Tesseral harmonic perturbations in radial transverse and binormal components

Astronomy and Astrophysics – Astronomy

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Astrodynamics, Orbit Perturbation, Satellite Orbits, Tesseral Harmonics, Bessel Functions, Geopotential, Kepler Laws

Scientific paper

The formulas for the perturbations in radial, transverse, and binormal components of earth artificial-satellite motion have been derived. Perturbations due to the tesseral part of the geopotential are considered. The geopotential expressed in terms of the orbital elements has the form proposed by Wnuk (1988). The formulas for the perturbations have been obtained using the Hori (1966) method. They can be effectively applied in calculation of the perturbations in the components including the coefficients of the high order and degree tesseral harmonics. The derived formulas reveal no singularities at zero eccentricity.

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