Global Regularization of a Restricted Four-Body Problem
2014 ◽
Vol 24
(07)
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pp. 1450092
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Keyword(s):
In the n-body problem, a collision singularity occurs when the position of two or more bodies coincide. By understanding the dynamics of collision motion in the regularized setting, a better understanding of the dynamics of near-collision motion is achieved. In this paper, we show that any double collision of the planar equilateral restricted four-body problem can be regularized by using a Birkhoff-type transformation. This transformation has the important property to provide a simultaneous regularization of three singularities due to binary collision. We present some ejection–collision orbits after the regularization of the restricted four-body problem (RFBP) with equal masses, which were obtained by numerical integration.
2011 ◽
Vol 110
(3)
◽
pp. 271-290
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Keyword(s):
1996 ◽
Vol 134
(4)
◽
pp. 303-340
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Keyword(s):
2012 ◽
Vol 392
(2)
◽
pp. 136-147
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Keyword(s):
2012 ◽
Vol 112
(4)
◽
pp. 459-460
◽
Keyword(s):
2010 ◽
Vol 108
(2)
◽
pp. 147-164
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Keyword(s):
2019 ◽
Vol 71
◽
pp. 82-100
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1984 ◽
Vol 75
◽
pp. 675-676