Results 11 to 20 of about 14,560 (262)
The Sitnikov's problem is a special case of restricted three body problem if the primaries are of equal masses (m1 = m2 = 1/2) moving in circular orbits under Newtonian force of attraction and the third body of mass m3 moves along the line perpendicular
RR Thapa
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GEOMETRY OF HOMOCLINIC CONNECTIONS IN A PLANAR CIRCULAR RESTRICTED THREE-BODY PROBLEM [PDF]
The stable and unstable invariant manifolds associated with Lyapunov orbits about the libration point L1between the primaries in the planar circular restricted three-body problem with equal masses are considered. The behavior of the intersections of these invariant manifolds for values of the energy between that of L1and the other collinear libration ...
Marian Gidea, Josep J. Masdemont
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We illustrate the chaotic nature of the circular restricted three-body problem from the perspective of the bifurcation diagram with respect to the mass ratio parameter.
Fabao Gao, Yongqing Wang
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Continuous thrust tangential or perpendicular to the flight direction on a given transfer trajectory in planar Circular Restricted 3-Body Problem [PDF]
This paper presents a systematic study for analytical determination of thrust acceleration magnitude on a given trajectory for a case where the thrust is tangential or perpendicular to the flight direction.
Mircea DUMITRACHE
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Design of a Low-Energy Earth-Moon Flight Trajectory Using a Planar Auxiliary Problem
The paper presents a sufficiently simple technique for designing a low-energy flight trajectory of a spacecraft (SC) from the Earth to the Moon with insertion into a low circular orbit of the latter.
Ilya Nikolichev, Vladimir Sesyukalov
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Multi-Step Control of Chaos in the Application of Earth-Moon Orbit Transfer [PDF]
A multi-step control of chaos method is proposed in this paper to reduce the flight time in the chaotic region of Earth-Moon low-energy orbit transfer.
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Some asteroids flying close to Earth may pose a threat of impact. Among them, the structural and dynamical characteristics of rubble-pile asteroids can be changed because of the tidal force of the Earth in this process.
Xiangyuan Zeng +3 more
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Phasing Maneuver Analysis from a Low Lunar Orbit to a Near Rectilinear Halo Orbit
The paper describes the preliminary design of a phasing trajectory in a cislunar environment, where the third body perturbation is considered non-negligible.
Giordana Bucchioni, Mario Innocenti
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Equilibrium dynamics of the restricted 3-body problem with prolate primaries
In this paper, the equilibrium dynamics of the circular restricted (2+1)-body problem with two elongated main bodies is investigated. More precisely, the influence of the mass parameter and the non-sphericity parameter on the position and stability of ...
H.I. Alrebdi +2 more
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Circular and Elliptic Restricted Three Body Problems -A Comparison
The elliptic restricted three body problem has been well studied. However, the previous formulations of the problem have used a rotating coordinate system to keep the positions of the primary and secondary on the x-axis. This requires the rotation rate of the rotating coordinate system to speed up and slow down.
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