Approximate Analytical Three-Dimensional Multiple Time Scales Solution to a Circular Restricted Three-Body Problem
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We illustrate the chaotic nature of the circular restricted three-body problem from the perspective of the bifurcation diagram with respect to the mass ratio parameter. Moreover, it is shown that when the frequency ratio in different directions of the classical problem is irrational, it has the quasiperiodic characteristics. In addition, a three-dimensional approximate solution to this problem under two time scales is proposed by using the multiple time scales method.
2000 ◽
Vol 174
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pp. 281-285
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1983 ◽
Vol 74
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pp. 235-247
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1981 ◽
pp. 321-351
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BIFURCATIONS IN THE TOPOLOGY OF ZERO-VELOCITY SURFACES IN THE PHOTO-GRAVITATIONAL COPENHAGEN PROBLEM
2009 ◽
Vol 19
(03)
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pp. 1097-1111
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2008 ◽
Vol 314
(1-3)
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pp. 199-208
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Keyword(s):
1991 ◽
Vol 51
(4)
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pp. 349-362
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