Application of literal computer programs to the solution of the principal problem in the theory of satellite motion

Astronomy and Astrophysics – Astronomy

Scientific paper

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Computer Programs, Geopotential, Perturbation Theory, Satellite Perturbation, Spacecraft Motion, Zonal Harmonics, Canonical Forms, Equations Of Motion, Hamiltonian Functions, Kepler Laws

Scientific paper

Programs composed from optimal-algebra subroutines are applied to the determination of satellite motion disturbances caused by the second zonal harmonic of the earth's attraction potential (known as the principal problem in satellite theory). The disturbances of second-order Keppler elements are determined, by successive approximations, for the J2 harmonic.

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