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I need a equation describing relationship between position of particle and time.You can assume only gravitational interaction between masses.

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Newton’s second law tells us that the acceleration of a body of mass $m$ experiencing a force $\mathbf{F}$ is given $\mathbf{a}=\mathbf{F}/m$.

Given that you are only concerned with the gravitation force, we can calculate it so: $$\mathbf{F}_G = G\frac{Mm}{r^2}\hat{\mathbf{r}}$$

Given the symmetry of the problem, you may want to consider a 1-D radial coordinate system. You should only have to do the calculation once (as all three masses are experiencing the same thing).

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  • $\begingroup$ I need exact answer for verification of my answer @Riley jacob $\endgroup$ – user61786 Jan 9 '19 at 7:11

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