Comparisons of integrators on a diverse collection of restricted three-body test problems

P.W. Sharp

Abstract

In earlier work, we presented a collection of 20 two-dimensional symmetric periodic orbits for the restricted three-body problem and compared the ubiquitous matlab integrators ode45 and ode113 on the orbits.

The current work greatly extends this. 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.

Keywords
restricted three-body problem, test problems, integrators, comparisons

Math Review Classification
Primary 65L06 ; Secondary 85-08

Last Updated

Length
18 pages

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