Non-linear stability in photogravitational non-planar restricted three body problem with oblate smaller primary |
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Authors: | B Ishwar J P Sharma |
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Institution: | (1) Departamento de Ingenier?a Matem?tica e Inform?tica, Universidad P?blica de Navarra, 31006 Pamplona, Spain |
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Abstract: | We have discussed non-linear stability in photogravitational non-planar restricted three body problem with oblate smaller
primary. By photogravitational we mean that both primaries are radiating. We normalized the Hamiltonian using Lie transform
as in Coppola and Rand (Celest. Mech. 45:103, 1989). We transformed the system into Birkhoff’s normal form. Lie transforms reduce the system to an equivalent simpler system
which is immediately solvable. Applying Arnold’s theorem, we have found non-linear stability criteria. We conclude that L
6 is stable. We plotted graphs for (ω
1,D
2). They are rectangular hyperbola. |
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Keywords: | |
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