Controlling the libration point orbits for CRTBP with non-ideal solar sail and albedo effect
Authors
Arun Kumar Yadav, Badam Singh Kushvah, Uday Dolas
Abstract
Libration point orbits around collinear points present numerous properties which are worthwhile for space missions. Because orbits around these points are exponentially unstable, station-keeping strategies aim for periodic motion.This paper considers the problem of Lagrangian point stabilisation in the Sun-Jupiter system with non-ideal solar sail and albedo effect. Energy shaping and dissipation injection are used to stabilize the Lagrangian points, which are originally unstable. Through shaping of Hamiltonian (energy) and dissipation injection at the designed equilibrium point, we obtained that a closed-loop system is stable and asymptotic stable respectively. We discover that the orbits are stable under port- Hamiltonian control using best fit results.
Keywords
albedo effect, dissipation injection, energy shaping, non-ideal solar sail, port-hamiltonian method
Citation
- Journal: Chaos, Solitons & Fractals
- Year: 2021
- Volume: 152
- Issue:
- Pages: 111387
- Publisher: Elsevier BV
- DOI: 10.1016/j.chaos.2021.111387
BibTeX
@article{Yadav_2021,
title={{Controlling the libration point orbits for CRTBP with non-ideal solar sail and albedo effect}},
volume={152},
ISSN={0960-0779},
DOI={10.1016/j.chaos.2021.111387},
journal={Chaos, Solitons \& Fractals},
publisher={Elsevier BV},
author={Yadav, Arun Kumar and Kushvah, Badam Singh and Dolas, Uday},
year={2021},
pages={111387}
}References
- Zotos EE, Chen W, Abouelmagd EI, Han H (2020) Basins of convergence of equilibrium points in the restricted three-body problem with modified gravitational potential. Chaos, Solitons & Fractals 134:109704. https://doi.org/10.1016/j.chaos.2020.10970 – 10.1016/j.chaos.2020.109704
- Macdonald, (2014)
- Dunham DW, Roberts CE (2001) Stationkeeping Techniques for Libration-Point Satellites. J of Astronaut Sci 49(1):127–144. https://doi.org/10.1007/bf0354634 – 10.1007/bf03546340
- Farquhar, The control and use of libration-point satellites. Natl Aeronaut Space Adm (1970)
- van der Schaft A, Jeltsema D (2014) Port-Hamiltonian Systems Theory: An Introductory Overview. Foundations and Trends® in Systems and Control 1(2–3):173–378. https://doi.org/10.1561/260000000 – 10.1561/2600000002
- Szebehely, Theory of Orbits: The Restricted Problem of Three Bodies. (1967)
- Dachwald B, Mengali G, Quarta AA, Macdonald M (2006) Parametric Model and Optimal Control of Solar Sails with Optical Degradation. Journal of Guidance, Control, and Dynamics 29(5):1170–1178. https://doi.org/10.2514/1.2031 – 10.2514/1.20313
- Yao C, Xu M, Luo T (2018) Dynamics and Control for Nonideal Solar Sails Around Artificial Lagrangian Points. Journal of Spacecraft and Rockets 55(3):575–585. https://doi.org/10.2514/1.a3399 – 10.2514/1.a33990
- Gong S, Li J, Simo J (2014) Orbital Motions of a Solar Sail Around the L2 Earth–Moon Libration Point. Journal of Guidance, Control, and Dynamics 37(4):1349–1356. https://doi.org/10.2514/1.g00006 – 10.2514/1.g000063
- Simo J, McInnes CR (2009) Solar sail orbits at the Earth–Moon libration points. Communications in Nonlinear Science and Numerical Simulation 14(12):4191–4196. https://doi.org/10.1016/j.cnsns.2009.03.03 – 10.1016/j.cnsns.2009.03.032
- Liu C, Dong L (2019) Stabilization of Lagrange points in circular restricted three-body problem: A port-Hamiltonian approach. Physics Letters A 383(16):1907–1914. https://doi.org/10.1016/j.physleta.2019.03.03 – 10.1016/j.physleta.2019.03.033
- Cichan, Optimal trajectories for non-ideal solar sails. Adv Astronaut Sci (2002)
- Lou Z, Wang Y (2019) Robust Station-Keeping Control of Sun-Earth/Moon Libration Point Orbits Using Electric Propulsion. J Aerosp Eng 32(2). https://doi.org/10.1061/(asce)as.1943-5525.000097 – 10.1061/(asce)as.1943-5525.0000971
- Lü J, Lu Q, Wang Q (2013) Orbit control strategy for Lagrange point orbits based on an analytical method. Sci China Phys Mech Astron 56(4):830–839. https://doi.org/10.1007/s11433-013-5051- – 10.1007/s11433-013-5051-3
- using linear control logic. Astronomy and Computing 35:100462. https://doi.org/10.1016/j.ascom.2021.10046 – 10.1016/j.ascom.2021.100462
- Soldini S, Masdemont JJ, Gómez G (2019) Dynamics of Solar Radiation Pressure–Assisted Maneuvers Between Lissajous Orbits. Journal of Guidance, Control, and Dynamics 42(4):769–793. https://doi.org/10.2514/1.g00372 – 10.2514/1.g003725
- Fu B, Sperber E, Eke F (2016) Solar sail technology—A state of the art review. Progress in Aerospace Sciences 86:1–19. https://doi.org/10.1016/j.paerosci.2016.07.00 – 10.1016/j.paerosci.2016.07.001
- Niccolai L, Mengali G, Quarta AA, Caruso A (2020) Feedback control law of solar sail with variable surface reflectivity at Sun-Earth collinear equilibrium points. Aerospace Science and Technology 106:106144. https://doi.org/10.1016/j.ast.2020.10614 – 10.1016/j.ast.2020.106144
- Yousuf S, Kishor R (2019) Effects of the albedo and disc on the zero velocity curves and linear stability of equilibrium points in the generalized restricted three-body problem. Monthly Notices of the Royal Astronomical Society 488(2):1894–1907. https://doi.org/10.1093/mnras/stz166 – 10.1093/mnras/stz1668
- De Queiroz, (2012)
- Khalil, (2002)
- Marchal, (2012)