First escape speed¶

First escape speed is the minimum speed needed for an object to escape from contact with or orbit of a primary body.

Notation:

\(G\) (G) is gravitational_constant.

Links:

Wikipedia.

speed¶: Escape speed of the body.

Symbol:: v
Latex:: \(v\)
Dimension:: velocity

radius¶: radius of the planet.

Symbol:: r
Latex:: \(r\)
Dimension:: length

height¶: Elevation (height) of the body from the surface of the planet

Symbol:: h
Latex:: \(h\)
Dimension:: length

planet_mass¶: mass of the planet.

Symbol:: m
Latex:: \(m\)
Dimension:: mass

law¶

v = sqrt(G * m / (r + h))

Latex:: \[v = \sqrt{\frac{G m}{r + h}}\]