The Stellar Three-Body Problem

Details The Stellar Three-Body Problem The Stellar Three-Body Problem

Jun 1969

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1969cemec...1..200h&link_type=abstract

Celestial Mechanics, Volume 1, Issue 2, pp.200-209

Statistics

Applications

50

Scientific paper

Two applications of von Zeipel's method to the stellar three-body problem eliminate the short period terms and establish two new integrals of the motion beyond the classical integrals. The remaining time averaged problem with only the second order Hamiltonian has one additional integral and can be solved. The motion with the third order averaged Hamiltonian included is more complex, in that there may be additional resonances, and the additional integral does not exist in all cases.

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