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.
Analytical methods Critical inclination Rigid body rotation
This is a preview of subscription content, log in to check access.
Breiter S., Melendo B., Bartczak P. and Wytrzyszczak I. (2005). Synchronous motion in the Kinoshita problem. Application to satellites and binary asteroids. Astron. Astrophys. 437: 753–764CrossRefADSGoogle Scholar