For a flyby of the moon, like the SpaceX #dearMoon flight announced September 17, 2018, how close would they likely attempt to pass?
Is there an average or optimal trajectory for a lunar flyby used on past missions?
SpaceX has posted a nice info graphic:
The perilune (closest approach to the moon, number 06 in the graphic) is going to be about 125 miles / 201 km.
On May 17, 2018 NASA's TESS passed within 8,253.54 km of the lunar surface on a flyby. This is roughly equivelant to 2% of the distance between Earth and the Moon.
(Source: https://mobile.twitter.com/nasa_tess/status/997485558283882501?s=21)