Specific Energy of Circular Orbit Given Orbital Radius Calculator

✖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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✖The Specific Energy of Orbit is the total orbital energy per unit mass of an orbiting body. It is the sum of the kinetic energy and the gravitational potential energy.ⓘ Specific Energy of Circular Orbit Given Orbital Radius [ε]

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Specific Energy of Circular Orbit Given Orbital Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Specific Energy of Orbit = -([GM.Earth])/(2*Orbit Radius)
ε = -([GM.Earth])/(2*r)
This formula uses 1 Constants, 2 Variables

Constants Used

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

Variables Used

Specific Energy of Orbit - (Measured in Joule per Kilogram) - The Specific Energy of Orbit is the total orbital energy per unit mass of an orbiting body. It is the sum of the kinetic energy and the gravitational potential energy.
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

ε = -([GM.Earth])/(2*r) --> -([GM.Earth])/(2*10859000)

Evaluating ... ...

ε = -18353459.885809

STEP 3: Convert Result to Output's Unit

-18353459.885809 Joule per Kilogram -->-18353.459885809 Kilojoule per Kilogram (Check conversion here)

FINAL ANSWER

-18353.459885809 ≈ -18353.459886 Kilojoule per Kilogram <-- Specific Energy of Orbit

(Calculation completed in 00.020 seconds)

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Home » Physics » Orbital Mechanics » The Two Body Problem » Circular Orbits » Aerospace » Circular Orbit Parameters » Specific Energy of Circular Orbit Given Orbital Radius

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Created by Karavadiya Divykumar Rasikbhai

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

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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

Specific Energy of Circular Orbit Given Orbital Radius Formula

LaTeX Go

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

What G.M of earth ?

G.M is known as the gravitational parameter of Earth. It represents the gravitational strength of Earth and is a fundamental constant used in celestial mechanics and orbital calculations.

How to Calculate Specific Energy of Circular Orbit Given Orbital Radius?

Specific Energy of Circular Orbit Given Orbital Radius calculator uses Specific Energy of Orbit = -([GM.Earth])/(2*Orbit Radius) to calculate the Specific Energy of Orbit, Specific Energy of Circular Orbit Given Orbital Radius formula is defined as a measure of the total energy per unit mass required to maintain a satellite in a circular orbit around the Earth, considering the gravitational attraction between the satellite and the Earth. Specific Energy of Orbit is denoted by ε symbol.

How to calculate Specific Energy of Circular Orbit Given Orbital Radius using this online calculator? To use this online calculator for Specific Energy of Circular Orbit Given Orbital Radius, enter Orbit Radius (r) and hit the calculate button. Here is how the Specific Energy of Circular Orbit Given Orbital Radius calculation can be explained with given input values -> -18.35346 = -([GM.Earth])/(2*10859000).

FAQ

What is Specific Energy of Circular Orbit Given Orbital Radius?

Specific Energy of Circular Orbit Given Orbital Radius formula is defined as a measure of the total energy per unit mass required to maintain a satellite in a circular orbit around the Earth, considering the gravitational attraction between the satellite and the Earth and is represented as ε = -([GM.Earth])/(2*r) or Specific Energy of Orbit = -([GM.Earth])/(2*Orbit Radius). The Orbit Radius is defined as the distance from the center of the orbit to the orbit's path.

How to calculate Specific Energy of Circular Orbit Given Orbital Radius?

Specific Energy of Circular Orbit Given Orbital Radius formula is defined as a measure of the total energy per unit mass required to maintain a satellite in a circular orbit around the Earth, considering the gravitational attraction between the satellite and the Earth is calculated using Specific Energy of Orbit = -([GM.Earth])/(2*Orbit Radius). To calculate Specific Energy of Circular Orbit Given Orbital Radius, 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.

How many ways are there to calculate Specific Energy of Orbit?

In this formula, Specific Energy of Orbit uses Orbit Radius. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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