Abstract:
A gravity acceleration station for producing gravity acceleration and creating conditions for living under a permanent effect of gravity acceleration more than 1 g for prolonged periods of time. The station comprises a base and a hollow torus, rotating around a central vertical axis. A support of the station and motors for rotation of the station are located peripherally, along with the perimeter of the torus. That feature allows variable size of the station with diameter more than 100 meters, larger area for location of objects, and gradual increase of gravity acceleration from the center of the station along the radius. Due to a mechanism for altering the angle of deviation of the premises of the station, the value of the net acceleration can be changed according to the needs while keeping direction perpendicular to the floor of the premises. The station can be located on the ground or underground.

Description:
CROSS-REFERENCE TO RELATED APPLICATIONS 
     This application claims the benefit of provisional patent application Ser. No. 61/651,549, filed 2012 May 25 by the present inventor. 
    
    
     STATEMENT REGARDING FEDERALLY SPONSORED REASEARCH OR DEVELOPMENT 
     Not applicable 
     REFERENCE TO SEQUENCE LISTING, A TABLE OR A COMPUTER PROGRAM LISTING COMPACT DISK APPENDIX 
     Not applicable 
     BACKGROUND OF THE INVENTION 
     
         
         
           
             It is known that a principle of addition of two forces, gravity and centripetal force, produce a permanent acceleration simulating the effect of high gravity more than 1 g and the principle has found application in many engineering solutions, such as turning the railways, race tracks and slides. Also, it can be demonstrated by an example of children&#39;s chain carousel on  FIG. 1 , where a child experiences an effect of two forces, the force of gravity g, and the centrifugal force of a n . The resultant force f deviates from the vertical g and creates a short-term acceleration, acting on the extension of the carousel course of work. 
             We know that the effect of weightlessness on the International Space Stations (ISS) is formed by the addition of two forces: the force of gravity 1 g, (approximately 9.81 m/s 2  directed toward the center of the earth), and the centripetal acceleration equal to the force of gravity but with an opposite direction—9.81 m/s 2 . The addition of these two force vectors approximately is equal to 0 m/s 2 , and that is, in other words, the state of weightlessness. 
             In the past the station was to rotate on its central axis to produce artificial gravity. The majority of early space station concepts created artificial gravity one way or another in order to simulate more natural or familiar environment for the health of astronauts, for example a centrifuge for training purposes of pilots and astronauts. These devices can create acceleration more than 1 g, but for a short time. 
             Nowadays, on the International Space Stations (ISS) many scientific experiments are conducted in conditions of weightlessness (no gravity), investigating the effect of weightlessness on plants, different materials and people. 
           
         
       
    
     The problems with experiments conducted in conditions of weightlessness or high gravity force are that:
         Long-term exposure to micro-gravity could generate long-term health problems for astronauts who do not utilize their muscles. Their bones lose calcium for the same reason. Although there are exercise equipment on space shuttles and on the International Space Stations after returning from micro-gravity environment astronauts find their muscles weak.   The fact that humans have to withstand gravity acceleration creates problems. According to that, the pilots and astronauts are trained from time to time in centrifuges to increase the resistance to gravity acceleration. But they are tested for a short time, not enough to run the mechanisms of adaptation of the human body.       

