DEVELOPMENT OF ANALYTICAL THEORY OF MOTION FOR SATELLITES WITH LARGE ECCENTRICITIES

A new method for computation of perturbations in motion of satellites with large eccentricities is described. On the basis of this method th e expansion of satellite disturbing function is obtained in the form o f fastly iii converging trigonometric series. Possibilities to integra te analytically the Lagrange perturbing equations with such an expansi on of disturbing function in the linear approximation are shown. It al lows us to compute the perturbations of the first order in the satelli te motion both from oblateness of the primary body and from external b odies. (C) 1996 American Astronomical Society.