Astronomy and Astrophysics – Astronomy
Scientific paper
Apr 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982velen......100a&link_type=abstract
Leningradskii Universitet, Vestnik, Matematika, Mekhanika, Astronomiia, Apr. 1982, p. 100-104. In Russian.
Astronomy and Astrophysics
Astronomy
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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