Abstract:
A seeker having a gyroscopic spin stabilized optical arrangement adapted to gimbal relative to a body in response to a current fed to a precession coil by a processor. Gimballing action of such optical arrangement within the body is measured by a voltage induced in a cage coil. The precession coil and cage coil are mounted adjacent to each other. The seeker includes a cage coil compensator comprising a differencing network and a differentiator. Changes in the current fed to the precession coil induces unwanted voltage in the adjacent cage coil. The differentiator is fed by the current in the precession coil to produce a voltage related to the rate of change in the current in the precession coil and hence, related to the undesired voltage induced in the cage coil. The differencing network is fed by the voltage produced by the differentiator and the total voltage induced in the cage coil to subtract from such total voltage the undesired portion thereof induced therein by the adjacent precession coil. With such arrangement, cancellation of the undesired voltage induced in the cage coil is provided by an electronic circuit thereby eliminating the requirement of an additional caging cancellation coil.

Description:
BACKGROUND OF THE INVENTION 
     This invention relates generally to seekers and more particularly to gyroscopic, spin stabilized missile seekers. 
     As is known in the art, seekers of the gyroscopic, spin stabilized type have been used successfully in many applications. One such system is described in U.S. Pat. No. 3,872,308 issued Mar. 18, 1975, inventors James E. Hopson and Gordon G. MacKenzie, assigned to the same assignee as the present invention. As is known, in one type of such system, a missile seeker includes a catadioptric arrangement made up of a spherical primary mirror and flat secondary mirror arranged to focus infrared energy received from an object. The primary and secondary mirrors are fixed to one another. The housing of the primary mirror is a magnet. The magnet reacts with a magnetic flux produced by adjacent, missile body mounted, motor coils, to cause the primary mirror and the attached secondary mirror to rotate as a single unit about an axis of rotation. The catadioptric arrangement is also gimballed in pitch and yaw within the missile body. The rotating catadioptric arrangement acts as a two degree of freedom gyroscope. By forming the catadioptric arrangement as a gyroscope the mass formed by the primary and secondary mirrors will maintain the axis of rotation in inertial space decoupled from the missile&#39;s body unless acted upon by a gimbal section responding to tracking boresight error signals produced by a processor. 
     As is also known, one missile seeker of such type includes a precession coil and a cage coil. The field produced by the precession coil drives the gimballed catadioptric arrangement in pitch and yaw within the body of the missile. More particularly, the precession coil is fixed to the body of the missile and is wrapped circumferentially about the missile&#39;s center line. The precession coil encircles, but is spaced from, the magnetic housing of the primary mirror. A sinusoidal precession coil current, having a period equal to the period of rotation of the housing about the axis of rotation, is fed to the precession coil from the processor. The precession coil current is produced to enable the gimballed catadioptric arrangement to maintain track of the target. More particularly, in response to the precession coil current, a magnetic field component perpendicular to the magnetic field of the rotating primary mirror housing, is produced by the precession coil which reacts with the rotating magnetic field produced by the permanent magnet housing to produce a torque on the housing. In response to such torque the position of the axis of rotation, in inertial space, changes. The magnitude of the rate of change in the angular position of the axis of rotation in inertial space is proportional to the magnitude of the current passed to the precession coil by the processor. Such current produced by the processor being proportional to the boresight error (i.e., the deviation between the line of sight to the target (i.e., the boresight axis) and the axis of rotation). 
     Also included in such seeker is a cage coil used to sense the angular deviation of the axis of rotation from the missile body&#39;s center line. The cage coil is fixed to the body of the missile and is also wrapped circumferentially about the missile body&#39;s center line in a manner similar to the precession coil so that it also encircles the permanent magnet housing of the primary mirror. The cage coil is disposed laterally along the missile body&#39;s center line and is placed adjacent to the precession coil. As the permanent magnet housing rotates about the axis of rotation, a component of the associated rotating magnetic field produced by such housing induces a sinusoidal voltage in the cage coil with a magnitude related to the magnetic flux linking to the cage coil. The magnitude of the induced voltage is proportional to the magnitude of the angular deviation of the axis of rotation from the missile body&#39;s center line. The phase of the voltage induced in the cage coil, relative to the phase of a voltage induced to a body mounted reference coil, is proportional to the angular direction of the angular deviation of the axis of rotation from a yaw axis of the missile&#39;s body. It is noted that in changing the magnitude of the current fed to the precession coil, because of the proximity of the cage coil, an unwanted voltage is induced in the adjacent cage coil. This cage coil induced voltage is proportional to the time rate of change in the precession coil current. Further, as noted above, a desired voltage is induced in the cage coil proportional to the angular deviation of the axis of rotation from the missile body&#39;s center line. The cage coil thus has induced in it a desired voltage (the voltage indicating the angular deviation of the axis of rotation from the missile body&#39;s center line) and an undesired voltage (the voltage induced in it in response to a change in the current fed to the adjacent precession coil). This undesired induced voltage thus corrupts the accuracy of the voltage induced in the cage coil. 
     One solution to this problem is to use a third circular coil, sometimes referred to as a caging cancellation coil, arranged to cancel the magnetic coupling from the precession coil. Achieving cancellation in this manner however, not only increases the complexity of the coil designs but also reduces the caging coil induced voltage and seriously degrades the linearity of the signal amplitude verses the angle between the axis of rotation and the missile body&#39;s longitudinal axis due to the back electromotive force (EMF) also generated in the cancellation coil. 
     SUMMARY OF THE INVENTION 
     With this background of the invention in mind it is therefore an object of this invention to provide an improved seeker system. 
     It is another object of the invention to provide an improved gyroscopic, spin stabilized missile seeker of the type having adjacently mounted cage and precession coils. 
     These and other objects of the invention are attained generally by providing a seeker having a gyroscopic spin stabilized optical arrangement adapted to gimbal relative to a missile body in response to a current fed to a precession coil, gimballing action of such optical arrangement being measured by a voltage induced in a cage coil, such precession coil and cage coils being mounted adjacent each other, such seeker including a cage coil compensator comprising: a differentiator means, fed by a measure of the current in the precession coil, for producing a voltage related to the rate of change of the current in the precession coil; and, differencing means fed by: (i) the voltage induced in the cage coil, such induced voltage having a desired component related to the motion of the optical arrangement relative to the missile body, and an undesired component related to the rate of change of the current in the precession coil; and, (ii) the voltage produced by the differentiator means, for cancelling the undesired component of the voltage induced in the cage coil. 
