[ProtectOurFreedom]

I think we really have no idea how much force the moon exerts on the earth when they get a lot closer.

Exhibit 1: Philosophiae Naturalis Principia Mathematica, 5 July 1687:

[stormer]

Thus,

F @ apogee = (6.67 x 10^-11 m^3 kg^-1 s^-2)(5.97 x 10^24)(7.36 x 10^22)kg/405948km;

F @ perigee = (6.67 x 10^-11 m^3 kg^-1 s^-2)(5.97 x 10^24)(7.36 x 10^22)kg/359861km

Somebody else can do the math...