# How do you find the equilibrium point between two planets using the formula, fG=fG?

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#### Explanation

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See explanation below

#### Explanation:

Say you have an object with mass "m" and you want to place it somewhere between two planets where the first planet's gravitational pull is equal to the second's. All you need to do is use Newton's law of universal gravitation.

where:

**F** the gravitational force

**G** the gravitational constant

**M** the mass of the first object

**m** the mass of the second object

**r** the distance between the two objects (measured from their centers of mass)

Using this equation, we get that the force acted on the object by the first planet (mass "

Similarly, for the force acted on the object by the second planet we get

Since we want to find the equilibrium point between the two planets, we get that

Or

Simplify and you get

If you know the relationship between the masses (e.g.

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