Retrieving "Parabolas" from the archives
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Celestial Mechanics
Linked via "parabolas"
where $G$ is the gravitational constant, and $r$ is the distance between the masses $m1$ and $m2$.
The mathematical consequence of this inverse-square law is that the unperturbed orbits of two bodies orbiting a common center of mass (the two-body problem) are always conic sections: ellipses, parabolas, or hyperbolas. For bound systems, such as planets orbiting the [Sun (star)](…