𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Regularizations of the plane restricted three-body problem

✍ Scribed by R. Broucke

Publisher
Elsevier Science
Year
1965
Tongue
English
Weight
620 KB
Volume
4
Category
Article
ISSN
0019-1035

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

A Note on the Regularization of the Rest
A Note on the Regularization of the Restricted Three-body Problem
✍ E. Leimanis πŸ“‚ Article πŸ“… 1976 πŸ› John Wiley and Sons 🌐 English βš– 167 KB πŸ‘ 2 views

## Abstract The requirement that near a singular point of the equations of motion the power series expansions of the old variables in terms of the new ones start with second order terms leads to the transformation __z__ = sin^2^1/2__w__ related to that of THIELE‐BURRAU. Using this new transformatio

The formal integrals of the regularized
The formal integrals of the regularized restricted planar problem of three bodies
✍ E. I. Timoshkova πŸ“‚ Article πŸ“… 1981 πŸ› John Wiley and Sons 🌐 English βš– 329 KB πŸ‘ 2 views

## Abstract The algorithm for constructing the first integrals of motion of the regularized restricted planar problem of three bodies is proposed. The integrals are constructed as the formal power series in one from variables. It is shown that coefficients of these series are trigonometric polynomi

On some new long periodic solutions of t
On some new long periodic solutions of the plane restricted three body problem
✍ Charles Conley πŸ“‚ Article πŸ“… 1963 πŸ› John Wiley and Sons 🌐 English βš– 787 KB

This paper represents results obtained under the sponsorship of the Army Research Office, US. Army, Contract No. DA-ARO-(D)-31-124-G159. Reproduction in whole or in part is permitted for any purpose of the United States Government. The integral is also known as the Jacobi integral.

Contact geometry of the restricted three
Contact geometry of the restricted three-body problem
✍ Peter Albers; Urs Frauenfelder; Otto Van Koert; Gabriel P. Paternain πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 260 KB

## Abstract We show that the planar circular restricted three‐body problem is of restricted contact type for all energies below the first critical value (action of the first Lagrange point) and for energies slightly above it. This opens up the possibility of using the technology of contact topology