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Velocity of Circular Orbit

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on

Jul 24, 2020, 6:28:07 PM

Created by

on

Nov 23, 2014, 1:50:17 AM

v = \sqrt{\frac{G m_{E}}{r}}

$v = sqrt((Gm_E)/ r )$

(r) Radius

$(r)"Radius"$

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11b9f3c8-72b3-11e4-a9fb-bc764e2038f2

The Velocity of a Circular Orbit calculator computes the mean velocity of an object in a circular Earth orbit based on the radius (r), the Mass of the Earth (m_E), and the Universal Gravity constant (G).

INSTRUCTIONS: Choose units and enter the following:

(r) This is the radius of the orbit.

Orbital Velocity (V): The calculator returns the velocity (V) in meters per second. However, this can be automatically converted to compatible units via the pull-down menu.

Related Calculators:

The Math / Science

The formula for the velocity of a circular orbit around the Earth is:

$v = \sqrt{\frac{M_{e} \cdot G}{r^{2}}}$ $v = sqrt((M_e * G)/r^2)$

where:

v is the mean orbital velocity
M_e is the mass of the Earth
G is the universal gravitational constant
r is the radius from the center of the Earth to the orbit

Reference

University Physics 12th Edition, Chapter 12, Equation #12.10

This equation, Velocity of Circular Orbit, references 2 pages

Equations and Data Items

• G (Gravitational Constant) - metric by MichaelBartmess

• Mass_ Earth (Kg) by GerryPerham

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