# Is there an “inverse” gravity gradient map for space?

Ive found a lot of images of the moon identifying gmascons all over the moon due to different surface features and densities. Most of them look like this:

Im wondering if you could take a map like this, and a map of Earth, then create a gradient like this but for the Earth-Moon system for anything within those bounds. Obviously this would only work for an instant in time, as the Earth rotates and the moon orbits... however Ive wondered if there exists a diagram like this which includes mascons for any given point in space around the Earth moon system.

Is there any such diagram? Even a 2D approximation of such a diagram assuming the entities were coplanar and non rotating would be cool just to see a concept. The values for each point in space would be a direction and a magnitude, possibly only calculated every 100km or such.

I realize that im rambling at this point but Id be interested to know what the mame of such a diagram is provided one exists.

• @MagicOctopusUm: Particularly those maps are called 'zero velocity curves'. Why zero velocity? They originate in the idea to plot an effective gravitational potential $\Phi_{eff} = \Phi_{grav} + \Phi_{centrifugal}$. This is a function of position only. However in the three-body problem $\Phi_{eff}$ is not conserved, instead the Jacobi-constant $C_J$ is, which is velocity dependent. Then, setting all $v=0$, $C_J$ reduces to $\Phi_{eff}$, which is the plot you see. For details: Murray/Dermott: Solar system dynamics, chap. 3.3. – AtmosphericPrisonEscape Jul 3 '19 at 13:44