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Geo Radius given Absolute Angular Velocity of Earth Formula

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

GoGeo Radius given Absolute Angular Velocity of Earth and Geo Speed 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]}{{Ω E}^{2}})}^{\frac{1}{3}}

R_gso - Geostationary Radius?Ω_E - Angular Speed of the Earth?[GM.Earth] - Earth’s Geocentric Gravitational Constant?

Geo Radius given Absolute Angular Velocity of Earth Example

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

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

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

42164.1695 = {(\frac{4E+14}{{7.3E-5}^{2}})}^{\frac{1}{3}}

42164.1695km = {(\frac{4E+14m³/s²}{{7.3E-5rad/s}^{2}})}^{\frac{1}{3}}

42164.1695 = {(\frac{4E+14}{{7.3E-5}^{2}})}^{\frac{1}{3}}

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Geo Radius given Absolute Angular Velocity of Earth Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R gso = {(\frac{[GM.Earth]}{{7.3E-5rad/s}^{2}})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

R gso = {(\frac{4E+14m³/s²}{{7.3E-5rad/s}^{2}})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

R gso = {(\frac{4E+14}{{7.3E-5}^{2}})}^{\frac{1}{3}}

Next Step Evaluate

∴

R gso = 42164169.4618618m

Next Step Convert to Output's Unit

∴

R gso = 42164.1694618618km

LAST Step Rounding Answer

∴

R gso = 42164.1695km

Geo Radius given Absolute Angular Velocity of Earth 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

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

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 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}

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?

Geo Radius given Absolute Angular Velocity of Earth evaluator uses Geostationary Radius = ([GM.Earth]/Angular Speed of the Earth^2)^(1/3) to evaluate the Geostationary Radius, Geo Radius given Absolute Angular Velocity of Earth formula is defined as a measure of the radius of a geosynchronous orbit around the Earth, which is the orbit of a satellite that completes one rotation around the Earth per Earth day, and is dependent on the Earth's mass and angular velocity. Geostationary Radius is denoted by R_gso symbol.

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

FAQs on Geo Radius given Absolute Angular Velocity of Earth

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

The formula of Geo Radius given Absolute Angular Velocity of Earth is expressed as Geostationary Radius = ([GM.Earth]/Angular Speed of the Earth^2)^(1/3). Here is an example- 42.16417 = ([GM.Earth]/7.2921159E-05^2)^(1/3).

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

With Angular Speed of the Earth (Ω_E) we can find Geo Radius given Absolute Angular Velocity of Earth using the formula - Geostationary Radius = ([GM.Earth]/Angular Speed of the Earth^2)^(1/3). 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=[GM.Earth]/Speed of Satellite^2
Geostationary Radius=Speed of Satellite/Angular Speed of the Earth

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

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

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

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

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