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The Distribution of Energy Perturbations at Planetary Close Encounters

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Abstract

Öpik’s theory of close encounters allows us to deduce an analytic expression for the distribution of energy perturbations at close encounters between small bodies and planets. The derivation of this expression highlights a simple geometric structure in the plane containing the planet and perpendicular to the unperturbed planetocentric velocity vector. The analytic formulation reproduces well the results of the numerical integrations that first pointed out the asymmetries in the distribution of energy perturbations.

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Authors and Affiliations

  1. Istituto di Astrofisica Spaziale, Area di Ricerca C.N.R, via Fosso del Cavaliere 100, I-00133, Roma, Italy

    Giovanni B. Valsecchi

  2. Dipartimento di Matematica, Università di Pisa, via Buonarroti 2, I-56127, Pisa, Italy

    Andrea Milani & Giovanni F. Gronchi

  3. Jet Propulsion Laboratory, 4800 Oak Grove Drive, CA-91109, Pasadena, U.S.A.

    Steven R. Chesley

Authors
  1. Giovanni B. Valsecchi
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  2. Andrea Milani
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  3. Giovanni F. Gronchi
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  4. Steven R. Chesley
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Valsecchi, G.B., Milani, A., Gronchi, G.F. et al. The Distribution of Energy Perturbations at Planetary Close Encounters. Celestial Mechanics and Dynamical Astronomy 78, 83–91 (2000). https://doi.org/10.1023/A:1011151925074

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  • DOI: https://doi.org/10.1023/A:1011151925074

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