Título inglés |
Orbital stability of stationary satellites. |
Título español |
Estabilidad orbital de satélites estacionarios. |
Autor/es |
Deprit, André ; López Moratalla, Teodoro |
Organización |
Nat. Inst. Stand. Tech., Gaithersburg (Maryland), Estados Unidos;R. Inst. Obs. Armada [MD], San Fernando (Cádiz), España |
Revista |
0214-3577 |
Publicación |
1996, 9 (2): 312-333, 13 Ref. |
Tipo de documento |
articulo |
Idioma |
Español |
Resumen inglés |
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. |
Clasificación UNESCO |
220501 ; 332401 ; 120326 |
Palabras clave español |
Mecánica celeste ; Satélite geoestacionario ; Modelos de simulación ; Algebra de Lie ; Estabilidad ; Función Liapunov |
Código MathReviews |
MR1430781 |
Código Z-Math |
Zbl 0900.70376 |
Acceso al artículo completo |