     In a preferred embodiment of the invention, the differentiator means includes: a resistor fed by current in the precession coil for producing a voltage related to the current in the precession coil; and, a capacitor and wherein the differencing means includes a differential amplifier having a first input coupled to the cage coil and wherein the capacitor is coupled between the resistor and a second input of the differential amplifier. 
     With such arrangement, cancellation of the undesired voltage induced in the cage coil is provided by an electronic circuit thereby eliminating the requirement of an additional caging cancellation coil. 
    
    
     BRIEF DESCRIPTION OF THE DRAWINGS 
     The aforementioned and other features of the invention will become more apparent by reference to the following description taken together in connection with the accompanying drawings in which: 
     FIG. 1 is a simplified isometric sketch of the frontal portion of a missile incorporating an optical system according to the invention as the seeker thereof; 
     FIG. 2 is the diagram of the array of detectors used in the seeker of FIG. 1, such array being disposed in a detector plane; 
     FIG. 3 is a sketch showing the focal plane of a gimballed scanning and focusing system used in the seeker of FIG. 1 and the detector plane of FIG. 2 having disposed therein an array of detectors used in such seeker when the planes are in a skewed condition; 
     FIGS. 4A-4C show the orientation of three sets of detectors in the array of FIG. 2 and the relationship of such sets to six sectoral regions of the detector array; 
     FIG. 5 is a cross-sectional sketch, greatly simplified, of the seeker of FIG. 1 with the gimballed axis of rotation of the optical system aligned with the longitudinal center line, of the missile, the upper half of such cross-section being taken along a yaw axis of the body of the missile and the bottom half being taken along the pitch axis of the missile; 
     FIG. 6 is a diagrammatical sketch showing the relationship between motor coils used in a gimbal control section of the seeker of FIG. 1 to the pitch and yaw axis of the missile&#39;s body, and to a rotating permanent magnet housing for a primary mirror used in the optical system; 
     FIGS. 7A-7B are sketches of the path traced by a focused spot, S, on a focal plane as a scanning and focusing system of the optical system rotates about an axis of rotation; FIG. 7A showing such path traced by the focused spot, S, when a target is orientated along the axis of rotation, and FIG. 7B showing the path traced by such spot, S, when the target is orientated at an angle φ with respect to a reference axis of the missile&#39;s body and displaced in angle from the axis of rotation an amount proportional to R T  ; 
     FIG. 8 is a diagrammatical sketch showing the relationship of a pair of reference coils used in the gimbal control section to the missile&#39;s body; 
     FIGS. 9A and 9B are diagrammatical sketches. FIG. 9A is a frontal view showing the orientation of a cage coil located in the gimbal control section relative to the primary mirror housing and the pitch and yaw axis of the missiles, and FIG. 9B is a cross-section diagrammatical sketch taken along the missile body&#39;s yaw axis showing the orientation of the cage coil of FIG. 9A, and an adjacent precession coil used in the gimbal control section, relative to the housing of the primary mirror and the pitch and yaw axis of the missile; 
     FIGS. 10A-10D are time histories of voltages induced in one of the pair of reference coils and cage coil after compensation under different gimbal angle conditions; FIG. 10A showing the time history of the voltage induced in one of the pair of reference coils; and FIGS. 10B-10D showing the time history of voltages induced in the cage coil after compensation for three correspondingly different skew angular orientations between the detector plane and the focal plane; and 
     FIG. 11 is a block diagram of a quadrature combining circuit within the processor for combining voltages induced in the pair of reference coils to develop the current required for the precession coil for target tracking. 
    
    
     DESCRIPTION OF THE PREFERRED EMBODIMENT 
     Referring now to FIG. 1, a guided missile 10 is shown to carry within its frontal portion an optical system, here a missile seeker 16, such missile seeker 16 being responsive to that portion of the infrared energy radiated from an object, here a target (not shown) and entering the frontal portion of the missile 10. The seeker 16 includes a gimballed scanning and focusing system 18, a detector section 20, a processing section 22, a gimbal control section 24, and a gimbal section 25. The gimballed scanning and focusing system 18 focuses a portion of the radiant energy passing through the frontal portion of the missile 10 onto a spot in a focal plane 26 (shown in phantom in FIG. 1) and rotates about an axis of rotation 37 to scan such focused spot in a circular path on the focal plane 26. The detector section 20 includes a plurality of, here 10, detectors 42 1  -42 10  arranged in an array 28 disposed in a detector plane 30, as shown in detail in FIG. 2. The detector plane 30 is fixed to the body of missile 10. As will be described hereinafter, if the scanning and focusing system 18 is gimballed in pitch and/or yaw relative to the body of missile 10 (as indicated by arrows 32, 34) by magnetically coupled forces generated by the gimbal control section 24 and/or if the missile&#39;s body pitches and/or yaws and/or rolls in space, the focal plane 26 of the scanning and focusing system 18 may be skewed with respect to the detector plane 30, as shown in FIG. 3. Hence, when in a skewed condition, while one portion of the array 28 of detectors will be out of focus, the portion of the array 28 on, or adjacent to, the line 49 (FIG. 3) formed by the intersection of the skewed detector and focal planes 30, 26, will be in, or substantially in, focus. Referring again to FIG. 1, the processing section 22 includes a selector section 40 for identifying and, then coupling, the portion of the detectors 42 1  -42 10  of array 28 disposed in, or adjacent to line 49, and hence in, or substantially in, focus to processor 41. The processor 41, in response to the signals produced by the identified and coupled portion of the detectors 42 1  -42 10  produces, inter alia, a signal representative of the deviation of the line of sight to the target (hereinafter referred to as the boresight error axis 36 from the axis of rotation 37 (i.e., a signal representative of boresight error). This boresight error signal is used to guide the missile 10 toward the target and is also fed from processor 41 gimbal control section 24, via line 86, to move the scanning and focusing system 18 to maintain track of the target. 
