Abstract
An algorithm for the numerical determination of asymmetric periodic solutions of the planar general three body problem is described. The elements of the “variational” matrix which are used in this algorithm are computed by numerical integration of the corresponding “variational” equations. These elements are also used in the study of the linear isoenergetic stability. A number of asymmetric periodic orbits are presented and their stability parameters are given.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Hadjidemetriou, J.D. 1975, Celes. Mech. 12, 255
Markellos, V.V.: 1977, Mon. Not. R. Astr. Soc. 180, 103
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1983 D. Reidel Publishing Company, Dordrecht, Holland
About this paper
Cite this paper
Tsouroplis, A., Zagouras, C.G. (1983). Asymmetric Periodic Orbits in the Three-Body Problem and their Stability. In: Markellos, V.V., Kozai, Y. (eds) Dynamical Trapping and Evolution in the Solar System. Astrophysics and Space Science Library, vol 106. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7214-8_28
Download citation
DOI: https://doi.org/10.1007/978-94-009-7214-8_28
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-009-7216-2
Online ISBN: 978-94-009-7214-8
eBook Packages: Springer Book Archive