Free Fall Time

Available identifiers

characteristic time that would take a body to collapse under its own gravitational attraction, if no other forces existed to oppose the collapse

Defining Formula: $t (y) \equiv \sqrt{\frac{{y_{0}}^{3}}{2 G (m + M)}} (\sqrt{\frac{y}{y_{0}} (1 - \frac{y}{y_{0}})} + \arccos \sqrt{\frac{y}{y_{0}}})$
$M$ symbol represents Earth Mass
$m$ symbol represents Free Fall Mass
$y$ symbol represents Free Fall Height
$y_{0}$ symbol represents Free Fall Initial Height
$G$ symbol represents Gravitational Constant
$t$ symbol represents Free Fall Time

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