Computer Science
Scientific paper
Feb 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981rspta.299..425g&link_type=abstract
Royal Society (London), Philosophical Transactions, Series A, vol. 299, no. 1451, Feb. 11, 1981, p. 425-474.
Computer Science
1
Cylindrical Coordinates, Gravitational Effects, Orbit Perturbation, Orbital Mechanics, Perturbation Theory, Satellite Orbits, Eccentric Orbits, Lunar Gravitational Effects, Orbital Elements, Polar Coordinates, Radiation Effects, Solar Gravitation, Solar Radiation
Scientific paper
First-order perturbations of a low-eccentricity satellite orbit due to the general harmonic coefficient of the earth's gravitational field are derived, and compactly expressed in cylindrical polar coordinates. For the dominant harmonic J2, the perturbations are taken to second order, and it is shown how formulas for the second-order variation of the orbitial elements depend on the definition of the mean elements used for reference. With a particular choice of mean elements, the formulas for perturbations in cylindrical coordinates are again very compact. The general approach also yields first-order perturbations due to lunisolar gravity and eclipse-free solar radiation.
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