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Theory and Applications of Optimal Finite Thrust Orbital Transfers

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Modeling and Optimization in Space Engineering

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 144))

Abstract

The main author proposed a mission for the first time with a LEO to GEO orbital transfer for telecommunication application (GovSatCom). This mission will allow the use of small launchers to bring, at a lower cost, satellites of medium and large size at Geostationary orbit. This motivated the authors to develop a mathematical model in order to find the optimal thrust strategy for very long orbital transfers of satellites with electric thrusters. During the transfer, the satellite is supposed capable to steer the thrust vector in any direction. To solve the optimization problem, an averaging technique has been adopted. The authors discussed and solved this problem including the J 2 and eclipse effects. Moreover some external constraints are included in the problem in order to avoid simulations with unrealistic orbital transfers (i.e., too low perigee altitude). Referring to the papers already published by the authors, this last one is a synthetic review of the theory and the applications. After a mathematical introduction of the theoretical notions, new numerical results are presented.

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Correspondence to L. Mazzini or M. Cerreto .

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Mazzini, L., Cerreto, M. (2019). Theory and Applications of Optimal Finite Thrust Orbital Transfers. In: Fasano, G., Pintér, J. (eds) Modeling and Optimization in Space Engineering . Springer Optimization and Its Applications, vol 144. Springer, Cham. https://doi.org/10.1007/978-3-030-10501-3_10

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