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Saari's homographic conjecture for planar equal-mass three-body problem under a strong force potential
Saari's homographic conjecture planar equal-mass three-body problem Mathematical Physics
2011/9/1
Abstract: Donald Saari conjectured that the $N$-body motion with constant configurational measure is a motion with fixed shape. Here, the configurational measure $\mu$ is a scale invariant product of ...
Post-Newtonian effects on Lagrange's equilateral triangular solution for the three-body problem
Post-Newtonian effects Lagrange's equilateral triangular solution three-body problem
2010/12/20
We investigate the post-Newtonian effects on Lagrange’s equilateral triangular solution for the three-body problem. It is concluded that the equilateral triangular configuration can satisfy the post-N...
Uniqueness of collinear solutions for the relativistic three-body problem
Uniqueness of collinear solutions relativistic three-body problem
2010/12/20
Continuing work initiated in an earlier publication [Yamada, Asada, Phys. Rev. D 82, 104019
(2010)], we investigate collinear solutions to the general relativistic three-body problem. We prove the un...
Analytical Structure Matching and Very Precise Approach to the Coulombic Quantum Three-Body Problem
quantum three-body problem analytical structure matching the least square method asymptotic series Bartlett-Fock expansion
2007/8/15
2001Vol.35No.1pp.71-77DOI:
Analytical Structure Matching and Very Precise Approach to the Coulombic Quantum Three-Body Problem
TAN Shi-Na
Institute of Theoretical Physic...