Circular Orbital Radius Calculator

✖Angular Momentum of Circular Orbit is a fundamental physical quantity that characterizes the rotational motion of an object in orbit around a celestial body, such as a planet or a star.ⓘ Angular Momentum of Circular Orbit [h_c]

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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 [r]

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Circular Orbital Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Orbit Radius = Angular Momentum of Circular Orbit^2/[GM.Earth]
r = h_c^2/[GM.Earth]
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.
Angular Momentum of Circular Orbit - (Measured in Squaer Meter per Second) - Angular Momentum of Circular Orbit is a fundamental physical quantity that characterizes the rotational motion of an object in orbit around a celestial body, such as a planet or a star.

STEP 1: Convert Input(s) to Base Unit

Angular Momentum of Circular Orbit: 65789 Square Kilometer per Second --> 65789000000 Squaer Meter per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = h_c^2/[GM.Earth] --> 65789000000^2/[GM.Earth]

Evaluating ... ...

r = 10858473.9682042

STEP 3: Convert Result to Output's Unit

10858473.9682042 Meter -->10858.4739682042 Kilometer (Check conversion here)

FINAL ANSWER

10858.4739682042 ≈ 10858.47 Kilometer <-- Orbit Radius

(Calculation completed in 00.004 seconds)

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Created by Karavadiya Divykumar Rasikbhai

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

Karavadiya Divykumar Rasikbhai has created this Calculator and 10+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< Circular Orbit Parameters Calculators

Orbital Period

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

Velocity of Circular Orbit

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

Circular Orbital Radius

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

Circular Orbital Radius Given Velocity of Circular Orbit

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

Circular Orbital Radius Formula

LaTeX Go

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

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?

Circular Orbital Radius calculator uses Orbit Radius = Angular Momentum of Circular Orbit^2/[GM.Earth] to calculate the Orbit Radius, Circular Orbital Radius formula is defined as the distance from the center of the Earth to the satellite in a circular orbit, which is critical in understanding the motion of satellites and space debris in Earth's gravitational field, and is essential in aerospace engineering and space mission design. Orbit Radius is denoted by r symbol.

How to calculate Circular Orbital Radius using this online calculator? To use this online calculator for Circular Orbital Radius, enter Angular Momentum of Circular Orbit (h_c) and hit the calculate button. Here is how the Circular Orbital Radius calculation can be explained with given input values -> 10.85847 = 65789000000^2/[GM.Earth].

FAQ

What is Circular Orbital Radius?

Circular Orbital Radius formula is defined as the distance from the center of the Earth to the satellite in a circular orbit, which is critical in understanding the motion of satellites and space debris in Earth's gravitational field, and is essential in aerospace engineering and space mission design and is represented as r = h_c^2/[GM.Earth] or Orbit Radius = Angular Momentum of Circular Orbit^2/[GM.Earth]. Angular Momentum of Circular Orbit is a fundamental physical quantity that characterizes the rotational motion of an object in orbit around a celestial body, such as a planet or a star.

How to calculate Circular Orbital Radius?

Circular Orbital Radius formula is defined as the distance from the center of the Earth to the satellite in a circular orbit, which is critical in understanding the motion of satellites and space debris in Earth's gravitational field, and is essential in aerospace engineering and space mission design is calculated using Orbit Radius = Angular Momentum of Circular Orbit^2/[GM.Earth]. To calculate Circular Orbital Radius, you need Angular Momentum of Circular Orbit (h_c). With our tool, you need to enter the respective value for Angular Momentum 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 Angular Momentum of Circular Orbit. We can use 3 other way(s) to calculate the same, which is/are as follows -

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