absence of any ignition requirement of the electrid: motors, there is no clutch at the output of either of the electric motors 102 and 104 as appears in the output of the motor 70 of Figure 3. The operation of the embodiment of Figure 4 is otherwise identical to that as described for Figure 3. Figures 5 to 19 illustrate fifteen different configurations of connecting a pair of planetary gear sets in tandem. In each of the Figures like reference numbers indicate like parts so that, for example, the first planetary gear assembly 38 of Figure 5 is labelled with the same reference number as the first planetary gear assemblies of Figures 6 to 19. In Figure 5 the three possible inputs R, C and S of the first planetary gear set 38 correspond to inputs which drive the ring gear 40, the planetary carrier cage 42 and the sun gear 44, respectively. The ring gear 40 of the first planetary gear assembly is coupled to the sun gear 52 of the second planetary gear assembly 46 and the planetary carrier cage 42 of the first gear assembly 38 is coupled to the carrier cage 50 of the second gear set 46. The output is taken from the ring gear 48 of the second gear assembly 46. The interconnections of the planetary gear assemblies for Figures 6 to 19 in the light of the discussion of the interconnections of the gear sets illustrated in Figure 5 is self-evident. It is also obvious that there are three possible combinations of the three inputs R, C and S, one of which corresponds to the inputs being applied directly to the second assembly, bypassing the first. Table 5 below illustrates the output speed from the configuration of Figure 5 for the ratio of the number of teeth of the ring gear NR, planetary gears N A and sun gear N of S NR:NA:NS = 42:18:12 and for each of these inputs where for example a combination of C and R, with C as the primary input and R as the secondary input, is denoted by C/R. Output speeds are given as a function of primary and secondary speeds, with all speeds being on a relative basis. Output speeds for the same ratios of gear teeth as in Table 5 for the same combination of inputs corresponding to Figures 6 to 19 are given in Tables 6 to 19, respectively. Tables 6 to 19, similar to Table 5, for the configurations of Figures 6 to 19 are also shown below. In TAles5 tol9 inclusive, in addition to tabulations of output speeds for a given selection of the three possible inputs R, C and S as primary input and secondary input there is also recorded output speeds for values of the primary and secondary inputs listed being interchanged. For example, in Table 5, when the planetary carrier cage, C, of the first assembly 38 is the secondary input and the sun gear, S, is the primary input, values with the secondary input fixed at 10 and the primary ranging from -45 to 20 are given in the second column headed S/C. With the primary fixed at 10 and the secondary ranging from -45 to 20 values of the output are listed in the first column headed (S/C) . Figures 20a, 20b and 21 illustrate three different configurations for connecting a single planetary gear set. Table 20 gives output values for Figures 20a and 20b while Table 21 gives output values for Figure 21. TABLE 5 - Figure 5 Input Output Primary Sec. (S/c) S/C S/R (S/R) 20 ' 10 18.2 11.8 14.3 15.7 15 10 14.1 10.9 12.1 12.9 14 10 13.3 10.7 11.7 12.3 13 10 12.4 10.6 11.3 11.7 12 10 11.6 10.4 10.9 11.1 11 10 10.8 10.2 10.4 10.6 10 10 10 10 10 10 9 . 10 9.2 9.8 9.6 9.4 8 10 8.4 9.6 9.1 8.9 7 10 7.6 9.4 8.7 8.3 6 10 6.7 9.3 8.3 7.7 5 10 5.9 9.1 7.9 7.1 O 10 1.8 8.2 5.7 4.3 -3 10 -.6 7.6 4.4 2.6 -8 10 -4.7 6.7 2.3 -.3 -15 10 -10.4 5.4 -.7 -4.3 -45 10 -34.9 -.1 -13.6 -21.4 TABLE 6 - Figure 6 Input Output Primary Sec. (S/C) S/C S/R (S/R) 90 10 100.3 -.3 26.8 73.2 20 10 21.3 8.7 12.1 17.9 15 10 15.6 9.4 11.8 14 14 10 14.5 9.5 10.8 13.2 13 10 13.4 9.6 10.6 12.4 12 10 12.3 9.7 10.4 11.6 11 10 11.1 9.9 10.2 10.8 10 10 10 10 10 10 9 10 8.9 10.1 9.8 9.2 8 10 7.7 10.3 9.6 8.4 7 10 6.6 10.4 9.4 7.6 6 10 5.5 10.5 9.2 6.8 5 10 4.4 10.6 8.9 6.1 O 10 -1.3 11.3 7.9 2.1 -3 10 -4.7 11.7 7.3 -.3 -38 10 -44.2 16.2 -.1 -27.9 TABLE 7 - Figure 7 Input Output Primary Sec. (S/C)r S/C S/R (StR)r 25 10 46.2 -11.4 -.5 35.5 20 10 34.3 -4.3 3 27 15 10 22.1 2.9 6.5 18.5 14 10 19.7 4.3 7.2 16.8 13 10 17.3 5.7 7.9 15.1 12 10 14.9 7.1 8.6 12.3 11 10 12.4 8.6 9.3 11.1 10 10 10 10 10 10 9 10 7.6 11.4 10.7 8.9 8 10 5.1 12.9 11.4 7.7 7 10 2.7 14.3 12.1 6.6 6 10 13 15.7 12.8 5.5 5 10 -2.1 17.1 13.5 4.4 0 10 -14.3 24.3 17 -7 TABLE 8 - Figure 8 Input Output Primary Sec. (S/C)r S/C S/R (S/R)r 90 10 139 -39 -.3 100.3 27 10 37.4 -.4 7.8 29.2 20 10 26.1 3.9 8.7 21.3 15 10 18.1 6.9 9.4 15.6 14 10 16.4 7.6 9.5 14.8 13 10 14.8 8.2 9.6 13.4 12 10 13.1 8.8 9.7 12.3 11 10 11.6 9.4 9.9 11.1 10 10 10 10 10 10 9 10 8.4 10.6 10.1 8.9 8 10 6.8 11.2 10.3 7.7 7 10 5.2 11.8 10.4 6.6 6 10 3.4 12.4 10.5 5.5 5 10 1.9 13.1 10.6 4.4 0 10 -6.1 16.1 11.3 -1.3 TABLE 9 Input Output Primary Sec. (S/CS S/C S/R (S/Rt 45 10 55.5 -.5 13.2 41.9 20 10 23 7 10.9 19.1 15 10 16.5 8.5 10.5 14.6 14 10 15.2 8.8 10.4 13.6 13 10 13.9 9.1 10.3 12.7 12 10 12.6 9.4 10.2 11.8 11 10 11.3 9.7 10.1 10,9 10 10 10 10 10 10 9 10 8.7 10.3 9.9 9.1 8 10 7.4 10.6 9.8 8.2 7 10 6.1 10.9 9.7 7.3 6 10 4.8 11.2 9.6 6.4 5 10 3.5 11.5 9.5 5.5 0 10 -3 13 9.1 .9 <RTI ID=26.5> -1 10 -4.3 13.3 9.0 -.01 -102 10 -135.6 43.6 -.1 -91.9 TABLE 10 Input Output Primary Sec. (R/C)r R/C (R/S)rR/S 20 10 36.3 -6.3 17.9 12.1 15 10 23.2 1.8 13.9 11.1 14 10 20.5 3.5 13.2 10.8 13 10 12.9 5,1 12. 10.6 12 10 15.3 6.7 11.6 10.4 11 10 12.6 8.4 10.8 10.2 10 10 10 10 10 10 9 10 7.4 11.6 9.2 9.8 8 10 4.7 13.3 8.4 9.6 7 10 2.1 14.5 7.6 9.4 6 10 -.5 16.5 6.8 9.2 5 10 -3.1 18.2 6.1 9 0 10 -16.3 26.3 2.1 7.9 -3 10 -24.3 36.1 -.3 7.3 -40 10 -121.7 91.7 -29.5 -.5 TABLE 11 Input Output Primary Sec. R/C (R/C)r (R/S)rR/S 45 10 -106.7 161.7 55.5 -.5 20 10 -23.3 53.3 23 7 15 10 -6.7 31.7 16.5 8.5 14 10 -3.3 27.3 15.2 8.8 13 10 0 23.2 13.9 9.1 12 10 3.3 18.7 12.6 9.4 11 10 6.7 14.3 11.3 9.7 10 10 10 10 10 10 9 9 10 13.3 5.7 8.7 10.3 8 8 10 16.7 1.3 7.4 10.6 7 10 20 -3 6.1 10.9 6 10 23.3 -7.3 4.8 11.2 5 10 26.7 -11.6 3.5 11.5 O 10 43.3 -33.3 -3 13 TABLE 12 Input Output Primary Sec. R/C (R/C)r(R/S)r RIS 20 10 -67.8 97.8 36.3 -6.3 15 10 -28.9 53.9 23.2 1.8 14 -10 -21.2 45.1 20.5 3.5 13 10 -13.3 36.3 17.9 5.1 12 10 -5.6 27.6 15.3 6.7 11 10 2.2 18.8 12.6 8.4 10 10 10 10 10 10 9 10 17.8 1.2 7.4 11.6 8 10 25.6 -7.6 4.7 13.3 7 10 33.3 -16.3 2.1 14.9 6 10 41.1 -25.1 -.5 16.5 5 10 48.9 -33.9 -3.1 18.2 0 10 87.8 -77.8 -16.3 26.3 TABLE 13 Input Output Primary Sec. RJC (R/C)r (R/S)r R/S 20 10 64.4 -34.4 -3.3 33.3 15 10 37.2 -12.2 3.3 21.7 14 10 31.8 -7.8 4.7 19.3 13 10 26.3 -3.3 6 17 12 10 20.9 1.1 7.3 14.7 11 10 15.4 5.6 8.7 12.3 10 10 10 10 10 10 9 10 4.6 14.4 11.3 7.7 8 10 -.9 18.9 12.7 5.3 7 10 -6.3 23.3 14 3 6 10 -11.8 27.8 15.3 .7 5 10 -17.2 32.2 16.7 -1.7 O 10 -44.4 54.4 23.3 -13.3 TABLE 14 Input Output Primary Sec. (C/S)r C/S C/R <RTI ID=28.2> (C/R)r 27 10 37.4 -.4 91 -54 20 10 26.1 3.9 57.6 -27.6. 