Geo Radius given Absolute Angular Velocity of Earth Calculator

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

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

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Geo Radius given Absolute Angular Velocity of Earth Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

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

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Angular Speed of the Earth: 7.2921159E-05 Radian per Second --> 7.2921159E-05 Radian per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_gso = ([GM.Earth]/Ω_E^2)^(1/3) --> ([GM.Earth]/7.2921159E-05^2)^(1/3)

Evaluating ... ...

R_gso = 42164169.4618618

STEP 3: Convert Result to Output's Unit

42164169.4618618 Meter -->42164.1694618618 Kilometer (Check conversion here)

FINAL ANSWER

42164.1694618618 ≈ 42164.17 Kilometer <-- Geostationary Radius

(Calculation completed in 00.020 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

Geo Radius given Absolute Angular Velocity of Earth Formula

LaTeX Go

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

What is GEO radius ?

The geostationary radius, refers to the distance from the center of the Earth to the point where a satellite in geostationary orbit orbits the Earth. It's essentially the altitude of a satellite in geostationary orbit above the Earth's surface.

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

Geo Radius given Absolute Angular Velocity of Earth calculator uses Geostationary Radius = ([GM.Earth]/Angular Speed of the Earth^2)^(1/3) to calculate 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 calculate Geo Radius given Absolute Angular Velocity of Earth using this online calculator? To use this online calculator for Geo Radius given Absolute Angular Velocity of Earth, enter Angular Speed of the Earth (Ω_E) and hit the calculate button. Here is how the Geo Radius given Absolute Angular Velocity of Earth calculation can be explained with given input values -> 42.16417 = ([GM.Earth]/7.2921159E-05^2)^(1/3).

FAQ

What is Geo Radius given Absolute Angular Velocity of Earth?

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 and is represented as R_gso = ([GM.Earth]/Ω_E^2)^(1/3) or Geostationary Radius = ([GM.Earth]/Angular Speed of the Earth^2)^(1/3). Angular Speed of the Earth is the measure of how fast the central angle of a rotating body changes with respect to time.

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

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 is calculated using Geostationary Radius = ([GM.Earth]/Angular Speed of the Earth^2)^(1/3). To calculate Geo Radius given Absolute Angular Velocity of Earth, you need Angular Speed of the Earth (Ω_E). With our tool, you need to enter the respective value for Angular Speed of the Earth 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 Geostationary Radius?

In this formula, Geostationary Radius uses Angular Speed of the Earth. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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