Diversity and Origin of 2:1 Orbital Resonances in Extrasolar Planetary Systems

Details Diversity and Origin of 2:1 Orbital Resonances in Extrasolar Planetary Systems Diversity and Origin of 2:1 Orbital Resonances in Extrasolar Planetary Systems

Aug 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003dda....34.1206l&link_type=abstract

American Astronomical Society, DDA meeting #34, #12.06; Bulletin of the American Astronomical Society, Vol. 35, p.1048

Astronomy and Astrophysics

Astronomy

Scientific paper

The 2:1 orbital resonances of the two planets about GJ 876 can be easily established by the differential migration of the orbits due to planet-disk interactions. A wide variety of stable 2:1 resonance configurations can be reached by differential migration of planets on initially coplanar and nearly circular orbits. These include configurations with librations of θ 1 = λ 1 - 2λ 2 + ϖ1 (where λ i and ϖi are the mean longitudes and the longitudes of periapse) about 0o and θ 2 = λ 1 - 2λ 2 + ϖ2 about 180o (as in the Io-Europa pair), configurations with librations of both θ 1 and θ 2 about 0o (as in the GJ 876 system), and configurations with asymmetric librations of θ 1 and θ 2 tens of degrees from either 0o or 180o. There are however stable resonance configurations with symmetric or asymmetric librations that cannot be reached by capture into resonances by coplanar differential migration. A particular example is the θ 1 = 180o and θ 2 = 0o configuration with planets on intersecting orbits. If real systems with these configurations are ever found, their origin would require either a migration scenario involving inclination resonances or multiple-planet scattering in crowded planetary systems.

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