Regularization and linearization of the equations of motion in central force-fields

Details Regularization and linearization of the equations of motion in central force-fields Regularization and linearization of the equations of motion in central force-fields

Sep 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983cemec..31...73c&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 31, Sept. 1983, p. 73-80.

Physics

11

Artificial Satellites, Celestial Mechanics, Equations Of Motion, Gravitational Fields, Orbit Calculation, Field Theory (Physics), Linearization, Polynomials

Scientific paper

Within the framework of linear and regular celestial mechanics, a wide class of central force field problems is considered. The authors take as potential function a polynomial whose variable is the reciprocal of the distance from the origin, and as regularizing function the square root of a certain reciprocal polynomial, related to the potential function. The relations between the coefficients of both functions, in order to arrive to linear equations, are given. In particular, the case of a quintic polynomial is analyzed, and an application is made to artificial earth satellites considering harmoncis J2, J3, J4.

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