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IMA Journal of Numerical Analysis 2004 24(4):557-575; doi:10.1093/imanum/24.4.557
© 2004 by Institute of Mathematics and its Applications
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Comparisons of integrators on a diverse collection of restricted three-body test problems

P. W. Sharp1

1 Department of Mathematics, University of Auckland, Private Bag 92019, Auckland, New Zealand

The restricted three-body problem has many important astronomical applications. We present a diverse collection of 28 symmetric and asymmetric, stable and unstable periodic orbits for the two- and three-dimensional problems and compare the performance of eight general purpose integrators on the orbits.

Key Words: restricted three-body; two-dimensional; three-dimensional; symmetric; non-symmetric; stable; unstable; comparison of integrators

Received 11 July 2001. Revised 23 February 2004.


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