Super central configurations of the three-body problem under the inverse integer power law

2011 ◽  
Vol 52 (9) ◽  
pp. 092901 ◽  
Author(s):  
Zhifu Xie ◽  
Kenyaita Hodge ◽  
Krystolyn Henderson ◽  
Michael Westbrook
Keyword(s):  
Power Law ◽  
Body Problem ◽  
Central Configurations ◽  
Three Body Problem ◽  
Integer Power ◽  
Three Body

Central Configurations in the Schwarzschild Three Body Problem

2012 ◽  
Vol 12 (1) ◽  
pp. 183-206 ◽  
Author(s):  
John Alexander Arredondo ◽  
Ernesto Perez-Chavela
Keyword(s):  
Body Problem ◽  
Central Configurations ◽  
Three Body Problem ◽  
Three Body

scholarly journals Chaos and Lévy flights in the three-body problem

2020 ◽  
Vol 497 (3) ◽  
pp. 3694-3712
Author(s):  
Viraj Manwadkar ◽  
Alessandro A Trani ◽  
Nathan W C Leigh
Keyword(s):  
Power Law ◽  
Body Problem ◽  
Lifetime Distribution ◽  
Lévy Flight ◽  
Three Body Problem ◽  
Power Law Distribution ◽  
Lévy Flights ◽  
Levy Flight ◽  
Levy Flights ◽  
Three Body

ABSTRACT We study chaos and Lévy flights in the general gravitational three-body problem. We introduce new metrics to characterize the time evolution and final lifetime distributions, namely Scramble Density $\mathcal {S}$ and the Lévy flight (LF) index $\mathcal {L}$, that are derived from the Agekyan–Anosova maps and homology radius $R_{\mathcal {H}}$. Based on these metrics, we develop detailed procedures to isolate the ergodic interactions and Lévy flight interactions. This enables us to study the three-body lifetime distribution in more detail by decomposing it into the individual distributions from the different kinds of interactions. We observe that ergodic interactions follow an exponential decay distribution similar to that of radioactive decay. Meanwhile, Lévy flight interactions follow a power-law distribution. Lévy flights in fact dominate the tail of the general three-body lifetime distribution, providing conclusive evidence for the speculated connection between power-law tails and Lévy flight interactions. We propose a new physically motivated model for the lifetime distribution of three-body systems and discuss how it can be used to extract information about the underlying ergodic and Lévy flight interactions. We discuss ejection probabilities in three-body systems in the ergodic limit and compare it to previous ergodic formalisms. We introduce a novel mechanism for a three-body relaxation process and discuss its relevance in general three-body systems.

scholarly journals Central configurations in the charged three body problem

1996 ◽  
pp. 137-153 ◽  
Author(s):  
Ernesto Perez-Chavela ◽  
Donald G. Saari ◽  
Antoni Susin ◽  
Zhiming Yan
Keyword(s):  
Body Problem ◽  
Central Configurations ◽  
Three Body Problem ◽  
Three Body

Rigid-Rotator and Fixed-Shape Solutions to the Coulomb Three-Body Problem

1997 ◽  
Vol 22 (1) ◽  
pp. 37-60 ◽  
Author(s):  
A. Santander ◽  
J. Mahecha ◽  
F. Pérez
Keyword(s):  
Body Problem ◽  
Three Body Problem ◽  
Rigid Rotator ◽  
Three Body
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