     Accordingly several advantages of one or more aspects are as follows:
         My station simulates artificial gravity more than 1 g and creates environment for people to live and work under gravity more than 1 g for prolonged periods of time. In this way complex adaptation mechanisms of human body can run and physical strength can increase.   My station can be used for scientific research purposes, for example for studding the effect of permanent gravity acceleration more than 1 g on living organisms—people, plants, animals, insects, and protozoa. Any scientific organization will be possible to conduct new research in a great number of areas: physiology, genetics, biology, engineering, alloys, and many others and to produce results on modifications of the plants and animals in a high gravity environment.   Medical organizations will be able to work on improvement of strength of the cardiovascular system, bones and other human systems. An environment of 1.1-1.5 g acceleration can provide restorative effect on the human body.   Different businesses can use environment with gravity acceleration more than 1 g to increase physical capacity for their employees.   My station may be of interest to NASA. It can be located on the ground or underground. At the same time the station can simulate conditions of life on planets with high gravity more than 1 g and can be used to train and prepare astronauts, military and athletes. For example, an athlete who lives and does exercise for several months under the effect of gravity more than 1 g can show significantly better results than an athlete trained in earth conditions. After all, gravity will affect the athletes even at night when they sleep. As an addition, it will not be dope but training conditions. Pilots, astronauts or soldiers trained under the effect of gravity more than 1 g will have greater physical strength and they will be able to withstand high gravity acceleration during flight operations.   My station for artificial gravity environment allows the tester to be under the effect of permanent acceleration more than 1 g indefinitely long time—days, weeks, months and longer.   The station support and the motors for driving the revolution of the torus of the station are located peripherally, along a perimeter of the torus. That feature allows variable size of the station with diameter more than 100 meters, location of objects in a large area, and gradual increase of gravity acceleration from the center of the station along the radius. This is a reason for using the station for many different tasks. On the contrary, gravitational facility in U.S. Pat. No. 3,209,468 has a central support and drive, so the size of device is limited to 20-50 m in diameter, which results in limited magnitude of gravity acceleration. These limitations create a problem for using the patent for training of athletes, military, etc.   In my station the value of the net acceleration can be changed according to the needs because the construction of the station provides a mechanism for altering the angle of deviation of premises of the station according to the changes of the gravity acceleration. The patent U.S. Pat. No. 3,209,468 facility has a fixed angle of deviation. As a result one unit of the device is suitable only for a particular value of gravity acceleration. If a different value of gravity acceleration is necessary, the new unit of the device must be built up.   In U.S. Pat. No. 3,209,468 an access chair can deliver men and animals. The access chair has a fixed angle of deviation and limited capacity for delivery of men and animals. In my station a lift cabin delivers cargo and personnel and the angle of deviation of the elevator cabin is adjustable by a computer in accordance with the distance from the central axis. This characteristic greatly expands the range of application of my station.   The U.S. Pat. No. 3,209,468 does not provide compensation of Coriolis Effect. There is only a limitation of the Coriolis Effect value by specific limitations in the size of the facility. In my station, particular floor structure brings to the compensation of Coriolis Effect. As a result my station can be of different size, providing gradual distribution (change) of gravity acceleration from the axis along to the radius and having direction perpendicular to the floor.   The environment of my station allows using adaptive ability of the human body completely. After all, gravity more than 1 g has an effect on the tester at all times, including during the sleep or during the rest. As a result of prolonged exposure of high g acceleration, the skeletal structure, the cardiovascular system, muscles and ligaments can be strengthened and endurance of muscles can increase.   In the U.S. Pat. No. 3,209,468 there can be only one torus in the facility. On the contrary, my station may have multiple tori, as well as multiple floors of tori so that the operational area of the station may increase. In addition, with the same speed of rotation of the station, the gravity acceleration will be different, subject to the radius of each torus. This structure provides opportunity of changing the level of acceleration, higher or lower, by moving from torus to torus with different radii while the angular velocity of rotation of the station is constant. As a result, within one station different levels of acceleration can be explored at the same angular velocity of rotation of the station.       

