Image showing the relationship between the five Lagrangian points (red) of a planet (blue) orbiting a star (yellow), and the effective potential (gravitational + rotational) in the plane containing the orbit (grey surface with purple contours of equal potential). The potential was computed in POV-Ray using ${\displaystyle \Psi (x,y,z)={\Big (}x-{\frac {q}{1+q}}{\Big )}^{2}+y^{2}+{\frac {2}{(1+q){\sqrt {x^{2}+y^{2}+z^{2}}}}}+{\frac {2q}{(1+q){\sqrt {(x-1)^{2}+y^{2}+z^{2}}}}}}$