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

GoGeo Radius given Absolute Angular Velocity of Earth and Geo Speed Formula

GoGeo Radius given Absolute Angular Velocity of Earth Formula

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

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

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

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

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

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

Here is how the Geo Radius given Speed of Satellite in its Circular Geo Orbit equation looks like.

42292.2728 = \frac{4E+14}{{3.07}^{2}}

42292.2728km = \frac{4E+14m³/s²}{{3.07km/s}^{2}}

42292.2728 = \frac{4E+14}{{3.07}^{2}}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R gso = \frac{[GM.Earth]}{{3.07km/s}^{2}}

Next Step Substitute values of Constants

∴

R gso = \frac{4E+14m³/s²}{{3.07km/s}^{2}}

Next Step Convert Units

∴

R gso = \frac{4E+14m³/s²}{{3070m/s}^{2}}

Next Step Prepare to Evaluate

∴

R gso = \frac{4E+14}{3070^{2}}

Next Step Evaluate

∴

R gso = 42292272.7880402m

Next Step Convert to Output's Unit

∴

R gso = 42292.2727880402km

LAST Step Rounding Answer

∴

R gso = 42292.2728km

Geo Radius given Speed of Satellite in its Circular Geo Orbit Formula Elements

Variables

Constants

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

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

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 Geostationary Radius

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

R gso = \frac{v}{Ω E}

Go Geo Radius given Absolute Angular Velocity of Earth

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

Other formulas in Geostationary Earth Satellite category

Go Speed of Satellite in its Circular GEO of Radius

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

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

v = Ω E \cdot R gso

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

Ω E = \frac{v}{R gso}

Go Absolute Angular Velocity of Earth given Geo Radius

Ω E = \sqrt{\frac{[GM.Earth]}{{R gso}^{3}}}

How to Evaluate Geo Radius given Speed of Satellite in its Circular Geo Orbit?

Geo Radius given Speed of Satellite in its Circular Geo Orbit evaluator uses Geostationary Radius = [GM.Earth]/Speed of Satellite^2 to evaluate the Geostationary Radius, Geo Radius given Speed of Satellite in its Circular Geo Orbit formula is defined as a measure of the orbital radius of a satellite in a geosynchronous orbit, which is the distance from the center of the Earth to the satellite, and is critical in determining the satellite's position and velocity in space. Geostationary Radius is denoted by R_gso symbol.

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

FAQs on Geo Radius given Speed of Satellite in its Circular Geo Orbit

What is the formula to find Geo Radius given Speed of Satellite in its Circular Geo Orbit?

The formula of Geo Radius given Speed of Satellite in its Circular Geo Orbit is expressed as Geostationary Radius = [GM.Earth]/Speed of Satellite^2. Here is an example- 6.484935 = [GM.Earth]/3070^2.

How to calculate Geo Radius given Speed of Satellite in its Circular Geo Orbit?

With Speed of Satellite (v) we can find Geo Radius given Speed of Satellite in its Circular Geo Orbit using the formula - Geostationary Radius = [GM.Earth]/Speed of Satellite^2. This formula also uses Earth’s Geocentric Gravitational Constant .

What are the other ways to Calculate Geostationary Radius?

Here are the different ways to Calculate Geostationary Radius-

Geostationary Radius=Speed of Satellite/Angular Speed of the Earth
Geostationary Radius=([GM.Earth]/Angular Speed of the Earth^2)^(1/3)

Can the Geo Radius given Speed of Satellite in its Circular Geo Orbit be negative?

No, the Geo Radius given Speed of Satellite in its Circular Geo Orbit, measured in Length cannot be negative.

Which unit is used to measure Geo Radius given Speed of Satellite in its Circular Geo Orbit?

Geo Radius given Speed of Satellite in its Circular Geo Orbit is usually measured using the Kilometer[km] for Length. Meter[km], Millimeter[km], Decimeter[km] are the few other units in which Geo Radius given Speed of Satellite in its Circular Geo Orbit can be measured.

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