Results 11 to 20 of about 19,620,891 (227)
IEEE Access, 2020 Finding a solution to a low-thrust minimum-fuel transfer trajectory optimization problem in the circular restricted three-body problem (CRTBP) is already known to be extremely difficult due to the strong nonlinearity and the discontinuous bang-bang ...
Xun Pan, Binfeng Pan
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Dynamics near equilibria in the Jupiter-Europa system using the Lie-series technique [PDF]
Scientific ReportsInvestigating the dynamics near planetary satellites is crucial for space mission design. This work investigates the dynamics around the equilibrium points in the Jupiter-Europa system in the restricted three-body problem framework. The current dynamical
Dina Tarek +3 more
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The behavior of a satellite trajectory near the equilibrium points of sun-earth system and its control [PDF]
Theoretical and Applied Mechanics, 2023 In this paper, the behavior of a satellite trajectory near the equilibrium points of the Sun-Earth system is studied. The equations describing the motion of the satellite in the circular restricted three body problem for the Sun-Earth system, are ...
Shalby Lina A., Ali Noha A.
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New periodic orbits in the solar sail three-body problem [PDF]
, 2011 We identify displaced periodic orbits in the circular restricted three-body problem, wher the third (small) body is a solar sail. In particular, we consider solar sail orbits in the earth-sun system which are high above the exliptic plane.
Biggs, J.D. +8 more
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Analysis of Resonance Transition Periodic Orbits in the Circular Restricted Three-Body Problem
Applied Sciences, 2022 Resonance transition periodic orbits exist in the chaotic regions where the 1:1 resonance overlaps with nearby interior or exterior resonances in the circular restricted three-body problem (CRTBP).
Shanshan Pan, Xiyun Hou
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New periodic orbits in the solar sail restricted three body problem [PDF]
, 2008 In this paper we consider periodic orbits of a solar sail in the Earth-Sun restricted three-body problem. In particular, we consider orbits which are high above the ecliptic plane, in contrast to the classical Halo orbits about the collinear equilibria ...
Biggs, J.D., Waters, Thomas, McInnes, C.
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Low thrust propulsion in a coplanar circular restricted four body problem [PDF]
, 2012 This paper formulates a circular restricted four body problem (CRFBP), where the three primaries are set in the stable Lagrangian equilateral triangle configuration and the fourth body is massless.
Biggs, James, Ceccaroni, Marta
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Mathematics, 2021 In this paper, we develop a method to solve for periodic orbits, i.e., Lyapunov and Halo orbits, using a functional interpolation scheme called the Theory of Functional Connections (TFC).
Hunter Johnston +2 more
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New exact particular analytical solutions of the triangular restricted three-body problem
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 The triangular restricted three-body problem is studied in special non-inertial central reference frame with origin at forces centre of this problem. Masses are arbitrary values. We studied the solutions of dimensionless differential equations of motion
M.Zh. Minglibayev, Т.М. Zhumabek
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On the Periodic Orbits of the Perturbed Two- and Three-Body Problems
Galaxies, 2023 In this work, a perturbed system of the restricted three-body problem is derived when the perturbation forces are conservative alongside the corresponding mean motion of two primaries bodies.
Elbaz I. Abouelmagd +2 more
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