Intermediate resonant motion of an axisymmetric satellite about the center of mass

Details Intermediate resonant motion of an axisymmetric satellite about the center of mass Intermediate resonant motion of an axisymmetric satellite about the center of mass

Jan 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979kosis..17...10b&link_type=abstract

Kosmicheskie Issledovaniia, vol. 17, Jan.-Feb. 1979, p. 10-17. In Russian.

Computer Science

Axisymmetric Bodies, Celestial Mechanics, Gravitational Effects, Resonance, Satellite Rotation, Differential Equations, Elliptical Orbits, Equations Of Motion, Hill Method, Integral Equations

Scientific paper

The analysis deals with the resonant rotational motions about the center of mass of an axisymmetric satellite under the action of gravitational moments of the central body, with respect to whose center of inertia the satellite performs an elliptical Keplerian orbit. Delaunay-Hill-averaged equations of motion are derived in osculating Andoyer elements, and a complete system of first integrals is obtained. The inverted integrals are then used to obtain a solution to the intermediate problem in trigonometric form.

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