     BRIEF SUMMERY OF THE INVENTION 
     In accordance with one embodiment, a gravity acceleration station for creating an environment of gravity acceleration more than 1 g comprises a base and a hollow torus, rotating around a central vertical axis. The station has a peripheral support, along with the perimeter of the torus. Rooms of sufficient size for different purposes not limited only to living, working, training and performing scientific research are located in a closed compartment of the torus. Each room has fastening and rotating mechanism for adjustment of the room position according to the speed of rotation so that the resultant gravity acceleration has direction perpendicular to the floor of the rooms. Lift cabins, movable on a trolley within lift corridors, deliver cargo and personnel from an entrance located on the base of the station and adjacent to the central axis of the station. The station is located on the ground or underground. A computer regulates an angle of deviation of the rooms and the lift cabins according to the speed of rotation of the station and desired gravity acceleration. Motors for driving the revolution of the torus are alternatively mounted on the torus walls or located on the base, along the torus perimeter. 
     In using gravity acceleration station, individuals who will experience an effect of gravity acceleration more than 1 g enter the station through an entrance adjacent to a central axis and arrive in a lift cabin. The lift cabin proceeds to one of the rooms by moving on a trolley within one of radially disposed lift corridors extended between a vertical axis and a torus. The lift cabin has an angle of deviation according to the distance between central axis and the lift cabin so as to be able to keep desired magnitude of the gravity acceleration while rotating the gravity acceleration station at a constant speed. The individuals enter the rooms. Each room has an angle of deviation according to the distance between the room and the central axis, so as to be able to keep desired magnitude of gravity acceleration, being perpendicular to the floor of the rooms, while rotating the gravity acceleration station at a constant speed. The individuals use the rooms for different purposes not limited to living, working, training, and researching and for recreational activities for prolonged periods of time. The station provides premises for replacement of worn motors by new ones without preventing the rotation of the station. 
     A gravity acceleration station may be constructed, assembled and operated using more than one torus. The station can provide an opportunity of exploring different level of gravity acceleration, for prolonged periods of time in environments inhabitable by living occupants wishing to transfer from an environment of weaker gravity to an environment of stronger gravity or from an environment of stronger gravity to an environment of weaker gravity by moving from one of the torus to another having different radius, while the angular velocity of rotation of the station has a constant value. 
     DRAWINGS—REFERENCE NUMERALS 
     
         
           12 —entrance 
           14 —vertical axis 
           16 —lift cabin 
           18 —lift corridors 
           20 —circle of torus 
           22 —tambour connecting rooms 
           24 —fastening and rotating mechanism 
           26 —rooms for living and working 
           28 —axis for rotation of the rooms (along with torus circle) 
           30 —torus 
           32 —motor for rotation of the station 
           33 —support of the station 
           34 —premises for motor repairing 
           36 —base of the station 
           44 —trolley for drive and rotation of the lift cabin 
           52 —floor boards 
       
    
    
    
     
       BRIEF DESCRIPTION OF THE SEVERAL VIEWS OF THE DRAWING 
       I have included twelve drawings: 
         FIG. 1  is an example of children&#39;s chain carousel, where each child experiences an effect of two forces, the force of gravity g, and the centrifugal force a n . The resultant force f deviates from the vertical and creates a short-term acceleration, acting on the extension of the carousel course of work. 
         FIG. 2  is a drawing of four parameters: 
       Force of gravity with acceleration g, centrifugal force with acceleration a n  summation vector of these two forces forms the acceleration f and angle of deviation γ from vertical g. 
         FIG. 3A  is a top view of the station. 
         FIG. 3B  is a side view of the station. 
         FIG. 4 ,  FIG. 5  and  FIG. 6  show positions of the rooms depending on the parameters of rotation of the station and resulting net acceleration respectively around 1 g, 2 g and 3 g. 
         FIG. 7  contains  FIG. 7A ,  FIG. 7B ,  FIG. 7C , and  FIG. 7D . They are schematic views of cargo delivery to the rooms of the station. 
         FIG. 8  is a top view of a fragment of the station. It illustrates how the elevator cab travels through an elevator corridor towards the rooms of the station. 
         FIG. 9  and  FIG. 10  show the mechanism of formation of Coriolis force. 
         FIG. 9  is a top view of a room of the station. It illustrates different parts of the room located at different distance from the axis of rotation of the station. 
         FIG. 10  shows deflection of moving points staying at a different distance from the axis of rotation. 
         FIG. 11  is a side view of the rooms. It illustrates compensation of Coriolis Effect in the rooms of the station. 
         FIG. 12A  is a top view of an embodiment of the gravity acceleration station comprising 9 tori with different radii of rotation.  FIG. 12B  is a side view of the same station. 
     
