you take off from planet with mass M1 and headed to another planet distance L aw

Question

you take off from planet with mass M1 and headed to another planet distance L away. second planet has mass M2. find expression for position when space graft feels no net gravitational pull you take off from planet with mass M1 and headed to another planet distance L away. second planet has mass M2. find expression for position when space graft feels no net gravitational pull you take off from planet with mass M1 and headed to another planet distance L away. second planet has mass M2. find expression for position when space graft feels no net gravitational pull

Explanation / Answer

gravitational pull due to M1 = G* M1*m / (r * r)

due to M2 = G*M2*m/ (L-r) ^2

for these to be equal

M1/M2 =( (L-r) / r ) ^ 2

(L-r) / r = sqrt (M1 / M2)

L/r = 1+ sqrt (M1 / M2)

r= L /(1+sqrt (M1 / M2))

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