Periodic solutions of symmetric Kepler perturbations and applications
نویسندگان
چکیده
We investigate the existence of several families symmetric periodic solutions as continuation circular orbits Kepler problem for certain differentiable perturbations using an appropriate set Poincare-Delaunay coordinates which are essential in our approach. More precisely, we try separately two situations independent way, namely, when unperturbed part corresponds to a inertial cartesian and it rotating on ℝ3. Moreover, characteristic multipliers characterized. The planar case arises particular case. Finally, apply these results study stability Matese-Whitman Hamiltonian generalized Stormer model.
منابع مشابه
Periodic solutions of radially symmetric perturbations of Newtonian systems
The classical Newton equation for the motion of a body in a gravitational central field is here modified in order to include periodic central forces. We prove that infinitely many periodic solutions still exist in this case. These solutions have periods which are large integer multiples of the period of the forcing, and rotate exactly once around the origin in their period time.
متن کاملPeriodic solutions for planar autonomous systems with nonsmooth periodic perturbations
In this paper we consider a class of planar autonomous systems having an isolated limit cycle x0 of smallest period T > 0 such that the associated linearized system around it has only one characteristic multiplier with absolute value 1. We consider two functions, defined by means of the eigenfunctions of the adjoint of the linearized system, and we formulate conditions in terms of them in order...
متن کاملPeriodic Orbits of Hamiltonian Systems: Applications to Perturbed Kepler Problems
We provide for a class of Hamiltonian systems in the action– angle variables sufficient conditions for showing the existence of periodic orbits. We expand this result to the study of the existence of periodic orbits of perturbed spatial Keplerian Hamiltonians with axial symmetry. Finally, we apply these general results for finding periodic orbits of the Matese– Whitman Hamiltonian, of the spati...
متن کاملImpulsive differential equations: Periodic solutions and applications
Some people may be laughing when looking at you reading in your spare time. Some may be admired of you. And some may want be like you who have reading hobby. What about your own feel? Have you felt right? Reading is a need and a hobby at once. This condition is the on that will make you feel that you must read. If you know are looking for the book enPDFd impulsive differential equations periodi...
متن کاملThe Kepler Problem with Anisotropic Perturbations
We study a 2-body problem given by the sum of the Newtonian potential and an anisotropic perturbation that is a homogeneous function of degree −β, β ≥ 2. For β > 2, the sets of initial conditions leading to collisions/ejections and the one leading to escapes/captures have positive measure. For β > 2 and β 6= 3, the flow on the zero-energy manifold is chaotic. For β = 2, a case we prove integrab...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Nonlinear Mathematical Physics
سال: 2021
ISSN: ['1776-0852', '1402-9251']
DOI: https://doi.org/10.1080/14029251.2016.1204721