Orbital stability of stationary satellites.

André Deprit; Teodoro López Moratalla

Revista Matemática de la Universidad Complutense de Madrid (1996)

  • Volume: 9, Issue: 2, page 312-333
  • ISSN: 1139-1138

Abstract

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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 in the sense of Liapunov. The conditions for stability are verified in the case of the earth.

How to cite

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Deprit, André, and López Moratalla, Teodoro. "Estabilidad orbital de satélites estacionarios.." Revista Matemática de la Universidad Complutense de Madrid 9.2 (1996): 312-333. <http://eudml.org/doc/44232>.

@article{Deprit1996,
author = {Deprit, André, López Moratalla, Teodoro},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {Mecánica celeste; Satélite geoestacionario; Modelos de simulación; Algebra de Lie; Estabilidad; Función Liapunov; oblate planet; two positions of equilibrium; characteristic exponents; normalization; Lie transformation; symbolic algebraic processor; Arnold theorem about non-definite quadratic forms; Lyapunov stability},
language = {spa},
number = {2},
pages = {312-333},
title = {Estabilidad orbital de satélites estacionarios.},
url = {http://eudml.org/doc/44232},
volume = {9},
year = {1996},
}

TY - JOUR
AU - Deprit, André
AU - López Moratalla, Teodoro
TI - Estabilidad orbital de satélites estacionarios.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1996
VL - 9
IS - 2
SP - 312
EP - 333
LA - spa
KW - Mecánica celeste; Satélite geoestacionario; Modelos de simulación; Algebra de Lie; Estabilidad; Función Liapunov; oblate planet; two positions of equilibrium; characteristic exponents; normalization; Lie transformation; symbolic algebraic processor; Arnold theorem about non-definite quadratic forms; Lyapunov stability
UR - http://eudml.org/doc/44232
ER -

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