     The detector section 20, as mentioned above, includes a plurality of detectors, here 10 detectors 42 1  -42 10 , arranged as shown in FIG. 2, in array 28 disposed in the detector plane 30. The detector plane 30 is fixed to the body of missile 10 and is normal to the longitudinal center line 38 of the missile 10. As shown, detector 42 1  is positioned at the center 27 of the array 28. The center 27 is along the missile&#39;s center line 38. Detectors 42 2 , 42 3 , 42 4 , 42 5 , 42 6  and 42 7 , are regularly angularly spaced along the outer, circumferential, periphery of the array 28 about the centrally positioned detector 42 1 . Detector 42 2  is positioned along the missile body&#39;s yaw axis 43. Thus, detector 42 2  is disposed at 0°, and detectors 42 3 , 42 4 , 42 5 , 42 6  and 42 7 , are positioned at 60°, 120°, 180°, 240° and 300°, respectively, from the missile&#39;s yaw axis 43. Disposed along the circumference of a circle concentric with the outer circumferential periphery and having a radius intermediate the radius of the outer periphery are detectors 42 8 , 42 9 , and 42 10 . Detector 42 8  is positioned between detector 42 3  and 42 4  and hence is positioned 90°  from detector 42 2  (i.e., along the missile&#39;s pitch axis 45). Likewise, detector 42 9  is positioned 210° from detector 42 1  and detector 42 10  is positioned 330° from detector 42 2 . It is further noted that detectors 42 1  to 42 10  are arranged in 3 sets 44 1 , 44 2  and 44 3 . Detectors 42 2 , 42 10 , 42 1 , 42 9  and 42 5  are in set 44 1 . Detectors 42 4 , 42 8 , 42 1 , 42 9  and 42 6  are in set 44 2 . Likewise detectors 42 3 , 42 8 , 42 1 , 42 10  and 42 7  are in set 44 3 . Each one of the three sets 44 1  -44 3  is disposed along a corresponding one of three different, partially overlaping regions 46 1  -46 3  extending radially from the center 27 of the array 28 along directions 0°, 60° and 120°  from the missile&#39;s yaw axis 43, respectively. Thus set 44 1  is directed along the 0° (and 180°) or missile body&#39;s yaw axis 43. Set 44 2  is directed along a line 60° (and 240°) from the missile body&#39;s yaw axis 43. Set 44 3  is directed along a line 120° (and 300°) from the missile body&#39;s yaw axis 43. 
     The array 28 of detectors 42 1  -42 10  is mounted to a Dewar flask and a cryogenic chamber included within the detector section 20 (FIG. 1), and fixed to the body of missile 10, for enabling a suitable cyrogenic substance to cool the array 28 of detectors 42 1  -42 10 . The mechanical pivot point of the gimballed scanning and focusing system 18 is in the detector plane 30 at the intersection of the axis of rotation 37 and the missile&#39;s center line 38. Thus, the mechanical pivot point is at the center 27 of the array 28 of detectors 42 1  -42 10 , (i.e., it is coincident with detector 42 1 ). It should also be noted that the axis of rotation 37 intersects the detector plane 30 at the center 27, or pivot point, regardless of the pitch, yaw, or roll angular excursion of the scanning and focusing system 18 which excursion may be produced by the gimbal control section 24 acting on the gimbal section 25 and/or by the motion of the missile 10 in space, acting signals produced by processor 41, as noted above. 
     As further noted above, the scanning and focusing system 18 focuses infrared energy from the target passing through the frontal portion of the missile 10 onto the focal plane 26 (shown in phantom in FIG. 1). When the gimballed scanning and focusing system 18 is directed along the longitudinal center line 38 of the missile 10, the detector plane 30 is co-planar with the focal plane 26 and the image formed by the focusing system 18 will be in focus with all of the detectors 44 1  -44 10  in the array 28. However, as mentioned above, if the scanning and focusing system 18 moves in pitch and yaw relative to the missile&#39;s body by the gimbal control section 24 acting on gimbal section 25, as when tracking a target, and/or if the missile&#39;s body pitches and/or yaws and/or rolls in space, the focal plane 26 and the detector plane 30 will become skewed as shown in FIGS. 2 and 4. Thus, in this skewed condition the image formed by the scanning and focusing system 18 will not be in focus with all of the detectors 44 1  -44 10  in the detector plane 30. It is noted however, that the image will be in focus along the line 49 (FIG. 3) formed by the intersection of the skewed focal and detector planes 26, 30. It is noted that the line 49 of intersection is the line, in the detector plane 30, which is perpendicular (i.e., 90°) to the projection 50 of the axis of rotation 37 onto the detector plane 30. The projection 50 of the axis of rotation 37 is shown at an angle α from the missile&#39;s yaw axis 43. Thus, the angular deviation, θ, of the line 49 of intersection from a reference axis fixed to the body, such as the missile yaw axis 43 or pitch axis 45, here the yaw axis 43, is equal to (α+90°). As will be described, the angle α is quantized to a selected one of six values and is obtained from signals produced by gimbal control section 24 in a manner to be described. Suffice it to say here, however, that in response to the signals produced by gimbal control section 24 (FIG. 1) the processing section 22 enables selection of the one of the three sets 44 1  -44 2  of detectors (FIG. 2) disposed along, or adjacent to line 49, and hence in, or substantially in, focus by the gimballed scanning and focusing system 18. More specifically, an output, to be described, produced by the gimbal control section 24 is fed to the processing section 22. Processing section 22 includes a phase detector 75 which, in response to the signals produced by the gimbal control section 24 in a manner to be described, produces a signal representative of the quantized angular deviation α. This signal is used as a control signal for the selector section 40 included within the processing section 22. The selector section 40 is fed by the outputs of the 10 detectors 42 1  -42 10  on lines 55 1  -55 10 , respectively. In response to the control signal provided by the phase detector 75 the outputs of 5 of the 10 detectors 42 1  -42 10  in the selected one of the three sets 44 1  -44 3  of detectors which are well focused are selectively coupled to a processor 41 via lines 56 1  -56 5  while the remaining, unselected 5 detectors (i.e., the detectors in the unselected 2 sets 44 1  -44 3  of detectors) are inhibited from passing to the processor 41. 
