Order of integration of the equations for the elements of an intermediate satellite orbit

Details Order of integration of the equations for the elements of an intermediate satellite orbit Order of integration of the equations for the elements of an intermediate satellite orbit

Jun 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985sva....29..343e&link_type=abstract

(Astronomicheskii Zhurnal, vol. 62, May-June 1985, p. 590-597) Soviet Astronomy (ISSN 0038-5301), vol. 29, May-June 1985, p. 343

Astronomy and Astrophysics

Astronomy

Approximation, Numerical Integration, Orbit Calculation, Orbital Elements, Satellite Orbits, Satellite Perturbation, Geodesy, Geopotential, Gravitational Effects, Long Term Effects, Series Expansion, Zonal Harmonics

Scientific paper

The procedure of integration by the method of successive approximations is considered for equations of the elements of the intermediate orbit of an earth satellite, allowing for the second and third zonal harmonics in the expansion of the earth's gravitational potential, with arbitrary perturbing factors of a gravitational nature. The accuracy of expansions of the coefficients of the equations and the perturbation function required to obtain all the secular and short-period perturbations of third order relative to the earth's flattening and all the long-period perturbations up to second order are determined. Terms of the order of the square of the flattening in expansions of the coefficients of the equation for an orbital element analogous to the semimajor axis, which are required to determine the perturbations enumerated above, are obtained and presented.

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