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$$ \ddot{\mathbf{r}} = -\gamma \left\{ \frac{M}{r^3}\mathbf{r} -\frac{S}{\rho^3}\boldsymbol{\rho} + \frac{S}{R^3}\boldsymbol\Re \right\} $$$$ \ddot{\boldsymbol\Re} = -\gamma \frac{M+S}{R^3}\boldsymbol\Re$$
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