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Optimization of Bi-Elliptic transfer with plane change—Part I
Authors:Osman M Kamel
Institution:1. School of Aerospace, Tsinghua University, Beijing, 100084, China;2. China Academy of Space Technology, Beijing, 100094, China;1. Rocket-Space Corporation ‘Energia’, Korolev, Moscow Region, 141070, Russia;2. Special Machinery Department, Bauman Moscow State Technical University, Moscow, 105005, Russia
Abstract:We introduce a more advanced analysis than that of Roth concerning the following two points of view: (1) We attempt to find an analytical solution of the optimization problem instead of Roth's iterative solution. That means a stress is operated on the analytical approach. (2) We consider the terminal orbits to be elliptic and not circular as Roth assumed. This is a generalization of the problem. We shall complete the solution of this Bi-Elliptic transfer with plane change problem in the second part of the present research paper (I).
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