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circular restricted three-body problem

Solar Sail Equilibrium Orbits in the Circular Restricted Three Body Problem with Oblateness

Solar Sail Equilibrium Orbits in the Circular Restricted Three Body Problem with Oblateness

... The restricted three-body problem with the larger primary a source of radiation and the smaller primary an ob- late spheroid is ...the circular restricted ...

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Stability of the Sitnikov's circular restricted three body problem when the primaries are oblate spheroid

Stability of the Sitnikov's circular restricted three body problem when the primaries are oblate spheroid

... Sitnikov's circular restricted three body problem has been checked when the primaries are oblate ...third body m 3 has been ...

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Chaos in Planar, Circular, Restricted Three Body Problem

Chaos in Planar, Circular, Restricted Three Body Problem

... the restricted three-body problem is also the most challenging! Furthermore, only some resonances lead to chaos in this case; we have se- lected the 7:4 resonance (the massless particle ...

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Numerical study of the linear and nonlinear dynamics near l1 and l2 points in the earth moon system

Numerical study of the linear and nonlinear dynamics near l1 and l2 points in the earth moon system

... the Circular Restricted Three-Body Problem is non- linear dynamics, there is no general, easy analytical ...give restricted analytical solution, and some numerical methods, such ...

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Restricted Three Body Problem in Different Coordinate Systems

Restricted Three Body Problem in Different Coordinate Systems

... In this paper of the series, the equations of motion for the spatial circular restricted three-body problem in sidereal spherical coordinates system were established. Initial value ...

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Chaos synchronization between two identical restricted three body problem via active control and adaptive control method

Chaos synchronization between two identical restricted three body problem via active control and adaptive control method

... the circular restricted three body problem such as the Euler [13], Hill [14], Poincare [15], Lagrange [16], Deprit [17], Hadjidemetriou [18], Bhatnagar [19,20], Sharma et ...the ...

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Lissajous Orbits at the Collinear Libration Points in the Restricted Three Body Problem with Oblateness

Lissajous Orbits at the Collinear Libration Points in the Restricted Three Body Problem with Oblateness

... been carried out on the collinear libration points by considering the oblateness of one or two primaries for the circular restricted three-body problem. Sharma and Subbarao [3] ...

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1.
													Syncronization behavior of restricted three body problem when bigger primary is an uniform circular disc

1. Syncronization behavior of restricted three body problem when bigger primary is an uniform circular disc

... planer restricted three body problem by taken in to consideration the bigger primary is an uniform circular ...identical circular restricted three body ...

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Restricted Three Body Problem with Stokes Drag Effect

Restricted Three Body Problem with Stokes Drag Effect

... drag force. In their studies of the motion of dust particles in the vicinity of the Earth, [6] has analyzed the stabil- ity of the equilibrium points in the presence of radiation pressure which includes the Poynting ...

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Solar sail orbits at the Earth-Moon libration points

Solar sail orbits at the Earth-Moon libration points

... Earth-Moon circular restricted three body problem, where the third body is a solar ...the restricted three- body ...

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Libration Points in the R3BP with a Triaxial Rigid Body as the Smaller Primary and a Variable Mass Infinitesimal Bod

Libration Points in the R3BP with a Triaxial Rigid Body as the Smaller Primary and a Variable Mass Infinitesimal Bod

... the circular restricted three-body problem with variable mass with the assumption that the mass of the infinite- simal body varies with respect to ...the restricted ...

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Periodic Orbits of the First Kind in the CR4BP When the Second Primary Is a Triaxial Rigid Body

Periodic Orbits of the First Kind in the CR4BP When the Second Primary Is a Triaxial Rigid Body

... L of the Circular Restricted Three-Body Problem (CR3BP). With the help of generating solutions, we formed a basis for the existence of periodic orbits, then an analytical approach given ...

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Triangular Libration Points in Elliptic Photogravitational Restricted Three Body Problem with Oblateness

Triangular Libration Points in Elliptic Photogravitational Restricted Three Body Problem with Oblateness

... elliptic restricted three-body problem (ER3BP) describes the three-dimensional motion of a small particle, called the third body (infinitesimal mass) under the gravitational ...

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Halo Orbits in the Photo Gravitational Restricted Three Body Problem

Halo Orbits in the Photo Gravitational Restricted Three Body Problem

... The circular restricted three-body problem (CRTBP) is a special case of the restricted three-body problem where bigger and smaller primaries move in cir- ...

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Applications of KS - variables in celestial mechanics

Applications of KS - variables in celestial mechanics

... the circular restricted threebody problem in three dimensional synodic coordinate system in the form of generating ...

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Equations of Translational-Rotational Motion of A Spheroidal Satellite in A Photogravitational Restricted Three Body Problem

Equations of Translational-Rotational Motion of A Spheroidal Satellite in A Photogravitational Restricted Three Body Problem

... of circular restricted three body ...generalised restricted three body problem have been investigated by choudhary ...were restricted to the consideration of ...

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Stability of L4,5 in the R3BP Under the Combined Effects of Stokes Drag and Finite Straight Segment

Stability of L4,5 in the R3BP Under the Combined Effects of Stokes Drag and Finite Straight Segment

... the restricted three body problem the mass of the one of the bodies is considered to be negligibly small, so that the two other bodies (called primaries) can be described by the two ...

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Displaced non-Keplerian orbits using impulsive thrust

Displaced non-Keplerian orbits using impulsive thrust

... two-body problem and artificial equilibria in the circular restricted three-body ...the circular restricted three-body problem, periodic ...

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Dynamical systems techniques for designing libration point orbits in proximity of highly-inhomogeneous planetary satellites : Application to the Mars-Phobos elliptic three-body problem with additional gravity harmonics

Dynamical systems techniques for designing libration point orbits in proximity of highly-inhomogeneous planetary satellites : Application to the Mars-Phobos elliptic three-body problem with additional gravity harmonics

... the circular restricted problem of three bodies (CR3BP), where the aim is to describe the motion of a point-mass inside the gravitational field generated by two spherical homogeneous bodies ...

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Extension of low-thrust propulsion to the autonomous coplanar circular restricted four body problem with application to future Trojan Asteroid missions

Extension of low-thrust propulsion to the autonomous coplanar circular restricted four body problem with application to future Trojan Asteroid missions

... On the other hand, the use of continuous low-thrust propulsion, has so far been confined to two and three- body systems. Space mission design for low thrust spacecraft has been extensively investigated from ...

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