An analytical theory for tesseral gravitational harmonics

Details An analytical theory for tesseral gravitational harmonics An analytical theory for tesseral gravitational harmonics

Apr 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000cemda..76..139s&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 76, Issue 3, p. 139-156 (2000).

Astronomy and Astrophysics

Astronomy

1

Tesseral Harmonics, Lie Transformation, Relegation, Tesseral Harmonics, Lie Transformation, Relegation

Scientific paper

An analytical method has been developed for the treatment of tesseral harmonic perturbations. The procedure is an iterative Lie transformation technique which avoids the typical eccentricity expansions as well as the numerical singularities normally associated with resonance conditions. At each iteration, terms of the perturbing potential become multiplied by the ratio of the satellite's orbital period to the earth's rotational period. Following a suitable number of iterations, the potential is deemed to be sufficiently small that it may be ignored, with the tesseral effects captured in the transformation.

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