Expansion of the third-body disturbing function

Details Expansion of the third-body disturbing function Expansion of the third-body disturbing function

Jan 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980aiaa.meetr....b&link_type=abstract

American Institute of Aeronautics and Astronautics, Aerospace Sciences Meeting, 18th, Pasadena, Calif., Jan. 14-16, 1980, 7 p.

Statistics

Applications

Artificial Satellites, Celestial Mechanics, Disturbing Functions, Legendre Functions, Lunar Gravitational Effects, Solar Gravitation, Computer Programs, Poisson Equation, Spherical Harmonics

Scientific paper

The expansion of the disturbing function remains one of the most important problems in celestial mechanics, both in planetary applications and artificial satellite problems. In addition, the disturbing function for the third body effects (solar and lunar perturbations on artificial satellites) is difficult to expand, even with the availability of fast computers. In the present article, a new form of the third-body disturbing function is developed which is in the category of the Legendre expansions. The purpose of the work is to find an expansion which is especially efficient and easy to carry out to a high order with the use of a package of Poisson series programs for algebraic operations on a computer.

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