Random walk in the three-body problem and applications

Edward Belbruno

doi:10.3934/dcdss.2008.1.519

Article Contents

2008, Volume 1, Issue 4: 519-540. Doi: 10.3934/dcdss.2008.1.519

This issue Previous Article On the spatial central configurations of the 5--body problem and their bifurcations Next Article Symbolic dynamics of the elliptic rectilinear restricted 3--body problem

Random walk in the three-body problem and applications

Edward Belbruno^1,

1.
Department of Astrophysical Sciences, Princeton University, Princeton, New Jersey 08544

Received: March 31, 2008

Revised: June 30, 2008

Published: November 2008

Abstract Related Papers Cited by

Abstract

The process of random walk is described, in general, and how it can be applied in the three-body problem in a systematic manner. Several applications are considered. The main one which is a focus of this paper is on the evolution of horseshoe orbits and their transition to breakout motion in the restricted three-body problem. This connection is related to their use for an Earth-impactor in a theory on the formation of the Moon. We briefly discuss another application on the instability of asteroid orbits.

Keywords:

Mathematics Subject Classification: Primary: 37N05, 60G35, 70F05, Secondary: 37M05, 37M20,37J20, 37J25.

Citation:

Article Metrics

HTML views() PDF downloads(172) Cited by(0)

Random walk in the three-body problem and applications

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Random walk in the three-body problem and applications

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content