Construction of an equivalent system of equations of motion of a dynamically compressed satellite relative to its center of mass

Astronomy and Astrophysics – Astronomy

Scientific paper

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

Scientific paper

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 k-squared(t) amplitude function and a known Jacobi integral makes it possible to reduce the initial system of Euler-Poinsot equations to a 3rd-order system of special form, describing the change of nutation and precession angles. At k-squared(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.

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