Periodic motions of an axisymmetric satellite relative to the center of mass in circular orbit. I

Details Periodic motions of an axisymmetric satellite relative to the center of mass in circular orbit. I Periodic motions of an axisymmetric satellite relative to the center of mass in circular orbit. I

Feb 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978mvsfa..19...95b&link_type=abstract

Moskovskii Universitet, Vestnik, Seriia III - Fizika, Astronomiia, vol. 19, Jan.-Feb. 1978, p. 95-104. In Russian.

Astronomy and Astrophysics

Astronomy

Axisymmetric Bodies, Circular Orbits, Orbital Mechanics, Satellite Rotation, Analytic Functions, Center Of Gravity, Jacobi Integral, Periodic Functions, Poincare Problem, Power Series, Satellite Perturbation

Scientific paper

The Poincare small-parameter method is applied to investigate the existence of periodic solutions to the problem of the rotational motion of an axisymmetric satellite with respect to the center of mass in a circular orbit. Satellite motion is described by canonical osculating Andoyer elements. Analytical conditions for the existence of Schwarzschild and Poincare periodic solutions are obtained and studied qualitatively and numerically.

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