     More specifically, as shown in FIG. 4A, the array 28 of detectors 42 1  -42 10  is quantized into a plurality of, here 6, equal angular sectors 60 1  to 60 6 . Thus, the intersectors of the sectors 60 1  to 60 6  are disposed at angles 0°, 60°, 120°, 180°, 240° and 300°, respectively, from the missile body&#39;s yaw axis 43. Thus, as noted above, and as will be described, the gimbal control section 24 produces signals which enable determination of the quantized angular deviation, α, of the projection 50 of the axis of rotation 37 (FIG. 3) onto the detector plane 30, from the missile body&#39;s yaw axis 43 to within one of the six sectors 60 1  -60 6 . Further, as described above in connection with FIG. 3, the line 49 of intersection of the skewed focal and detector planes 26, 30, is at an angle θ=α+90° from the missile&#39;s yaw axis 43. Thus, referring also to FIGS. 4A-4C, if the signals produced by the gimbal control section 24 indicates that α (which is perpendicular to the line 49 of intersection) is between 60° and 120° (i.e., in sector 60 2 ), or between 240° and 300°, (i.e., in sector 60 5 ), the detectors 42 2 , 42 10 , 42 1 , 42 9  and 42 5  in set 44 1  are selectively coupled to the processor 41 by selector section 40. If α is between 0° and 60°, or between 180° and 240°, (FIG. 4C), the detectors 42 7 , 42 10 , 42 1 , 42 8  and 42 4 , in set 44 3  are selectively coupled to the processor 41. Likewise, if α is between 120° and 180°, or between 300° and 360°, (or 0°) (FIG. 4B) the detectors 42 3 , 42 8 , 42 1 , 42 9  and 42 6 , in set 44 2  are selectively coupled to the processor 41. This arrangement thus provides that five detectors from the total of 10, 42 1  -42 10  in the one of the three sets 44 1  -44 3  aligned along, or adjacent to line 49 (and hence, which are in, or are substantially in focus) pass to the processor 41. The energy impinging on the selected one of the three sets 44 1  -44 3  of detectors in the detector array 28 is processed by the processing section 22 (FIG. 1), to produce electrical signals for the wing control section (not shown) of the missile 10 and via line 86 for the gimbal control section 24. As will be described, the gimbal section 25, in response to gimbal section 24, is used to gimbal the scanning and focusing system 18 within the missile 10 so as to cause the optical system 16 to track the target independent of missile pitch, yaw or roll motion. More specifically to gimbal the scanning and focusing system 18 within the missile to drive the boresight error axis 36, here, preferably, towards the center of the array 28 of detectors 42 1  -42 10 , i.e., towards detector 42 1 . Such arrangement prevents boresight error transients when switching between detector sets while tracking targets in pitch or yaw and when the missile rolls. 
     Referring now to FIG. 5, the scanning and focusing system 18 is here shown with the boresight error axis 36 aligned with the axis of rotation 37 and the center line 38 of the missile. The upper half of FIG. 5 is a cross section taken along the missile body&#39;s yaw axis 43 and the cross section of the bottom half of FIG. 5 is taken along the missile body&#39;s pitch axis 45. The focusing system 18 includes a catadioptric optical arrangement which here includes a spherical primary mirror 60 and an attached flat secondary mirror 58, and attached focusing lens 56, here silicon, disposed symetrically about an axis of rotation 37. The flat secondary mirror 58, is disposed in a plane tilted at an angle γ with respect to a plane normal to the axis of rotation 37. Thus, the optic axis is displaced from the axis of rotation 37 by 2 γ. More specifically, the plane of the tilted secondary mirror 58 intersects the focal plane 26 and at the angle γ. The flat secondary mirror 58, lens 56, and the primary mirror 60 are fixedly attached to one another by supports 70a and 70b. The catadioptric optical arrangement focuses a portion of the infrared energy from the target passing through the missile&#39;s frontal portion into a small spot on the focal plane 26. The frontal portion of the missile 10 is a conventional IR dome 69 rigidly mounted to the missile 10. The IR dome 69 is optically designed to reduce spherical aberration introduced by the spherical primary mirror 60. The flat secondary mirror 58 is used to fold and displace the path of infrared energy within the scanning and focusing system 18, as shown by the dotted line 63. The primary mirror 60 and attached tilted, flat, secondary mirror 58, and lens 56 (which has its instantaneous optic axis 36A displaced by the 2 γ from the axis of rotation 37), are adapted to rotate, as one unit, with respect to the body of missile 10, about the axis of rotation 37 of the scanning and focusing system 18, here by forming the primary mirror 60 as the rotor of an electrical motor. In particular, the housing 61 of the primary mirror 60 is a permanent magnet having north and south poles, the north pole indicated by N (shown in FIG. 5) and is here aligned with the missile body&#39;s yaw axis 43. As will be described, a primary purpose of the rotating housing 61 is to form a gyroscope such that the primary mirror 60 will maintain the axis of rotation 37 in inertial space, uncoupled from the body of the missile unless acted on by the gimbal control section 24 in response to signals fed through from processor 41 via line 86. It should be noted that, because the housing 61 is attached to the tilted mirror 58, the north/south axis 74 of the housing 61 intersects the plane of the tilted mirror 58 at the angle γ even as the housing rotates about the axis of rotation 37. 
     The housing 61 is adapted to rotate about the axis of rotation 37 by means of bearings 59 coupled between support structure 70a of the housing 61 and a hollow support member 67. The stator of such motor includes two pairs of motor coils 62a, 62b (FIG. 6) fixed to the body of the missile 10 in the gimbal control section 24. The motor coil pair 62a includes two serially connected coil sections, each wrapped around an axis 45° with respect to the missile body&#39;s yaw axis 43, as shown, on opposing sides of the permanent magnet housing 61. Likewise, motor coil pair 62b includes two serially connected coil sections, each wrapped around an axis -45° with respect to the missile body&#39;s yaw axis 43 on opposing sides of housing 61. A sinusoidal current, I, fed through motor coil pair 62a is 90° out of phase with the sinusoidal current, I, fed across motor coil pair 62b. The spatial orientation of the coil pair 62a, 62b and the phase of the currents applied to such coil pairs 62a, 62b establishes a magnetic field perpendicular to the missile&#39;s center line 38 which reacts with the magnetic field produced by permanent magnet housing 61, to produce a rotational torque about the axis of rotation 37. A pair of reference coils 66a, 66b (which will be described in detail hereinafter) is included in the gimbal control section 24 (FIG. 1). One of the pair of reference coil 66a, 66b, here reference coil 66a, produces a sinusoidal voltage on line 66&#39;a; i.e., a reference signal indicating the rotational position of the north/south axis 74 relative to the body yaw axis 43 as well as the rotational rate (ω) of the housing 61. This reference signal on line 66&#39;a from reference coil 66a is fed, inter alia, to a rotation rate, or speed controller 65. The rotation speed controller 65 adjusts the sinusoidal current (both magnitude and phase) to the motor coil pairs 62a, 62b in response to the rotational rate signal produced by the reference coil 66a to cause a constant angular rate of rotation (ω) of the primary mirror 60 about the axis of rotation 37, as indicated by arrows 57 in FIG. 6, in a conventional feedback system manner. 
