Dynamics of KBOs near the 4:5 mean motion resonance with Neptune

Astronomy and Astrophysics – Astrophysics

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Celestial Mechanics, Neptune, Kuiper Belt, Trans-Neptunian Objects

Scientific paper

We study the dynamics at the 4:5 exterior mean motion resonance using the model of the restricted three-body problem with the Sun and Neptune as primaries. The position and the stability character of the periodic orbits determine critically the structure of the phase space and particularly the qualitative characteristics of the long-term evolution of trans-Neptunian objects (TNOs). Using the circular planar model as the basic model, we extend our study to other models by considering the ellipticity of Neptune's orbit and the inclination of TNO's orbit. Families of symmetric periodic orbits of the planar elliptic and the three-dimensional problem (circular or elliptic) are found. The stability of all orbits is also examined. Finally, we show the evolution of a real object, i.e. the 2003 FC128, which is located near the 4:5 resonance.

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