On Oscillatory Motion in the Problem of Three Bodies

Details On Oscillatory Motion in the Problem of Three Bodies On Oscillatory Motion in the Problem of Three Bodies

Sep 1970

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1970cemec...1..343s&link_type=abstract

Celestial Mechanics, Volume 1, Issue 3-4, pp. 343-346

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4

Scientific paper

In the case of oscillatory motion in the problem of three bodies it is shown that ast→∞ the mutual distances between particles cannot separate faster thanCt 2/3 whereC is some positive constant. As bounding functions of time exist for the other classifications of motion in the three body problem, it follows in general that the mutual distances between particles is 0(t) ast→∞.

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