Precise analytical theory of an artificial satellite motion in the gravity field of a planet

Details Precise analytical theory of an artificial satellite motion in the gravity field of a planet Precise analytical theory of an artificial satellite motion in the gravity field of a planet

Dec 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991esasp.326...43w&link_type=abstract

In ESA, Spacecraft Flight Dynamics p 43-48 (SEE N92-24719 15-12)

Mathematics

2

Artificial Satellites, Earth Gravitation, Gravitation Theory, Mathematical Models, Orbit Perturbation, Orbital Mechanics, Planetary Gravitation, Geopotential, Lumped Parameter Systems, Mars (Planet), Satellite Orbits

Scientific paper

An analytical theory including first and higher order perturbations due to arbitrary degree and order coefficients of gravity field of a planet is presented. The theory is based on a form of geopotential expansion modified by introduction generalized lumped coefficients. Perturbations are calculated in orbital elements as well as in the components of radius vector. Exemplary perturbed orbits are calculated for some Earth artificial satellites using GEM-T2 and RAPP81 Earth's gravity models and for imaginary artificial Mars satellites using a Mars' gravity model.

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