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Circular Orbital Radius Given Velocity of Circular Orbit Formula

GoCircular Orbital Radius Formula

GoCircular Orbital Radius Given Time Period 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]}{{v cir}^{2}}

r - Orbit Radius?v_cir - Velocity of Circular Orbit?[GM.Earth] - Earth’s Geocentric Gravitational Constant?

Circular Orbital Radius Given Velocity of Circular Orbit Example

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

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

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

10889.9786 = \frac{4E+14}{{6.05}^{2}}

10889.9786km = \frac{4E+14m³/s²}{{6.05km/s}^{2}}

10889.9786 = \frac{4E+14}{{6.05}^{2}}

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Circular Orbital Radius Given Velocity of Circular Orbit Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r = \frac{[GM.Earth]}{{6.05km/s}^{2}}

Next Step Substitute values of Constants

∴

r = \frac{4E+14m³/s²}{{6.05km/s}^{2}}

Next Step Convert Units

∴

r = \frac{4E+14m³/s²}{{6050m/s}^{2}}

Next Step Prepare to Evaluate

∴

r = \frac{4E+14}{6050^{2}}

Next Step Evaluate

∴

r = 10889978.6025545m

Next Step Convert to Output's Unit

∴

r = 10889.9786025545km

LAST Step Rounding Answer

∴

r = 10889.9786km

Circular Orbital Radius Given Velocity 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

Velocity of Circular Orbit

Velocity of Circular Orbit is the speed of a body in a circular orbit.

Symbol: v_cir

Measurement: SpeedUnit: km/s

Note: Value should be greater than 0.

Formulas to find Velocity of Circular 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 Time Period of Circular Orbit

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

Go Orbital Radius Given Specific Energy of Circular Orbit

r = - \frac{[GM.Earth]}{2 \cdot ε}

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 Circular Orbital Radius Given Velocity of Circular Orbit?

Circular Orbital Radius Given Velocity of Circular Orbit evaluator uses Orbit Radius = [GM.Earth]/Velocity of Circular Orbit^2 to evaluate the Orbit Radius, Circular Orbital Radius Given Velocity of Circular Orbit formula is defined as the distance from the center of the Earth to an object in circular orbit, which is a critical parameter in understanding the motion of satellites, spaceships, and other objects orbiting the Earth. Orbit Radius is denoted by r symbol.

How to evaluate Circular Orbital Radius Given Velocity of Circular Orbit using this online evaluator? To use this online evaluator for Circular Orbital Radius Given Velocity of Circular Orbit, enter Velocity of Circular Orbit (v_cir) and hit the calculate button.

FAQs on Circular Orbital Radius Given Velocity of Circular Orbit

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

The formula of Circular Orbital Radius Given Velocity of Circular Orbit is expressed as Orbit Radius = [GM.Earth]/Velocity of Circular Orbit^2. Here is an example- 11.07223 = [GM.Earth]/6050^2.

How to calculate Circular Orbital Radius Given Velocity of Circular Orbit?

With Velocity of Circular Orbit (v_cir) we can find Circular Orbital Radius Given Velocity of Circular Orbit using the formula - Orbit Radius = [GM.Earth]/Velocity of Circular Orbit^2. 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=((Time Period of Orbit*sqrt([GM.Earth]))/(2*pi))^(2/3)
Orbit Radius=-([GM.Earth])/(2*Specific Energy of Orbit)

Can the Circular Orbital Radius Given Velocity of Circular Orbit be negative?

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

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

Circular Orbital Radius Given Velocity 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 Circular Orbital Radius Given Velocity of Circular Orbit can be measured.

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