The motion of a satellite in an axi-symmetric gravitational field

Details The motion of a satellite in an axi-symmetric gravitational field The motion of a satellite in an axi-symmetric gravitational field

Dec 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987ap%26ss.139..111z&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 139, no. 1, Dec. 1987, p. 111-128.

Astronomy and Astrophysics

Astrophysics

Gravitational Fields, Orbit Perturbation, Orbital Elements, Satellite Orbits, Earth Orbits, Hansen Lunar Theory

Scientific paper

The equations for the variation of the oscillating elements of a satellite moving in an axisymmetric gravitational field are integrated to yield the complete first-order perturbations for the elements of the orbit. The expressions obtained include the effects produced by the second to eighth spherical harmonics. The orbital elements are presented in the most general form of summations by means of Hansen coefficients. Due to their general forms it is a simple matter to estimate the perturbations of any higher harmonic by simply increasing the index of summation. Finally, this paper gives the respective general expressions for the secular perturbations of the orbital elements. The formulae presented should be useful for the reductions of Earth-satellite observations and geopotential studies based on them.

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