Qualitative Study of N-Body Problem: Unitized Momentum Transformation and its Application

作者: Qui-Dong Wang , Zhao-hua Yi , Jing yong Cheng

DOI: 10.1007/978-94-009-4732-0_7

关键词: AstrophysicsGravitational singularitySingularityManifoldEquations of motionClassical mechanicsn-body problemAlgebraMany-body problemMomentumPhysicsTransformation (function)

摘要: In the qualitative study of N-Body Problem, a new type blow up transformation called Unitized Momentum Transformation has been introduced to overcome difficulty singularities in problem global solution. The concepts total collision manifold defined by McGehee have extended.

参考文章(2)
Richard McGehee, Triple collision in the collinear three-body problem Inventiones Mathematicae. ,vol. 27, pp. 191- 227 ,(1974) , 10.1007/BF01390175
Martin C. Gutzwiller, Bernoulli sequences and trajectories in the anisotropic Kepler problem Journal of Mathematical Physics. ,vol. 18, pp. 806- 823 ,(1977) , 10.1063/1.523310