15 10 18.1 6.9 33.8 -8.8 14 10 16.4 7.6 29 -.5 13 10 14.8 8.2 24.3 -1.3 12 10 13.2 8.7 19.5 2.5 11 10 11.6 9.4 13.3 6.2 10 10 10 10 10 10 9 10 8.4 10.6 5.2 13.8 8 10 6.8 11.2 .5 17.5 7 10 5.2 11.8 -4.3 21.3 6 10 3.6 12.4 -9 25 5 10 1.9 13.1 -13.8 28.8 0 10 -6.1 16.1 -37.6 47.6 TABLE 15 Input Output Primary Sec. (C/S )r C/S C/R (C/R)1 20 10 15.7 14.3 33.3 -3.3 15 10 12.9 12.1 21.7 3.3 14 10 12.3 11.7 19.3 4.7 13 10 11.7 1l.3 17 6 12 10 11.1 10.9 14.7 7.3 11 10 10.6 10.4 12.3 8.7 10 10 10 10 10 10 9 10 9.4 9.6 7.7 11.3 8 10 8.9 9.1 5.3 12.7 7 10 8.3 8.7 3 14 6 10 7.7 8.3 .7 15.3 5 10 7.1 7.9 -1.7 16.7 0 10 4.3 5.7 -13.3 23.3 -15 10 -4.3 -.7 -48.3 43.3 TABLE 16 Input Output Primary Sec. (C/S)r C/S C/R (C/RF 20 10 -.4 30.4 -4.3 34.3 15 10 4.8 20.2 2.3 22.1 14 10 5.8 ¯ 18.2 4.3 19.7 13 10 6.9 16.1 5.7 17.3 12 10 7.9 14.1 7.1 14.9 11 10 9 12 8.6 12.4 10 10 10 10 10 10 9 10 11 7.9 11.4 7.6 8 10 12.1 5.9 12.9 5.1 7 10 13.1 3.9 14.3 2.7 6 10 14.2 1.8 15.7 .3 5 10 15.2 -.2 17.1 -2.1 O 10 20.4 -10.4 24.3 -14.3 TABLE 17 Input Output Primary Sec. (R/C)r R/C (R/S)r R/S 25 10 35.5 -.5 17.7 17.4 20 10 27 3 15.1 14.9 15 10 18.5 6.5 12.6 12.5 14 10 16.8 7.2 12 12 13 10 15.1 7.9 11.5 11.5 -12 10 13.4 8.6 11 11 11 10 11.7 9.3 10.5 10.5 10 10 10 10 10 10 9 10 8.3 10.7 9.5 9.5 8 10 6.6 11.4 8.9 9 7 10 4.9 12.1 8.5 8.5 6 10 3.2 12.8 8 8 5 10 1.5 13.5 7.5 7.6 O 10 -7 17 4.9 5.1 -11 10 -25.7 24.7 -.7 -.3 TABLE 18 Input Output Primary Sec. C/S (C/S)r C/R (C/R)r ', 20 10 57.6 -27.6 -67.8 97.8 15 10 33.8 -8.8 -28.9 53.9 14 10 29 -5 -21.1 45.1 13 10 24.3 -1.3 -13.3 36.3 12 10 19.5 2.5 -5.6 27.6 11 10 14.8 6.2 2 18.8 10 10 10 10 10 10 9 10 5.2 13.8 17.8 1.2 8 10 .5 17.5 25.6 -7.6 7 10 -4.3 21.2 33.3 -16.3 6 10 -9 25 41.1 -25.1 5 10 -13.8 28.8 48.9 -33.8 O 10 -37.6 47.6 87.8 -77.8 TABLE 19 - Figure 19 Input Output Primary Sec. C/S (C/S)r C/R (C/R)± 20 10 -23.3 53.3 121.1 -91.1 15 10 -6.7 31.2 65.6 -40.6 14 10 -3.3 27.3 54.4 -30.4 13 10 0 23 43.3 -20.3 12 10 3.3 18.7 32.2 -10.2 11 10 6.7 14.3 21.1 -.1 10 10 10 10 10 10 9 10 13.3 5.7 -1.1 20.1 8 10 16.7 1.3 -12.2 30.2 7 10 20 -3 -23.3 40.3 6 10 23.3 -7.3 -34.4 50.4 5 10 26.7 -11.7 -45.6 60.6 0 10 43.3 -33.3 -101.1 111.1 TABLE 20 Single Planetary Input Output Primary Sec. CIS S/C C/R R/C 34 10 44.3 -.3 90 -46 20 10 24.3 5.7 43.3 -13.3 15 10 17.1 7.9 26.7 -1.7 14 10 15.7 8.3 23.3 .7 13" 10 14.3 8.7 20 3 12 10 12.9 9.1 16.7 5.3 11 ¯ 10 11.4 9.6 13.3 7.7 10 10 10 10 10 10 9 10 8.6 10.4 6.7 12.3 8 10 7.1 10.9 3.3 14.7 7 10 5.7 11.3 0 17 6 10 4.3 11.7 -3.3 19.3 5 10 2.9 12.1 -6.7 21.7 4 10 1.4 12.6 -10 2.4 3 10 0 13 -13.3 26.3 2 10 -1.4 13.4 -16.7 28.7 1 10 -2.9 13.9 -20 31 0 10 -4.3 14.3 -23.3 33.3 TABLE 21 Input Output Primary Sec. R/S S/R 20 10 17 13 15 10 13.5 11.5 14 10 12.8 11.2 13 10 12.1 10.9 12 10 11.4 10.6 11 10 10.7 10.3 10 10 10 10 9 10 9.3 9.7 8 10 8.6 9.4 7 10 7.9 9.1 6 10 7.2 8.8 5 10 6.5 8.5 4 10 5.8 8.2 3 10 5.1 7.9 2 10 4.4 7.6 1 10 3.7 7.3 0 10 3 7 -1 10 2.3 6.7 -2 10 1.6 6.4 -3 10 .9 6.1 -4 10 .2 5.8 -5 10 -.5 5.5 -24 10 -13.8 -.2 It will be observed that Table 19 corresponds to the configuration of Figures 1 and 2 for the input corresponding to C/R. In the latter case in which the planetary carrier cage and the ring gear are the primary and secondary inputs, respectively, it is observed that there will be zero input when the secondary input has an angular velocity of 10 RPM and that of the primary input is between 9 and 10 RPM (although the units of RPM are used, any units may be selected as the values indicated are relative ones). In fact the value corresponding to a zero output of the primary input angular velocity is 9.1 RPM. Below 9.1 RPM the output changes direction going into rotation in a direction reverse to that of the driving angular velocities of the primary and secondary inputs. It will also be observed that at equal primary and secondary velocities the output velocity of the planetary gear arrangement is equal to that of each of the input velocities. It will also be observed' that in the configuration of Figure 19 for C/R, actual operation of the automatic transmission takes place over only a very narrow part of the Table indicated, insofar as the relative velocity of primary and secondary inputs are concerned. The actual velocity range of the primary input relative to the secondary will probably be no more than .91 to 1.1 or 9.1 RPM to 11 RPM as seen in Table 19. All of the configurations in Figures 5 to 19 will function adequately provided the ratio of primary and secondary velocity is allowed to vary over a sufficiently large range. Obviously a requirement for adequate functioning is that a large enough variation of primary to secondary velocity will drive the output to zero without the need to reverse either of the primary or secondary velocities. However, it should be noted that even if a reversal of one of the inputs is required, a configuration of the planetary gear sets necessitating such a reversal could be made operative with the configurations illustrated in Figure 4, as one of the electric motors could easily be selected which could reverse its direction of rotation to accommodate such a requirement. It will be observed that some of the configurations do not have a marked gearing down effect as does the configuration in Figure 19 previously discussed. In such cases additional gearing down may be obtained by compounding additional planetary gear assemblies after the second planetary gear assembly. However, the commercial practicality of such a solution in certain cases may be questionable. Based on the foregoing criteria for operability it will be observed that several of the embodiments illustrated in Figures 5 to 21 are inoperable. For example the configuration of Figure 5 reaches the two inputs where the reversed or otherwise indicated requirements for a reversal of one of the inputs in order to drive the output to zero. Consequently the configuration of Figure 5 is inoperable for each of the inputs tabulated in Table 5. The configuration of Figure 6 is also inoperable when the two inputs are a combination of the ring gear and sun gear of the first planetary gear assembly. Similar remarks apply to the configurations of Figures 9, 10 and 17. The configuration of Figure 15 is inoperable when the inputs are a combination of the sun gear and the planetary carrier cage. For the single planetary gear assembly the only configuration which is inoperable is that corresponding to inputs comprised of a combination of the ring gear and sun gear as shown in Figure 21 and the results for which are tabulated in Table 21. It will be obvious that other ways of coupling the motor or motors to the planetary gear assembly may be selected. For example, one may employ a torque converter and speed adjusting gears in place of a constant torque fluid coupling. The speed adjusting gears would be used either to enhance the speed of the fluid coupled line or reduce the speed of the other line in order to obtain the proper range of angular speeds for driving the primary and secondary driving members. A new set of speed adjusting gears may also be employed in that coupling means which is fluid coupled to obtain a preselected amount of overdrive. One may elect for certain configurations such as that of Figure 19 to operate in a reverse mode in which the output shaft from the tandem-connected planetary gear assemblies rotates in a direction reverse to that of the driving members of the first planetary gear assembly. Ih this case a one-way clutch would have to be mounted reverse to that of its mounting for forward rotation and the driving speed of the first and second coupling means adjusted accordingly by speed adjusting gears if necessary. The configurations of interest can be classfied as follows: (1) with carrier of one set connected to carrier of other set as in Figures 31 and 32; (2) the two inputs connected to the two carriers as in Figures 28a and 28b; (3) with the inputs connected to the carrier and sun and the ring gear of each set connected to each other and the output taken from the ring gear as in Figures 22 and 23; (4) with the inputs connected to the carrier and ring and the sun gear of each set connected to each other and the output taken from sun as in Figures 25 and 33; (5) with the inputs connected to the carrier and sun and the other sun and a ring gear interconnected and output taken from same. (Figures 26 