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Stability of the Planetary Triangular Lagrangian Points

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Part of the book series: Astrophysics and Space Science Library ((ASSL,volume 140))

Abstract

We discuss the results of a numerical study on the stability of the triangular Lagrangian points in the Solar system. Numerical integrations show that such 1–1 resonance orbits may be stable over astronomically long periods of time. This has been confirmed for the major planets from Jupiter to Neptune. These resonant asteroid orbits show no sign of instability, for at least a million years. For Saturn the existence of such orbits is surprising because of the periodic proximity of Jupiter.

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© 1988 Kluwer Academic Publishers

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Innanen, K.A., Mikkola, S., Zhang, S.P. (1988). Stability of the Planetary Triangular Lagrangian Points. In: Valtonen, M.J. (eds) The Few Body Problem. Astrophysics and Space Science Library, vol 140. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2917-3_22

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  • DOI: https://doi.org/10.1007/978-94-009-2917-3_22

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7813-9

  • Online ISBN: 978-94-009-2917-3

  • eBook Packages: Springer Book Archive

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