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Zero-velocity surface

Jacobi constant, a Zero Velocity Surface and Curve (also Hill's curve)[1]

A zero-velocity surface is a concept that relates to the N-body problem of gravity. It represents a surface a body of given energy cannot cross, since it would have zero velocity on the surface. It was first introduced by George William Hill.[2] The zero-velocity surface is particularly significant when working with weak gravitational interactions among orbiting bodies.

  1. ^ Szebehely, V. G. (1963). "Zero velocity curves and orbits in the restricted problem of three bodies". Astronomical Journal. 68: 147. Retrieved 2023-11-11.
  2. ^ Hill, G. W. (1878). "Researches in the lunar theory". Am. J. Math. 1 (5): 5–26. doi:10.2307/2369430. JSTOR 2369430.
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