and 30); (6) with the inputs connected to the ring and carrier and the other ring gear and a sun interconnected and output taken from same. (Figures 29 and 36). The invention therefore further includes: (1) the combination of 1, 2, 3, 4, 5 or 6 with the invention previously described; (2) a method of reducing the wear of the open and side seals in a rotary engine. The inventor knows of no configurations such as the above, with two inputs. However, similar configurations have been found where one of the inputs is permanently fixed. Such configurations, however, have constant gear ratios. The new features which need to be added are the use of rotary engines in the two engine system and the new configurations in which a pair of planetary gear assemblies are connected with one driving input to one gear of one assembly and one driving input to one gear of the other assembly. The remaining gears are connected in pairs and an output is taken off one of those pairs. The advantages derived from using rotary gears are as follows. Since two engines are used, each can be half the size of the single engine they replace and still give equal power. However, since the transmission is capable of greater gear reduction solving the problem of lack of torque at low engine r.p.m., each of the two engines can again be reduced to half so the total volume reduction of the working chambers is to 1/4 size. The biggest problem with rotary gears is the problem of the wear of the open seal. The friction on the seals is a function of r.p.m. and of the radices of rotation of the rotors. But the radius of rotation of the rotors varies with the cube of the volume approximately so if each of two engines are 1/4 size of the encrine thev replace. the radius of rotation EMI36.1 approximately and the friction is automatically reduced by about 1/3 as compared to an ordinary rotary, thereby increasing the life expectancy of the open seal. From Tables 22 to 36 and Figures 22 to 36, it is apparent that there are additional configurations of this type which are not disclosed in the previous discussions. 1. For the train value e, e', refer to Figure 21a which shows sun gear 1, carrier arm 2, pinion gear 3 and ring gear 4. With carrier arm 2 fixed from moving and sun gear turning the planet, pinion gear 3 turns the ring gear 4 as shown. For the first gear turning in the opposite direction of the last gear, the sign of the train value e is (-) negative by convention. The train value is defined as follows and is a constant of any gear train: product of driving tooth numbers e = product of driven tooth numbers For the above case, with number of teeth designated as Ts, Tp, Tr or T1, T3, T4: EMI36.2 For the Tables 22 to 36, the value used for e = e' = -18 , 42 = -3/7. Next we designate the speed of the gear 1 relative to the arm 2 as nl2 and likewise the speed of gear 4 relative to the arm 2 as n12. Then n12 = nl - n2 and n42 = n4 - n2 so EMI37.1 The following is an explanation of Tables 22 to 36 and corresponding Figures 22 to 36. Example - Figure 22 In Tables 22 to 36, the following hold: I) Speed of components of first planetary gear assembly denoted as: i) ring gear - nr ii) carrier arm - n a iii) sun gear - n S 2) Speed components of second planetary gear assembly denoted as: : i) ring gear - n1r ii) carrier arm - n'a iii) sun gear - n's 3) The train value of first assembly denoted as e and that for second assembly denoted as e' Now, since n42/n12 is the velocity of ring gear relative to the velocity of the sun gear, and both are relative to the velocity of the arm, we set the velocity of the arm equal to zero and get EMI37.2 Then EMI38.1 Therefore, we can find e from the tooth numbers and we can find the speed of any gear if we know the speed of the other two. 2. Referring to Figure 22 once more, there are two inputs, one to each assembly. We designate the velocity ratio of the inputs as follows: EMI38.2 for Figure 22; also e = e' = -3/7, and further (Equation 1) (Equation 2) EMI38.3 since the ring of first assembly is connected to the ring of second assembly nr = n'r- Similarly, na = S Therefore, we have EMI38.4 n' =n (3) r r n = n' (4) and a s n x = n1 or x = n' /n (5) s a a s Substituting 3, 4, 5 into 2, we get EMI38.5 and solving 1 and 2 for n : a en - en x = n - n x a s r s en = n + en x - n x a r s s EMI39.1 en - en = n - n s a r a en - n = en s r a n a en - n = (e - l)n s r a EMI39.2 and equating equation 6 and 7: : EMI39.3 nr (e-1) + ens x (e-l) - nsx (e-l) = eêns - enr ensx (e-l)- nsx (e-1) - eêns = -enr - nr(e-1) 5 eênsx - ensx - ensx + nsx - eêns = -enr - enr + nr S ns (eêx - ex - ex + x - e2) = nr (1 - e - e) and EMI39.4 and using e = -3/7 EMI39.5 3. Referring to Table 22 once again, the driving configuration is indicated by n'a/ns or ns/n'a where n'a/ns indicates that n1 a is the primary driving gear and ns is the secondary driving gear; and where nS/n'a indicates ns is the primary and n'a the secondary. This is similar for all the tables. The ouputs are indicated by the columns headed by n = a n' and n = n' , etc. 4. A configuration works if the output is not between the two inputs. TABLE 22 (See FIGURE 22) EMI41.1 <tb> <SEP> n'a/ns <SEP> <SEP> ns=n'a <SEP> <tb> Primary <SEP> Secondary <SEP> na-n's <SEP> nr=n'r <SEP> <SEP> na=n's <SEP> nr=n'r <SEP> <tb> <SEP> 20 <SEP> 10 <SEP> 17.7 <SEP> 21.0 <SEP> 12.3 <SEP> 9.0 <tb> <SEP> 19 <SEP> 10 <SEP> 17.0 <SEP> 19.9 <SEP> 12.1 <SEP> 9.1 <tb> <SEP> 18 <SEP> 10 <SEP> 16.2 <SEP> 18.8 <SEP> 11.8 <SEP> 9.2 <tb> <SEP> 17 <SEP> 10 <SEP> 15.4 <SEP> 17 <SEP> 7 <SEP> <SEP> 11.6 <SEP> 9.3 <tb> <SEP> 16 <SEP> 10 <SEP> 14.6 <SEP> 16.6 <SEP> 11.4 <SEP> 9.4 <tb> <SEP> 15 <SEP> 10 <SEP> 13.8 <SEP> 15.5 <SEP> 11.2 <SEP> 9.5 <tb> <SEP> 14 <SEP> 10 <SEP> 13.1 <SEP> 14.4 <SEP> 10.9 <SEP> 9.6 <tb> <SEP> 13 <SEP> 10 <SEP> <SEP> 12.3 <SEP> - <SEP> <SEP> 13.3 <SEP> 10.7 <SEP> 9.7 <tb> <SEP> 12 <SEP> 10 <SEP> 11.5 <SEP> 12.2 <SEP> 10.5 <SEP> 9.8 <tb> <SEP> 11 <SEP> 10- <SEP> 10.8 <SEP> 11.1 <SEP> 10.2 <SEP> 9.9 <tb> <SEP> 10 <SEP> 10 <SEP> 10.0 <SEP> 10.0 <SEP> 10.0 <SEP> 10.0 <SEP> <tb> <SEP> 9 <SEP> 10 <SEP> 9.2 <SEP> 8.9 <SEP> 9.8 <SEP> 10.1 <tb> <SEP> 8 <SEP> 10 <SEP> - <SEP> 8.5 <SEP> <SEP> 7.8 <SEP> 9.5 <SEP> 10.2 <tb> <SEP> 7 <SEP> 10 <SEP> 7.7 <SEP> 6.7 <SEP> 9.3 <SEP> 10.3 <tb> <SEP> 6 <SEP> 6 <SEP> 10 <SEP> 6.9 <SEP> 5.6 <SEP> 9.1 <SEP> 10.4 <tb> <SEP> 5 <SEP> 10 <SEP> 6.2 <SEP> 4.5 <SEP> 8.8 <SEP> 10.5 <tb> <SEP> 4 <SEP> 10 <SEP> 5.4 <SEP> 3.4 <SEP> 8.6 <SEP> 10.6 <tb> <SEP> 3 <SEP> 10 <SEP> 4.6 <SEP> 2.3 <SEP> 8.4 <SEP> 10.7 <tb> <SEP> 2 <SEP> 10 <SEP> 3.8 <SEP> 1.2 <SEP> 8.2 <SEP> 10.8 <tb> <SEP> 1 <SEP> 10 <SEP> 3.1 <SEP> .1 <SEP> 7.9 <SEP> 10.9 <tb> <SEP> 0 <SEP> 10 <SEP> 2.3 <SEP> -1.0 <SEP> 6.7 <SEP> 11.0 <tb> TABLE 23 (See FIGURE 23) EMI42.1 <tb> <SEP> n's/na <SEP> na/n's <SEP> - <tb> Primary <SEP> Secondary <SEP> nr=n'r <SEP> ns=n'a <SEP> nr=n'r <SEP> <SEP> ns=n'a <SEP> <tb> <SEP> 20 <SEP> 10 <SEP> 9.0 <SEP> 12.3 <SEP> 21.0 <SEP> 17.7 <tb> <SEP> 19 <SEP> 10 <SEP> -9.l <SEP> <SEP> 12.1 <SEP> 19.9 <SEP> 16.9 <tb> <SEP> 18 <SEP> 10 <SEP> 9.2 <SEP> 11.8 <SEP> 18.8 <SEP> 16.2 <tb> <SEP> 17 <SEP> 10 <SEP> 9.3 <SEP> 11.6 <SEP> 17.7 <SEP> 15.4 <tb> <SEP> 16 <SEP> 10 <SEP> 9.4 <SEP> 11.4 <SEP> 16.6 <SEP> 14.6 <tb> <SEP> 15 <SEP> 10 <SEP> 9.5 <SEP> 11.2 <SEP> 15.5 <SEP> 13.8 <tb> <SEP> 14 <SEP> 10 <SEP> 9.6 <SEP> 10.9 <SEP> 14.4 <SEP> 13.1 <tb> <SEP> 13 <SEP> 10 <SEP> 9.7 <SEP> 10.7 <SEP> 13.3 <SEP> 12.3 <tb> <SEP> 12 <SEP> 10 <SEP> 9.8 <SEP> 10.5 <SEP> 12.2 <SEP> 11.5 <tb> <SEP> 11 <SEP> 10 <SEP> 9.9 <SEP> 10.2 <SEP> 11.1 <SEP> 10.8 <tb> <SEP> 10' <SEP> 10 <SEP> 10.0 <SEP> 10.0 <SEP> 10. <SEP> O <SEP> 10. <SEP> O <tb> <SEP> 9 <SEP> 10 <SEP> 10.1 <SEP> 9.8 <SEP> 8.9 <SEP> 