Specific Energy of Circular Orbit Given Orbital Radius Calculator

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The Two Body Problem

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Circular 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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✖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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Formula

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Specific Energy of Circular Orbit Given Orbital Radius

Formula

`"ε" = -("[GM.Earth]")/(2*"r")`

Example

`"-18353.459886kJ/kg"=-("[GM.Earth]")/(2*"10859km")`

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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 00.004 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

Specific Energy of Circular Orbit Given Orbital Radius Formula

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

What are the 2 main types of energy?

Many forms of energy exist, but they all fall into two basic categories i.e 1) Kinetic Energy 2) Potential Energy.

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, The Specific Energy of Circular Orbit Given Orbital Radius formula is defined as 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 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?

The Specific Energy of Circular Orbit Given Orbital Radius formula is defined as the total orbital energy per unit mass of an orbiting body. It is the sum of the kinetic energy and the gravitational potential energy 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?

The Specific Energy of Circular Orbit Given Orbital Radius formula is defined as the total orbital energy per unit mass of an orbiting body. It is the sum of the kinetic energy and the gravitational potential energy 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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