Solution of a Three‐Body Problem in One Dimension

1969 ◽  
Vol 10 (12) ◽  
pp. 2191-2196 ◽  
Author(s):  
F. Calogero
Keyword(s):  
Body Problem ◽  
One Dimension ◽  
Three Body Problem ◽  
Three Body

An exactly soluble three-body problem in one dimension

1980 ◽  
Vol 58 (6) ◽  
pp. 719-728 ◽  
Author(s):  
C. Jung
Keyword(s):  
Closed Form ◽  
Bound States ◽  
Body Problem ◽  
Potential Functions ◽  
One Dimension ◽  
Three Body Problem ◽  
One Dimensional ◽  
Continuum States ◽  
Step Functions ◽  
Three Body

An exactly soluble one-dimensional three-body problem is presented, in which the interaction between the particles consists of local two-body potentials between each two particles. Infinitely high step functions are chosen for the form of the three potential functions. This interaction allows only three-body bound states and no continuum states. We have considered three different choices of the mass ratios of the three particles and we give formulas in closed form for the energies and for the wavefunctions of all states.

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

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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