New normal form approaches adapted to the Trojan problem [EPA]

http://arxiv.org/abs/1703.08819


The main subject of this work is the study of the problem of the Trojan orbits from a perturbative Hamiltonian perspective. We face this problem by introducing first a novel Hamiltonian formulation, exploiting the well-differentiated temporal scales of the Trojan motion. The resulting Hamiltonian allows to separate the secular (very slow) component of the motion from the librating and fast degrees of freedom. This decompositon provides the foundation of a so-called Basic Hamiltonian model (Hb), i.e. the part of the Hamiltonian for Trojan orbits independent of all secular angles. Our study shows that, up to some extent, the model Hb successfully represents the features of the motion under more complete models, in a range of physical parameters relevant for dynamics in the Solar System or in extrasolar planetary systems. (continues…)

Read this paper on arXiv…

R. Paez
Tue, 28 Mar 17
55/68

Comments: Ph.D. Thesis – Presented on 23rd February 2016