     Referring again to FIG. 5, the hollow support member 67 (and hence the attached primary and secondary mirrors 60, 58, and lens 56) is mechanically coupled to the body of the missile 10 through a two-degree of freedom gimbal system made up of: a support 76a, fixed to the missile body; an outer gimbal ring 76b, pivotally coupled to the support 76a by a gimbal section bearing 71; and, an inner gimbal ring 76c, integrally formed with hollow support member 67 and pivotally coupled to outer gimbal ring 76b by bearing 73. The rotation axis of bearings 71, 73 are orthogonal to each other and both pass through pivot point 27, detector plane 30, and focal plane 26. 
     In operation, then, infrared energy from the target passing through the frontal portion of the missile 10 is scanned and focused to a small spot in the focal plane 26 by the catadioptric focusing arrangement. The secondary mirror 58 is tilted, as described, so that it nutates the spot along the instantaneous optic axis 36A about the axis of rotation 37 when tracking a target with no boresight error; i.e., the boresight error axis 36 is coincident with the axis of rotation 37. As the scanning and focusing system 18 rotates about the axis of rotation 37, the optic axis of the catadioptric arrangement will trace a circle in the focal plane 26. Thus, the spot, which is at the intersection of the focal plane 26 and the optic axis, will scan, or trace a circular path on the focal plane 26. The center of the circle formed by the instantaneous optic axis 36A during a rotation of lens 56, secondary mirror 58 and primary mirror 60 will be along the boresight error axis 36. The boresight error is thus a function of the position of the center, 36, of the circle relative to the point of intersection of the axis of rotation 37 and the focal plane 26. Thus, for example, if the target were orientated along the axis of rotation 37, the energy from such would be focused to a spot, S, along the instantaneous optic axis 36A on the focal plane 26, as shown in FIG. 7A, translated from the center 27 of focal plane 26 by an amount R related to the tilt angle, γ, of the secondary mirror 58. Further, if the axis of rotation 37 were aligned with the missile&#39;s center line 38 and if the north/south axis 74 of the housing 61 were aligned with the missile body&#39;s yaw axis 43, the spot would lie on the body&#39;s yaw axis 43 as shown in FIG. 7A at point S 1 , at one instant in time and as the housing 61, and attached secondary mirror 58, rotate about the axis of rotation 37, the spot, S, would trace a circle of radius R centered at the axis of rotation 37. If, however, the boresight error axis 36 was angularly offset from the axis of rotation 37, the spot, S, would be displaced from the axis of rotation 37 here an amount R T  and as the tilted mirror 58 rotates about the axis of rotation 37, the spot, S, would again trace a circle of radius R. However, as shown in FIG. 7B, the center of such circle would now lie along an axis 51 on the focal plane 26, displaced by the angular deviation φ of axis 51 from the missile body&#39;s yaw axis 43. The angular deviation φ combined with the displacement of the center of the circle from the axis of rotation 37, R T , provide the polar coordinates of the boresight error tracking signal produced by the processor 41 on line 86 to enable tracking of the target. (The tilted mirror 58, in effect, may be viewed as causing each of the detectors 42 1  -42 10  to sense and trace an independent circular region of object space as focused by the primary mirror 60. The independent circle center locations are determined by the location of each of the detectors 42 1  -42 10 . The combined coverage of the five circles from the selectd one of the sets 44 1  -44 3  determines the field of view over which a target may be tracked or a boresight error signal generated). As noted above, if the axis of rotation 37 and the missile&#39;s center line 38 were not aligned, the focal and detector planes 26, 30 would be skewed and would intersect at an acute angle. Therefore, the axis of rotation 37 deviates from the missile&#39;s center line 38. In this skewed condition, the spot traced in the detector plane 30 will not be a circle, but rather will be an ellipse. However, because the ellipse crosses the detectors selected at the same place as the circle, no error is introduced. As noted above, the processor 41 responds only to detectors disposed in, or substantially in, both the detector plane 30 and the focal plane 26, the computation of the translation R T  center of the circle traced in the focal plane 26 and the angular deviation φ of the axis 51 from the missile body&#39;s yaw axis 43 enables the processor 41 to produce a proper target tracking boresight error signal on line 86 to drive the gimballed scanning focusing system 18 via gimbal control section 24 and gimbal section 25 to maintain track of the target. 
