Hostname: page-component-78c5997874-j824f Total loading time: 0 Render date: 2024-11-10T09:47:28.329Z Has data issue: false hasContentIssue false
  • English
  • Français

The Modified Restricted Three Body Problems

Published online by Cambridge University Press:  22 February 2018

Ing-Guey Jiang  and
Li-Chin Yeh
Ing-Guey Jiang
Affiliation:
National Central Univ., Taiwan
Li-Chin Yeh
Affiliation:
National Hsinchu Teachers College, Taiwan

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The restricted three body problem is well-known and very important for the dynamics of binary and multiple stars and also planetary systems. We extend the classical version of this problem to the situation that there are some external forces from the belt. We find that both the equilibrium points and solution curves become quite different from the classical case. We also determine the values of Lyapunov exponent for some important orbits.

Resumen

Resumen

El problema restringido de los tres cuerpos es importante en la dinámica de las estrellas dobles y múltiples y de los sistemas planetarios. Extendemos la, versión clásica de este problema a una situación que incluye un anillo. Encontramos puntos de equilibrio y curvas muy distintas a las del caso clásico. Calculamos el valor delexponente de Lyapunov para algunas órbitas.

Keywords

Three-Body Problem — Stellar Dynamics
Type
Theoretical Approaches to Multiple Stars and Their Formation
Information
International Astronomical Union Colloquium , Volume 191: The Environment and Evolution of Double and Multiple Stars , August 2004 , pp. 152 - 155
Copyright
Copyright © Instituto de Astronomia – Mexico 2004

References

Dvorak, R., Pilat-Lohinger, E., Bois, E., Funk, B., Freistetter, F., & Kiseleva-Eggleton, L. 2004, this volume.Google Scholar
Jiang, I.-G., & Ip, W.-H. 2001, A&A, 367, 943.Google Scholar
Jiang, I.-G., & Yeh, L.-C. 2003, Int. J. Bifurcation and Chaos, 13, 534.Google Scholar
Murray, C.D. & Dermott, S.F. 1999, Solar System Dynamics (Cambridge: Cambridge University Press).Google Scholar
Valtonen, M. 2004, this volume.Google Scholar
Wolf, A., Swift, J.B., Swinney, H.L., & Vastano, J.A. 1985, Physica 16D, 285.Google Scholar
Yeh, L.-C., & Jiang, I.-G. 2001, ApJ, 561, 364.CrossRefGoogle Scholar