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$ F = G \cdot \frac{m_{1} \cdot m_{2} }{ r^{2} } $
$ r = \sqrt{\frac{G\cdot m_{1} \cdot m_{2} }{ F}} $
$ m_{1} = \frac{F\cdot r^{2} }{G\cdot m_{2} } $
$ m_{2} = \frac{F\cdot r^{2} }{G\cdot m_{1} } $
Astronomie-Gravitation-Gravitationsgesetz
$\begin{array}{l}
\text{Gegeben:}\\\text{Gravitationskonstante} \qquad G \qquad [\frac{Nm^{2} }{ kg^{2} }] \\
\text{Kraft} \qquad F \qquad [N] \\
\text{Abstand der Massen} \qquad r \qquad [m] \\
\text{Massen} \qquad m_{1} \qquad [kg] \\
\\ \text{Gesucht:} \\\text{Massen} \qquad m_{2} \qquad [kg] \\
\end{array}$