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First of all, I'm new to this forum, it's good to be here! I've been studying for my next physics exam and am having trouble with one type of question, here it is (I have tried my best to replicate the image on paint):

Two stars of masses "M" and "m" are in orbit around each other. As shown in the following diagram, they are a distance "R" apart. A Spacecraft located at point X experiences zero net gravitational force from these stars. Calculate the ratio of M/m.

G=(GM/R

Fg = (GMm/R

Where G is the gravitation constant which is 6.67 x 10

R = Radius

M = Mass

m = Mass

Fg = Gravitational force

g = gravitational field strength

We know that at point X, Fg is 0. I tried plugging a whole bunch of numbers in, but I can't find a question similar and am struggling with the process of it. I'm pretty sure we use the second equation, but I seem to be screwing up the arithmetic.

Any help would be appreciated!

## Homework Statement

Two stars of masses "M" and "m" are in orbit around each other. As shown in the following diagram, they are a distance "R" apart. A Spacecraft located at point X experiences zero net gravitational force from these stars. Calculate the ratio of M/m.

## Homework Equations

G=(GM/R

^{2})Fg = (GMm/R

^{2}) = mgWhere G is the gravitation constant which is 6.67 x 10

^{-11}R = Radius

M = Mass

m = Mass

Fg = Gravitational force

g = gravitational field strength

## The Attempt at a Solution

We know that at point X, Fg is 0. I tried plugging a whole bunch of numbers in, but I can't find a question similar and am struggling with the process of it. I'm pretty sure we use the second equation, but I seem to be screwing up the arithmetic.

Any help would be appreciated!

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