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Orbital Radius Given Specific Energy of Circular Orbit Formula

GoCircular Orbital Radius Formula

GoCircular Orbital Radius Given Velocity of Circular Orbit Formula

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

r = - \frac{[GM.Earth]}{2 \cdot ε}

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

Orbital Radius Given Specific Energy of Circular Orbit Example

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

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

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

10858.6804 = - \frac{4E+14}{2 \cdot -18354}

10858.6804km = - \frac{4E+14m³/s²}{2 \cdot -18354kJ/kg}

10858.6804 = - \frac{4E+14}{2 \cdot -18354}

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Orbital Radius Given Specific Energy of Circular Orbit Solution

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

FIRST Step Consider the formula

r = - \frac{[GM.Earth]}{2 \cdot ε}

Next Step Substitute values of Variables

∴

r = - \frac{[GM.Earth]}{2 \cdot -18354kJ/kg}

Next Step Substitute values of Constants

∴

r = - \frac{4E+14m³/s²}{2 \cdot -18354kJ/kg}

Next Step Convert Units

∴

r = - \frac{4E+14m³/s²}{2 \cdot -18354000J/kg}

Next Step Prepare to Evaluate

∴

r = - \frac{4E+14}{2 \cdot -18354000}

Next Step Evaluate

∴

r = 10858680.4456794m

Next Step Convert to Output's Unit

∴

r = 10858.6804456794km

LAST Step Rounding Answer

∴

r = 10858.6804km

Orbital Radius Given Specific Energy of Circular Orbit Formula Elements

Variables

Constants

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

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

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 Orbit Radius

Go Circular Orbital Radius

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

Go Circular Orbital Radius Given Velocity of Circular Orbit

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

Go Circular Orbital Radius Given Time Period of Circular Orbit

r = {(\frac{T or \cdot \sqrt{[GM.Earth]}}{2 \cdot π})}^{\frac{2}{3}}

Other formulas in Circular Orbit Parameters category

Go Orbital Period

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

Go Velocity of Circular Orbit

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

Go Time Period of Circular Orbit

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

Go Specific Energy of Circular Orbit

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

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

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

FAQs on Orbital Radius Given Specific Energy of Circular Orbit

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

The formula of Orbital Radius Given Specific Energy of Circular Orbit is expressed as Orbit Radius = -([GM.Earth])/(2*Specific Energy of Orbit). Here is an example- 10.87883 = -([GM.Earth])/(2*(-18354000)).

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

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

What are the other ways to Calculate Orbit Radius?

Here are the different ways to Calculate Orbit Radius-

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)

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

No, the Orbital Radius Given Specific Energy of Circular Orbit, measured in Length cannot be negative.

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

Orbital Radius Given Specific Energy of Circular Orbit is usually measured using the Kilometer[km] for Length. Meter[km], Millimeter[km], Decimeter[km] are the few other units in which Orbital Radius Given Specific Energy of Circular Orbit can be measured.

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