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**1. Homework Statement**

I am very rusty on my mathematics and I am wondering if there is a way to express

**R**

_{s}in terms of

**r**

_{1}and

**r**

_{2}. The positions of the bodies are all relative to the origin 0 (C.o.M between m1 and m2). Basically I'm trying to express the two vectors coming from m3 in terms of the masses and position vectors for m1 and m2.

**2. Homework Equations**

R

R

_{3-1}=

**r**

_{1}-

**R**

_{s}

**R**_{3-2}=

**r**

_{2}-

**R**

_{s}

**3. The Attempt at a Solution**I think

**r**

_{1}and

**r**

_{2}are related through the expression:

**r**

_{2}= -(m

_{1}/m

_{2})*

**r**

_{1}but this was very much 'fudged' so I think I'm approaching the problem wrong.

Any help much appreciated.

Cheers.