Stability and Eccentricity for Two Planets in a 1:1 Resonance, and Their Possible Occurrence in Extrasolar Planetary Systems

@article{Nauenberg2002StabilityAE,
  title={Stability and Eccentricity for Two Planets in a 1:1 Resonance, and Their Possible Occurrence in Extrasolar Planetary Systems},
  author={M. Nauenberg},
  journal={The Astronomical Journal},
  year={2002},
  volume={124},
  pages={2332-2338}
}
The nonlinear stability domain of Lagrange's celebrated 1772 solution of the three-body problem is obtained numerically as a function of the masses of the bodies and the common eccentricity of their Keplerian orbits. This domain shows that this solution can be realized in extrasolar planetary systems similar to those that have been discovered recently with two Jupiter-size planets orbiting a solar-size star. For an exact 1 : 1 resonance, the Doppler shift variation in the emitted light would be… Expand
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