Specific Energy of Circular Orbit 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

✖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 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 [ε]

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Formula

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Specific Energy of Circular Orbit

Formula

`"ε" = -("[GM.Earth]"^2)/(2*"h"_{"c"}^2)`

Example

`"-18354.349007kJ/kg"=-("[GM.Earth]"^2)/(2*("65789km²/s")^2)`

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Specific Energy of Circular Orbit Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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

ε = -([GM.Earth]^2)/(2*h_c^2) --> -([GM.Earth]^2)/(2*65789000000^2)

Evaluating ... ...

ε = -18354349.0073827

STEP 3: Convert Result to Output's Unit

-18354349.0073827 Joule per Kilogram -->-18354.3490073827 Kilojoule per Kilogram (Check conversion here)

FINAL ANSWER

-18354.3490073827 ≈ -18354.349007 Kilojoule per Kilogram <-- Specific Energy of Orbit

(Calculation completed in 00.004 seconds)

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

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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 Formula

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

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?

Specific Energy of Circular Orbit calculator uses Specific Energy of Orbit = -([GM.Earth]^2)/(2*Angular Momentum of Circular Orbit^2) to calculate the Specific Energy of Orbit, The Specific Energy of Circular Orbit 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 using this online calculator? To use this online calculator for Specific Energy of Circular Orbit, enter Angular Momentum of Circular Orbit (h_c) and hit the calculate button. Here is how the Specific Energy of Circular Orbit calculation can be explained with given input values -> -18.354349 = -([GM.Earth]^2)/(2*65789000000^2).

FAQ

What is Specific Energy of Circular Orbit?

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

The Specific Energy of Circular Orbit 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)/(2*Angular Momentum of Circular Orbit^2). To calculate Specific Energy of Circular Orbit, 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 Specific Energy of Orbit?

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

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

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