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Velocity of Circular Orbit Formula

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

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

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

Velocity of Circular Orbit Example

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

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

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

6.0586 = \sqrt{\frac{4E+14}{10859}}

6.0586km/s = \sqrt{\frac{4E+14m³/s²}{10859km}}

6.0586 = \sqrt{\frac{4E+14}{10859}}

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Velocity of Circular Orbit Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

v cir = \sqrt{\frac{[GM.Earth]}{10859km}}

Next Step Substitute values of Constants

∴

v cir = \sqrt{\frac{4E+14m³/s²}{10859km}}

Next Step Convert Units

∴

v cir = \sqrt{\frac{4E+14m³/s²}{1.1E+7m}}

Next Step Prepare to Evaluate

∴

v cir = \sqrt{\frac{4E+14}{1.1E+7}}

Next Step Evaluate

∴

v cir = 6058.62358721996m/s

Next Step Convert to Output's Unit

∴

v cir = 6.05862358721996km/s

LAST Step Rounding Answer

∴

v cir = 6.0586km/s

Velocity of Circular Orbit Formula Elements

Variables

Constants

Functions

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

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 Circular Orbital Radius Given Velocity of Circular Orbit

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

Go Time Period of Circular Orbit

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

How to Evaluate Velocity of Circular Orbit?

Velocity of Circular Orbit evaluator uses Velocity of Circular Orbit = sqrt([GM.Earth]/Orbit Radius) to evaluate the Velocity of Circular Orbit, Velocity of Circular Orbit formula is defined as a measure of the speed at which an object orbits around a celestial body, such as a planet, in a circular path, influenced by the gravitational force of the central body and the radius of the orbit. Velocity of Circular Orbit is denoted by v_cir symbol.

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

FAQs on Velocity of Circular Orbit

What is the formula to find Velocity of Circular Orbit?

The formula of Velocity of Circular Orbit is expressed as Velocity of Circular Orbit = sqrt([GM.Earth]/Orbit Radius). Here is an example- 0.006059 = sqrt([GM.Earth]/10859000).

How to calculate Velocity of Circular Orbit?

With Orbit Radius (r) we can find Velocity of Circular Orbit using the formula - Velocity of Circular Orbit = sqrt([GM.Earth]/Orbit Radius). This formula also uses Earth’s Geocentric Gravitational Constant and Square Root (sqrt) function(s).

Can the Velocity of Circular Orbit be negative?

No, the Velocity of Circular Orbit, measured in Speed cannot be negative.

Which unit is used to measure Velocity of Circular Orbit?

Velocity of Circular Orbit is usually measured using the Kilometer per Second[km/s] for Speed. Meter per Second[km/s], Meter per Minute[km/s], Meter per Hour[km/s] are the few other units in which Velocity of Circular Orbit can be measured.

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