    
    
     DETAILED DESCRIPTION OF THE INVENTION 
     One embodiment of the gravity acceleration station is illustrated in  FIG. 3 . The gravity acceleration station with a torus  30  rotates around a vertical axis of rotation  14 . Entrance  12  is in the central part of the station and matches with the location of the axes  14  on the base of the station  36 . The central part of the station is connected with the torus by lift corridors  18 , resembling radially disposed spokes. Through the corridors  18 , lift cabins  16  deliver cargo and personnel to rooms  26  located within the torus  30 . Rooms  26  are attached to each other by tambours  22 . Each of the rooms  26  can rotate around an axis  28  that corresponds to a circle  20  with radius R of torus  30 . The revolving of each room is accomplished by fastening and rotation mechanism  24  that controls the position of each room  26  within the torus  30 . 
       FIG. 7  illustrates the process of providing personnel and material supplies for the station. Lift cabin  16 , delivers cargo or personnel by lowering into the main entrance  12 . After loading the cargo or personnel, lift cabin  16  starts rotating around vertical axis  14  by a trolley  44  to synchronize its rotation with the rotation of the station, and then the lift cabin  16  moves forward into lift corridor  18  toward rooms  26  within torus  30  as shown in  FIG. 8 . 
     Rooms  26  of the station can be of sufficient size for use in various capacities: living rooms, laboratories, warehouses, rooms for exercise, recreation and other premises that can bring to comfortable life of the people inside. 
     Motors  32  for rotation of the station can be located in any convenient place, for example on the base of the station or on the walls of the station.  FIG. 3  shows motors  32 , fixed on the base  36  of the station. Due to a permanent rotation of the station, extra motors are necessary to replace worn out motors. The worn out motors can be repaired in premises  34  while other motors continue to work. 
     Structurally, the station can have different types of support not limited to rails, wheels, and electromagnetic cushion. 
     To reduce air resistance and power consumption, the station can be placed underground and the air of a cavity where the station rotates can be pumped out. 
     To reduce vibration and frictions it is necessary to ensure that a center of gravity matches with axis of rotation  14  of the station. This can be accomplished by a ballast hydraulic system. 
     Operation 
       FIG. 3  shows an embodiment of a station with diameter of torus D=200 m (radius R=100 m), rotating at a constant speed. For example, when the speed of rotation is 4 revolutions per minute, two major forces will act on each body within the torus, the force of gravity with acceleration g=9.81 m/s 2 , and the centrifugal force with acceleration a n =17, 36 m/s 2 . The summation vector of those two forces forms the net acceleration f=19.94 m/s 2  or about 2, 03 g. The angle of deviation from vertical g is γ=60.56°. The calculations of the parameters shown in  FIG. 2  are described below: 
     For a torus with radius R=100 m circumference C can be calculated by the formula
 
 C= 2π R  
 
The result is: C=2×3.1415×100=628.3 m
 
When the linear velocity is ν=41.67 m/s (150 km/h) and the radius is R=100 m, the angular velocity ω is equal to 0.4166 rad/s.
 
     The calculations of the centripetal acceleration a n  can be completed by the formula: 
               α   n     =       v   2     R           
where ν is the linear velocity, and R—the radius of curvature of the trajectory at this point.
 
     Since ν=ωR, when substitute for ν the result will be
 
 a   n =ω 2   R,  
 
where ω is (instantaneous) angular velocity of the movement relative to the center of curvature of the trajectory and R is the radius of curvature of the trajectory at this point.
 
When substitute with values for V and R, the centripetal acceleration is equal to:
 
 a   n =41.67 2 /100=17.36 m/s 2  
 
     Addition of vectors positioned at right angles can be determined by the Pythagorean Theorem:
 
 f =√( a   n   2 +g 2 )
 
When substitute values for a n  and g the result is:
 
 f =√(17.36 2 +9.81 2 )=√(301.37+96.24)=19, 94 m/s 2 , or in other words, 19, 94/9, 81=2,03 g (1 g=9.81 m/s 2 )
 
γ—the angle of deviation from the vertical g. This angle can be determined by the theorem of sinus:
 
γ=arcsin( a   n   /f )=arcsin(17.36/19.94)=arcsin(0.87)=1.056 radians, or about 60.56°
 
