Critical inclination in the main problem of a massive satellite

Details Critical inclination in the main problem of a massive satellite Critical inclination in the main problem of a massive satellite

May 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006cemda..95..287b&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 95, Issue 1-4, pp. 287-297

Astronomy and Astrophysics

Astronomy

5

Analytical Methods, Critical Inclination, Rigid Body Rotation

Scientific paper

The classical problem of the critical inclination in artificial satellite theory has been extended to the case when a satellite may have an arbitrary, significant mass and the rotation momentum vector is tilted with respect to the symmetry axis of the planet. If the planet’s potential is restricted to the second zonal harmonic, according to the assumptions of the main problem of the satellite theory, two various phenomena can be observed: a critical inclination that asymptotically tends to the well known negligible mass limit, and a critical tilt that can be attributed to the effect of transforming the gravity field harmonics to a different reference frame. Stability of this particular solution of the two rigid bodies problem is studied analytically using a simple pendulum approximation.

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