PPKBZ9script A sign, script S sign script A sign two orbit propagators based on an analytical theory

摘要

In the context of general perturbation theories, we analyze the motion of an artificial satellite around an Earth-like planet perturbed by the first eight zonal harmonic coefficients. By means of two Lie transforms and the Krylov-Bogoliubov-Mitropolsky method we produce a closed-form second-order analytical theory. Except for the critical inclination, this theory is valid for small eccentricities and inclinations. Two orbit propagators are derived from the analytical theory. The first, PPKBZ9cript A sign, is completely analytical whereas the second, PPKBZ9cript S sign cript A sign, is based on numerical methods that compute the transformation of the variables. Prediction accuracy given by the orbit propagator programs is investigated by using data of different types of Earth and Mars orbiters. PPKBZ9 cript A sign can also be used by means of a friendly Web Interface in AstrodyTools Web Site.