Trojan orbits with mass exchange of the primaries

Details Trojan orbits with mass exchange of the primaries Trojan orbits with mass exchange of the primaries

Aug 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cemec..33..367h&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 33, Aug. 1984, p. 367-374.

Physics

7

Celestial Mechanics, Jupiter (Planet), Librational Motion, Mass Transfer, Solar Orbits, Trojan Orbits, Extremum Values, Lagrangian Equilibrium Points, Mass Ratios

Scientific paper

The librational motion round the Lagrangian triangular points L4, L5 with mass exchange of the primaries is investigated according to Brown's theory. The results are the same as in the case of isotropic mass variation studied earlier (Horedt, 1974): (1) The extrema of the elongations with respect to the small mass are unaffected by mass exchange. (2) The equations for the extrema of the Trojan's distance from the Sun and for the libration period are formally the same as in the constant mass problem, but with the understanding that the masses are now time dependent quantities.

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