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Circular restricted three-body problem

Hill sphere

{c}
{title2=$r_H$}

For a body of mass $m$ on a circular orbit of radius $a$ about mass $M\gg m$, the Hill radius is approximately
$$
r_H=a\left(\frac{m}{3M}\right)^{1/3}.
$$


Hill radius

Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 316 / 4 / vi / Solution

Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 316 / 4 / v / Solution

Hill radius ( $r_{H}$ )

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Hill radius (rH​)

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Hill radius ( $r_{H}$ )

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