Absolute Angular Velocity of Earth given Geo Radius Calculator

✖Geostationary Radius refers to the distance between the Earth's surface and a geostationary satellite in orbit around the Earth.ⓘ Geostationary Radius [R_gso]

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✖Angular Speed of the Earth is the measure of how fast the central angle of a rotating body changes with respect to time.ⓘ Absolute Angular Velocity of Earth given Geo Radius [Ω_E]

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Absolute Angular Velocity of Earth given Geo Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Speed of the Earth = sqrt([GM.Earth]/Geostationary Radius^3)
Ω_E = sqrt([GM.Earth]/R_gso^3)
This formula uses 1 Constants, 1 Functions, 2 Variables

Constants Used

[GM.Earth] - Earth’s Geocentric Gravitational Constant Value Taken As 3.986004418E+14

Functions Used

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., sqrt(Number)

Variables Used

Angular Speed of the Earth - (Measured in Radian per Second) - Angular Speed of the Earth is the measure of how fast the central angle of a rotating body changes with respect to time.
Geostationary Radius - (Measured in Meter) - Geostationary Radius refers to the distance between the Earth's surface and a geostationary satellite in orbit around the Earth.

STEP 1: Convert Input(s) to Base Unit

Geostationary Radius: 42164.17 Kilometer --> 42164170 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Ω_E = sqrt([GM.Earth]/R_gso^3) --> sqrt([GM.Earth]/42164170^3)

Evaluating ... ...

Ω_E = 7.29211576039691E-05

STEP 3: Convert Result to Output's Unit

7.29211576039691E-05 Radian per Second --> No Conversion Required

FINAL ANSWER

7.29211576039691E-05 ≈ 7.3E-5 Radian per Second <-- Angular Speed of the Earth

(Calculation completed in 00.007 seconds)

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Created by Harsh Raj

Indian Institute of Technology, Kharagpur (IIT KGP), West Bengal

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< Geostationary Earth Satellite Calculators

Speed of Satellite in its Circular GEO of Radius

LaTeX Go Speed of Satellite = sqrt([GM.Earth]/(Geostationary Radius))

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

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

Geo Radius given Absolute Angular Velocity of Earth and Geo Speed

LaTeX Go Geostationary Radius = Speed of Satellite/Angular Speed of the Earth

Geo Radius given Speed of Satellite in its Circular Geo Orbit

LaTeX Go Geostationary Radius = [GM.Earth]/Speed of Satellite^2

Absolute Angular Velocity of Earth given Geo Radius Formula

LaTeX Go

Angular Speed of the Earth = sqrt([GM.Earth]/Geostationary Radius^3)
Ω_E = sqrt([GM.Earth]/R_gso^3)

What is GEO ?

GEO stands for Geostationary Earth Orbit or Geosynchronous Equatorial Orbit. It refers to a specific type of orbit around the Earth where a satellite orbits the Earth above the equator in the plane of the Earth's rotation at a fixed position relative to the Earth's surface.

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

Absolute Angular Velocity of Earth given Geo Radius calculator uses Angular Speed of the Earth = sqrt([GM.Earth]/Geostationary Radius^3) to calculate the Angular Speed of the Earth, Absolute Angular Velocity of Earth given Geo Radius formula is defined as a measure of the rate of rotation of the Earth, which is essential in understanding the dynamics of circular orbits and the motion of objects around our planet, providing valuable insights into the Earth's gravitational influence. Angular Speed of the Earth is denoted by Ω_E symbol.

How to calculate Absolute Angular Velocity of Earth given Geo Radius using this online calculator? To use this online calculator for Absolute Angular Velocity of Earth given Geo Radius, enter Geostationary Radius (R_gso) and hit the calculate button. Here is how the Absolute Angular Velocity of Earth given Geo Radius calculation can be explained with given input values -> 0.001138 = sqrt([GM.Earth]/42164170^3).

FAQ

What is Absolute Angular Velocity of Earth given Geo Radius?

Absolute Angular Velocity of Earth given Geo Radius formula is defined as a measure of the rate of rotation of the Earth, which is essential in understanding the dynamics of circular orbits and the motion of objects around our planet, providing valuable insights into the Earth's gravitational influence and is represented as Ω_E = sqrt([GM.Earth]/R_gso^3) or Angular Speed of the Earth = sqrt([GM.Earth]/Geostationary Radius^3). Geostationary Radius refers to the distance between the Earth's surface and a geostationary satellite in orbit around the Earth.

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

Absolute Angular Velocity of Earth given Geo Radius formula is defined as a measure of the rate of rotation of the Earth, which is essential in understanding the dynamics of circular orbits and the motion of objects around our planet, providing valuable insights into the Earth's gravitational influence is calculated using Angular Speed of the Earth = sqrt([GM.Earth]/Geostationary Radius^3). To calculate Absolute Angular Velocity of Earth given Geo Radius, you need Geostationary Radius (R_gso). With our tool, you need to enter the respective value for Geostationary Radius and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Angular Speed of the Earth?

In this formula, Angular Speed of the Earth uses Geostationary Radius. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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