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three-body problem — stellar dynamics

International Astronomical Union Colloquium (1)

International Astronomical Union (1)

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The Modified Restricted Three Body Problems
Ing-Guey Jiang, Li-Chin Yeh
Journal:

International Astronomical Union Colloquium / Volume 191 / August 2004

Published online by Cambridge University Press:

22 February 2018, pp. 152-155

Print publication:

August 2004
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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.