Construction of an equivalent system of equations of motion of a dynamically compressed satellite relative to its center of mass
Abstract
The restricted problem of the motion of a dynamically symmetrical compressed satellite relative to its center of mass in a circular orbit in the earth's gravitational field is examined. The use of the ksquared(t) amplitude function and a known Jacobi integral makes it possible to reduce the initial system of EulerPoinsot equations to a 3rdorder system of special form, describing the change of nutation and precession angles. At ksquared(t) = (k sub 0)squared = const, the solution is determined in elliptic functions, which makes possible a simple choice of the reference solution for the construction of a solution using the method of successive approximations.
 Publication:

Leningradskii Universitet Vestnik Matematika Mekhanika Astronomiia
 Pub Date:
 April 1982
 Bibcode:
 1982VeLen......100A
 Keywords:

 Center Of Mass;
 Circular Orbits;
 Dynamic Pressure;
 Equations Of Motion;
 Gravitational Fields;
 Satellite Rotation;
 Compressing;
 Earth (Planet);
 Jacobi Integral;
 Nutation;
 Planetary Gravitation;
 Precession;
 Astrodynamics