9.2 <tb> <SEP> 8 <SEP> 10 <SEP> - <SEP> 10.2 <SEP> 9.5 <SEP> 7.8 <SEP> 8.5 <tb> <SEP> 7 <SEP> 10 <SEP> 10.3 <SEP> 9.3 <SEP> 6.7 <SEP> 7.7 <tb> <SEP> 6 <SEP> 10 <SEP> 10.4 <SEP> 9.1 <SEP> 5.6 <SEP> 6.9 <tb> <SEP> 5 <SEP> 10 <SEP> 10.5 <SEP> 8.8 <SEP> 4.5 <SEP> 6.2 <tb> <SEP> 4 <SEP> 10 <SEP> 10.6 <SEP> 8.6 <SEP> 3.4 <SEP> 5.4 <tb> <SEP> 3 <SEP> 10 <SEP> 10.7 <SEP> 8.4 <SEP> 2.3 <SEP> 4.6 <tb> <SEP> 2 <SEP> 10 <SEP> 10.8 <SEP> 8.2 <SEP> 1.2 <SEP> 3.8 <tb> <SEP> 1 <SEP> 10 <SEP> 10.9 <SEP> 7.9 <SEP> 0.1 <SEP> 3.1 <tb> <SEP> 0 <SEP> 10 <SEP> 11.0 <SEP> 7.7 <SEP> -1.0 <SEP> 2.3 <tb> TABLE 24 (See FIGURE 24) EMI43.1 <tb> <SEP> n'r/ns <SEP> r <tb> Primary <SEP> Secondary <SEP> nr <SEP> =n'a <SEP> na=n's <SEP> nr=n'a <SEP> <tb> <SEP> 20 <SEP> 10 <SEP> 18.9 <SEP> 16.2 <SEP> 11.1 <SEP> 13.9 <tb> <SEP> 19 <SEP> 10 <SEP> 18.0 <SEP> 15.6 <SEP> 11.0 <SEP> 13.4 <tb> <SEP> 18 <SEP> 10 <SEP> - <SEP> 17.1 <SEP> 15.0 <SEP> 10.9 <SEP> 13.0 <tb> <SEP> 17 <SEP> 10 <SEP> 16.2. <SEP> <SEP> 14.3 <SEP> 10.8 <SEP> 12.7 <tb> <SEP> 16 <SEP> 10 <SEP> 15.3 <SEP> 13.7 <SEP> 10.7 <SEP> 12.3 <tb> <SEP> 15 <SEP> 10 <SEP> 14.4 <SEP> 13.1 <SEP> 10.6 <SEP> 11.9 <tb> <SEP> 14 <SEP> 10 <SEP> 13.5 <SEP> <SEP> 12.5 <SEP> 10.5 <SEP> 11.5 <tb> <SEP> 13 <SEP> 10 <SEP> 12.7 <SEP> 11.9 <SEP> 10.3 <SEP> 11.1 <tb> <SEP> 12 <SEP> 10 <SEP> 11.8 <SEP> 11.2 <SEP> 10.2 <SEP> 10.8 <tb> <SEP> 11 <SEP> 10 <SEP> 10.9 <SEP> 10.6 <SEP> 10.1 <SEP> 10.4 <tb> <SEP> 10 <SEP> ' <SEP> 10 <SEP> 10.0 <SEP> 10.0 <SEP> 10.0 <SEP> 10.0 <tb> <SEP> 9 <SEP> 10 <SEP> 9.1 <SEP> 9.4 <SEP> 9.9 <SEP> 9.6 <tb> <SEP> 8 <SEP> 10 <SEP> 8.2 <SEP> 8.8 <SEP> 9.8 <SEP> 9.2 <tb> <SEP> 7 <SEP> 10 <SEP> 7.3 <SEP> 8.1 <SEP> 9.7 <SEP> 8.9 <tb> <SEP> 6 <SEP> 10 <SEP> 6.5 <SEP> 7.5 <SEP> 9.5 <SEP> 8.5 <tb> <SEP> 5 <SEP> 10 <SEP> 5.6 <SEP> 6.9 <SEP> 9.4 <SEP> 8.1 <tb> <SEP> 4 <SEP> 10 <SEP> 4.7 <SEP> 6.3 <SEP> 9.3 <SEP> 7.7 <tb> <SEP> 3 <SEP> 10 <SEP> 3.8 <SEP> 5.6 <SEP> 9.2 <SEP> 7.3 <tb> <SEP> 2 <SEP> <SEP> 10 <SEP> 2.9 <SEP> 5.0 <SEP> 9.1 <SEP> 7.0 <tb> <SEP> 1 <SEP> 10 <SEP> 2.0 <SEP> 4.4 <SEP> 9.0 <SEP> 6.6 <tb> <SEP> 0 <SEP> 10 <SEP> 1.1 <SEP> 3.8 <SEP> 8.9 <SEP> 6.2 <tb> TABLE 25 (See FIGURE 25) EMI44.1 <tb> <SEP> n'r/na <SEP> <SEP> na/n'r <SEP> <tb> Primary <SEP> Secondary <SEP> nr-n'a <SEP> ns=n's <SEP> nr=n'a <SEP> ns=n's <SEP> <tb> <SEP> ss <SEP> a <SEP> s <tb> <SEP> 20 <SEP> 10 <SEP> 14.1 <SEP> - <SEP> 0.4 <SEP> 15.9 <SEP> 29.6 <tb> <SEP> 19 <SEP> 10 <SEP> 13.7 <SEP> 1.4 <SEP> 15.3 <SEP> 27.6 <tb> <SEP> 18 <SEP> 10 <SEP> 13.3 <SEP> 2.3 <SEP> 14.7 <SEP> 25.7 <tb> <SEP> 17 <SEP> 10 <SEP> 12.9 <SEP> 3.3 <SEP> 14.1 <SEP> 23.7 <tb> <SEP> 16 <SEP> 10 <SEP> 12.5 <SEP> 4.2 <SEP> 13.5 <SEP> 21.8 <tb> <SEP> 15 <SEP> 10 <SEP> 12.1 <SEP> 5.2 <SEP> 12.9 <SEP> 19.8 <tb> <SEP> 14 <SEP> 10 <SEP> 11.6 <SEP> 6.2 <SEP> 12.4 <SEP> 17.8 <tb> <SEP> 13 <SEP> 10 <SEP> 11.2 <SEP> 7.1 <SEP> 11.8 <SEP> 15.9 <tb> <SEP> 12 <SEP> 10 <SEP> 10.8 <SEP> 8.1 <SEP> 11.2 <SEP> 13.9 <tb> <SEP> 11 <SEP> 10 <SEP> 10.4 <SEP> 9.0 <SEP> 10.6 <SEP> 12.0 <SEP> <tb> <SEP> 10 <SEP> 10 <SEP> '10.0' <SEP> <SEP> 10.0 <SEP> 10.0 <SEP> 10.0 <tb> <SEP> 9 <SEP> 10 <SEP> 9.6 <SEP> 11.0 <SEP> 9.4 <SEP> 8.0 <tb> <SEP> 8 <SEP> 10 <SEP> 9.2 <SEP> 11.9 <SEP> 8.8 <SEP> 6.1 <tb> <SEP> 7 <SEP> 10 <SEP> 8.8 <SEP> 12.8 <SEP> 8.2 <SEP> 4.1 <tb> <SEP> 6 <SEP> 10 <SEP> 8.4 <SEP> 13.8 <SEP> 7.6 <SEP> 2.2 <tb> <SEP> 5 <SEP> 10 <SEP> 7.9 <SEP> 14.8 <SEP> 7.1 <SEP> 0.2 <tb> <SEP> 4 <SEP> 10 <SEP> 7.5 <SEP> 15.8 <SEP> 6.5 <SEP> -1.8 <tb> <SEP> 3 <SEP> 10 <SEP> 7.1 <SEP> 16.7 <SEP> 5.9 <SEP> -3.7 <tb> <SEP> 2 <SEP> 10 <SEP> 6.7 <SEP> 17.7 <SEP> 5.3 <SEP> -5.7 <tb> <SEP> 1 <SEP> 10 <SEP> 6.3 <SEP> 18.6 <SEP> 4.7 <SEP> -7.6 <tb> <SEP> 0 <SEP> 10 <SEP> 5.9 <SEP> 19.6 <SEP> 4.1 <SEP> -9.6 <tb> TABLE 26 (See FIGURE 26) EMI45.1 <tb> <SEP> n's/na <SEP> <SEP> na/n's <SEP> <tb> Primary <SEP> Secondary <SEP> nr=n'a <SEP> ns=n'r <SEP> nr=n'a <SEP> ns=n'r <SEP> <tb> <SEP> <tb> <SEP> 20 <SEP> 10 <SEP> 11.1 <SEP> 7.3 <SEP> 18.9 <SEP> 22.7 <tb> <SEP> 19 <SEP> 10 <SEP> 11.0 <SEP> 7.6 <SEP> 17.8 <SEP> 21.4 <tb> <SEP> 18 <SEP> 10 <SEP> 10.9 <SEP> 7.9 <SEP> 17.1 <SEP> 20.1 <tb> <SEP> 17 <SEP> 10 <SEP> 10.8 <SEP> 8.1 <SEP> 16.2 <SEP> 18.9 <tb> <SEP> 16 <SEP> 10 <SEP> 10.7 <SEP> 8.4 <SEP> 15.3 <SEP> 17.6 <tb> <SEP> 15 <SEP> 10 <SEP> 10.6 <SEP> 14.4 <SEP> 16.3 <tb> <SEP> 14 <SEP> 10 <SEP> 10.5 <SEP> 8.9 <SEP> 13.5 <SEP> 15.1 <tb> <SEP> 13 <SEP> 10 <SEP> 10.3 <SEP> 9.2 <SEP> 12.7 <SEP> 13.8 <tb> <SEP> 12 <SEP> 10 <SEP> 10.2 <SEP> 9.5 <SEP> 11.8 <SEP> 12.5 <tb> <SEP> 11 <SEP> 10 <SEP> 10.1 <SEP> 9.7 <SEP> 10.9 <SEP> 11.3 <tb> <SEP> 10 <SEP> 10 <SEP> 10.0 <SEP> 10.0 <SEP> 10.0 <SEP> 10.0 <tb> <SEP> 9 <SEP> - <SEP> 10 <SEP> 9.9 <SEP> 10.3 <SEP> 9.1 <SEP> 8.7 <tb> <SEP> 8 <SEP> 10 <SEP> 9.8 <SEP> 10.5 <SEP> 8.2 <SEP> 7.5 <tb> <SEP> 7 <SEP> 10 <SEP> 9.7 <SEP> 10.8 <SEP> 7.3 <SEP> 6.2 <tb> <SEP> 6 <SEP> 10 <SEP> 9.5 <SEP> 11.1 <SEP> <SEP> 6.5 <SEP> 4.9 <tb> <SEP> 5 <SEP> 10 <SEP> 9.4 <SEP> 11.3 <SEP> 5.6 <SEP> 3.7 <tb> <SEP> 4 <SEP> 10 <SEP> 9.3 <SEP> 11.6 <SEP> 4.7 <SEP> 2.4 <tb> <SEP> 3 <SEP> 10 <SEP> 9.2 <SEP> 11.9 <SEP> 3.8 <SEP> 1.1 <tb> <SEP> 2 <SEP> 10 <SEP> 9.1 <SEP> 12.1 <SEP> 2.9 <SEP> -0.1 <tb> <SEP> 1 <SEP> 10 <SEP> 9.0 <SEP> 12.4 <SEP> 2.0 <SEP> -1.4 <tb> <SEP> 0 <SEP> 10 <SEP> 8.9 <SEP> 12.7 <SEP> 1.1 <SEP> -2.7 <tb> TABLE 27 (See FIGURE 27) EMI46.1 <tb> <SEP> n's/ns <SEP> ns/n's <tb> <SEP> Primary <SEP> Secondary <SEP> nr=n'a <SEP> na=n'r <SEP> nr=n'a <SEP> na=n'r <tb> 20 <SEP> 10 <SEP> 15.9 <SEP> 14.1 <SEP> 14.1 <SEP> 15.9 <tb> 19 <SEP> 10 <SEP> 15.3 <SEP> 13.7 <SEP> 13.7 <SEP> 15.3 <tb> 18 <SEP> 10 <SEP> 14.7 <SEP> 13.3 <SEP> 13.3 <SEP> 14.7 <tb> 17 <SEP> 10 <SEP> 14.1 <SEP> 12.9 <SEP> - <SEP> 12.9 <SEP> 14.1 <tb> 16 <SEP> 10 <SEP> 13.5 <SEP> <SEP> 12.5 <SEP> 12.5 <SEP> 13.5 <tb> 15 <SEP> 10 <SEP> 12.9 <SEP> 12.1 <SEP> 12.1 <SEP> 12.9 <tb> 14 <SEP> 10 <SEP> 12.4 <SEP> 11.6 <SEP> 11.6 <SEP> 12.4 <tb> 13 <SEP> 10 <SEP> <SEP> 11.8 <SEP> 11.2 <SEP> 11.2 <SEP> 11.8 <tb> 12 <SEP> 10 <SEP> 11.2 <SEP> 10.8 <SEP> 10.8 <SEP> 11.2 <tb> 11 <SEP> 10 <SEP> 10.6 <SEP> 10.4 <SEP> 10.4 <SEP> 10.6 <tb> 10 <SEP> ' <SEP> 10 <SEP> 10.0 <SEP> 10.0 <SEP> ' <SEP> 10. <SEP> O <SEP> <SEP> 10.0 <tb> 9 <SEP> 10 <SEP> 9.4 <SEP> 9.6 <SEP> 9.6 <SEP> 9.4 <tb> 8 <SEP> 10 <SEP> 8.8 <SEP> 9.2 <SEP> 9.2 <SEP> 8.8 <tb> 7 <SEP> 10 <SEP> ¯ <SEP> <SEP> 8.2 <SEP> 8.8 <SEP> 8.8 <SEP> 8.2 <tb> 6 <SEP> 10 <SEP> 7.6 <SEP> ' <SEP> 8.4 <SEP> 8.4 <SEP> 7.6 <tb> 5 <SEP> 10 <SEP> 7.1 <SEP> 7.9 <SEP> 7.9 <SEP> 7.1 <tb> 4 <SEP> 10 <SEP> 6.5 <SEP> 7.5 <SEP> 7.5 <SEP> 6.5 <tb> 3 <SEP> 10 <SEP> 5.9 <SEP> 7.1 <SEP> 7.1 <SEP> 5.9 <tb> 2 <SEP> 10 <SEP> 5.3 <SEP> 6.7 <SEP> 6.7 <SEP> 5.3 <tb> 1 <SEP> 10 <SEP> 4.7 <SEP> 6.3 <SEP> 6.3 <SEP> 4.7 <tb> 0 <SEP> 10 <SEP> 4.1 <SEP> 5.9 <SEP> 5.9 <SEP> 4.1 <tb> TABLE 28 (See FIGURE 28) EMI47.1 <tb> <SEP> n'a/na <SEP> na/n' <SEP> a <tb> Primary <SEP> Secondary <SEP> nr=n's <SEP> ns=n'r <SEP> nr=n' <SEP> <SEP> s <SEP> ns=n'r <SEP> <tb> <SEP> 20 <SEP> ' <SEP> 10 <SEP> 2.5 <SEP> 27.5 <SEP> 27.5 <SEP> 25.0 <tb> <SEP> 19 <SEP> 10 <SEP> 3.3 <SEP> 25.8 <SEP> 25.8 <SEP> 3.3 <tb> <SEP> 18 <SEP> 10 <SEP> 4.0 <SEP> 2.4 <SEP> 2.4 <SEP> - <SEP> <SEP> 4.0 <tb> <SEP> 17 <SEP> 10 <SEP> 4.8 <SEP> 22.3 <SEP> 22.3 <SEP> 4.8 <tb> <SEP> 16 <SEP> 10 <SEP> 5.5 <SEP> 20.5 <SEP> 20.5 <SEP> 5.5 <tb> <SEP> 15 <SEP> 10 <SEP> 6.3 <SEP> 18.8 <SEP> 18.8 <SEP> 6.3 <tb> <SEP> 14 <SEP> 10 <SEP> 7.0 <SEP> 17.0 <SEP> 17.0 <SEP> 7.0 <tb> <SEP> 13 <SEP> 10 <SEP> 7.8 <SEP> 15.3 <SEP> 15.3 <SEP> 7.8 <tb> <SEP> 12 <SEP> 10 <SEP> 8.5 <SEP> 13.5 <SEP> 13.5 <SEP> 8.5 <tb> <SEP> 11 <SEP> 10 <SEP> 9.3 <SEP> 11.8 <SEP> 11.8 <SEP> 9.3 <tb> <SEP> 10 <SEP> 10 <SEP> 10.0 <SEP> 10.0 <SEP> 10.0 <SEP> 10.0 <tb> <SEP> 9 <SEP> 10 <SEP> 10.8 <SEP> 8.3 <SEP> 8.3 <SEP> 10.8 <tb> <SEP> 8 <SEP> 10 <SEP> 11.5 <SEP> 