     The pair of reference coils 66a, 66b are shown in FIG. 8, and sense the spin, or angular, orientation of the gimballed scanning and focusing system 18, relative to the missile&#39;s body. More particularly, the reference coil 66a is used to determine the rotational position of primary mirror housing 61 (more particularly the north/south axis 74), about the axis of rotation 37, relative to the yaw axis 43 and reference coil 66b is used similarly relative to the pitch axis 45. The reference coil 66a shown in FIG. 8 to be made up of two serially connected coil sections fixed to the body of missile 10 and wrapped around the missile&#39;s yaw axis 43 on opposite sides of permanent magnetic housing 61 and reference coil 66b  is made up of two serially connected coil sections fixed to the body of the missile 10 and wrapped around the missile&#39;s pitch axis 45 on opposite sides of housing 61. As the permanent magnetic housing 61 of the primary mirror rotates about the axis of rotation 37, the magnetic field produced by such housing 61 rotates about the axis of rotation 37. A component of such magnetic field rotation occurs about the missile&#39;s center line 38. The accompanying time rate of change in magnetic field induces a sinusoidal voltage on line 66&#39;a of the reference coil 66a. The phase of the induced sinusoidal voltage on line 66&#39;a relates to the angular orientation of the housing 61 relative to the missile body&#39;s yaw axis 43. More particularly, the sinusoidal voltage induced in reference coil 66a reaches a maximum (or minimum) when the north/south axis 74 is perpendicular to the missile body&#39;s yaw axis 43. Likewise, the sinusoidal voltage induced in reference coil 66b reaches a maximum (or minimum) when the north/south axis is perpendicular to the missile body&#39;s pitch axis 45. Therefore, when the reference coil 66a induced voltage on line 66&#39;a reaches a maximum, an indication is provided that the north/south axis 74 is perpendicular to the missile body&#39;s yaw axis 43. Likewise, when the reference coil 66b induced voltage on line 66&#39;b reaches a maximum, an indication is provided that the north/south axis 74 is perpendicular to the missile&#39;s pitch axis 45. Thus, the induced voltage on line 66&#39;a of reference coil 66a provides a reference signal which indicates the rotational angular orientation of the primary mirror 60 (and hence, the tilt of the tilted secondary mirror 58) relative to the missile body&#39;s yaw axis 43 and the induced voltage in line 66&#39;b of reference coil 66a provides a reference signal which indicates the rotational angular orientation of the tilted secondary mirror 58 relative to pitch axis 45. 
     The gimbal control section 24 also includes a precession coil 64 (FIGS. 9A and 9B) for driving the gimballed scanning and focusing system 18 about the gimbal system bearing 73 and the orthogonal gimbal system bearing 71 (FIG. 5) indicated by arrows 32, 34 as mentioned above in connection with FIG. 1. More particularly, the precession coil 64 is fixed to the body of missile 10 and is wrapped circumferentially about the missille&#39;s center line 38. As shown in FIGS. 9A and 9B, the precession coil 64 encircles the housing 61 of the primary mirror 60. A sinusoidal precession coil current, having a period equal to the period of rotation of the housing 61 about the axis of rotation 37, is fed to the precession coil 64 from processor 41 (FIG. 1) via line 86 in a manner to be described. The precession coil current is produced to enable the gimballed scanning and focusing system 18 to maintain track of target (FIG. 1). More particularly, in response to the precession coil current a magnetic field component perpendicular to magnetic field 74 (produced by the housing 61 of the primary mirror 60) is produced by the precession coil 64 which reacts with the rotating magnetic field 74 produced by permanent magnetic housing 61 to produce a torque on the housing 61. In response to such torque the position of the axis of rotation 37, in inertial space, changes about pivot point 27. The magnitude of the rate of change in the angular position of the axis of rotation 37 in inertial space is proportional to the magnitude of the current passed to the precession coil 64 by processor 41 via line 86 and is proportional to the magnitude R T  of the boresight error. The angular direction of such rate of change in angular position of the axis of rotation 37 in inertial space is related to the phase of the boresight error φ and proportional to the phase of the sinusoidal current in the precession coil 64. A precession coil current is generated on line 86 from the quadrature sinusoidal voltages induced in the pair of reference coils 66a and 66b which pair of voltages are algebraically added proportional to the boresight error in the yaw and pitch planes, respectively, in quadrature combining circuitry 100 within processor 41 (to be described hereinafter in detail in connection with FIG. 11). Suffice it to say here, however, that the resultant current produced by the quadrature combining circuit 100 is fed, via line 86, to the precession coil 64. Futher, the angular direction of the change in the axis of rotation 37 in inertial space is related to the phase between the sinusoidal current fed to precession coil 64 (via line 86) and the orientation of the magnetic housing 61 north/south magnetic field. The precession coil 64 current (on line 86) is, as will be discussed in detail in connection with the combining circuit 100 (FIG. 11), derived from the boresight error and the reference coils 66a, 66b voltages induced on lines 66&#39;a, 66&#39;b respectively. The magnitude of the boresight error controls the magnitude of the current fed to the precession coil 64 via line 86. 
     Finally, the gimbal control section system 24 includes a cage coil 68, shown in FIG. 9B, to sense the angular deviation of the axis of rotation 37 from the missile body&#39;s center line 38. Cage coil 68 is fixed to the body of missile 10 and is wrapped circumferentially about the missile body&#39;s center line 38 in a manner similar to precession coil 64 to encircle the permanent magnetic housing 61 of primary mirror 60. The cage coil 68 is disposed laterally along the missile body&#39;s center line 38 adjacent to the precession coil 64. As permanent magnet housing 61 rotates about the missile body&#39;s center line 38 a component of the associated rotating magnetic field produced by such housing 61 induces a sinusoidal voltage in the cage coil 68 with a magnitude related to the rate of change of the magnetic flux linking to the cage coil 68. The magnitude of the induced voltage is proportional to the magnitude of the angular deviation of the axis of rotation 37 from the missile&#39;s center line 38. The magnitude of the cage coil 68 voltage in phase with the induced voltage in the reference coil 66a on line 66&#39;a is proportional to the magnitude of the angular deviation of the axis of rotation 37 from the missile&#39;s yaw axis 43 (and similarly for the pitch axis 45 when using the reference coil 66b). When the gimballed scanning and focusing system 18 is driven to rotate about the axis of rotation 37 by the motor coils 62a, 62b the focusing system 18 acts like a two degree of freedom gyroscopic and unless driven to move in pitch and or/yaw relative to an inertial angle by activation using the precession coil 64, the gyroscopic effect of the spinning housing 61 will maintain the axis of rotation 37 pointed in a particular direction in inertial space regardless of pitch and/or yaw and/or roll motion of the body of the missile 10 in inertial space. While, the focal plane 26 and the detector plane 30 may become skewed because either the body of the missile 10 pitches and/or yaws and/or rolls in space, the precession coil 64 will drive the gimballed scanning and focusing system 18 in response to target angular motion only the angular rates need not be resolved into pitch and/or yaw rate relative to the body of the missile 10; or both for the control of the missile&#39;s trajectory since, as will be described in connection with FIG. 11, they are developed separately by the quadrature combining circuit 100 within processor 41 as pitch and yaw error signals. 
