Velocity of Circular Orbit Calculator

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The Two Body Problem

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Circular Orbits

Elliptical Orbits

Fundamental Parameters

Hyperbolic Orbits

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Circular Orbit Parameters

Geostationary Earth Satellite

✖The Orbit Radius is defined as the distance from the center of the orbit to the orbit's path.ⓘ Orbit Radius [r]

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✖Velocity of Circular Orbit is the speed of a body in a circular orbit.ⓘ Velocity of Circular Orbit [v_cir]

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Formula

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Velocity of Circular Orbit

Formula

`"v"_{"cir"} = sqrt("[GM.Earth]"/"r")`

Example

`"6.058624km/s"=sqrt("[GM.Earth]"/"10859km")`

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Velocity of Circular Orbit Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity of Circular Orbit = sqrt([GM.Earth]/Orbit Radius)
v_cir = sqrt([GM.Earth]/r)
This formula uses 1 Constants, 1 Functions, 2 Variables

Constants Used

[GM.Earth] - Earth’s Geocentric Gravitational Constant Value Taken As 3.986004418E+14

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Velocity of Circular Orbit - (Measured in Meter per Second) - Velocity of Circular Orbit is the speed of a body in a circular orbit.
Orbit Radius - (Measured in Meter) - The Orbit Radius is defined as the distance from the center of the orbit to the orbit's path.

STEP 1: Convert Input(s) to Base Unit

Orbit Radius: 10859 Kilometer --> 10859000 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_cir = sqrt([GM.Earth]/r) --> sqrt([GM.Earth]/10859000)

Evaluating ... ...

v_cir = 6058.62358721996

STEP 3: Convert Result to Output's Unit

6058.62358721996 Meter per Second -->6.05862358721996 Kilometer per Second (Check conversion here)

FINAL ANSWER

6.05862358721996 ≈ 6.058624 Kilometer per Second <-- Velocity of Circular Orbit

(Calculation completed in 00.020 seconds)

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Created by Karavadiya Divykumar Rasikbhai

Hindustan Institute of Technology and Science (HITS), Chennai, Indian

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< 11 Circular Orbit Parameters Calculators

Orbital Period

Go Time Period of Orbit = 2*pi*sqrt((Orbit Radius^3)/([G.]*Central Body Mass))

Circular Orbital Radius Given Time Period of Circular Orbit

Go Orbit Radius = ((Time Period of Orbit*sqrt([GM.Earth]))/(2*pi))^(2/3)

Speed of Satellite in Circular LEO as Function of Altitude

Go Speed of Satellite = sqrt([GM.Earth]/([Earth-R]+Height of Satellite))

Time Period of Circular Orbit

Go Time Period of Orbit = (2*pi*Orbit Radius^(3/2))/(sqrt([GM.Earth]))

Velocity of Circular Orbit

Go Velocity of Circular Orbit = sqrt([GM.Earth]/Orbit Radius)

Circular Orbital Radius

Go Orbit Radius = Angular Momentum of Circular Orbit^2/[GM.Earth]

Specific Energy of Circular Orbit Given Orbital Radius

Go Specific Energy of Orbit = -([GM.Earth])/(2*Orbit Radius)

Orbital Radius Given Specific Energy of Circular Orbit

Go Orbit Radius = -([GM.Earth])/(2*Specific Energy of Orbit)

Circular Orbital Radius Given Velocity of Circular Orbit

Go Orbit Radius = [GM.Earth]/Velocity of Circular Orbit^2

Specific Energy of Circular Orbit

Go Specific Energy of Orbit = -([GM.Earth]^2)/(2*Angular Momentum of Circular Orbit^2)

Escape Velocity given Speed of Satellite in Circular Orbit

Go Escape Velocity = sqrt(2)*Velocity of Circular Orbit

Velocity of Circular Orbit Formula

Velocity of Circular Orbit = sqrt([GM.Earth]/Orbit Radius)
v_cir = sqrt([GM.Earth]/r)

Is the velocity of a circular orbit constant?

An object in uniform circular motion moves around the circle's perimeter at constant speed. While the speed of the object is constant, its velocity is changing. Velocity, being a vector, has a constant magnitude but a changing direction.

How to Calculate Velocity of Circular Orbit?

Velocity of Circular Orbit calculator uses Velocity of Circular Orbit = sqrt([GM.Earth]/Orbit Radius) to calculate the Velocity of Circular Orbit, The Velocity of Circular Orbit formula is defined as the speed of a body in a circular orbit. Velocity of Circular Orbit is denoted by v_cir symbol.

How to calculate Velocity of Circular Orbit using this online calculator? To use this online calculator for Velocity of Circular Orbit, enter Orbit Radius (r) and hit the calculate button. Here is how the Velocity of Circular Orbit calculation can be explained with given input values -> 0.006059 = sqrt([GM.Earth]/10859000).

FAQ

What is Velocity of Circular Orbit?

The Velocity of Circular Orbit formula is defined as the speed of a body in a circular orbit and is represented as v_cir = sqrt([GM.Earth]/r) or Velocity of Circular Orbit = sqrt([GM.Earth]/Orbit Radius). The Orbit Radius is defined as the distance from the center of the orbit to the orbit's path.

How to calculate Velocity of Circular Orbit?

The Velocity of Circular Orbit formula is defined as the speed of a body in a circular orbit is calculated using Velocity of Circular Orbit = sqrt([GM.Earth]/Orbit Radius). To calculate Velocity of Circular Orbit, you need Orbit Radius (r). With our tool, you need to enter the respective value for Orbit Radius and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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