Triple approaches in the plane isosceles equal-mass three-body problem

2001 ◽  
Vol 27 (10) ◽  
pp. 678-682
Author(s):  
V. V. Orlov ◽  
A. V. Petrova ◽  
A. I. Martynova
Keyword(s):  
Body Problem ◽  
Equal Mass ◽  
Three Body Problem ◽  
Three Body

scholarly journals Saari’s homographic conjecture for a planar equal-mass three-body problem under the Newton gravity

2012 ◽  
Vol 45 (34) ◽  
pp. 345202 ◽  
Author(s):  
Toshiaki Fujiwara ◽  
Hiroshi Fukuda ◽  
Hiroshi Ozaki ◽  
Tetsuya Taniguchi
Keyword(s):  
Body Problem ◽  
Equal Mass ◽  
Three Body Problem ◽  
Three Body

scholarly journals New periodic orbits in the planar equal-mass three-body problem

2018 ◽  
Vol 38 (4) ◽  
pp. 2187-2206
Author(s):  
Rongchang Liu ◽  
◽  
Jiangyuan Li ◽  
Duokui Yan
Keyword(s):  
Periodic Orbits ◽  
Body Problem ◽  
Equal Mass ◽  
Three Body Problem ◽  
Three Body

scholarly journals Symbolic Dynamics, Mixing and Entropy in the Three-Body Problem

2016 ◽  
Vol 25 (3) ◽  
Author(s):  
A. Mylläri ◽  
V. Orlov ◽  
A. Chernin ◽  
A. Martynova ◽  
T. Mylläri
Keyword(s):  
Symbolic Dynamics ◽  
Body Problem ◽  
Initial Conditions ◽  
Free Fall ◽  
Equal Mass ◽  
Binary Collision ◽  
Three Body Problem ◽  
Symbolic Sequences ◽  
Three Body ◽  
Sensitivity To Initial Conditions

AbstractWe use symbolic dynamics in the classic equal-mass free-fall three-body problem. Different methods for constructing symbolic sequences (in the process of numerical integration of trajectories) allow one to demonstrate (and illustrate on the Agekian-Anosova map) sensitivity to initial conditions, estimate entropies (Shannon, Markov and others), plot binary collision curves, reveal systems with intensive triple interactions (interplay), etc.

scholarly journals Saari’s homographic conjecture for a planar equal-mass three-body problem under a strong force potential

2012 ◽  
Vol 45 (4) ◽  
pp. 045208 ◽  
Author(s):  
Toshiaki Fujiwara ◽  
Hiroshi Fukuda ◽  
Hiroshi Ozaki ◽  
Tetsuya Taniguchi
Keyword(s):  
Body Problem ◽  
Equal Mass ◽  
Three Body Problem ◽  
Strong Force ◽  
Three Body ◽  
Force Potential

On the three-body problem

1973 ◽  
Vol 73 (1) ◽  
pp. 177-182 ◽  
Author(s):  
J. Lekner
Keyword(s):  
Ground State ◽  
Body Problem ◽  
Semiclassical Limit ◽  
Analytic Solutions ◽  
Equal Mass ◽  
Three Body Problem ◽  
Interacting Particles ◽  
Exact Ground State ◽  
General Force ◽  
Three Body

AbstractWe consider the ground state of a system of three interacting particles of equal mass. An integro-differential equation is obtained for the optimum pair function f in the product wavefunction Ψ(123) = f(12)f(13)f(23). The solution for harmonic forces reproduces the known exact ground state. Approximate analytic solutions are obtained for inverse-square forces, and for a general force law in the semiclassical limit.

Analysis of the neighborhood of the 2: 1 resonance in the equal-mass three-body problem

2005 ◽  
Vol 31 (3) ◽  
pp. 213-219 ◽  
Author(s):  
A. I. Martynova ◽  
V. V. Orlov ◽  
L. L. Sokolov
Keyword(s):  
Body Problem ◽  
Equal Mass ◽  
Three Body Problem ◽  
Three Body
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