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Computation of weak stability boundaries: Sun–Jupiter system

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Abstract

We compute the weak stability boundary in the planar circular restricted three-body problem starting from the algorithmic definition, and its generalization by García and Gómez. In addition, we consider a new set of primaries, Sun–Jupiter, to replace the case of Earth–Moon considered in previous studies. Numerical enhancements are described and compared to previous methods. This includes defining the equations of motion in polar coordinates and a modified numerical scheme for the derivation of both stable sets and their boundaries. These enhancements decrease the computational time. New results are obtained by considering the Sun–Jupiter case which we compare to the Earth–Moon case.

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Authors and Affiliations

  1. Aerospace Engineering Department, Politecnico di Milano, Via La Masa, 34, 20156, Milan, Italy

    Francesco Topputo

  2. Department of Astrophysical Sciences, Princeton University, Peyton Hall, Ivy Lane, Princeton, NJ, 08544, USA

    Edward Belbruno

Authors
  1. Francesco Topputo
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  2. Edward Belbruno
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Correspondence to Francesco Topputo.

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Topputo, F., Belbruno, E. Computation of weak stability boundaries: Sun–Jupiter system. Celest Mech Dyn Astr 105, 3–17 (2009). https://doi.org/10.1007/s10569-009-9222-5

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  • DOI: https://doi.org/10.1007/s10569-009-9222-5

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