Resonant Periodic Orbits of Trans-Neptunian Objects

Details Resonant Periodic Orbits of Trans-Neptunian Objects Resonant Periodic Orbits of Trans-Neptunian Objects

Oct 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002em%26p...91...63k&link_type=abstract

Earth, Moon, and Planets, v. 91, Issue 2, p. 63-93 (2002).

Statistics

Computation

6

Bifurcation, Periodic Orbits, Resonances, Trans-Neptunian Objects

Scientific paper

We study two and three-dimensional resonant periodic orbits, 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 the structure of the phase space and this will provide useful information on the stability and long term evolution of trans-Neptunian objects. The circular planar model is used as the starting point. Families of periodic orbits are computed at the exterior resonances 1/2, 2/3 and 3/4 with Neptune and these are used as a guide to select the energy levels for the computation of the Poincaré maps, so that all basic resonances are included in the study. Using the circular planar model as the basic model, we extend our study to more realistic models by considering an elliptic orbit of Neptune and introducing the inclination of the orbit. Families of symmetric periodic orbits of the planar elliptic restricted three-body problem and the three-dimensional problem are found. All these orbits bifurcate from the families of periodic orbits of the planar circular problem. The stability of all orbits is studied. Although the resonant structure in the circular problem is similar for all resonances, the situation changes if the eccentricity of Neptune or the inclination of the orbit is taken into account. All these results are combined to explain why in some resonances there are many bodies and other resonances are empty.

Affiliated with

Also associated with

No associations

Rating

Resonant Periodic Orbits of Trans-Neptunian Objects does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Resonant Periodic Orbits of Trans-Neptunian Objects, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Resonant Periodic Orbits of Trans-Neptunian Objects will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1422260