Image: Lagrangian points equipotential
Description: Animation showing the relationship between the five Lagrangian points (red) of a planet (blue) orbiting a star (yellow), and the gravitational potential in the plane containing the orbit (grey surface with purple contours of equal potential). The potential was computed in POV-Ray using Ψ(x,y,z)=(x−q1+q)2+y2+2(1+q)x2+y2+z2+2q(1+q)(x−1)2+y2+z2{\displaystyle \Psi (x,y,z)={\Big (}x-{\frac {q}{1+q}}{\Big )}^{2}+y^{2}+{\frac {2}{(1+q){\sqrt {x^{2}+y^{2}+z^{2}}}}}+{\frac {2q}{(1+q){\sqrt {(x-1)^{2}+y^{2}+z^{2}}}}}} for q = 0.1 and z = 0.[1]
Title: Lagrangian points equipotential
Credit: Own work
Author: cmglee
Usage Terms: Creative Commons Attribution-Share Alike 3.0
License: CC BY-SA 3.0
License Link: http://creativecommons.org/licenses/by-sa/3.0
Attribution Required?: Yes
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