This illustration shows delta vee (in kilometers/second) required to get from earth's low orbit to various destinations in our neighborhood of the solar system.
The red vines indicate the possibility of delta vee free aerobraking paths to some destinations.
These delta vees where arrived at using patched conics which works well in finding delta vee budgets for interplanetary Hohmann paths.
However in the earth moon system, the paths substantially deviate from conic sections, since a satellites' path is influenced by several gravity sources. This is especially true around the Lagrange points. In the above illustration the delta vees from and to Lagrange points are overestimated. Please see [link]