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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?

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SpaceX has posted a nice info graphic:

enter image description here

The perilune (closest approach to the moon, number 06 in the graphic) is going to be about 125 miles / 201 km.

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    $\begingroup$ During the Q/A after the presentation where this was shown, musk mentioned that the flight plan wasn't final and he could imagine doing a close flyby and then a long return. $\endgroup$ – Dragongeek Sep 19 '18 at 13:45
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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)

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