Global Instability in the Restricted Planar Elliptic Three Body Problem
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DOI: 10.1007/s00220-018-3248-z
Abstract: The restricted planar elliptic three body problem (RPETBP) describes the motion of a massless particle (a comet or an asteroid) under the gravitational field of two massive bodies (the primaries, say the Sun and Jupiter)… read more here.
Keywords: restricted planar; elliptic three; planar elliptic; body problem ... See more keywords
Noncollision Periodic Solutions for Circular Restricted Planar Newtonian Four-Body Problems
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DOI: 10.3390/math13183015
Abstract: We study a class of circular restricted planar Newtonian four-body problems in which three masses are positioned at the vertices of a Lagrange equilateral triangle configuration, each mass revolving around the center of mass in… read more here.
Keywords: planar newtonian; four body; restricted planar; circular restricted ... See more keywords