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New Developments of Variational Method of N-body Problem in Celestial Mechanics
Variational Method N-body Problem Celestial Mechanics
2015/3/18
New Developments of Variational Method of N-bodym Problem in Celestial Mechanics.
Existence of Equilibrium Points and their Linear Stability in the Generalized Photogravitational Chermnykh-Like Problem with Power-law Profile
Existence of Equilibrium Points and their Linear Stability in the Generalized Photogravitational Chermnykh-Like Problem with Power-law Profile
2011/10/14
We consider the modified restricted three body problem with power-law density profile of disk, which rotates around the center of mass of the system with perturbed mean motion. Using analytical and nu...
Dynamical chaos in the problem of magnetic jet collimation
galaxies: jets – magnetic fi elds – MHD – ISM: jets and outfl ows – ISM:kinematics and dynamics
2011/10/12
We investigate dynamics of a jet collimated by magneto-torsional oscillations. The problem is reduced to an ordinary differential equation containing a singularity and depending on a parameter. We fin...
The study of the zonal satellite problem is continued by tackling
the situation r→∞. New equations of motion (for which the infinite distance is a
singularity) and the corresponding first integrals ...
THE ZONAL SATLLITE PROBLEM. I. NEAR-COLLISION FLOW
NEAR-COLLISION FLOW ZONAL SATLLITE PROBLEM
2009/3/26
The force field described by a potential function of the form U =
n
k=1 ak/rk (r = distance between particles, ak = real parameters) models various
concrete situations belonging to astronomy, phys...
We tackle the two-body problem associated to H´enon-Heiles’ potential
in the special case of the collision singularity. Using McGehee-type transformations
of the second kind, we blow up the si...