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Specific Energy of Circular Orbit Given Orbital Radius Formula

GoSpecific Energy of Circular Orbit Formula

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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. Check FAQs

ε = - \frac{[GM.Earth]}{2 \cdot r}

ε - Specific Energy of Orbit?r - Orbit Radius?[GM.Earth] - Earth’s Geocentric Gravitational Constant?

Specific Energy of Circular Orbit Given Orbital Radius Example

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Here is how the Specific Energy of Circular Orbit Given Orbital Radius equation looks like with Values.

Here is how the Specific Energy of Circular Orbit Given Orbital Radius equation looks like with Units.

Here is how the Specific Energy of Circular Orbit Given Orbital Radius equation looks like.

-18353.4599 = - \frac{4E+14}{2 \cdot 10859}

-18353.4599kJ/kg = - \frac{4E+14m³/s²}{2 \cdot 10859km}

-18353.4599 = - \frac{4E+14}{2 \cdot 10859}

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Specific Energy of Circular Orbit Given Orbital Radius Solution

Follow our step by step solution on how to calculate Specific Energy of Circular Orbit Given Orbital Radius?

FIRST Step Consider the formula

ε = - \frac{[GM.Earth]}{2 \cdot r}

Next Step Substitute values of Variables

∴

ε = - \frac{[GM.Earth]}{2 \cdot 10859km}

Next Step Substitute values of Constants

∴

ε = - \frac{4E+14m³/s²}{2 \cdot 10859km}

Next Step Convert Units

∴

ε = - \frac{4E+14m³/s²}{2 \cdot 1.1E+7m}

Next Step Prepare to Evaluate

∴

ε = - \frac{4E+14}{2 \cdot 1.1E+7}

Next Step Evaluate

∴

ε = -18353459.885809J/kg

Next Step Convert to Output's Unit

∴

ε = -18353.459885809kJ/kg

LAST Step Rounding Answer

∴

ε = -18353.4599kJ/kg

Specific Energy of Circular Orbit Given Orbital Radius Formula Elements

Variables

Constants

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.

Symbol: ε

Measurement: Specific EnergyUnit: kJ/kg

Note: Value can be positive or negative.

Formulas to find Specific Energy of Orbit

Orbit Radius

The Orbit Radius is defined as the distance from the center of the orbit to the orbit's path.

Symbol: r

Measurement: LengthUnit: km

Note: Value should be greater than 0.

Formulas to find Orbit Radius

Earth’s Geocentric Gravitational Constant

Earth’s Geocentric Gravitational Constant the gravitational parameter for the Earth as the central body.

Symbol: [GM.Earth]

Value: 3.986004418E+14 m³/s²

Other Formulas to find Specific Energy of Orbit

Go Specific Energy of Circular Orbit

ε = - \frac{{[GM.Earth]}^{2}}{2 \cdot {h c}^{2}}

Other formulas in Circular Orbit Parameters category

Go Orbital Period

T or = 2 \cdot π \cdot \sqrt{\frac{r^{3}}{[G.] \cdot M}}

Go Circular Orbital Radius

r = \frac{{h c}^{2}}{[GM.Earth]}

Go Velocity of Circular Orbit

v cir = \sqrt{\frac{[GM.Earth]}{r}}

Go Circular Orbital Radius Given Velocity of Circular Orbit

r = \frac{[GM.Earth]}{{v cir}^{2}}

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

Specific Energy of Circular Orbit Given Orbital Radius evaluator uses Specific Energy of Orbit = -([GM.Earth])/(2*Orbit Radius) to evaluate 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 evaluate Specific Energy of Circular Orbit Given Orbital Radius using this online evaluator? To use this online evaluator for Specific Energy of Circular Orbit Given Orbital Radius, enter Orbit Radius (r) and hit the calculate button.

FAQs on Specific Energy of Circular Orbit Given Orbital Radius

What is the formula to find Specific Energy of Circular Orbit Given Orbital Radius?

The formula of Specific Energy of Circular Orbit Given Orbital Radius is expressed as Specific Energy of Orbit = -([GM.Earth])/(2*Orbit Radius). Here is an example- -18.35346 = -([GM.Earth])/(2*10859000).

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

With Orbit Radius (r) we can find Specific Energy of Circular Orbit Given Orbital Radius using the formula - Specific Energy of Orbit = -([GM.Earth])/(2*Orbit Radius). This formula also uses Earth’s Geocentric Gravitational Constant .

What are the other ways to Calculate Specific Energy of Orbit?

Here are the different ways to Calculate Specific Energy of Orbit-

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

Can the Specific Energy of Circular Orbit Given Orbital Radius be negative?

Yes, the Specific Energy of Circular Orbit Given Orbital Radius, measured in Specific Energy can be negative.

Which unit is used to measure Specific Energy of Circular Orbit Given Orbital Radius?

Specific Energy of Circular Orbit Given Orbital Radius is usually measured using the Kilojoule per Kilogram[kJ/kg] for Specific Energy. Joule per Kilogram[kJ/kg], Joule per Gram[kJ/kg], Joule per Centigram[kJ/kg] are the few other units in which Specific Energy of Circular Orbit Given Orbital Radius can be measured.

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