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The Modified Restricted Three Body Problems
Published online by Cambridge University Press: 22 February 2018
Abstract
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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
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.
- 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
Murray, C.D. & Dermott, S.F.
1999, Solar System Dynamics (Cambridge: Cambridge University Press).Google Scholar
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