Search results for: Hamiltoian

1 Extensions to Chen's Minimizing Equal Mass Paralellogram Solutions

Authors: Abdalla Manur, Daniel Offin, Alessandro Arsie

Abstract:

In this paper, we study the extension of the minimizing equal mass parallelogram solutions which was derived by Chen in 2001. Chen’s solution was minimizing for one quarter of the period [0; T], where numerical integration had been used in his proof. This paper focuses on extending the minimization property to intervals of time [0; 2T] and [0; 4T].

Keywords: action, Hamiltoian, N-body, symmetry

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