On Construction of Analytic Solutions to the Three Body Problem by Use of Computer Experiments

1989 ◽  
pp. 37-43
Author(s):  
M. J. Valtonen ◽  
S. Mikkola ◽  
T. Y. Huang
Keyword(s):  
Body Problem ◽  
Computer Experiments ◽  
Analytic Solutions ◽  
Three Body Problem ◽  
Three Body

On construction of analytic solutions to the three body problem by use of computer experiments

1988 ◽  
Vol 45 (1-3) ◽  
pp. 37-43 ◽  
Author(s):  
M. J. Valtonen ◽  
S. Mikkola ◽  
T. Y. Huang
Keyword(s):  
Body Problem ◽  
Computer Experiments ◽  
Analytic Solutions ◽  
Three Body Problem ◽  
Three Body

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.

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

scholarly journals On a planar circular restricted charged three-body problem

2015 ◽  
Vol 358 (1) ◽  
Author(s):  
Abimael Bengochea ◽  
Claudio Vidal
Keyword(s):  
Body Problem ◽  
Three Body Problem ◽  
Three Body

On the modified circular restricted three-body problem with variable mass

New Astronomy ◽  
2021 ◽  
Vol 84 ◽  
pp. 101510
Author(s):  
Md Sanam Suraj ◽  
Rajiv Aggarwal ◽  
Md Chand Asique ◽  
Amit Mittal
Keyword(s):  
Body Problem ◽  
Variable Mass ◽  
Restricted Three Body Problem ◽  
Three Body Problem ◽  
Three Body

Triple close approach in the three-body problem: A limit for the bounded orbits

1984 ◽  
Vol 32 (1) ◽  
pp. 15-28 ◽  
Author(s):  
Jacques Laskar ◽  
Christian Marchal
Keyword(s):  
Body Problem ◽  
Close Approach ◽  
Three Body Problem ◽  
Three Body
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