Estabilidad orbital de satélites estacionarios

  • Teodoro López Moratalla
  • André Deprit

Abstract

. 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 equilib ría with characteristic exponents that are purely imaginary. In which case, after appropriate nonnalization by Lic transformation executed mechanically through a symbolic algebraic processor, the theorem of Amold about non definite quadratie forms is applied. It is concluded that the equilibria are stable in the sense of Lia punov. The conditions for stability are verified in the case of tbe earth. 1991 Mathematics Subject Classiflcation 68Q40, 70-04, 70F15, 701115, 70325 1985 A. C. M. Classiñcation: 1.1.4 Servicio Publicaciones Univ. Complutense. Madrid, 1996. *flnwciado parcialmente por el Ministerio Español de Educación y Ciencia, Proyecto DGICYT # PB93-1236-C02-02. 312 A. Depñt y It López Morataila

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Published
1996-01-01
How to Cite
López Moratalla T. y Deprit A. (1996). Estabilidad orbital de satélites estacionarios. Revista Matemática Complutense, 9(2), 311. https://doi.org/10.5209/rev_REMA.1996.v9.n2.17573
Section
Articles