Averaging the planar three-body problem in the neighborhood of double inner collisions

Canonical theory of the two-body problem in the classical relativistic electrodynamics.. Annales

Theorem 2.4 The binary collisions between the secondary bodies of the R-symmetric N +2 body problem with Hamiltonian function ( 32 ) are regularizables by the composition of a

(As already men- tionned, the scaling symmetry of the n-body problem allows to canonically put in correspondance solutions with a fixed norm of the angular momentum, and solutions

The conservative sector of the two-body problem is presented in chapter III , and illustrated by the high precision (next-to-next-to-next-to-leading order) computation of the

A clear superiority of the constant step-size integrations of the time-regularized equations over the adaptive numerical integration of the equations in physical time can be

Moreover, in the zero range model, there are energy crossings between universal and efimovian states as a function of R t /a ho (see solid lines in Fig.2a); as we shall see, for

We have introduced a new set of coordinates to represent the 2D three body Coulomb problem and given the resulting Schr¨ odinger equation. We have discussed the discrete symmetry

Earth-Moon transfer, low thrust, circular restricted three-body problem, optimal control, minimum time or fuel consumption trajectories, shoot- ing, discrete and