     Each of rooms  26  can rotate around an axis  28  that corresponds to the circle  20  with radius R of torus  30 . The rotation is possible by fastening and rotating mechanism  24  that controls the position of each of rooms  26  within the torus  30 . 
     Calculations of the angle of rotation γ of each of rooms  26  and consistency of rotation are controlled by a computer. Due to that features, each of rooms  26  in the embodiment of  FIG. 3 , where the number of rooms is 32, can turn at the angle γ, (in this embodiment at 60.56° shown in the calculations above) so that the summation vector f is perpendicular to the floor of each of rooms  26 . 
       FIG. 3B  shows the summation vector f with an arrow. As a result of calculations above, in each of rooms  26 , the acceleration will be equal to 2.03 g. Thus, for a living object located in each of rooms  26 , a state of high gravity of about 2 g will be simulated. 
       FIG. 4  illustrates a station of a static position, there is no centripetal force and each of rooms  26  is not deflected so that the body is only under the effect of force of gravity. 
       FIG. 5  illustrates a station in rotation motion with a radius R=100 m and the linear velocity of rotation is 150 km/h. Calculations of the parameters are below:
 
Linear velocity ν=41.67 m/s
 
Centripetal acceleration  a   n =41.67 2 /100=17.36 m/s 2  
 
Net acceleration ν f =√(17.36 2 +9.81 2 )=19.94 m/s 2 , or in other words, 19.94/9.81=2.03 g
 
The angle of deviation γ from the vertical g can be determined by the law of sinus:
 
γ=arcsin( a   n   /c )=arcsin(17.36/19.94)=arcsin(0.87)=1.056 radians, or about 60.56°
 
       FIG. 6  illustrates a station in rotation motion with a radius R=100 m and a linear velocity of rotation ν=190 km/h. The calculations of parameters are below:
 
Linear velocity ν=52.78 m/c 2  
 
Centripetal acceleration  a   n =52.78 2 /100=27.85 m/s 2  
 
Net acceleration  f =√(27.85 2 +9.81 2 )=29.53 m/s 2 , or 29.53/9.81=3.01 g
 
The angle of deviation γ from the vertical g can be determined by the law of sinus:
 
γ=arcsin( a   n   /c )=arcsin(27.85/29.53)=arcsin(0.943)=1.056 radians, or about 70.62°
 
       FIG. 7  illustrates the process of delivery of personnel and material supplies for the station. Lift cabin  16  accept cargo or personnel at the main entrance  12  located in the central part of the base of the station  36 . By a trolley  44 , lift cabin  16  starts rotating motion around vertical axis  14  to synchronize its rotation with rotation of the station, then the lift cabin  16  moves forward into the elevator corridor  18  toward rooms  26  within torus  30  as shown in  FIG. 8 . 
       FIG. 7  shows schematically how the lift cabin  16  delivers cargo to the station by the entrance  12  to the level of the rooms  26 . Due to the fact that with each meter of advancement of the lift cabin  16  in the direction of rooms  26 , the centripetal acceleration a n  increases, the computer of the station can adjust the deviation of lift cabin  16  from the vertical in accordance with the above indicated calculations. In fact, people in the lift cabin  16  will not feel the deviation. It would seem to them that the force of gravity increases. Thus, replacement of staff and everything necessary for regular life can be delivered without preventing the rotation of the station. 
     In using a gravity acceleration station, individuals who will experience an effect of gravity acceleration more than 1 g enter the station through the entrance  12  adjacent to the central vertical axis  14  and arrive in the lift cabin  16 . The lift cabin  16  proceeds to one of the rooms  26  by moving on a trolley  44  within one of radially disposed lift corridors  18  extended between a vertical axis  14  and the torus  30 . The lift cabin  16  has an angle of deviation according to the distance between central vertical axis  14  and the lift cabin  16  so as to be able to keep desired magnitude of the gravity acceleration while rotating the gravity acceleration station at a constant speed. The individuals enter one of the rooms  26 . Each room has an angle of deviation from the vertical vector of the force of gravity g, depending on the distance between room  16  and the central vertical axis  14 , so as to be able to keep desired magnitude of gravity acceleration and the gravity acceleration being perpendicular to the floor of each of rooms  26 , while the gravity acceleration station rotates at a constant speed. As a result individuals experience a net acceleration as a summation vector of a force of gravity g and a centripetal force a n , so that the net gravity acceleration f being perpendicular to the floor of each of the rooms  26 . The individuals use the rooms  26  for different purposes and not limited to living, working, training, and researching and for recreational activities for prolonged periods of time. The station provides premises  34  for replacement and repairing of motors  32  without preventing the rotation of the station. 
     The Coriolis Effect on objects inside the station: 
     In physics, the Coriolis Effect is a deflection of moving objects when they are viewed in a rotating reference frame. 
     In any non-inertia rotation system the bodies experience the Coriolis Effect.  FIG. 9 ,  FIG. 10  and  FIG. 11  show the mechanism of formation of Coriolis forces, their impact on the facilities and a possible option for compensation of the arising Coriolis forces. 
       FIG. 9  in the top of the sketch shows that while the room  26  is tilted, the different parts of the room are located at different distance from the axis of rotation  14  of the station. It means that the points at different distance from the rotation axis have different linear velocity. 
     If the radius of torus  30  of the station is 100 meters, the circumference is C=628.3 m and the station rotates at speed of 150 km/h or 41.67 m/sec. 
     To determine the difference between the radii of the ceiling and the floor of the room it is necessary to multiply the height of the rooms 3 m, by the sinus of the angle of deviation γ from the vertical g, γ=60.56° The result is a 2.60 meter. Accordingly, the radius of rotation of a point on the ceiling R 1  is 98.7 m and the radius of rotation of a point on the floor R 2  is 101.3 meters. 
     For the floor: 
     R 2 =101.3, circumference C 2 =2×π×R=636.53 m, it follows that the linear velocity of a point on the floor is:
 
