2012Applied MathematicsOpen access

Restricted Three-Body Problem in Cylindrical Coordinates System

M. A. Sharaf, A.A. Alshaery

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Abstract

In this paper, the equations of motion for spatial restricted circular three body problem will be established using the cylindrical coordinates. Initial value procedure that can be used to compute both the cylindrical and Cartesian coordinates and velocities is also developed.

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In this paper, the equations of motion for spatial restricted circular three body problem will be established using the cylindrical coordinates. Initial value procedure that can be used to compute both the cylindrical and Cartesian coordinates and velocities is also developed.

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Available abstract

In this paper, the equations of motion for spatial restricted circular three body problem will be established using the cylindrical coordinates. Initial value procedure that can be used to compute both the cylindrical and Cartesian coordinates and velocities is also developed.

Key concepts: Bipolar coordinates, Cartesian coordinate system, Orthogonal coordinates, Log-polar coordinates, Cylindrical coordinate system, Generalized coordinates, Spherical coordinate system, Prolate spheroidal coordinates

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