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Speed of Satellite in its Circular GEO of Radius Formula

GoGeo Speed along its Circular Path given Absolute Angular Velocity of Earth Formula

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Speed of Satellite is the rate at which a satellite travels in its orbit around a celestial body, such as Earth. Check FAQs

v = \sqrt{\frac{[GM.Earth]}{R gso}}

v - Speed of Satellite?R_gso - Geostationary Radius?[GM.Earth] - Earth’s Geocentric Gravitational Constant?

Speed of Satellite in its Circular GEO of Radius Example

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Here is how the Speed of Satellite in its Circular GEO of Radius equation looks like with Values.

Here is how the Speed of Satellite in its Circular GEO of Radius equation looks like with Units.

Here is how the Speed of Satellite in its Circular GEO of Radius equation looks like.

3.0747 = \sqrt{\frac{4E+14}{42164.17}}

3.0747km/s = \sqrt{\frac{4E+14m³/s²}{42164.17km}}

3.0747 = \sqrt{\frac{4E+14}{42164.17}}

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Speed of Satellite in its Circular GEO of Radius Solution

Follow our step by step solution on how to calculate Speed of Satellite in its Circular GEO of Radius?

FIRST Step Consider the formula

v = \sqrt{\frac{[GM.Earth]}{R gso}}

Next Step Substitute values of Variables

∴

v = \sqrt{\frac{[GM.Earth]}{42164.17km}}

Next Step Substitute values of Constants

∴

v = \sqrt{\frac{4E+14m³/s²}{42164.17km}}

Next Step Convert Units

∴

v = \sqrt{\frac{4E+14m³/s²}{4.2E+7m}}

Next Step Prepare to Evaluate

∴

v = \sqrt{\frac{4E+14}{4.2E+7}}

Next Step Evaluate

∴

v = 3074.66008581054m/s

Next Step Convert to Output's Unit

∴

v = 3.07466008581055km/s

LAST Step Rounding Answer

∴

v = 3.0747km/s

Speed of Satellite in its Circular GEO of Radius Formula Elements

Variables

Constants

Functions

Speed of Satellite

Speed of Satellite is the rate at which a satellite travels in its orbit around a celestial body, such as Earth.

Symbol: v

Measurement: SpeedUnit: km/s

Note: Value should be greater than 0.

Formulas to find Speed of Satellite

Geostationary Radius

Geostationary Radius refers to the distance between the Earth's surface and a geostationary satellite in orbit around the Earth.

Symbol: R_gso

Measurement: LengthUnit: km

Note: Value should be greater than 6371.

Formulas to find Geostationary 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 to find Speed of Satellite

Go Geo Speed along its Circular Path given Absolute Angular Velocity of Earth

v = Ω E \cdot R gso

Other formulas in Geostationary Earth Satellite category

Go Geo Radius given Speed of Satellite in its Circular Geo Orbit

R gso = \frac{[GM.Earth]}{v^{2}}

Go Geo Radius given Absolute Angular Velocity of Earth and Geo Speed

R gso = \frac{v}{Ω E}

Go Absolute Angular Velocity given Geo Radius of Earth and Geo Speed

Ω E = \frac{v}{R gso}

Go Geo Radius given Absolute Angular Velocity of Earth

R gso = {(\frac{[GM.Earth]}{{Ω E}^{2}})}^{\frac{1}{3}}

How to Evaluate Speed of Satellite in its Circular GEO of Radius?

Speed of Satellite in its Circular GEO of Radius evaluator uses Speed of Satellite = sqrt([GM.Earth]/(Geostationary Radius)) to evaluate the Speed of Satellite, Speed of Satellite in its Circular GEO of Radius formula is defined as the velocity at which a satellite orbits the Earth in a circular geosynchronous orbit, dependent on the gravitational constant and the radius of the orbit. Speed of Satellite is denoted by v symbol.

How to evaluate Speed of Satellite in its Circular GEO of Radius using this online evaluator? To use this online evaluator for Speed of Satellite in its Circular GEO of Radius, enter Geostationary Radius (R_gso) and hit the calculate button.

FAQs on Speed of Satellite in its Circular GEO of Radius

What is the formula to find Speed of Satellite in its Circular GEO of Radius?

The formula of Speed of Satellite in its Circular GEO of Radius is expressed as Speed of Satellite = sqrt([GM.Earth]/(Geostationary Radius)). Here is an example- 0.003075 = sqrt([GM.Earth]/(42164170)).

How to calculate Speed of Satellite in its Circular GEO of Radius?

With Geostationary Radius (R_gso) we can find Speed of Satellite in its Circular GEO of Radius using the formula - Speed of Satellite = sqrt([GM.Earth]/(Geostationary Radius)). This formula also uses Earth’s Geocentric Gravitational Constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Speed of Satellite?

Here are the different ways to Calculate Speed of Satellite-

Speed of Satellite=Angular Speed of the Earth*Geostationary Radius

Can the Speed of Satellite in its Circular GEO of Radius be negative?

No, the Speed of Satellite in its Circular GEO of Radius, measured in Speed cannot be negative.

Which unit is used to measure Speed of Satellite in its Circular GEO of Radius?

Speed of Satellite in its Circular GEO of Radius 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 Speed of Satellite in its Circular GEO of Radius can be measured.

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