Abstract
An attempt was made to study the dynamics close to the collinear libration point \( L_{2} \) of the radial solar sail circular-restricted three-body problem (RSCRTBP) in the Sun–Jupiter System, where the third massless body is a solar sail. We analyse the qausi-periodic (Lissajous solutions) orbits about the libration point \( L_{2} \). The Lindstedt–Poincaré approximation for the qausi-periodic orbits was used for numerical simulations. We utilized linear quadratic regulator (LQR) to stabilize the full nonlinear model, and linear state-feedback controller was designed to stabilize the trajectory.
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Acknowledgements
We are thankful to the Science and Engineering Research Board, Government of India, for providing financial support through SERB research project No.-EMR/2016/001145.
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Yadav, A.K., Kushvah, B.S. & Dolas, U. Lissajous motion near Lagrangian point \( L_{2} \) in radial solar sail. J Astrophys Astron 39, 72 (2018). https://doi.org/10.1007/s12036-018-9563-0
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DOI: https://doi.org/10.1007/s12036-018-9563-0