The development of secular part of perturbing function of mutual attraction of celestial bodies for uniform close orbits
The new development representation for secular part of perturbing function of mutual planet (satellite) attraction is proposed. Unlike from known representations the asymptotic of Gauss hypergeometric functions for arguments close to unit is used. Moreover the development proposed has united analytical form for external and internal variants of problem. The formula received is a partial sum of power row relative of eccentricities and sin of orbital inclinations with accuracy to forth power of these small parameters.