The circular restricted three-body problem in curvilinear coordinates
Sign Up to like & getrecommendations! Published in 2018 at "Celestial Mechanics and Dynamical Astronomy"
DOI: 10.1007/s10569-018-9870-4
Abstract: We derive the exact equations of motion for the circular restricted three-body problem in cylindrical curvilinear coordinates together with a number of useful analytical relations linking curvilinear coordinates and classical orbital elements. The equations of… read more here.
Keywords: circular restricted; curvilinear coordinates; restricted three; problem ... See more keywords
Deep Neural Networks-Based Efficient Mapping of Three-Dimensional Lunar Gravity Assist in the Circular Restricted Three-Body Problem
Sign Up to like & getrecommendations! Published in 2025 at "IEEE Transactions on Aerospace and Electronic Systems"
DOI: 10.1109/taes.2025.3567278
Abstract: Lunar gravity assists (LGAs) are widely utilized in mission designs to potentially reduce transfer costs, particularly in noncoplanar cases requiring inclination adjustments. The commonly used patched-conic model and Keplerian map have low accuracy in designing… read more here.
Keywords: circular restricted; restricted three; gravity; three body ... See more keywords
Noncollision Periodic Solutions for Circular Restricted Planar Newtonian Four-Body Problems
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DOI: 10.3390/math13183015
Abstract: We study a class of circular restricted planar Newtonian four-body problems in which three masses are positioned at the vertices of a Lagrange equilateral triangle configuration, each mass revolving around the center of mass in… read more here.
Keywords: planar newtonian; four body; restricted planar; circular restricted ... See more keywords