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Modeling and Optimization in Space Engineering pp 459–478Cite as

A Catalogue of Parametric Time-Optimal Transfers for All-Electric GEO Satellites

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

Abstract

In this chapter a catalogue of time-optimal low-thrust transfers from arbitrary departure orbits to the geostationary orbit is constructed. This catalogue is obtained by solving a multitude of optimal control problems with a combination of simple and multiple shooting techniques, augmented by a multi-dimensional homotopy. Modified equinoctial elements are used to describe the satellite dynamics, and state-of-the-art values for thrust and specific impulse are considered. The ultimate outcome consists of a synthetic law for transfer time, and thus cost, as function of the orbit injection parameters and engine figures. This law can be consulted in the early stages of mission design.

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Acknowledgements

The authors would like to acknowledge Natividad Ramos Morón whose MSc Thesis inspired the work described in this chapter and Juan Luis Gonzalo for reviewing LT2O and making it more efficient.

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Authors and Affiliations

  1. Department of Aerospace Science and Technology, Politecnico di Milano, Milano, Italy

    Francesco Topputo & Simone Ceccherini

Authors
  1. Francesco Topputo
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  2. Simone Ceccherini
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Corresponding author

Correspondence to Francesco Topputo .

Editor information

Editors and Affiliations

  1. Thales Alenia Space, Turin, Italy

    Giorgio Fasano

  2. Department of Industrial and Systems Engineering, Lehigh University , Bethlehem, PA, USA

    János D. Pintér

Appendix

Appendix

Tables 2, 3, 4 and 5 display the curve fitting parameters referred to Equation (19) and the relative coefficients of determination R2.

Table 3 Table 2 of 4, referring to Equation (19)
Full size table
Table 4 Table 3 of 4, referring to Equation (19)
Full size table
Table 5 Table 4 of 4, referring to Equation (19)
Full size table

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Topputo, F., Ceccherini, S. (2019). A Catalogue of Parametric Time-Optimal Transfers for All-Electric GEO Satellites. 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_17

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