Orbital Radius Given Specific Energy of Circular Orbit Calculator

✖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 Orbit [ε]

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

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Orbital Radius Given Specific Energy of Circular Orbit Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

STEP 1: Convert Input(s) to Base Unit

Specific Energy of Orbit: -18354 Kilojoule per Kilogram --> -18354000 Joule per Kilogram (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = -([GM.Earth])/(2*ε) --> -([GM.Earth])/(2*(-18354000))

Evaluating ... ...

r = 10858680.4456794

STEP 3: Convert Result to Output's Unit

10858680.4456794 Meter -->10858.6804456794 Kilometer (Check conversion here)

FINAL ANSWER

10858.6804456794 ≈ 10858.68 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

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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

Orbital Radius Given Specific Energy of Circular Orbit Formula

LaTeX Go

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

What is Specific Energy of Circular Orbit ?

The specific orbital energy, often simply referred to as specific energy, is a measure of the energy per unit mass associated with an object's motion in orbit around another body. In the context of a circular orbit, the specific energy is negative and represents the total energy

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

Orbital Radius Given Specific Energy of Circular Orbit calculator uses Orbit Radius = -([GM.Earth])/(2*Specific Energy of Orbit) to calculate the Orbit Radius, Orbital Radius Given Specific Energy of Circular Orbit formula is defined as a measure of the distance of an object from the center of the Earth in a circular orbit, which is influenced by the gravitational constant and the specific energy of the orbit, providing crucial information for space mission planning and satellite operations. Orbit Radius is denoted by r symbol.

How to calculate Orbital Radius Given Specific Energy of Circular Orbit using this online calculator? To use this online calculator for Orbital Radius Given Specific Energy of Circular Orbit, enter Specific Energy of Orbit (ε) and hit the calculate button. Here is how the Orbital Radius Given Specific Energy of Circular Orbit calculation can be explained with given input values -> 10.87883 = -([GM.Earth])/(2*(-18354000)).

FAQ

What is Orbital Radius Given Specific Energy of Circular Orbit?

Orbital Radius Given Specific Energy of Circular Orbit formula is defined as a measure of the distance of an object from the center of the Earth in a circular orbit, which is influenced by the gravitational constant and the specific energy of the orbit, providing crucial information for space mission planning and satellite operations and is represented as r = -([GM.Earth])/(2*ε) or Orbit Radius = -([GM.Earth])/(2*Specific Energy of Orbit). 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.

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

Orbital Radius Given Specific Energy of Circular Orbit formula is defined as a measure of the distance of an object from the center of the Earth in a circular orbit, which is influenced by the gravitational constant and the specific energy of the orbit, providing crucial information for space mission planning and satellite operations is calculated using Orbit Radius = -([GM.Earth])/(2*Specific Energy of Orbit). To calculate Orbital Radius Given Specific Energy of Circular Orbit, you need Specific Energy of Orbit (ε). With our tool, you need to enter the respective value for Specific Energy of 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 Specific Energy of 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 = [GM.Earth]/Velocity of Circular Orbit^2
Orbit Radius = ((Time Period of Orbit*sqrt([GM.Earth]))/(2*pi))^(2/3)

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