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

✖Speed of Satellite is the rate at which a satellite travels in its orbit around a celestial body, such as Earth.ⓘ Speed of Satellite [v]			+10% -10%
✖Geostationary Radius refers to the distance between the Earth's surface and a geostationary satellite in orbit around the Earth.ⓘ Geostationary Radius [R_gso]			+10% -10%

✖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 given Geo Radius of Earth and Geo Speed [Ω_E]

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

STEP 0: Pre-Calculation Summary

Formula Used

Angular Speed of the Earth = Speed of Satellite/Geostationary Radius
Ω_E = v/R_gso
This formula uses 3 Variables

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.
Speed of Satellite - (Measured in Meter per Second) - Speed of Satellite is the rate at which a satellite travels in its orbit around a celestial body, such as Earth.
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

Speed of Satellite: 3.07 Kilometer per Second --> 3070 Meter per Second (Check conversion here)
Geostationary Radius: 42164.17 Kilometer --> 42164170 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Ω_E = v/R_gso --> 3070/42164170

Evaluating ... ...

Ω_E = 7.2810635190969E-05

STEP 3: Convert Result to Output's Unit

7.2810635190969E-05 Radian per Second --> No Conversion Required

FINAL ANSWER

7.2810635190969E-05 ≈ 7.3E-5 Radian per Second <-- Angular Speed of the Earth

(Calculation completed in 00.020 seconds)

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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 given Geo Radius of Earth and Geo Speed Formula

LaTeX Go

Angular Speed of the Earth = Speed of Satellite/Geostationary Radius
Ω_E = v/R_gso

What is Absolute Angular Velocity ?

The absolute angular velocity of an object in a circular motion is a measure of how fast it rotates around a fixed point, expressed in radians per unit time. In simpler terms, it describes how quickly an object moves through angle as it travels along its circular path.

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

Absolute Angular Velocity given Geo Radius of Earth and Geo Speed calculator uses Angular Speed of the Earth = Speed of Satellite/Geostationary Radius to calculate the Angular Speed of the Earth, Absolute Angular Velocity given Geo Radius of Earth and Geo Speed formula is defined as a measure of the rate of rotation of an object in circular orbit around the Earth, providing a fundamental parameter in understanding the dynamics of satellite motion and Earth's gravitational influence. Angular Speed of the Earth is denoted by Ω_E symbol.

How to calculate Absolute Angular Velocity given Geo Radius of Earth and Geo Speed using this online calculator? To use this online calculator for Absolute Angular Velocity given Geo Radius of Earth and Geo Speed, enter Speed of Satellite (v) & Geostationary Radius (R_gso) and hit the calculate button. Here is how the Absolute Angular Velocity given Geo Radius of Earth and Geo Speed calculation can be explained with given input values -> 0.000186 = 3070/42164170.

FAQ

What is Absolute Angular Velocity given Geo Radius of Earth and Geo Speed?

Absolute Angular Velocity given Geo Radius of Earth and Geo Speed formula is defined as a measure of the rate of rotation of an object in circular orbit around the Earth, providing a fundamental parameter in understanding the dynamics of satellite motion and Earth's gravitational influence and is represented as Ω_E = v/R_gso or Angular Speed of the Earth = Speed of Satellite/Geostationary Radius. Speed of Satellite is the rate at which a satellite travels in its orbit around a celestial body, such as Earth & 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 given Geo Radius of Earth and Geo Speed?

Absolute Angular Velocity given Geo Radius of Earth and Geo Speed formula is defined as a measure of the rate of rotation of an object in circular orbit around the Earth, providing a fundamental parameter in understanding the dynamics of satellite motion and Earth's gravitational influence is calculated using Angular Speed of the Earth = Speed of Satellite/Geostationary Radius. To calculate Absolute Angular Velocity given Geo Radius of Earth and Geo Speed, you need Speed of Satellite (v) & Geostationary Radius (R_gso). With our tool, you need to enter the respective value for Speed of Satellite & 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 Speed of Satellite & Geostationary Radius. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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