6.5 <SEP> 6.5 <SEP> 11.5 <tb> <SEP> 7 <SEP> 10 <SEP> 12.3 <SEP> 4.8 <SEP> 4.8 <SEP> 12.3 <tb> <SEP> 6 <SEP> 10 <SEP> 13.0 <SEP> <SEP> 3.0 <SEP> 3.0 <SEP> 13.0 <tb> <SEP> 5 <SEP> 10 <SEP> 13.8 <SEP> 1.3 <SEP> 1.3 <SEP> 13.8 <tb> <SEP> 4 <SEP> 10 <SEP> 14.5 <SEP> -0.5 <SEP> -0.5 <SEP> 14.5 <tb> <SEP> 3 <SEP> 10 <SEP> 15.3 <SEP> -2.3 <SEP> -2.3 <SEP> 15.3 <tb> <SEP> 2 <SEP> 10 <SEP> 16.0 <SEP> -4.0 <SEP> -4.0 <SEP> 16.0 <tb> <SEP> 1 <SEP> 10 <SEP> 16.8 <SEP> *5.8 <SEP> <SEP> -5.8 <SEP> 16.8 <tb> <SEP> 0 <SEP> 10 <SEP> 17.5 <SEP> -7.5 <SEP> <SEP> -7.5 <SEP> 17.5 <tb> TABLE 29 (See FIGURE 29) EMI48.1 <tb> <SEP> n'r/na <SEP> na/n'r <tb> Primary <SEP> Secondary <SEP> n,=n <SEP> ' <SEP> ns=nl <SEP> n,=n' <tb> <SEP> 19 <SEP> 10 <SEP> 6.7 <SEP> 15.6 <SEP> 21.4 <SEP> 13.4 <tb> <SEP> 18 <SEP> 10 <SEP> 7.9 <SEP> 15.0 <SEP> 20.1 <SEP> 13.a <SEP> <tb> <SEP> 17 <SEP> 10 <SEP> 8.1 <SEP> 14.3 <SEP> 18.9 <SEP> 12.7 <tb> <SEP> 16 <SEP> 10 <SEP> 8.4 <SEP> 13.7 <SEP> 17.6 <SEP> 12.3 <tb> <SEP> 15 <SEP> 10 <SEP> 8.7 <SEP> 13.1 <SEP> 16.3 <SEP> 11.9 <tb> <SEP> 14 <SEP> 10 <SEP> 8.9 <SEP> 12.5 <SEP> 15.1 <SEP> 11.5 <tb> <SEP> 13 <SEP> 10 <SEP> 9.2 <SEP> 11.9 <SEP> 13.8 <SEP> 11.1 <tb> <SEP> 12 <SEP> 10 <SEP> 9.5 <SEP> 11.2 <SEP> 12.5 <SEP> 10.8 <tb> <SEP> 11 <SEP> 10 <SEP> 9.7 <SEP> 10.6 <SEP> 11.3 <SEP> 10.4 <tb> 10 <SEP> 10 <SEP> 10. <SEP> O <SEP> <SEP> 10.0 <SEP> 10. <SEP> O <SEP> <SEP> 10.0 <SEP> <tb> <SEP> 9 <SEP> 10 <SEP> 10.3 <SEP> 9.4 <SEP> 8.7 <SEP> 9.6 <tb> <SEP> 8 <SEP> 10 <SEP> 10.5 <SEP> 8.8 <SEP> 7.5 <SEP> 9.2 <tb> <SEP> 7 <SEP> 10 <SEP> 10.8 <SEP> 8.1 <SEP> 6.2 <SEP> 8.9 <tb> <SEP> 6 <SEP> 10 <SEP> 11.1 <SEP> 7.5 <SEP> 4.9 <SEP> 8.5 <tb> <SEP> 5 <SEP> 10 <SEP> 11.3 <SEP> <SEP> 6.9 <SEP> 3.7 <SEP> 8.1 <tb> <SEP> 4 <SEP> 10 <SEP> 11.6 <SEP> 6.3 <SEP> 2.4 <SEP> 7.7 <tb> <SEP> 3 <SEP> 10 <SEP> 11.9 <SEP> 5.7 <SEP> 1.1 <SEP> 7.3 <tb> <SEP> 2 <SEP> 10 <SEP> 12.1 <SEP> 5.0 <SEP> -1.0 <SEP> 7.0 <tb> <SEP> 1 <SEP> 10 <SEP> 12.4 <SEP> 4.4 <SEP> -1.4 <SEP> 6.6 <tb> <SEP> 0 <SEP> 10 <SEP> 12.7 <SEP> 3.8 <SEP> -2.7 <SEP> 6.2 <tb> TABLE 30 (See FIGURE 30) EMI49.1 <tb> <SEP> n'a/ns <SEP> ns/n'a <SEP> ' <SEP> <tb> Primary <SEP> Secondary <SEP> nr=n'r <SEP> nr=n's <SEP> na=n'r <tb> <SEP> 20 <SEP> ' <SEP> <SEP> 10 <SEP> 22.7 <SEP> 18.9 <SEP> 7.3 <SEP> 11.1 <tb> <SEP> 19 <SEP> 10 <SEP> 21.4 <SEP> 18.0 <SEP> 7.6 <SEP> 11.0 <SEP> <tb> - <SEP> 18 <SEP> 10 <SEP> 20.1 <SEP> <SEP> 17.1 <SEP> 7.9 <SEP> 10.9 <tb> <SEP> 17 <SEP> 10 <SEP> 18.9 <SEP> 16.2 <SEP> 8.1 <SEP> 10.8 <tb> <SEP> 16 <SEP> 10 <SEP> 17.6 <SEP> 15.3 <SEP> 8.4 <SEP> 10.7 <tb> <SEP> 15 <SEP> 10 <SEP> 16.3 <SEP> - <SEP> 14.4 <SEP> 8.7 <SEP> 10.6 <tb> <SEP> 14 <SEP> 10 <SEP> 15.1 <SEP> 13.5 <SEP> 8.9 <SEP> 10.5 <tb> <SEP> 13 <SEP> 10 <SEP> 13.8 <SEP> 12.7 <SEP> 9.2 <SEP> 10.3 <tb> <SEP> 12 <SEP> 10 <SEP> 12.5 <SEP> 11.8 <SEP> 9.5 <SEP> 10.2 <tb> <SEP> 11 <SEP> 10 <SEP> 11.3 <SEP> 10.9 <SEP> 9.7 <SEP> 10.1 <tb> <SEP> 10 <SEP> 10 <SEP> 10.0 <SEP> 10.0 <SEP> 10. <SEP> <SEP> 10.0 <SEP> <tb> <SEP> 9 <SEP> 10 <SEP> 8.7 <SEP> 9.1 <SEP> 10.3 <SEP> 9.9 <tb> <SEP> 8 <SEP> 10 <SEP> 7.5 <SEP> 8.2 <SEP> 10.5 <SEP> 9.8 <tb> <SEP> 7 <SEP> 10 <SEP> 6.2 <SEP> 7.3 <SEP> 10.8 <SEP> 9.7 <tb> <SEP> 6 <SEP> 10 <SEP> 4.9 <SEP> 6.5 <SEP> li.l <SEP> <SEP> 9.5 <tb> <SEP> 5 <SEP> 10 <SEP> 3.7 <SEP> 5.6 <SEP> 11.3 <SEP> 9.4 <tb> <SEP> 4 <SEP> 10 <SEP> 2.4 <SEP> 4.7 <SEP> 11.6 <SEP> 9.3 <tb> <SEP> 3 <SEP> 10 <SEP> 1.1 <SEP> 3.8 <SEP> 11.9 <SEP> 9.2 <tb> <SEP> 2 <SEP> 10 <SEP> -0.1 <SEP> 2.9 <SEP> 12.1 <SEP> 9.1 <tb> <SEP> 1 <SEP> 10 <SEP> -1.4 <SEP> 2.0 <SEP> 12.4 <SEP> 9.0 <tb> <SEP> 0 <SEP> 10 <SEP> -2.7 <SEP> 1.1 <SEP> 12.7 <SEP> 8.9 <tb> TABLE 31 (See FIGURE 31) EMI50.1 <tb> <SEP> n'r/ns <SEP> ns/n'r <tb> Primary <SEP> Secondary <SEP> nr=n's <SEP> na=n'a <SEP> nr=n's <SEP> na= <SEP> n'a <tb> <SEP> 20 <SEP> 10 <SEP> 27.5 <SEP> 22.3 <SEP> 2.5 <SEP> 7.8 <tb> <SEP> 19 <SEP> 10 <SEP> 25.8 <SEP> 21.0 <SEP> 3.3 <SEP> 8.0 <tb> <SEP> 18 <SEP> 10 <SEP> 24.0 <SEP> 19.8 <SEP> 4.0 <SEP> - <SEP> <SEP> 8.2 <tb> <SEP> 17 <SEP> 10 <SEP> 22.3 <SEP> 18.6 <SEP> 4.8 <SEP> 8.4 <tb> <SEP> 16 <SEP> 10 <SEP> 20.5 <SEP> 17.4 <SEP> 5.5 <SEP> 8.7 <tb> <SEP> 15 <SEP> 10 <SEP> 18.8 <SEP> 16.1 <SEP> 6.3 <SEP> 8.9 <tb> <SEP> 14 <SEP> 10 <SEP> 17.0 <SEP> 14.9 <SEP> 7.0 <SEP> 9.1 <tb> <SEP> 13 <SEP> 10 <SEP> 15.3 <SEP> 13.7 <SEP> 7.8 <SEP> 9.3 <tb> <SEP> 12 <SEP> 10 <SEP> 13.5 <SEP> 12.5 <SEP> 8.5 <SEP> 9.6 <tb> <SEP> 11 <SEP> 10 <SEP> - <SEP> 11.8 <SEP> 11.2 <SEP> 9.3 <SEP> 9.8 <tb> <SEP> 10 <SEP> 10 <SEP> 10.0 <SEP> 10.0 <SEP> 10.0 <SEP> 10.0 <tb> <SEP> 9 <SEP> 10 <SEP> 8.3 <SEP> 8.8 <SEP> 10.8 <SEP> 10.2 <tb> <SEP> 8 <SEP> 10 <SEP> 6.5 <SEP> 7.6 <SEP> 11.5 <SEP> 10.5 <tb> <SEP> 7 <SEP> 10 <SEP> 4.8 <SEP> 6.3 <SEP> 12.3 <SEP> 10.7 <tb> <SEP> 6 <SEP> 10 <SEP> 3.0 <SEP> 5.1 <SEP> 13.0 <SEP> 10.9 <tb> <SEP> 5 <SEP> 10 <SEP> 1.3 <SEP> 3.9 <SEP> 13.8 <SEP> 11.1 <tb> <SEP> 4 <SEP> 10 <SEP> -0.5 <SEP> 2.7 <SEP> 14.5 <SEP> 11.4 <tb> <SEP> 3 <SEP> 10 <SEP> -2.3 <SEP> 1.4 <SEP> 15.3 <SEP> 11.6 <tb> <SEP> 2 <SEP> 10 <SEP> -4.0 <SEP> 0.2 <SEP> 16.0 <SEP> 11.8 <tb> <SEP> 1 <SEP> 10 <SEP> -5.8 <SEP> -1.0 <SEP> 16.8 <SEP> 12.0 <tb> <SEP> 0 <SEP> 10 <SEP> -7.5 <SEP> -2.3 <SEP> 17.5 <SEP> 12.3 <tb> TABLE 32 (See FIGURE 32) EMI51.1 <tb> <SEP> n's/nr <SEP> nr/n's <SEP> <tb> Primary <SEP> Secondary <SEP> ns=n'r <SEP> na=n'a <SEP> ns=n'r <SEP> na <SEP> =n'a <SEP> <tb> <SEP> 20 <SEP> 10 <SEP> 2.5 <SEP> 7.8 <SEP> 27.5 <SEP> 22.3 <tb> <SEP> 19 <SEP> 10 <SEP> - <SEP> 3.3 <SEP> 8.0 <SEP> 25.8 <SEP> 21.0 <tb> <SEP> 18 <SEP> 10 <SEP> 4.0 <SEP> <SEP> 8.2 <SEP> 24.0 <SEP> 19.8 <tb> <SEP> 17 <SEP> 10 <SEP> 4.8 <SEP> 8.4 <SEP> 22,3 <SEP> 18.6 <tb> <SEP> 16 <SEP> 10 <SEP> 5.5 <SEP> 8.7 <SEP> 20.5 <SEP> i7.4 <tb> <SEP> 15 <SEP> 10 <SEP> 6.3 <SEP> 8.9 <SEP> 18.8 <SEP> - <SEP> 16.1 <tb> <SEP> 14 <SEP> 10 <SEP> 7.0 <SEP> 9.1 <SEP> 17.0 <SEP> 14.9 <tb> <SEP> 13 <SEP> 10 <SEP> 7.8 <SEP> 9.3 <SEP> 15.3 <SEP> 13.7 <tb> <SEP> 12 <SEP> 10 <SEP> 8.5 <SEP> 9.6 <SEP> 13.5 <SEP> 12.5 <tb> <SEP> 11 <SEP> 10 <SEP> - <SEP> 9.3 <SEP> 9.8 <SEP> 11.8 <SEP> 11.2 <tb> <SEP> 10 <SEP> 10 <SEP> - <SEP> 10.0 <SEP> 10.0 <SEP> - <SEP> 10.0 <SEP> 10.0 <SEP> <tb> <SEP> 9 <SEP> 1j0 <SEP> <SEP> 10.8 <SEP> 10.2 <SEP> 8.3 <SEP> 8.8 <tb> <SEP> 8 <SEP> 10 <SEP> 11.5 <SEP> 10.5 <SEP> 6.5 <SEP> 7.6 <tb> <SEP> 7 <SEP> 10 <SEP> 12.3 <SEP> 10.7 <SEP> 4.8 <SEP> 6.3 <tb> <SEP> 6 <SEP> 10 <SEP> 13.0 <SEP> 10.9 <SEP> 3.0 <SEP> 5.1 <tb> <SEP> 5 <SEP> 10 <SEP> 13.8 <SEP> 11.1 <SEP> 1.3 <SEP> 2.7 <tb> <SEP> 4 <SEP> 10 <SEP> 14.5 <SEP> 11.4 <SEP> -0.5 <SEP> 1.4 <tb> <SEP> 3 <SEP> 10 <SEP> 15.3 <SEP> 11.6 <SEP> -2.3 <SEP> 0.2 <tb> <SEP> 2 <SEP> 10 <SEP> 16.0 <SEP> 11.8 <SEP> -4.0 <SEP> -1.0 <tb> <SEP> 1 <SEP> 10 <SEP> 16.8 <SEP> 12.0 <SEP> -5.8 <SEP> -2.3 <tb> <SEP> 0 <SEP> <SEP> 10 <SEP> 17.5 <SEP> 12.3 <SEP> -7.5 <SEP> <tb> TABLE 33 (See FIGURE 33) EMI52.1 <tb> <SEP> n'a/nr <SEP> nr/n'a <SEP> <tb> Primary <SEP> Secondary <SEP> ns=n's <SEP> na=n'r <SEP> ns=n's <SEP> <SEP> na=n'r <SEP> <tb> <SEP> 20 <SEP> 10 <SEP> 29.6 <SEP> 15.9 <SEP> 0.4 <SEP> 14.1 <tb> <SEP> 19 <SEP> 10 <SEP> 27.6 <SEP> 15.3 <SEP> 1.4 <SEP> 13.7 <tb> <SEP> 18 <SEP> 10 <SEP> 25.7 <SEP> - <SEP> 14.7 <SEP> 2.3 <SEP> 13.3 <tb> <SEP> 17 <SEP> 10 <SEP> 23.7 <SEP> 14.1 <SEP> 3.3 <SEP> 12,9 <tb> <SEP> 16 <SEP> 10 <SEP> 21.8 <SEP> 13.5 <SEP> 4.2 <SEP> 12.5 <tb> <SEP> 15 <SEP> 10 <SEP> 19.8 <SEP> 12.9 <SEP> 5.2 <SEP> 12.1 <tb> <SEP> 14 <SEP> 10 <SEP> 17.8 <SEP> 12.4 <SEP> 6.2 <SEP> 11.6 <tb> <SEP> 13 <SEP> 10 <SEP> 15.9 <SEP> 11.8 <SEP> 7.1 <SEP> 11.2 <tb> <SEP> 12 <SEP> 10 <SEP> 13.9 <SEP> 11.2 <SEP> 8.1 <SEP> 10.8 <tb> <SEP> 11 <SEP> 10 <SEP> - <SEP> 12.0 <SEP> 10.6 <SEP> 9.0 <SEP> 10.4 <tb> <SEP> 10 <SEP> 10 <SEP> 10.0 <SEP> 10.0 <SEP> 10.0 <SEP> 10.0 <tb> <SEP> 9 <SEP> 10 <SEP> 8.0 <SEP> 9.4 <SEP> 11.0 <SEP> 9.6 <tb> <SEP> 8 <SEP> 10 <SEP> 6.1 <SEP> 8.8 <SEP> 11.9 <SEP> 9.2 <tb> <SEP> 7 <SEP> 10 <SEP> 4.1 <SEP> 8.2 <SEP> 12.9 <SEP> 8.8 <tb> <SEP> 6 <SEP> 10 <SEP> 2.2 <SEP> 7.6 <SEP> 13.8 <SEP> 8.4 <tb> <SEP> 5 <SEP> 10 <SEP> 0.2 <SEP> 7.0 <SEP> 14.8 <SEP> 7.9 <tb> <SEP> 4 <SEP> 10 <SEP> -1.8 <SEP> 6.5 <SEP> 15.8 <SEP> 7.5 <tb> <SEP> 3 <SEP> 10 <SEP> -3.7 <SEP> 5.9 <SEP> 16.7 <SEP> 7.1 <tb> <SEP> 2 <SEP> 10 <SEP> -5.7 <SEP> 5.3 <SEP> 17.7 <SEP> 6.7 <tb> <SEP> 1 <SEP> 10 <SEP> -7.6 <SEP> 4.7 <SEP> 18.6 <SEP> 6.3 <tb> <SEP> 0 <SEP> 10 <SEP> -9.6 <SEP> 4.1 <SEP> 19.6 <SEP> 5.9 <tb> TABLE 34 (See FIGURE 34) EMI53.1 <tb> <SEP> n's/nr <SEP> nr/n's <SEP> <tb> <SEP> <tb> Primary <SEP> Secondary <SEP> n's=n'a <SEP> n <SEP> a=n'r <SEP> n <SEP> s=n'a <SEP> <tb> <SEP> 20 <SEP> 10 <SEP> 13.8 <SEP> 11.1 <SEP> 16.2 <SEP> 18.9 <tb> <SEP> 19 <SEP> 10 <SEP> 13.4 <SEP> 11.0 <SEP> 15.6 <SEP> 18.0 <tb> <SEP> 18 <SEP> 10 <SEP> 13.0 <SEP> 10.9 <SEP> 15.0 <SEP> 17.1 <tb> <SEP> 17 <SEP> 10 <SEP> 12.7 <SEP> 10.8 <SEP> 14.3 <SEP> 16.2 <tb> <SEP> 16 <SEP> 10' <SEP> 12.3 <SEP> 10.7 <SEP> 13.7 <SEP> 15.3 <tb> <SEP> 15 <SEP> 10 <SEP> 11.9 <SEP> 10.6 <SEP> 13.1 <SEP> 14.4 <tb> <SEP> 14 <SEP> 10 <SEP> 11.5 <SEP> 10.5 <SEP> 12.5 <SEP> 13.5 <tb> <SEP> 13 <SEP> 10 <SEP> 11.1 <SEP> 10.3 <SEP> 11.9 <SEP> 12.7 <tb> <SEP> 12 <SEP> 10 <SEP> 10.8 <SEP> 10.2 <SEP> 11.2 <SEP> 11.8 <tb> <SEP> 11 <SEP> 10 <SEP> 10.4 <SEP> 10.1 <SEP> 10.6 <SEP> 10.9 <tb> <SEP> 10 <SEP> 10 <SEP> 10. <SEP> O <SEP> <SEP> ' <SEP> 10. <SEP> O <SEP> <SEP> 10. <SEP> O <SEP> <SEP> 10.0 <SEP> <tb> <SEP> 9 <SEP> 10 <SEP> 9.6 <SEP> 9.9 <SEP> 9.4 <SEP> 9.1 <tb> <SEP> 8 <SEP> 10 <SEP> 9.2 <SEP> 9.8 <SEP> 8.8 <SEP> 8.2 <tb> <SEP> 7 <SEP> 10 <SEP> 8.9 <SEP> 9.7 <SEP> 8.1 <SEP> 7.3 <tb> <SEP> 6 <SEP> 10 <SEP> 8.5 <SEP> 9.5 <SEP> 7.5 <SEP> 6.5 <tb> <SEP> 5 <SEP> 10 <SEP> 8.1 <SEP> 9.4 <SEP> 6.9 <SEP> 5.6 <tb> <SEP> 4 <SEP> 10 <SEP> 7.7 <SEP> 9.3 <SEP> 6.3 <SEP> 4.7 <tb> <SEP> 3 <SEP> - <SEP> 10 <SEP> 7.3 <SEP> 9.2 <SEP> 5.7 <SEP> 3.8 <tb> <SEP> 2 <SEP> 10 <SEP> 7.0 <SEP> 9.1 <SEP> 5.0 <SEP> 2.9 <tb> <SEP> 1 <SEP> 10 <SEP> 6.6 <SEP> 9.0 <SEP> 4.4 <SEP> 2.0 <tb> <SEP> 0 <SEP> 10 <SEP> 6.2 <SEP> 8.9 <SEP> 3.8 <SEP> 1.1 <tb> TABLE 35 (See FIGURE 35) EMI54.1 <tb> <SEP> n'r/nr <SEP> nr/n'r <SEP> <tb> Primary <SEP> Secondary <SEP> ns=n'a <SEP> na=n's <SEP> ns=n'a <SEP> na=n'ss <tb> <SEP> 20 <SEP> 10 <SEP> 17.7 <SEP> 12.3 <SEP> 12.3 <SEP> 17.7 <tb> <SEP> 19 <SEP> 10 <SEP> 16.9 <SEP> 12.1 <SEP> 12.1 <SEP> 16.9 <tb> <SEP> 18 <SEP> 10 <SEP> 15.2 <SEP> 11.8 <SEP> 11.8 <SEP> 15.2 <tb> <SEP> 17 <SEP> 10 <SEP> 15.4 <SEP> 11.6 <SEP> 11.6 <SEP> 15.4 <tb> <SEP> 16 <SEP> 10 <SEP> 14.6 <SEP> 11.4 <SEP> 11.4 <SEP> 14.6 <tb> <SEP> 15 <SEP> 10 <SEP> 13.8 <SEP> 11.2 <SEP> 11.2 <SEP> 13.8 <tb> <SEP> 14 <SEP> 10 <SEP> 13.1 <SEP> 10.9 <SEP> 10.9 <SEP> 13.1 <tb> <SEP> 13 <SEP> 10 <SEP> 12.3 <SEP> 10.7 <SEP> 10.7 <SEP> 12.3 <tb> <SEP> 12 <SEP> 10 <SEP> 11.5 <SEP> 10.5 <SEP> 10.5 <SEP> 11.5 <tb> <SEP> 11 <SEP> 10 <SEP> 10.7 <SEP> 10.2 <SEP> 10.2 <SEP> 10.7 <tb> <SEP> 10 <SEP> 10 <SEP> ; <SEP> <SEP> 10.0 <SEP> 10.0 <SEP> 10.0 <SEP> 10.0 <SEP> <tb> <SEP> 9 <SEP> 10 <SEP> 9.2 <SEP> 9.8 <SEP> 9.8 <SEP> 9.2 <tb> <SEP> 8 <SEP> 10 <SEP> 8.5 <SEP> 9.5 <SEP> 9.5 <SEP> 8.5 <tb> <SEP> 7 <SEP> 10 <SEP> 7.7 <SEP> 9.3 <SEP> 9.3 <SEP> 7.7 <tb> <SEP> 6 <SEP> 10 <SEP> 6.9 <SEP> 9.1 <SEP> 9.1 <SEP> 6.9 <tb> <SEP> 5 <SEP> 10 <SEP> 6.2 <SEP> 8.8 <SEP> 8.8 <SEP> 6.2 <tb> <SEP> 4 <SEP> 10 <SEP> 5.4 <SEP> 8.6 <SEP> 8.6 <SEP> 5.4 <tb> <SEP> 3 <SEP> 10 <SEP> - <SEP> <SEP> 4.6 <SEP> 8.4 <SEP> 8.4 <SEP> 4.6 <tb> <SEP> 2 <SEP> 10 <SEP> 3.8 <SEP> 8.2 <SEP> 8.2 <SEP> 3.8 <tb> <SEP> 1 <SEP> 10 <SEP> 3.1 <SEP> 7.9 <SEP> 7.9 <SEP> 3.1 <tb> <SEP> 0 <SEP> 10 <SEP> 2.3 <SEP> 7.7 <SEP> 7.7 <SEP> 2.3 <tb> TABLE 36 (See FIGURE 36) EMI55.1 <tb> <SEP> n'a/nr <SEP> nr/n'a <tb> Primary <SEP> Secondary <SEP> na=n's <SEP> ns=n'r <SEP> na=n's <SEP> ns=n'r <tb> <SEP> <tb> <SEP> 20 <SEP> 10 <SEP> 13.8 <SEP> 22.7 <SEP> 16.2 <SEP> 7.3 <tb> <SEP> 19 <SEP> 10 <SEP> 13.4 <SEP> 21.4 <SEP> 15.6 <SEP> 7.6 <tb> <SEP> 18 <SEP> 10 <SEP> 13.0 <SEP> 20.1 <SEP> 15.0 <SEP> 7.9 <SEP> <tb> <SEP> 17 <SEP> 10 <SEP> 12,7 <SEP> <SEP> 18.9 <SEP> 13.4 <SEP> 8.1 <tb> <SEP> 16 <SEP> 10 <SEP> 12,3 <SEP> 17.6 <SEP> 13.7 <SEP> 8.4 <tb> <SEP> 15 <SEP> 10 <SEP> 11.9 <SEP> 16.3 <SEP> 13.1 <SEP> 8.7 <tb> <SEP> 14 <SEP> 10 <SEP> 11.5 <SEP> 15.1 <SEP> 12.5 <SEP> 1 <SEP> <SEP> 8.9 <tb> <SEP> 13 <SEP> 10 <SEP> 11.1 <SEP> 13.8 <SEP> 11.9 <SEP> 9.2 <tb> <SEP> 12 <SEP> 10 <SEP> 10.8 <SEP> 12.5 <SEP> 11.2 <SEP> 9.5 <tb> <SEP> 11 <SEP> 10¯ <SEP> 10.4 <SEP> 11.3 <SEP> 10.6 <SEP> 9.7 <tb> 10 <SEP> 10 <SEP> - <SEP> 10.0 <SEP> 10.0 <SEP> 10.0 <SEP> - <SEP> 10.0 <tb> <SEP> 9 <SEP> 10 <SEP> 9.6 <SEP> 8.7 <SEP> 9.4 <SEP> 10.3 <tb> <SEP> 8 <SEP> 10 <SEP> 9.2 <SEP> 7.5 <SEP> 8.8 <SEP> 10.5 <tb> <SEP> 7 <SEP> 10 <SEP> 8.9 <SEP> 6.2 <SEP> 8.1 <SEP> 10.8 <tb> <SEP> 6 <SEP> 10 <SEP> 8.5 <SEP> 4.9 <SEP> 7.5 <SEP> 11.1 <tb> <SEP> 5 <SEP> 10 <SEP> 8.1 <SEP> 3.7 <SEP> 6.9 <SEP> 11.3 <tb> <SEP> 4 <SEP> 10 <SEP> 7.7 <SEP> 2.4 <SEP> 6.3 <SEP> 11.6 <tb> <SEP> 3 <SEP> 10 <SEP> 7.3 <SEP> 1.1 <SEP> 5.6 <SEP> 11.9 <tb> <SEP> 2 <SEP> 10 <SEP> 7.0 <SEP> -0.1 <SEP> 5.0 <SEP> 12.1 <tb> <SEP> 1 <SEP> 10 <SEP> 6.6 <SEP> -1.4 <SEP> 4.4 <SEP> 12.4 <tb> <SEP> 0 <SEP> 10 <SEP> 6.2 <SEP> -2.7 <SEP> 3.8 <SEP> 12.7 <tb>

Claims: CLAIMS: 1. For use with a first discrete source of rotary power having a first output coupling means and a second discrete source of rotary power having a second output coupling means, a planetary gear assembly having a ring gear, a sun gear, and a planetary carrier cage, said assembly comprising: (a) a primary driving member and a secondary driving member, the primary driving member being arranged to be coupled by said first output coupling means to the first discrete source of rotary power and the secondary driving member being arranged to be coupled by said second output coupling means to the second discrete source of rotary power; and (b) a driven follower member which is other than the planetary carrier cage. 2. A device as claimed in claim 1, further comprising means for constraining the driven follower member to rotate in only one direction. 3. A device as claimed in claim I or 2, wherein at least one of the first and second discrete sources of rotary power is obtained from an engine source coupling means for coupling to an engine source of rotary power. 4. A device as claimed in claim 3, wherein the engine source coupling means is an engine source planetary gear assembly having; (a) an input member for direct coupling to an engine source of rotary power; (b) a locking member releasably lockable in a fixed position; and an output member directly coupled to a rotary member which defines one of said first and second discrete sources of rotary power. 5. A device as claimed in any preceding claim, wherein one of said first and second coupling means is a fluid-coupled means including a fluid coupling having an impeller wheel input member for coupling to the associated discrete source of rotary power, and a turbine wheel for coupling to that driving member of the planetary gear assembly whose speed of rotation is lowest when the speed of rotation of the driven follower member is zero, and the other of said first and second coupling means is a non-fluid coupled means for non-slip coupling to the associated discrete source of rotary power thereto. 6. A device as claimed in claim 5, wherein said fluid coupling is a constant torque fluid coupling in which the input torque to the impeller wheel equals the output torque from the turbine wheel. 