Chaotic Amplification in the Relativistic Restricted Three-body Problem
2003 ◽
Vol 58
(1)
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pp. 13-22
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Keyword(s):
The relativistic equations of motion for the restricted three-body problem are derived in the first post-Newtonian approximation. These equations are integrated numerically for seven different trajectories in the earth-moon orbital system. Four of the trajectories are determined to be chaotic and three are not chaotic. Each post-Newtonian trajectory is compared to its Newtonian counterpart. It is found that the difference between Newtonian and post-Newtonian trajectories for the restricted three-body problem is greater for chaotic trajectories than it is for trajectories that are not chaotic. Finally, the possibility of using this Chaotic Amplification Effect as a novel test of general relativity is discussed.
1974 ◽
Vol 62
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pp. 63-69
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1996 ◽
Vol 172
◽
pp. 187-192
Keyword(s):
2016 ◽
Vol 26
(05)
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pp. 1630013
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Keyword(s):
Keyword(s):
2019 ◽
Vol 3
(325)
◽
pp. 5-12
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Keyword(s):
2017 ◽
Vol 2
(2)
◽
pp. 529-542
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