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The development of secular part of perturbing function for the orbits with comparable semi-major axis

M. A. Vashkov'yak, S. N. Vashkov'yak, N. V. Emelyanov


Abstract: The special representation for secular part of perturbing function of mutual planet (satellite) attraction is proposed. Unlike from known developments it uses her asymptotic with comparable values of semi-major axis and has united analytical form for external and internal variants of problem. The formula received is a partial sum of power row relative of small eccentricities and sin of orbital inclinations.

Keywords: mutual planet (satellite) attraction, secular perturbations, averaged perturbing function, close orbits.