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On stability of the collinear libration points under internal third-order resonance

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Abstract

Consideration was given to the photogravitational three-body problem under internal resonance of the third order. The effect of resonance instability of the libration point was shown to be realized in the photogravitational problem of three bodies.

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References

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  5. Tkhai, V.N., Parametric Resonance in the Problem of Stability of the Collinear Libration Points of the Photogravitational Problem of Three Bodies, in Zadachi issledovaniya ustoichivosti i stabilizatsii dvizheniya (Study of Stability and Motion Stabilization), Moscow: Vychisl. Tsentr Ross. Akad. Nauk, 2001, pp. 112–121.

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Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    N. V. Tkhai

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  1. N. V. Tkhai
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Original Russian Text © N.V. Tkhai, 2011, published in Avtomatika i Telemekhanika, 2011, No. 9, pp. 121–126.

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Tkhai, N.V. On stability of the collinear libration points under internal third-order resonance. Autom Remote Control 72, 1906–1910 (2011). https://doi.org/10.1134/S0005117911090128

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  • DOI: https://doi.org/10.1134/S0005117911090128

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