Expansion of the spherical part of the perturbation function

Mathematics – Group Theory

Scientific paper

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Celestial Mechanics, Functions (Mathematics), Orbit Perturbation, Planetary Orbits, Group Theory, Legendre Functions, Matrices (Mathematics)

Scientific paper

An expansion is obtained for the spherical (depending on the orbit
orientation) part of the perturbation function. This expansion is
performed using SO(3) matrix representation elements. Consideration is
given to several functions which are frequently encountered.

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