     As noted above, a sinusoidal voltage is induced in the reference coil 66a because the rotation of the permanent magnetic housing 61 produces a phase reference signal which provides an indication of the rotational orientation of the housing 61 relative to the missile&#39;s yaw axis 43. Further, as noted above, a sinusoidal voltage is induced in the cage coil 68 having a magnitude proportional to the angular deviation of the axis of rotation 37 from the missile center line 38, and a phase proportional to the difference between the axis of rotation 37 and yaw axis 43. The phase difference between the sinusoidal voltage developed by cage coil compensator 80 (in a manner to be described hereinafter) and the sinusoidal voltage induced in the reference coil 66a is equal to angular deviation α of the projection 50 (FIG. 3) of the axis of rotation 37 onto the detector plane 30 from the missile body&#39;s yaw axis 43. The time history of the voltage induced in the reference coil 66a after compensation by compensator 80 is shown in FIG. 10A. As noted also, the induced voltage reaches a maximum (positive or negative) amplitude when the north/south axis 74 of housing 61 passes through the missile body&#39;s pitch axis 45. The time history of the voltage induced in the cage coil 68 is shown in FIG. 10B after compensation for an angular deviation α (which is perpendicular to the line 49 of intersection of the detector and focal planes) from the missile body&#39;s yaw axis 43, which is between 0° and 60° (and 180° and 240°). FIG. 10C shows the time history of the voltage induced in the cage coil 68 after compensation as a function of time for an angular deviation α which is between 60° and 120° (and 240° and 300°). Likewise, FIG. 10D shows the time history of the voltage induced in the cage coil 68 as a function of time for an angular deviation α which is between 210° and 180° (30° and 360°). 
     A phase detector 75 (FIG. 1) is fed by the voltages induced in the reference coil 66a (on line 66&#39;a) and the cage coil 68, after passing through a cage coil compensator 80, (to be described), to produce an output signal representative of the angular deviation α (which is perpendicular to the line 49 of intersection of the focal and detector planes). The output signal representative of α is fed to a quantizer 82. Quantizer 82 produces a 2-bit digital word representative of the 6 quantized angular sectors 60 1  -60 6  (FIG. 4A-4C) organized as three pairs and covered by arrays 44 1  and 44 3 . Thus, if α is between 0° and 60°, (or between 180° and 240°) the 2-bit word is (00) 2  ; if α is between 60° and 120° (or between 240° and 300°), the 2-bit word is (01) 2  ; and if α is between  120° and 180° (or between 300° and 360°) the 2-bit word is (11) 2 . The 2-bit word produced by quantizer 82 is fed as the control signal for selector 87. The outputs of detectors 42 1  -42 10  are fed to the selector 87 on line 55 1  -55 10 , as noted above. In response to the 2-bit control word produced by quantizer 82, 5 of the 10 outputs of detectors 42 1  -42 10  are fed to processor 41, such 5 being, as discussed above, those in best focus and coupled to the detectors 42 1  -42 10  in one of the three sets 44 1  -44 3  in, or substantially in, focus by the scanning and focusing system 18. (That is, the set in, or adjacent to, the line 49 of intersection of the focal plane 26 and the skewed detector plane 30). Also fed to the processor 41 is the output voltage induced in the reference coil 66a. Thus, if the 2-bit word is (00) 2  only detectors 42 2 , 42 10 , 42 1 , 42 9 , 42 5  are identified and passed to processor 41. If the 2-bit word is (01) 2  only detectors 42 3 , 42 8 , 42 1 , 42 9 , 42 6  are identified and passed to processor 41. If the 2-bit word is (10) 2  only detectors 42 4 , 42 8 , 42 1 , 42 10 , 42 7  are identified and passed to processor 41. 
     The processor 41 produces a sinusoidal current on line 86 which is fed to the precession coil 64 as will be described in detail hereinafter in connection with FIG. 11. Suffice it to say here however that the magnitude of the current on line 86 is proportional to the desired rate change in inertial space, of the axis of rotation 37. The phase of such current, relative to the sinusoidal reference coils 66a, 66b induced voltages, is proportional to the angular direction of such rate relative to the yaw axis 43 and the pitch axis 45. The phase and magnitude of the sinusoidal output current on line 86, are fed to the precession coil 64 to drive the scanning focusing system 18 so that the boresight error axis 36 is driven towards the central detector 42 1  as it maintains track of the target. 
     More particularly, the five detectors in the one of the three sets 44 1  -44 3  thereof in, or substantially in focus are fed to processor 41 through selector section 40. Also fed to processor 41 are the voltages induced in reference coils 66a, 66b (on lines 66&#39;a, 66&#39;b). Thus assume, as described above in connection with in FIG. 7B, the spot, S, in the focal plane 26 traces the circle shown in FIG. 7B, having a center along axis 51, (such axis 51 being at an angle φ with respect to the missile body yaw axis 43) and translated from the axis of rotation 37 an amount equal to R T . The processor 41, in response to the outputs of the five detectors in focus with the focal plane 26 (and hence in common with the detector plane 30) and identified and fed thereto via selector 87, determines the amount of translation R T  of the center of the circle from axis of rotation 37 and the angle φ to produce a signal representative of R T  and φ. For example, let it be assumed, as discussed above in connection with FIG. 7B, that the set 44 3  of detectors is in focus and that the detectors in such set 3 (and hence in focus) indicate that the circle traces through detector 42 7 . The position of the center 27 of the detector plane 30 (i.e., the center detector 42 1  and the axis of rotation 37) relative to the positions of each of the detectors 42 1  -42 10  are known, a priori. These relative positions (both magnitude R D  and angle Δ (relative to the yaw axis 43)) are stored in a read only memory (ROM), not shown, included in processor 41. Thus, detector 42 7  is at a known distance R D7  from the center detector 42 1  (and the axis of rotation 37) and a known angle Δ 7 , as shown in FIG. 7B (here Δ 7  =300°=-60°). If the spot, S, traces a circular arc β between the time the tilted mirror 58 places the optic axis through yaw axis 43 and the time of detection of such spot by detector 42 7  (i.e., a difference in time Δ T) then, in the general case, the magnitude of the boresight error R T  is: ##EQU1## and the angle φ of such boresight error is: 
     
         φ=tan.sup.-1 {[R.sub.D cos Δ-R cos β]/[R.sub.D sin Δ-R sin β]}                                              eq (2) 
    
