Fuel-optimal low-thrust CAM with eclipse constraints

Fuel-optimal low-thrust CAM with eclipse constraints

Eduardo Maria Polli, Juan Luis Gonzalo, Camilla Colombo

download PDF

Abstract. This works presents an optimal control direct method to design fuel-optimal low-thrust Collision Avoidance Manoeuvres (CAMs), imposing return to nominal conditions and including eclipse constraints. The methodology exploits the Hermite-Simpon integration scheme to impose the dynamics and the Squared Mahalanobis Distance (SMD) to ensure a collision probability lower than a prescribed value. The choice of using a direct method to solve the Optimal Control Problem (OCP) is justified by the inclusion of orbital perturbations.

Keywords
Collision Avoidance Manoeuvre, Low Thrust, Optimal Control, Collision Probability, Space Traffic Management

Published online 6/1/2024, 4 pages
Copyright © 2024 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: Eduardo Maria Polli, Juan Luis Gonzalo, Camilla Colombo, Fuel-optimal low-thrust CAM with eclipse constraints, Materials Research Proceedings, Vol. 42, pp 158-161, 2024

DOI: https://doi.org/10.21741/9781644903193-35

The article was published as article 35 of the book Aerospace Science and Engineering

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

References
[1] Turco, F., Traub, C., Gaißer, S. et al. Analysis of Collision Avoidance Manoeuvres Using Aerodynamic Drag for the Flying Laptop Satellite. Aerotec. Missili Spaz. 103, 61–71 (2024). https://doi.org/10.1007/s42496-023-00183-4
[2] J.A. Sims, S.N. Flanagan, Preliminary Design of Low-Thrust Interplanetary Missions, Paper AAS 99-338 Astrodynamics Specialist Conference, Girdwood, Alaska (16-19 August 1999)
[3] C. Bombardelli, J. Hernando-Ayuso, Optimal Impulsive Collision Avoidance in Low Earth Orbit, Journal of Guidance, Control, and Dynamics, Vol. 38, No. 2, (2015) 217–225. https://doi.org/10.2514/1.G000742
[4] J.L. Gonzalo, C. Colombo, P. Di Lizia, Analytical Framework for Space Debris Collision Avoidance Maneuver Design, Journal of Guidance, Control, and Dynamics, Vol. 44, No. 3, (2021) 469–487. https://doi.org/10.2514/1.G005398
[5] A. De Vittori, M.F. Palermo, P. Di Lizia, R. Armellin, Low-Thrust Collision Avoidance Maneuver Optimization, Journal of Guidance, Control, and Dynamics, Vol. 45, No. 10, (2022), 1815–1829. https://doi.org/10.2514/1.G006630.
[6] M. Maestrini, A. De Vittori, J.L. Gonzalo, C. Colombo, P. Di Lizia, J. Míguez Arenas, M. Sanjurjo Rivo, A. Diez Martín, P. Gago Padreny, D. Escobar Antón, ELECTROCAM: Assessing the Effect of Low Thrust Uncertainties on Orbit Propagation. Paper 2nd ESA NEO and debris detection conference, Darmstadt, Germany (24-26 January 2023)
[7] A. De Vittori, G. Dani, P. Di Lizia, R. Armellin, Low-Thrust Collision Avoidance Design for LEO Missions With Return To Nominal Orbit, AAS/AIAA Space Flight Mechanics Meeting, Austin, Texas, (2023) 1–18.
[8] F.K. Chan, Spacecraft collision probability, Chapter 6. The Aerospace Corporation, El Segundo, California, United States of America, (2008) 13–97, https://doi.org/10.2514/4.989186
[9] Y. Wang, F. Topputo, Indirect optimization for low-thrust transfers with earth shadow eclipses, 31st AAS/AIAA Space Flight Mechanics Meeting, (1-4 February 2021) Virtual.