• DOI:10.3847/1538-3881/aac1bc
• Corpus ID: 54537318

Dynamic Portrait of the Retrograde 1:1 Mean Motion Resonance

@article{Huang2018DynamicPO,
  title={Dynamic Portrait of the Retrograde 1:1 Mean Motion Resonance},
  author={Yukun Huang and Miao Li and Junfeng Li and Shengping Gong},
  journal={The Astronomical Journal},
  year={2018},
  volume={155}
}

• Yukun Huang, Miao Li, +1 author Shengping Gong
• Published 29 April 2018
• Physics, Geology
• The Astronomical Journal

Asteroids in mean motion resonances with giant planets are common in the solar system, but it was not until recently that several asteroids in retrograde mean motion resonances with Jupiter and Saturn were discovered. A retrograde co-orbital asteroid of Jupiter, 2015 BZ509 is confirmed to be in a long-term stable retrograde 1:1 mean motion resonance with Jupiter, which gives rise to our interests in its unique resonant dynamics. In this paper, we investigate the phase-space structure of the retrograde 1:1 resonance in detail within the framework of the circular restricted three-body problem. We construct a simple integrable approximation for the planar retrograde resonance using canonical contact transformation and numerically employ the averaging procedure in closed form. The phase portrait of the retrograde 1:1 resonance is depicted with the level curves of the averaged Hamiltonian. We thoroughly analyze all possible librations in the co-orbital region and uncover a new apocentric libration for the retrograde 1:1 resonance inside the planet’s orbit. We also observe the significant jumps in orbital elements for outer and inner apocentric librations, which are caused by close encounters with the perturber.