Lissajous motion near Lagrangian point $$ L_{2} $$ in radial solar sail |
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Authors: | Arun Kumar Yadav " target="_blank">Badam Singh Kushvah Uday Dolas |
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Institution: | 1.Department of Applied Mathematics,Indian Institute of Technology (ISM),Dhanbad,India;2.C. S. A. Govt. P. G. College,Sehore,India |
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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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