Nekhoroshev stability estimates for different models of the Trojan asteroids

Details Nekhoroshev stability estimates for different models of the Trojan asteroids Nekhoroshev stability estimates for different models of the Trojan asteroids

Feb 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005dpps.conf..195e&link_type=abstract

Dynamics of Populations of Planetary Systems, Proceedings of IAU Colloquium #197, held 31 August - 4 Spetember, 2004 in Belgrade

Computer Science

Trojan Asteroids, Nekhoroshev Stability.

Scientific paper

Estimates of the region of Nekhoroshev stability of Jupiter's Trojan asteroids are obtained by a direct (i.e. without use of the normal form) construction of formal integrals near the Lagrangian elliptic equilibrium points. Formal integrals are constructed in the Hamiltonian model of the planar circular restricted three body problem (PCRTBP), and in a mapping model (Sándor et al. 2002) of the same problem for small orbital eccentricities of the asteroids. The analytical estimates are based on the calculation of the size of the remainder of the formal series by a computer program. An analysis is made of the accumulation of small divisors in the series. The most important divisors introduce competing Fourier terms with sizes growing at similar rates as the order of truncation increases. This makes impossible to improve the estimates by considering nearly resonant forms of the formal integrals for particular near-resonances. Improved estimates were obtained in a mapping model of the PCRTBP. The main source of improvement is the use of better variables (Delaunay). Our best estimate represents a maximum libration amplitude D_p=10.6(0) . This is a quite realistic value which demonstrates the usefulness of Nekhoroshev theory.

Affiliated with

Also associated with

No associations

Rating

Nekhoroshev stability estimates for different models of the Trojan asteroids 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 Nekhoroshev stability estimates for different models of the Trojan asteroids, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nekhoroshev stability estimates for different models of the Trojan asteroids will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1358143