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Symplectic Integrators for Hill’s Lunar Problem

Published:1997 Issue: Volume: Page:291-305
ISSN:
Container-title:The Dynamical Behaviour of our Planetary System
language:
Short-container-title:

Author:

Waldvogel J.

Publisher

Springer Netherlands

Link

http://link.springer.com/content/pdf/10.1007/978-94-011-5510-6_20.pdf

Reference17 articles.

1. Hairer E., Nørsett S.P., Wanner G., 1994: Solving Ordinary Differential Equations I, Nonstiff Problems, Second Edition. Springer-Verlag, 480 pp.

2. Hairer E., Wanner G., 1991: Solving Ordinary Differential Equations II, Stiff and Differential-Algebraic Problems. Springer-Verlag, 601 pp.

3. Hill, G.W., 1886: On the part of the motion of the lunar perigee which is a fraction of the mean motions of the sun and moon. Acta Math. 8, 1; also: Collected Mathematical works of G.W. Hill. Vol. 1. 1, p. 243. Cargenie Inst of Wash., Washington, D.C., 1905.

4. Levi-Civita, T., 1920: Sur la régularisation du problème des trois corps. Acta Math. 42, 99–144.

5. McLachlan, R.I., 1995: On the numerical integration of ordinary differential equations by symmetric composition methods. SIAM J. Sci. Comp. 16, 151–168.

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