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

GoGeo Radius given Speed of Satellite in its Circular Geo Orbit 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{v}{Ω E}

R_gso - Geostationary Radius?v - Speed of Satellite?Ω_E - Angular Speed of the Earth?

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

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Here is how the Geo Radius given Absolute Angular Velocity of Earth and Geo Speed equation looks like with Values.

Here is how the Geo Radius given Absolute Angular Velocity of Earth and Geo Speed equation looks like with Units.

Here is how the Geo Radius given Absolute Angular Velocity of Earth and Geo Speed equation looks like.

42100.2634 = \frac{3.07}{7.3E-5}

42100.2634km = \frac{3.07km/s}{7.3E-5rad/s}

42100.2634 = \frac{3.07}{7.3E-5}

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

Follow our step by step solution on how to calculate Geo Radius given Absolute Angular Velocity of Earth and Geo Speed?

FIRST Step Consider the formula

R gso = \frac{v}{Ω E}

Next Step Substitute values of Variables

∴

R gso = \frac{3.07km/s}{7.3E-5rad/s}

Next Step Convert Units

∴

R gso = \frac{3070m/s}{7.3E-5rad/s}

Next Step Prepare to Evaluate

∴

R gso = \frac{3070}{7.3E-5}

Next Step Evaluate

∴

R gso = 42100263.3817161m

Next Step Convert to Output's Unit

∴

R gso = 42100.2633817161km

LAST Step Rounding Answer

∴

R gso = 42100.2634km

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

Variables

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

Angular Speed of the Earth

Angular Speed of the Earth is the measure of how fast the central angle of a rotating body changes with respect to time.

Symbol: Ω_E

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Angular Speed of the Earth

Other Formulas to find Geostationary Radius

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

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 Absolute Angular Velocity of Earth and Geo Speed?

Geo Radius given Absolute Angular Velocity of Earth and Geo Speed evaluator uses Geostationary Radius = Speed of Satellite/Angular Speed of the Earth to evaluate the Geostationary Radius, Geo Radius given Absolute Angular Velocity of Earth and Geo Speed formula is defined as a measure of the radius of a circular orbit around the Earth, which is influenced by the Earth's angular velocity and the geo speed, providing a crucial parameter in understanding satellite motion and orbit dynamics. Geostationary Radius is denoted by R_gso symbol.

How to evaluate Geo Radius given Absolute Angular Velocity of Earth and Geo Speed using this online evaluator? To use this online evaluator for Geo Radius given Absolute Angular Velocity of Earth and Geo Speed, enter Speed of Satellite (v) & Angular Speed of the Earth (Ω_E) and hit the calculate button.

FAQs on Geo Radius given Absolute Angular Velocity of Earth and Geo Speed

What is the formula to find Geo Radius given Absolute Angular Velocity of Earth and Geo Speed?

The formula of Geo Radius given Absolute Angular Velocity of Earth and Geo Speed is expressed as Geostationary Radius = Speed of Satellite/Angular Speed of the Earth. Here is an example- 107.5134 = 3070/7.2921159E-05.

How to calculate Geo Radius given Absolute Angular Velocity of Earth and Geo Speed?

With Speed of Satellite (v) & Angular Speed of the Earth (Ω_E) we can find Geo Radius given Absolute Angular Velocity of Earth and Geo Speed using the formula - Geostationary Radius = Speed of Satellite/Angular Speed of the Earth.

What are the other ways to Calculate Geostationary Radius?

Here are the different ways to Calculate Geostationary Radius-

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

Can the Geo Radius given Absolute Angular Velocity of Earth and Geo Speed be negative?

No, the Geo Radius given Absolute Angular Velocity of Earth and Geo Speed, measured in Length cannot be negative.

Which unit is used to measure Geo Radius given Absolute Angular Velocity of Earth and Geo Speed?

Geo Radius given Absolute Angular Velocity of Earth and Geo Speed 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 Absolute Angular Velocity of Earth and Geo Speed can be measured.

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