Surfaces of zero velocity in the restricted problem of three bodies

Computer Science – Graphics

Scientific paper

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Celestial Mechanics, Computer Graphics, Hill Method, Three Body Problem, Zero Force Curves, Equations Of Motion, Jacobi Integral, Mass Ratios

Scientific paper

Recent uses of computer graphics allow the representation of the three-dimensional surfaces of zero velocity, also known as Hill's or the Jacobian surfaces. The purpose of this paper is to show the actual surfaces rather than their projections which are available in the standard literature. The analytical properties of the surfaces are also available; therefore, this paper offers the pertinent references rather than the derivations.

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