ν 2 =41.67×636.53/628.3=42.22m/s
 
     For the ceiling: 
     R 1 =98.7, circumference C 1 =2×π×R=620.07 m, it follows that the linear velocity of a point on the ceiling is:
 
ν 1 =41.67×620.07/628.3=41.12 m/s
 
       FIG. 10  shows that the position of point A 1  on the ceiling will move into position A 2 , with linear velocity ν 1 =41.12 m/sec for time t. For the same time t, the position of point B 1 , located on the floor below the point on the ceiling, will move into position B 2  with linear velocity ν 2 =42.22 m/s. 
     If we let the body to fall free from the position of A 1 , it will move toward the floor with acceleration f approximately equal to 19.94 m/s 2  according to the above calculations, and linear velocity ν 1 =41.12 m/s according to the Newton&#39;s First Law. As a result, the body, for the time of t will move to position B′ and falls behind from the point on the floor, which during this time will be in the position of B 2 . The figure shows that the displacement b is equal to the distance between points B′ and B 2 . 
     To determine the displacement, first it is necessary to determine time t=√(2×h/g)√(2×3/19.94)=0.55 s (g=19.94 m/s 2 ).
 
Displacement  b =(ν 2 −ν 1 )× t =(42.22−41.12)×0,55=0.605 m
 
       FIG. 11  shows the effect of displacement formed in the non-inertia system. This displacement can be compensated by transverse, 60 cm wide boards  52  of the floor of each of rooms  26  with a slope of each board 11.63°. The slope is calculated by the formula γ 1 =arcsin (CB/AB)=arcsin (0.605/3.00)=arcsin (0.202)=0.203 radians, or 11.63° The result is a small step with height of 11.76 cm. By increasing the width of the boards the slope of the stairs increases. 
     Alternative Embodiments 
     
         
         
           
             Diameter D of torus and velocity of rotation may vary depending on the desired size of living space and desired parameters of artificial gravity acceleration. 
             Alternatively a single gravity acceleration station can accommodate more than one torus with different radii.  FIG. 12  illustrates a station, comprising nine tori with different radii of rotation: R-20 m, R-30 m, R-40 m, R-50 m, R-60 m, R-70 m, R-80 m, R-90 m, R-100 m.
 
