Circular Orbital Radius Given 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

Parabolic Orbits

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Circular Orbit Parameters

Geostationary Earth Satellite

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

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

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Formula

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Circular Orbital Radius Given Velocity of Circular Orbit

Formula

`"r" = "[GM.Earth]"/"v"_{"cir"}^2`

Example

`"10889.98km"="[GM.Earth]"/("6.05km/s")^2`

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Circular Orbital Radius Given Velocity of Circular Orbit Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

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

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Velocity of Circular Orbit: 6.05 Kilometer per Second --> 6050 Meter per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = [GM.Earth]/v_cir^2 --> [GM.Earth]/6050^2

Evaluating ... ...

r = 10889978.6025545

STEP 3: Convert Result to Output's Unit

10889978.6025545 Meter -->10889.9786025545 Kilometer (Check conversion here)

FINAL ANSWER

10889.9786025545 ≈ 10889.98 Kilometer <-- Orbit Radius

(Calculation completed in 00.020 seconds)

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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

Circular Orbital Radius Given Velocity of Circular Orbit Formula

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

What is circular orbital radius in simple?

For approximately circular orbits the orbital radius is the distance from an object in space to the body which it is orbiting.

How to Calculate Circular Orbital Radius Given Velocity of Circular Orbit?

Circular Orbital Radius Given Velocity of Circular Orbit calculator uses Orbit Radius = [GM.Earth]/Velocity of Circular Orbit^2 to calculate the Orbit Radius, The Circular Orbital Radius Given Velocity of Circular Orbit formula is defined as the distance from the center of the orbit to the orbit's path. Orbit Radius is denoted by r symbol.

How to calculate Circular Orbital Radius Given Velocity of Circular Orbit using this online calculator? To use this online calculator for Circular Orbital Radius Given Velocity of Circular Orbit, enter Velocity of Circular Orbit (v_cir) and hit the calculate button. Here is how the Circular Orbital Radius Given Velocity of Circular Orbit calculation can be explained with given input values -> 11.07223 = [GM.Earth]/6050^2.

FAQ

What is Circular Orbital Radius Given Velocity of Circular Orbit?

The Circular Orbital Radius Given Velocity of Circular Orbit formula is defined as the distance from the center of the orbit to the orbit's path and is represented as r = [GM.Earth]/v_cir^2 or Orbit Radius = [GM.Earth]/Velocity of Circular Orbit^2. Velocity of Circular Orbit is the speed of a body in a circular orbit.

How to calculate Circular Orbital Radius Given Velocity of Circular Orbit?

The Circular Orbital Radius Given Velocity of Circular Orbit formula is defined as the distance from the center of the orbit to the orbit's path is calculated using Orbit Radius = [GM.Earth]/Velocity of Circular Orbit^2. To calculate Circular Orbital Radius Given Velocity of Circular Orbit, you need Velocity of Circular Orbit (v_cir). With our tool, you need to enter the respective value for Velocity of Circular Orbit and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Orbit Radius?

In this formula, Orbit Radius uses Velocity of Circular Orbit. We can use 3 other way(s) to calculate the same, which is/are as follows -

Orbit Radius = Angular Momentum of Circular Orbit^2/[GM.Earth]
Orbit Radius = ((Time Period of Orbit*sqrt([GM.Earth]))/(2*pi))^(2/3)
Orbit Radius = -([GM.Earth])/(2*Specific Energy of Orbit)

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