Physics
Scientific paper
May 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976cemec..13..363m&link_type=abstract
Celestial Mechanics, vol. 13, May 1976, p. 363-381.
Physics
Center Of Gravity, Gravitational Effects, Jacobi Integral, Librational Motion, Satellite Rotation, Circular Orbits, Convergence, Elliptic Functions, Equations Of Motion, Gravitational Fields, Nutation, Precession, Satellite Orbits
Scientific paper
This paper deals with a three-dimensional rotationally and dynamically symmetrical satellite. The center of mass of the satellite moves in a circular orbit. The existence of two first integrals of motion enables one to transform the system of differential equations to a special form facilitating the choice of the zero-approximation solution. The angles of precession and nutation as well as the amplitude function are taken as variables of the motion. The first approximation solution is constructed for the case of spatial libration of the satellite axis of dynamical symmetry about the position of stable equilibrium. The series representing the amplitude function is fast convergent due to the fast convergence of the expansions for elliptic functions.
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