Homotopy-based optimal trajectory design to transfer from Earth orbit to halo orbits

Heydari, Ghasem; Kiani, Maryam; Pourtakdost, S. Hossein; Sayanjali, Mohammad

doi:10.30699/jsst.2020.1195

Document Type : Research Paper

Authors

¹ Department of Aerospace engineering, Sharif University of Technology, Tehran IRAN

² Department of Aerospace Engineering, Sharif university of technology, Tehran, IRAN

³ Department of Aerospace Engineering Sharif University of Technology, Tehran, Iran

⁴ Space System Research center, Iran Space Center, Tehran, Iran

https://doi.org/10.30699/jsst.2020.1195

Abstract

Halo orbits are of importance for observation and study of the space due to their specific characteristics including the orbital position and the periodic motion. In this regards, present paper has focused on optimal trajectory planning to transfer to halo orbits. To this aim, homotopy approach has been adopted for optimal trajectory design. This approach has improved the convergence rate and insensitivity of the problem to initial guess. The designed trajectory transfers a spacecraft orbiting the Earth to a Halo orbit around Lagrangian point L1 of the Earth-moon restricted three-body system. The propulsion system has been assumed to be low thrust with constant specific impulse. Homotopy approach has a broad domain of applicability and methods in which continuation method has been employed here among them. The optimal designed trajectory minimizes the fuel consumption via transforming solution of the minimum energy problem utilizing the homotopy approach. This approach simplifies solution of the complex problem of minimum fuel indeed.

Keywords

20.1001.1.20084560.1399.13.3.3.7

Main Subjects

System Design, Space Propulsion and Space System Simulation

References

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Space Science and Technology

Homotopy-based optimal trajectory design to transfer from Earth orbit to halo orbits

References

References

Volume 13, Issue 3 - Serial Number 44
September 2020
Pages 25-38

Homotopy-based optimal trajectory design to transfer from Earth orbit to halo orbits

References

References

Volume 13, Issue 3 - Serial Number 44September 2020Pages 25-38

Volume 13, Issue 3 - Serial Number 44
September 2020
Pages 25-38