Posted by **Fernando** on Thursday, April 28, 2011 at 7:05pm.

A spaceship of mass m is located between two planets of masses M1 and M2; the distance between the two planets is L. Assume that L is much larger that the radius of either planet. What is the position of the spacecraft (given as a function of L, M1, and M2) if the net force on the spacecraft is zero?

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**bobpursley**, Thursday, April 28, 2011 at 7:06pm
GM1/r^2=GM2/(L-r)^2 solve for r, which is the distance from the center of M1

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**Fernando**, Thursday, April 28, 2011 at 7:17pm
I tried that... I get L/(L+sqrt(M2-M1)) but that's not it...

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**bobpursley**, Thursday, April 28, 2011 at 7:55pm
recheck your algebra, dimensional analysis shows it is impossible.

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