Three body problem
Periodic Solution of the restricted three body problem
... The effect of perturbation in centrifugal force on the periodic solution of the restricted three-body problem representing analytic continuation of Keplerian rectilinear periodic motion has been ...
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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] investigated the the ...
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Triangular Libration Points in Elliptic Photogravitational Restricted Three Body Problem with Oblateness
... restricted three-body problem (ER3BP) describes the three-dimensional motion of a small particle, called the third body (infinitesimal mass) under the gravitational attraction force of ...
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Stability of Triangular Points of the Generalized Photogravitational Robes Restricted Three Body Problem
... triangular equilibrium points of the Robes restricted three-body problem was studied. The value of the critical mass value obtained depends on the oblateness coeffi- cient of the rigid shell, ...
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LOCATION OF LIBRATION POINTS IN THE GENERALISED PHOTOGRAVITATIONAL ELLIPTIC RESTRICTED THREE BODY PROBLEM
... In the present paper we have studied the location of libration points triangular as well as libration points in the generalized photogravitational elliptic restricted three body problem. We have ...
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Quasi analytical solutions for APSIDAL motion in the three body problem: Sun—minor planet—Jupiter
... arbitrary three-body problem in a manner where the third body has a negligibly small mass and defined quan- titatively the problem for all permissible values of the param- ...the ...
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Families of symmetric periodic orbits in the three body problem and the figure eight
... a lot of families of periodic orbits in the TBP and the restricted three body problem were found. Some of these families are formed by symmetric periodic orbits with respect to time-reversal ...
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On Eulerian equilibria in K order approximation of the gyrostat in the three body problem
... the three-body ...reduced problem, the existence and number of equilibria, that we denominate of Euler type in analogy with classic results on the topic, are ...
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Formulation of the Post Newtonian Equations of Motion of the Restricted Three Body Problem
... An explicit form of the potential-like function of the rela- tivistic restricted three-body problem is derived. Equa- tions (65) to (68) represent the equations of motion of the relativistic ...
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New periodic orbits in the solar sail restricted three body problem
... stricted three-body ...Restricted Three-Body Prob- lem (CRTBP) where periodic orbits about equilibria are naturally present at linear ...Restricted Three- Body Problem ...
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Solar sail Lyapunov and halo orbits in the Earth-Moon three-body problem
... Sun-Earth three- body problem, while little research has been conducted to investigate the potential of solar sailing in the Earth-Moon three-body ...Earth-Moon three-body ...
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Solar sail periodic orbits in the Earth-Moon three-body problem
... Sun-Earth three-body problem, while little research has been conducted to investigate the potential of solar sailing in the Earth-Moon three-body ...Earth-Moon three-body ...
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Stability of the Sitnikov's circular restricted three body problem when the primaries are oblate spheroid
... the line perpendicular to plane of motion of primaries. Here oblate spheroid primaries are taken. The solution of the Sitnikov's circular restricted three body problem has been checked when the ...
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Energy of Sitnikov's restricted three body problem if the primaries are source of radiation and triaxial rigid bodies
... rigid body has been studied. The energy of Sitnikov's restricted three body problem when primaries are sources of radiation and energy of Sitnikov's restricted problem of three ...
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Effects of Radiating Oblate Spheroid and Triaxial Rigid Body in the Restricted Three Body Problem S. Dewangan 1, Poonam Duggad2
... restricted three body problem when bigger primary as an oblate spheroid and source of radiation and smaller primary a triaxial rigid body with one of the axes as axis of ...and three ...
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Agile solar sailing in three-body problem : Motion between artificial equilibrium points
... In this paper a set of transfers have been proposed that allow a tour along several artificial equilibrium points (AEPs) in the solar sail Sun-Earth three body problem, each of which can provide ...
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Equations of Translational-Rotational Motion of A Spheroidal Satellite in A Photogravitational Restricted Three Body Problem
... restricted three body taking into account photogravitational effect of the ...restricted three body ...the problem of existence of equilibrium points and their stability accounting for ...
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Existence and Stability of Equilibrium Points in the Robe’s Restricted Three Body Problem with Variable Masses
... restricted three-body problem (R3BP) describes the motion of an infinitesimal mass moving under the gravi- tational effects of the two finite masses, called primaries, which move in circular orbits ...
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Solar sail dynamics in the three-body problem: homoclinic paths of points and orbits
... sail three body problem, however they consider only equilibrium points on the axis joining the primary masses, corresponding to artificial Lagrange ...classical problem for the sake of ...
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Non-Uniform Motion of the Three-Body Problem When the Primaries Are Oblate Spheroids
... the three -body problem when the primaries are moving in a circular orbit around there centre of mass in the non-uniform motion by taking into consideration the primaries as oblate bodies ...the ...
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