Periodic orbits near ?4 for mass ratios near the critical mass ratio of routh

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1971 English Publisher:Springer Science and Business Media LLCJournal:Celestial Mechanics, volume 4, pages 99-109 (issn: 0008-8714, eissn: 1572-9478,

Copyright policy )

Authors: Meyer, K. R.; Schmidt, D. S.;

doi: 10.1007/bf01230325

Periodic orbits near ?4 for mass ratios near the critical mass ratio of routh

- Summary
- Subjects
- Metrics

Abstract

The Hamiltonian for orbits near ℒ4 and mass ratios near μ1 is brought into a normal form. A theorem shows that two coefficients in this expansion predict the behavior of the periodic orbits.

Related Organizations

University of Minnesota
United States
University of Minnesota System
United States
University of Maryland, College Park
United States
University of Maryland, College Park
United States
University of Minnesota Morris
United States

Keywords

Three-body problems, Celestial mechanics

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	63
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 1%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average