ON THE STABILITY OF STATIONARY SOLUTIONS OF THE DOUBLE-AVERAGED HILLSPROBLEM WITH AN OBLATE CENTRAL PLANET

We study the stability of stationary solutions for the system of secul ar equations that describe the evolution of a satellite orbit under th e combined influence of a distant, disturbing, attracting point and an oblate central planet, In the coordinate system connected with the or bital plane of an external point, we derive analytical and graphical r elations between the equilibrium orbital elements of the satellite and the stability conditions in the linear approximation. The results are compared with those of Kudielka (1997) and with numerical integration of the evolutionary system.