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In this paper, we study the extension of the minimizing equal mass parallelogram solutions which was derived by Chen in 2001 2. Chen's solution was minimizing for one quarter of the period 0, T, where numerical integration had been used in his proof. In this paper we extend Chen's solution in the reduced space to 0, 4T and we show that this extension is also minimizing over the intervals 0, 2T and 0, 4T. The minimizing property of the extension is proved without using numerical integration.
Mansur et al. (Thu,) studied this question.