The Dynamics of Neptune Trojan: I. the Inclined Orbits

Details The Dynamics of Neptune Trojan: I. the Inclined Orbits The Dynamics of Neptune Trojan: I. the Inclined Orbits

2009-06-27

arxiv.org/abs/0906.5075v1

Astronomy and Astrophysics

Astrophysics

Earth and Planetary Astrophysics

12 pages, 11 figures, accepted by Mon. Not. R.A.S

Scientific paper

The stability of Trojan type orbits around Neptune is studied. As the first part of our investigation, we present in this paper a global view of the stability of Trojans on inclined orbits. Using the frequency analysis method based on the FFT technique, we construct high resolution dynamical maps on the plane of initial semimajor axis $a_0$ versus inclination $i_0$. These maps show three most stable regions, with $i_0$ in the range of $(0^\circ,12^\circ), (22^\circ,36^\circ)$ and $(51^\circ,59^\circ)$ respectively, where the Trojans are most probably expected to be found. The similarity between the maps for the leading and trailing triangular Lagrange points $L_4$ and $L_5$ confirms the dynamical symmetry between these two points. By computing the power spectrum and the proper frequencies of the Trojan motion, we figure out the mechanisms that trigger chaos in the motion. The Kozai resonance found at high inclination varies the eccentricity and inclination of orbits, while the $\nu_8$ secular resonance around $i_0\sim44^\circ$ pumps up the eccentricity. Both mechanisms lead to eccentric orbits and encounters with Uranus that introduce strong perturbation and drive the objects away from the Trojan like orbits. This explains the clearance of Trojan at high inclination ($>60^\circ$) and an unstable gap around $44^\circ$ on the dynamical map. An empirical theory is derived from the numerical results, with which the main secular resonances are located on the initial plane of $(a_0,i_0)$. The fine structures in the dynamical maps can be explained by these secular resonances.

Affiliated with

Also associated with

No associations

Rating

The Dynamics of Neptune Trojan: I. the Inclined Orbits 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 The Dynamics of Neptune Trojan: I. the Inclined Orbits, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Dynamics of Neptune Trojan: I. the Inclined Orbits will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-306247