Some special restricted four-body problems-II. From Caledonia to Copenhagen

Details Some special restricted four-body problems-II. From Caledonia to Copenhagen Some special restricted four-body problems-II. From Caledonia to Copenhagen

Dec 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998p%26ss...46.1475r&link_type=abstract

Planetary and Space Science, Volume 46, Issue 11-12, p. 1475-1486.

Physics

8

Scientific paper

Special analytical solutions are determined for restricted, coplanar, four-body equal mass problems, including the Caledonian problem, where the masses Mi = M for i = 1, 2, 3, 4. Most of these solutions are shown to reduce to the Lagrange solutions of the Copenhagen problem of three bodies by reducing two of the masses (mi = m for i = 1,2) in the four-body equal mass problem to zero while maintaining their equality of mass. In so doing, families of special solutions to the four-body problem are shown to exist for any value of the mass ratio μ = m/M.

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