The minimum speed an object needs to attain so that it will escape or break free from the attraction of a celestial body without any further propulsion is termed as escape speed. It is one of the important concepts in physics, especially for astrophysics, space travel, and orbital mechanics.

Formula for Escape Speed

The escape speed of an object out of a planet or celestial body is given by law of conservation of energy. The relation is expressed as under:

where

G = Gravitational constant
M =mass of the planet
r = distance from the center of gravity.

Solved Example

Let us take some numerical on escape speed to better understand it.

Example 1: The mass of Jupiter is given as and the radius is given as 71492 km. Compute the escape speed?

Answer:

Known parameters are,

Mass of the Jupiter, M =

radius, r = 71492 km

G =

The formula for escape speed is,

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Escape Speed Formula

Introduction

Formula for Escape Speed

The escape speed of an object out of a planet or celestial body is given by law of conservation of energy. The relation is expressed as under:

where

G = Gravitational constant
M =mass of the planet
r = distance from the center of gravity.

Solved Example

Let us take some numerical on escape speed to better understand it.

Example 1: The mass of Jupiter is given as and the radius is given as 71492 km. Compute the escape speed?

Answer:

Known parameters are,

Mass of the Jupiter, M =

radius, r = 71492 km

G =

The formula for escape speed is,

Other Related Sections

List of Physics Formulas

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Frequently Asked Questions

Ptolemy’s Theorem

Formula: Ptolemy’s Theorem relates the sides and diagonals of a cyclic quadrilateral. For a cyclic quadrilateral ABCD with diagonals AC and BD, the theorem states:

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