The linear velocity at the different radii will change as follows: the greater the radius, the greater the linear velocity of each of the torus. Angular velocity is the same for any radius.
 
           
         
       
    
     I use the calculations above for the single torus  30  with radius of 100 m, the linear velocity of 150 km/h, where the acceleration is 2.03 g and apply them for the outer torus of the nine tori station. The parameters of internal tori can be calculated according to the table below: 
                                                                                                                               8                                       Angle of           1                           deviation γ   9       Radius   2       4               of the net   Net       of   Circumference   3   Linear   5   6   7   acceleration   acceleration       torus   C of    Angular   velocity   Linear   Centripetal   Net   f from the   f in g       R in   torus in   velocity   ν in   velocity   acceleration   acceleration   vertical g in   (g =       meters   meters    ω rad/s   km/h   ν in m/s   a n  in m/s 2     f in m/s 2     degrees °   9.81 m/s 2 )                                 20   125.66   0.4166    30    8.33    3.47   10.41   19.51   1.06        30   188.49   0.4166    45   12.50    5.21   11.11   27.99   1.13        40   251.32   0.4166    60   16.67    6.94   12.02   35.32   1.22        50   314.15   0.4166    75   20.83    8.68   13.10   41.53   1.33        60   376.98   0.4166    90   25.00   10.42   14.31   46.75   1.46        70   439.81   0.4166   105   29.17   12.15   15.62   51.12   1.59        80   502.64   0.4166   120   33.33   13.89   17.00   54.79   1.73        90   565.47   0.4166   135   37.50   15.63   18.45   57.90   1.88       100   628.30   0.4166   150   41.67   17.36   19.94   60.56   2.03                    
Calculations of parameters:
 
Column 1
 
Radius of different tori−R
 
Column 2
 
Circumference defined by the formula: C=2πR
 
Column 3
 
The angular velocity for all levels is the same.
 
Column 4
 
The linear velocity was determined by the ratio: ν 100 ×C 90 /C 100 :
 
Example: ν 90 =150×565.47/628.3=135 km/h
 
Column 5
 
Conversion of the linear velocity from km/h in m/s.
 
Example: ν 90 =135×1000/3600=37.50 m/s
 
Column 6
 
Calculation of the centripetal acceleration using the formula:
 
               α   n     =       v   2     R           
Where ν is the linear velocity, and R—the radius of curvature of the trajectory at this point, or a n =ω 2 R,
 
where a n  is the centripetal acceleration, ν is the (instantaneous) linear velocity along a trajectory,
 
ω is the (instantaneous angular velocity of movement relative to the center of curvature of the trajectory,
 
R—radius of curvature of the trajectory at this point. There is a link between the first and second equation since ν=ωR. Example of calculations for a n , when the radius of torus is 90 m:
 
 a   n =ν 2   /R= 37.5 2 /90=15.63  M/S   2  
 
Column 7
 
To calculate the net acceleration f in the torus it is necessary to consider the impact of two major forces of acceleration the acceleration due to gravity 9.81 m/s 2 , and the centripetal acceleration a n . The addition of the vectors of acceleration positioned at right angle can be determined by the
 
Pythagorean theorem: f=√(a n   2 +g 2 ).
 
Example of calculations: f 80 =√(13.89 2 +9.81 2 )=17.00 m/s 2 .
 
The effect of net acceleration f will vary as the magnitude of the centripetal acceleration a n  changes depending on the radius of the torus.
 
Column 8
 
γ—angle of deviation of the net acceleration f from the vertical g can be determined for each torus. By, tilting rooms  26 , the resultant force f stays perpendicular to the floor of the room. As a result, conditions simulating an effect of high gravity more than 1 g can be created inside of the rooms of the station. The angle γ can be determined by the law of sinus γ=aresin (a n /f). Example of calculation for a torus with radius of 80 m:
 
γ 80 =arcsin( a   n80   /f   80 )=arcsin(13.89/17.00)=0.956 radians, or about 54.77°
 
Column 9
 
     To transform the net acceleration from a unit of m/s 2  into a unit of g, it is necessary the value in column 7 to be divided by the value of 1 g=9.81. 
     The displacement b, formed by the Coriolis effect at each torus of the station, is defined in the table below: 
     
