Colliding probability and methods of avoiding collision of stationary satellites
Abstract
The collisions between stationary satellites, and of a stationary satellite with abandoned stationary satellites, which have the nearly synchronous orbit of relatively larger inclination, have been discussed. The general formula for calculating probability of the threedimensional collision is expressed by the function whose arguments are threedimensional sizes of the satellites, the orbital bounds, the number of the satellites, and time. The numerical calculation shows that the probability is negligibly small in case of comparable size to that of existing satellites, but that the probability is large enough to collide possibly in case of the size as huge as hypothetical gigawatt solar power satellites. The probability has considerable value if the satellites are continued to be abandoned in the stationary orbit over several centuries. The methods of avoiding the collision are discussed in each case where a satellite collides not only in the stationary orbit with stationary satellites and abandoned satellites but also in cases of injection into the stationary orbit.
 Publication:

Tokyo International Astronautical Federation Congress
 Pub Date:
 September 1980
 Bibcode:
 1980toky.iafcV....T
 Keywords:

 Collision Avoidance;
 Orbit Perturbation;
 Probability Theory;
 Space Debris;
 Stationary Orbits;
 Synchronous Satellites;
 Earth Orbits;
 Orbit Calculation;
 Solar Power Satellites;
 Three Body Problem;
 Astrodynamics