     The angle β is determined by a timer (not shown) included in processor 41. The timer is initiated by a signal produced from the reference coil 66a induced voltage and is stopped when there is an indication that one of the five detectors fed to processor 41 by selector 87 (i.e., the signal on one of the lines 56 1  -56 5 ) has detected the circularly travelling spot S. The contents of the counter contains the time Δ T. Since the rotational rate of the secondary mirror 58 about the axis of rotation 37 is controlled to ω as described above, β=ω(ΔT) may be determined by the processor 41. A quadrature combining circuit 100 shown in FIG. 11 is included in processor 41. The voltages induced in reference coils 66a, 66b, are fed via lines 66&#39;a, 66&#39;b, respectively, to a summing amplifier 102 through multipliers 104a, 104b, and resistors R 6 , R 7 , respectively, as shown. Multiplier 104a is also fed by a signal produced within processor 41 by conventional microprocessor (not shown) from eq (1) and (2) equal to R T  sin φ. Likewise, multiplier 104b is also fed by a signal produced by the microprocessor (not shown) from eq (1) and (2) equal to R T  cos φ. The products produced by multiplier 104a, 104b, are summed by resistors R 6 , R 7 , at the (-) input of amplifier 102. The (-) input of amplifier 102 is also coupled to the precession coil 64 through resistor R 8  via lines 84, 85 for boresight error gain control. The (+) input of amplifier 102 is coupled to ground. The amplifier 102 combines the summed voltages into a total, resulting current which is fed to the precession coil 64 via line 86 which causes the scanning and focusing system 18 to track a target simultaneously in both pitch and yaw using a combined control signal. The resulting sinusoidal current produced on line 86 (FIG. 1) has a magnitude proportional to R T  and the desired rate of change in inertial space of the axis of rotation 37, and a phase proportional to the angular direction φ of such rate from the missile body&#39;s yaw axis 43. As noted above, the signal on line 86 is used to drive the scanning and focusing system 18 to track the target and here, preferably, to drive the axis of rotation 37 towards the target and maintain the center of the spot&#39;s path centered on center detector 42 1 . 
     It is noted that in changing the magnitude of the sinusoidal current fed to the precession coil 64 a sinusoidal voltage is induced in the adjacent cage coil 68 (FIG. 9B). This cage coil 68 induced voltage is proportional to the rate of change in the precession coil 64 current (here a sinusoidal voltage in cage coil 68 induced by a sinusoidal current fed to precession coil 64. Further, as noted above, a sinusoidal voltage is also induced in the cage coil 68 proportional to the angular deviation of axis of rotation 37 from the missile&#39;s body center line 38. The cage coil 68 thus has induced in it a desired sinusoidal voltage (the voltage indicating the angular deviations of the axis of rotation 37 and from the missile body&#39;s center line 38) and an undesired sinusoidal voltage (the voltage induced in it in response to a sinusoidal current fed to the adjacent precession coil 64). To compensate for this undesired induced voltage in the cage coil 68, the cage coil compensator 80, as shown in FIG. 1, is provided. The cage coil compensator 80 is a differentiating and subtraction network and includes a differential amplifier 90 and an inverting buffer amplifier 94. The non-inverting (+) input of the differential amplifier 90 is connected to ground. The inverting (-) input of amplifier 90 is coupled to capacitor C, and resistor R 2 . Resistor R 3  completes the circuit and adjusts gain through feedback. The precession coil current from the processor 41 fed via line 86 is returned via line 85 and develops a voltage across resistor R 1 . The developed sinusoidal voltage is differentiated by the capacitor C which inputs to amplifier 90 a current equal to the derivative (i.e., time rate of change) of the developed sinusoidal voltage fed thereto on line 85, as shown in FIG. 1. Thus, current is fed to one end of the precession coil 64 by processor 41 via line 86, and the other end (i.e., line 85) of precession coil 64 is connected to ground through resistor R 1  and to the inverting (-) input of the amplifier 90 through the capacitor C. The output of the cage coil 68 is coupled, through the inverter buffer amplifier 94, and the second resistor R 2 , to the inverting (-) input of amplifier 90, as shown. A third resistor R 3  provides a feedback resistor between the output and the inverting (-) input of the amplifier 90, as shown, to produce an output voltage proportional to the difference between the differentiated voltage and the induced voltage. Thus, resistor R 1  produces a voltage proportional to the current fed to the precession coil 64. The capacitor C produces a current proportional to the time rate of change in the current fed to precession coil 64 without adding any unwanted phase shift over a wide band of frequencies. As noted above, this change in the current fed to precession coil 64 induces an undesired voltage in the adjacent cage coil 68. The undesired portion of the voltage induced in cage coil 68 (that induced by the time rate of change in current fed to the precession coil 64) is subtracted from the total voltage induced in cage coil 68. In particular, a current proportional to the undesired portion of the cage coil 68 voltage is produced at the output of capacitor C and is subtracted from the current in resistor R 2  proportional to the total induced voltage in the cage coil 68 by the inverting buffer amplifier 94 so that the output of amplifier 90 (on line 91) represents the desired voltage induced in cage coil 68 (i.e., the voltage attributed to the position of the permanent magnet 61, FIG. 8B, from missile&#39;s center line 38). That is, the magnitude of the voltage produced by amplifier 90 is equal to the voltage induced in the cage coil 68 because of the magnitude of the angular deviation of the axis of rotation 37 relative to the missile&#39;s center line 38 and also, has a phase angle, relative to the voltage induced in the reference coil 66a, which, when phase detected, provides and angle α. 
     Finally, it should be noted that each one of the detectors 42 1  -42 10  covers a different portion of the field of view of the seeker system 16. The field of view is proportional to the sum of twice the scan circle radius R and the distance between any two opposite detectors, twice R D  in each set 44 1 , 44 2 , 44 3 . 
     Having described a preferred embodiment of the invention, other embodiments incorporating these concepts will now become evident to one of skill in the art. For example, the number of detectors may be different from the 10 detectors described herein. Therefore, it is felt that the invention should not be restricted to its disclosed embodiment but rather, should limited only by the spirit and scope of the appended claims.