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Generalized Averaging Principle and Proper Elements for NEAs

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Singularities in Gravitational Systems

Part of the book series: Lecture Notes in Physics ((LNP,volume 590))

Abstract

We present a reviewof the results concerning a generalization of the classical averaging principle suitable to deal with orbit crossings, that make singular the Newtonian potential at the values of the anomalies corresponding to collisions. These methods have been applied to study the secular evolution of Near Earth Asteroids and to define proper elements for them, that are useful to study the possibility of impact between these asteroids and the Earth.

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Author information

Authors and Affiliations

  1. Dipartimento di Matematica, Università di Pisa, Via Buonarroti 2, 56127, Pisa, Italy

    Giovanni-Federico Gronchi

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  1. Giovanni-Federico Gronchi
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Editor information

Editors and Affiliations

  1. O.C.A. Observatoire de Nice, B.P. 4229, 06304, Nice Cedex 4, France

    Daniel Benest  & Claude Froeschlé  & 

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Gronchi, GF. (2002). Generalized Averaging Principle and Proper Elements for NEAs. In: Benest, D., Froeschlé, C. (eds) Singularities in Gravitational Systems. Lecture Notes in Physics, vol 590. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48009-9_10

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  • DOI: https://doi.org/10.1007/3-540-48009-9_10

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43765-9

  • Online ISBN: 978-3-540-48009-9

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