7. A device as claimed in claim 5 or 6, wherein one of said first and second coupling means further comprises a set of speed adjusting gears for setting the speed of rotation of the driving member of the planetary gear assembly which is coupled to the turbine wheel to a preselected amount greater than that of the other of the driving members of the planetary gear assembly when there is a maximum coupling between the impeller and turbine wheels of the fluid coupling so that a preselected amount of overdrive is obtained. 8. For use with a discrete source of rotary power having a first output coupling means and a second discrete source of rotary power having a second output coupling means, the combination of a pair of tandem-connected planetary gear assemblies, each assembly having a ring gear, a sun gear and a planetary carrier cage and each said assembly comprising: (a) a primary driving member and a secondary driving member, the primary driving member of the first assembly being arranged to be coupled by the first coupling means to the first discrete source of rotary power, and the secondary driving members of both assemblies being arranged to be coupled by means of the second coupling means to the second discrete source of rotary power; and (b) a driven follower member, that of the first assembly coupled to the primary driving member of the second assembly, and such that when the driven follower member of the second assembly is a planetary carrier cage, then the primary and secondary driving members of the first assembly, in combination, are other than a combination of the ring gear and sun gear and when the driven follower member of the second assembly is the planetary carrier cage and the ring gear and sun gear of the first assembly, in combination, are a combination of the secondary driving and driven follower members of the first assembly, then the primary and secondary inputs to the first assembly, in combination, are other than a combination of the planetary carrier cage and sun gear, and other than a pair of tandem-connected assemblies in which the planetary carrier cage of the first assembly is coupled to that of the second assembly and the ring gear of the first assembly is coupled to the sun gear of the second assembly. 9. The combination as claimed in claim 8, further comprising means for constraining the driven follower member of the second planetary gear assembly to rotate in only one direction. 10. The combination as claimed in claim 8 or 9, wherein at least one of the first and second discrete sources of rotary power is obtained from an engine source coupling means for coupling to an engine source of rotary power. 11. The combination as claimed in claim 10, wherein the engine source coupling means is an engine source planetary gear assembly having: (a) an input member for direct coupling to an engine source of rotary power; (b) a locking member releasably lockable in a fixed position; and (c) an output member directlv coupled to a rotary member which defines one of said first and second discrete sources of rotary power. 12. The combination as claimed in any of claims 8 to 11, wherein one of said first and second coupling means is a fluid-coupled means including a fluid coupling having an impeller wheel input member for coupling to the associated discrete source of rotary power, and a turbine wheel for coupling to that driving member of the first planetary gear assembly whose speed of rotation is lowest when the speed of rotation of the driven follower member of the second planetary gear assembly is zero, and the other of said first and second coupling means is a non-fluid coupling means for non-slip coupling of the associated discrete source of rotary power thereto. 13. The combination as claimed in claim 12, wherein said fluid coupling is a constant torque fluid coupling in which the input torque to the impeller wheel equals the output torque from the turbine wheel. 14. The combination as claimed in claim 13, wherein one of said first and second coupling means further comprises a set of speed adjusting gears for setting the speed of rotation of the driving member of the first planetary gear assembly which is coupled to the turbine wheel to be a preselected amount greater than that of the other driving members of the first planetary gear assembly when there is a maximum coupling between the impeller and turbine wheels of the fluid coupling so that a preselected amount of overdrive is obtained. 15. For use with a first discrete source of rotary power having a first output coupling means and a second discrete source of rotary power having a second output coupling means, the combination of a pair of tandemconnected planetary gear assemblies, each said assembly comprising: (a) a primary driving member and a secondary driving member, the primary driving member of the first assembly being arranged to be coupled by the first coupling means to the first discrete source of rotary power, and the secondary driving members of both assemblies being arranged to be coupled by means of the second coupling means to the second discrete source of rotary power; and (b) a driven follower member, that of the first assembly coupled to the primary driving member of the second assembly. 16. The combination as claimed in claim IS, wherein the first and second discrete sources of rotary power comprise: (a) first and second motors having first and second drive shafts, respectively; (b) drive shaft velocity control means coupled to said motors for controlling both the absolute speed of at least one of said motors and the relative speed of one of said motors relative to the other; and (c) translation gears affixed to said drive shafts for translating rotary motion therefrom to rotary motion of respective coaxial shafts coupled to respective primary and secondary driving members of the tandem-connected planetary gear assemblies. 17. The combination as claimed in claim 16, wherein said first and second motors are internal combustion engines, said speed control means controls the fuel supplied to a carburettor ¯common to both engines and the apportionment of this fuel to the engines, and further comprising means for selectively reversibly decoupling at least one of said motor drive shafts from said planetary gear assembly. 18. The combination as claimed in claim 17, wherein said first and second motors are electric and said drive shaft velocity control means controls the electric power applied to each of the motors. 19. The combination as claimed in claim 16, 17, or 18 wherein the primary driving, secondary driving and driven follower members are the planetary carrier cage, ring gear, and sun gear, respectively of the first and second planetary gear sets. 20. The combination as claimed in claim 16, 17, or 18 wherein the primary driving, secondary driving and driven follower members of the first planetary gear assembly are the planetary carrier cage, ring gear and sun gear, respectively, and the primary driving, secondary driving and driven follower members of the second planetary gear assembly are the planetary carrier cage, the ring gear, and the sun gear, respectively. 21 The combination as claimed in claim 8, 9, or 15 wherein the first discrete source of rotary power is an output shaft coupled through rotary driving means to an engine and the second discrete source of rotary power is an output shaft coupled through rotary motion modification means to the output shaft of the engine. 