Dynamic Portrait of the Retrograde 1:1 Mean Motion Resonance

  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},
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… 

Kozai-Lidov mechanism inside retrograde mean motion resonances

As the discoveries of more minor bodies in retrograde resonances with giant planets, such as 2015 BZ509 and 2006 RJ2, our curiosity about the Kozai-Lidov dynamics inside the retrograde resonance has

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Aims. Asteroids in mean motion resonances (MMRs) with planets are common in the solar system. In recent years, increasingly more retrograde asteroids are discovered, several of which are identified

Centaurs potentially in retrograde co-orbit resonance with Saturn

Aims. The asteroid 2015 BZ509 is the first asteroid confirmed to be in retrograde co-orbit resonance (or 1/−1 resonance) with the giant planets in the solar system. While Saturn is the only giant

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Asteroid (514107) Ka‘epaoka‘awela is the first example of an object in the 1/1 mean motion resonance with Jupiter with retrograde motion around the Sun. Its orbit was shown to be stable over the

A semi-analytic model for the study of 1/1 resonant dynamics of the planar elliptic restricted co-orbital problem

Mean motion resonances (MMRs) are widespread in our Solar System. Moreover, resonant dynamics has always been an essential topic in planetary research. Recently, the research about exoplanets and the

Retrograde periodic orbits in 1/2, 2/3 and 3/4 mean motion resonances with Neptune

We study planar and three-dimensional retrograde periodic orbits, using the model of the restricted three-body problem (RTBP) with the Sun and Neptune as primaries and focusing on the dynamics of

Erratum: phase structure of co-orbital motion with jupiter

In this paper, we investigate the dynamics of the inclined co-orbital motion with Jupiter through a torus phase structure in the Sun–Jupiter circular restricted three-body problem. A

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We find an interesting fact that fictitious retrograde co-orbitals of Saturn, or small bodies inside the retrograde 1:1 resonance with Saturn, are highly unstable in our numerical simulations. It

Dynamical structures of retrograde resonances: analytical and numerical studies

  • Hanlun LeiJian Li
  • Physics, Geology
    Monthly Notices of the Royal Astronomical Society
  • 2021
In this work, retrograde mean motion resonances (MMRs) are investigated by means of analytical and numerical approaches. Initially, we define a new resonant angle to describe the retrograde MMRs

Dynamics of planets in retrograde mean motion resonance

In a previous paper (Gayon and Bois 2008a), we have shown the general efficiency of retrograde resonances for stabilizing compact planetary systems. Such retrograde resonances can be found when

A numerical investigation of coorbital stability and libration in three dimensions

Motivated by the dynamics of resonance capture, we study numerically the coorbital resonance for inclination $$0\le I\le 180^\circ $$0≤I≤180∘ in the circular restricted three-body problem. We examine

Mean Motion Resonances at High Eccentricities: The 2:1 and the 3:2 Interior Resonances

Mean motion resonances (MMRs) play an important role in the formation and evolution of planetary systems and have significantly influenced the orbital properties and distribution of planets and minor

Retrograde resonance in the planar three-body problem

We continue the investigation of the dynamics of retrograde resonances initiated in Morais and Giuppone (Mon Notices R Astron Soc 424:52–64, doi:10.1111/j.1365-2966.2012.21151.x, 2012). After

Asteroids in retrograde resonance with Jupiter and Saturn

ABSTRACT We identify a set of asteroids among Centaurs and Damocloids, that orbit contrary to thecommon direction of motion in the Solar System and that enter into resonance with Jupiterand Saturn.

Stability of prograde and retrograde planets in circular binary systems

We investigate the stability of prograde versus retrograde planets in circular binary systems using numerical simulations. We show that retrograde planets are stable up to distances closer to the

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Context. Most multi-planetary systems are characterized by hot-Jupiters close to their central star, moving on eccentric orbits. From a dynamical point of view, compact multi-planetary systems form a

A retrograde co-orbital asteroid of Jupiter

Observations and analysis demonstrate that asteroid 2015 BZ509 is indeed a retrograde co-orbital asteroid of the planet Jupiter and has long-term stability, having been in its current, resonant state for around a million years.

Resonance capture at arbitrary inclination

Resonance capture is studied numerically in the three-body problem for arbitrary inclinations. Massless particles are set to drift from outside the 1:5 resonance with a Jupiter-mass planet thereby

The main mean motion commensurabilities in the planar circular and elliptic problem

We study the motion of asteroids in the main mean motion commensurabilities in the frame of the planar restricted three-body problem. No assumption is made about the size of the eccentricity of the