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

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The Two Body Problem

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Circular Orbits

Elliptical Orbits

Fundamental Parameters

Hyperbolic Orbits

Parabolic Orbits

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Geostationary Earth Satellite

Circular Orbit Parameters

✖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%
✖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]			+10% -10%

✖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 and Geo Speed [R_gso]

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Formula

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Geo Radius Given Absolute Angular Velocity of Earth and Geo Speed

Formula

`"R"_{"gso"} = "v"/"Ω"_{"E"}`

Example

`"42100.26km"="3.07km/s"/"7.2921159E^-05rad/s"`

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

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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

Speed of Satellite: 3.07 Kilometer per Second --> 3070 Meter per Second (Check conversion here)
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 = v/Ω_E --> 3070/7.2921159E-05

Evaluating ... ...

R_gso = 42100263.3817161

STEP 3: Convert Result to Output's Unit

42100263.3817161 Meter -->42100.2633817161 Kilometer (Check conversion here)

FINAL ANSWER

42100.2633817161 ≈ 42100.26 Kilometer <-- Geostationary Radius

(Calculation completed in 00.004 seconds)

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Created by Harsh Raj

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

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National Institute Of Technology (NIT), Hamirpur

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< 7 Geostationary Earth Satellite Calculators

Absolute Angular Velocity of Earth Given Geo Radius

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

Speed of Satellite in its Circular GEO of Radius

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

Geo Radius Given Absolute Angular Velocity of Earth

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

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

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

Geo Radius Given Absolute Angular Velocity of Earth and Geo Speed

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

Absolute Angular Velocity Given Geo Radius of Earth and Geo Speed

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

Geo Radius Given Speed of Satellite in its Circular Geo Orbit

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

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

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

Kepler's Laws and Gravitational Attraction

Johannes Kepler's laws of planetary motion, developed in the 17th century, provided significant insights into the relationship between celestial bodies and gravity. Kepler's laws describe the elliptical orbits of planets and other objects in the solar system, all of which are governed by the gravitational pull of the central body, such as the Sun. These laws laid the foundation for understanding how gravity affects the motion of objects in space, paving the way for Sir Isaac Newton's formulation of the law of universal gravitation.

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

Geo Radius Given Absolute Angular Velocity of Earth and Geo Speed calculator uses Geostationary Radius = Speed of Satellite/Angular Speed of the Earth to calculate the Geostationary Radius, The Geo Radius Given Absolute Angular Velocity of Earth and Geo Speed formula is defined as the radius of satellite determined by dividing the Speed of Satellite by the Angular Velocity of Earth. This calculation yields the distance from the center of the Earth to the geostationary satellite's orbital location. Geostationary Radius is denoted by R_gso symbol.

How to calculate Geo Radius Given Absolute Angular Velocity of Earth and Geo Speed using this online calculator? To use this online calculator 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. Here is how the Geo Radius Given Absolute Angular Velocity of Earth and Geo Speed calculation can be explained with given input values -> 107.5134 = 3070/7.2921159E-05.

FAQ

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

The Geo Radius Given Absolute Angular Velocity of Earth and Geo Speed formula is defined as the radius of satellite determined by dividing the Speed of Satellite by the Angular Velocity of Earth. This calculation yields the distance from the center of the Earth to the geostationary satellite's orbital location and is represented as R_gso = v/Ω_E or Geostationary Radius = Speed of Satellite/Angular Speed of the Earth. Speed of Satellite is the rate at which a satellite travels in its orbit around a celestial body, such as Earth & 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 and Geo Speed?

The Geo Radius Given Absolute Angular Velocity of Earth and Geo Speed formula is defined as the radius of satellite determined by dividing the Speed of Satellite by the Angular Velocity of Earth. This calculation yields the distance from the center of the Earth to the geostationary satellite's orbital location is calculated using Geostationary Radius = Speed of Satellite/Angular Speed of the Earth. To calculate Geo Radius Given Absolute Angular Velocity of Earth and Geo Speed, you need Speed of Satellite (v) & Angular Speed of the Earth (Ω_E). With our tool, you need to enter the respective value for Speed of Satellite & 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 Speed of Satellite & 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 = ([GM.Earth]/Angular Speed of the Earth^2)^(1/3)

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