22. The combination of an engine and a planetary gear transmission, comprising: (a) an engine having a rotary output' shaft; (b) an engine neutralizing planetary gear assembly having an input member for direct coupling to said rotary output shaft, a locking member releasably lockable in a fixed position, and an output member; (c) A fluid coupled assembly having an impeller wheel directly coupled to the output member of said engine neutralizing planetary gear assembly and a turbine wheel; (d) a pair of tandem-connected planetary gear assemblies, each assembly having a ring gear, a sun gear and a planetary carrier cage member, said assembly members defining: (i) a primary driving member; (ii) a secondary driving member; and (iii) a driven follower member, the secondary members being directly coupled, the driven follower member of the first assembly being directly coupled to the primary driving member of the second assembly, and such that when the driven follower member of the second assembly is the planetary carrier cage, then the primary and secondary driving members of the first assembly, in combination, are other than a combination of the ring gear and sun gear, and when the driven follower member of the second assembly is the planetary carrier cage and the ring gear and sun gear of the first assembly, in combination, are a combination of the secondary driving and driven follower members of the first assembly, then the primary and secondary inputs to the first assembly, in combination, are other than a combination of the planetary carrier cage and sun gear, and other than a pair of tandem-connected assemblies in which the planetary carrier cage of the first assembly is coupled to that of the second assembly and the ring gear of the first assembly is coupled to the sun gear of the second assembly; and that driving member of the primary and secondary driving members of the first assembly having the lowest speed of rotation when the speed of rotation of the driven follower member of the second assembly is zero, being coupled to the turbine wheel, and the other of said primary and secondary driving members of the first assembly being non-slippably coupled to the output member of the engine neutralizing planetary gear assembly. 23. The combination as claimed in claim 22, further comprising means for constraining the driven follower member of the second planetary gear assembly to rotate in only one direction. 24. The combination as claimed in claim 23, further comprising means to constrain the turbine wheel of the fluid coupling to rotation at angular velocities less than or equal to those of the impeller wheel but in the same direction as the latter. 25. The combination as claimed in-claim 24, wherein the primary driving, secondary driving and driven follower members of the tandem-connected planetary gear assemblies are the planetary carrier cage, ring gear and sun gear, respectively. 26. The combination as claimed in claim 25, wherein the input member, locking member and output member of the engine neutralizing planetary gear assembly are the planetary carrier cage, sun gear and ring gear, respectively. 27. The combination as claimed in claim 26, wherein the driven follower constraining means constrains rotation of the driven follower member of the second planetary gear assembly to be in the same direction as that of the secondary driving members of the tandem-connected planetary gear assemblies. 28. The combination as claimed in claim 23, 24 or 27 wherein the driven follower constraining means is a one-way clutch. 29. The combination as claimed in claim 25, 26 or 27 wherein the turbine wheel constraining means is a oneway clutch. 30. The combination as claimed in claim 22, 26 or 27 further comprising a set of speed adjusting gears in the coupling of one of the primary and secondary driving members of the first planetary gear assembly to the output member of the engine neutralizing planetary gear assembly for setting the speed of rotation of the driving member of the first planetary gear assembly, which is coupled to the turbine wheel, to be a preselected amount greater than that of the other driving members of the first planetary gear assembly when there is a maximum coupling between the impeller wheel and turbine wheel of the fluid coupling so that a preselected amount of overdrive is obtained. 31. The combination as claimed in claim 24, wherein the primary driving, secondary driving, and driven follower members of the first planetary gear assembly are the planetary carrier cage, ring gear and sun gear, respectively, and the primary driving, secondary driving and driven follower members of the second planetary gear assembly are the planetary carrier cage, the ring gear and sun gear, respectively. 32. The combination as claimed in claim 1, 2 or 3 wherein the first and second discrete sources of rotary power comprise: (a) first and second motors having first and second drive shafts, respectively; (b) drive shaft velocity control means coupled to said iaotors for controlling both the absolute speed of at least one of said motors and the relative speed of one of said motors relative to the other; and (c) translation gears affixed to said drive shafts for translating rotary motion therefrom to rotary motion of respective coaxial shafts coupled to the respective primary and secondary driving members of the planetary gear assembly. 33. A device as claimed in claim 1, wherein the first and second discrete sources of rotary power comprise: (a) first and second reversible motors having first and second drive shafts, respectively; (b) drive shaft velocity control means coupled to said motors for controlling both the absolute speed of at least one of said motors and the relative speed of one of said motors relative to the other; and (c) translation gears affixed to said drive shafts for translating rotary motion therefrom to rotary motion of respective coaxial shafts coupled to the respective primary and secondary driving members of the planetary gear assembly. 34. The combination as claimed in claim 15, wherein the first and second discrete sources of rotary power comprise: (a) first and second reversible motors having first and second drive shafts, respectively; (b) drive shaft velocity control means coupled to said motors for controlling both the absolute speed of at least one of said motors and the relative speed of one of said motors relative to the other; and (c) translation gears affixed to said drive shafts for translating rotary motion therefrom to rotary motion of respective coaxial shafts coupled to respective primary and secondary driving members of the tandem-connected planetary gear assemblies. 35. The combination that is defined in Claim 8 or 22 wherein the carrier of one set is connected to the carrier of the other set as shown in Figures 31 or 32. 36. The combination that is defined in Claim 8 or 22 wherein the two inputs are connected to the two carriers as shown in Figures 28a or 28b. 37. The combination that is defined in Claim 8 or 22 wherein the inputs are connected to the carrier and sun and the ring gear of each set is connected to each other and the output is taken from the ring gear as shown in Figure 22 or 23. 38. The combination that is defined in Claim 8 or 22 wherein the inputs are connected to the carrier and ring and the sun gear of each set is connected to each other and the output is taken from sun as shown in Figure 25 or 33. 39. The combination that is defined in Claim 8 or 22 wherein the inputs are connected to the carrier and sun and the other sun and a ring gear are interconnected and the output is taken from the same as shown in Figure 26 or 30. 40. The combination that is defined in Claim 8 or 22 wherein the inputs are connected to the ring and carrier and the other ring gear and a sun are interconnected and the output taken from the same as shown in Figure 29 or 36.

Inventors: GABRIELE, DARCY
Applicants: GABRIELE, DARCY
Application year: 1981
Main classification: F16H3
IPC codes: F16H47, F16H3