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Estabilidad orbital de satélites estacionarios.

André Deprit, Teodoro López Moratalla (1996)

Revista Matemática de la Universidad Complutense de Madrid

For a satellite about an oblate planet in rotation about its axis of greatest inertia, conditions are given under which there may appear, in a frame fixed in the planet, two positions of equilibria with characteristic exponents that are purely imaginary. In which case, after appropriate normalization by Lie transformation executed mechanically through a symbolic algebraic processor, the theorem of Arnold about non definite quadratic forms is applied. It is concluded that the equilibria are stable...

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