Other
Scientific paper
Sep 1996
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996dps....28.1212h&link_type=abstract
American Astronomical Society, DPS meeting #28, #12.12; Bulletin of the American Astronomical Society, Vol. 28, p.1113
Other
Scientific paper
We investigate a simple question of celestial mechanics: in what regions of phase space near a binary system could planets persist for times on the order of age of the system? First, the planets are considered as test particles moving in the field of an eccentric binary system. We investigate a range of values of the binary eccentricity and mass ratio. From the results, we develop empirical expressions for (1) the most distant orbit around one star or the other in which test particles survive the length of the integration, and (2) the nearest orbit outside of the binary in which a test particle in a nearly circular orbit about the center of mass of the system would survive the full integration. These expressions can be used to guide searches for planets in binary systems. Next we investigate a system of interacting planets moving in the field of an eccentric binary pair. We simply take the Sun and giant planets from our own solar system and add a solar mass companion. First, the companion is placed in the plane of the solar system with an eccentricity of e_c = 0.4 and semimajor axis from 150 AU to 500 AU in increments of 50 AU. For all semimajor axes except 400 AU and 500 AU Uranus and Neptune cross orbits within 10(7) --10(8) years. In the 400 AU and 500 AU runs the systems survive the full 10(9) year integrations. Next, the solar mass companion is inclined 75deg and 87deg to the plane of the Sun and planets, with e_c = 0.4 and a_c = 500, 750, and 1000 AU. The 500 and 750 AU runs are unstable in 10(7) --10(8) years, but the 1000 AU runs survive 10(9) years. Although our own system of planets might be different from the type of planetary system that could form in the binary environment, these experiments are an important proof of concept.
Holman Matt
Wiegert Paul
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