Astronomy and Astrophysics – Astronomy
Scientific paper
Dec 2003
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003dps....35.1818l&link_type=abstract
American Astronomical Society, DPS meeting #35, #18.18; Bulletin of the American Astronomical Society, Vol. 35, p.1485
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 planets due to planet-disk interactions. A wide variety of stable 2:1 resonance configurations can be reached by differential migration of planets with constant masses and 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 (θ 1 ≈ θ 2 ≈ 0o), anti-symmetric (θ 1 ≈ 180o and θ 2 ≈ 0o), and asymmetric librations that cannot be reached by differential migration of planets with constant masses and initially coplanar and nearly circular orbits. If real systems with these configurations are ever found, their origin would require (1) a change in the mass ratio m1/m_2 during migration, (2) multiple-planet scattering in crowded planetary systems (Adams & Laughlin 2003), or (3) a migration scenario involving inclination resonances (Thommes & Lissauer 2003). The θ 1 ≈ 180o and θ 2 ≈ 0o configuration can only be reached by the latter two mechanisms.
Lee Michael H.
Peale Stanton J.
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