       
         
               
               
               
               
             
               
               
               
               
             
           
               
                   
                   
               
               
                   
                 Radius of torus  
                 Displacement, formed by 
                 Slope of the boards  
               
               
                   
                 in meters 
                 Coriolis effect in meters 
                 in grades  0   
               
               
                   
                 1 
                 2 
                 3 
               
               
                   
                   
               
             
             
               
                   
               
             
          
           
               
                   
                  20 
                 0.32 
                 6.03 
               
               
                   
                  30 
                 0.43 
                 8.17 
               
               
                   
                  40 
                 0.51 
                 9.65 
               
               
                   
                  50 
                 0.56 
                 10.58 
               
               
                   
                  60 
                 0.59 
                 11.11 
               
               
                   
                  70 
                 0.60 
                 11.36 
               
               
                   
                  80 
                 0.61 
                 11.43 
               
               
                   
                  90 
                 0.6 
                 11.38 
               
               
                   
                 100 
                 0.6 
                 11.25 
               
               
                   
                   
               
               
                   
                 Calculations of displacement b and the slope of boards are identical with my calculations above in the Coriolis Effect on objects inside the station. 
               
             
          
         
       
     
       FIG. 12B  shows the deviation of each of rooms  26  from vertical g at angle γ as a function of the radius at which they are located. 
     The result is that the larger the radius R of the torus, the greater the centripetal acceleration a n , the net acceleration f, and the angle of deviation γ. Of course, there will be difference in the gravity acceleration of interior and exterior walls of the rooms, but the difference is small, around 2-3%. The difference decreases when the radius increases. That embodiment allows more efficient use of the space of the station for step by step adaptation of the staff, depending on the strength of the body to move to the next level of gravity acceleration. 
     Alternatively the station can include two or more floors. It depends solely on the capacity of the main entrance for the cargo and personnel. 
     In addition, the diameter of the torus and the velocity of rotation may vary depending on the desired size of living space and desired parameters of artificial gravity acceleration. 
     In using gravity acceleration station that is constructed, assembled and operated having more than one torus, individuals are provided with an opportunity of exploring different levels of gravity acceleration. The users enter the station through an entrance  12  adjacent to a central vertical axis  14  and arrive into a lift cabin  16 . The lift cabin  16  proceeds to one of tori  30  having environment of desired gravity acceleration f. The lift cabin  16  moves by a trolley  44  within one of radially disposed lift corridors  18  extended between a vertical axis  14  and the torus  30 . The angle of deviation of each of lift cabins  16  is in accordance with the distance between the central axis and each of the lift cabins  16  so that the net gravity acceleration f being perpendicular to the floor of each of the lift cabin  16  while having a constant speed of rotation of the gravity acceleration station. 
     The user proceeds to one of rooms  26  located in one of tori  30 , having environment of desired gravity acceleration. The angle of deviation of each of rooms  26  is in accordance with the distance between the central vertical axis  14  and the respective torus  30  where the rooms are located, so as to be able to keep the desired magnitude of the gravity acceleration while rotating the gravity acceleration station at a constant speed. As a result individuals experience a net acceleration f as a summation vector of the force of gravity g and the centripetal force a n  being perpendicular to the floor of each of the rooms  26  by turning each room at an angle of deviation from the vertical vector of the force of gravity g. The individuals use the rooms  26  for different purposes and not limited to living, working, training, researching, and for recreational activities for prolonged periods of time. They can stay in the gravity acceleration station, exploring different level of gravity acceleration. Individuals wishing to transfer from an environment of weaker gravity to an environment of stronger gravity or from an environment of stronger gravity to an environment of weaker gravity can achieve it by moving from one torus to another, each having different radius, while the angular velocity of rotation of the station has a constant value. 
     Although the description above contains many specificities, these should not be construed as limiting the scope of the embodiments but as merely providing illustrations of some several embodiments. Thus the scope of the embodiments should be determined by the appended claims and their legal equivalents, rather than by the examples given.