Geo Radius given Speed of Satellite in its Circular Geo Orbit Solution

STEP 0: Pre-Calculation Summary
Formula Used
Geostationary Radius = [GM.Earth]/Speed of Satellite^2
Rgso = [GM.Earth]/v^2
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.
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.
STEP 1: Convert Input(s) to Base Unit
Speed of Satellite: 3.07 Kilometer per Second --> 3070 Meter per Second (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Rgso = [GM.Earth]/v^2 --> [GM.Earth]/3070^2
Evaluating ... ...
Rgso = 42292272.7880402
STEP 3: Convert Result to Output's Unit
42292272.7880402 Meter -->42292.2727880402 Kilometer (Check conversion ​here)
FINAL ANSWER
42292.2727880402 42292.27 Kilometer <-- Geostationary Radius
(Calculation completed in 00.004 seconds)

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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 Speed of Satellite in its Circular Geo Orbit Formula

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

What is satellite ?

A satellite, in the context of space exploration and telecommunications, refers to an object that has been intentionally placed into orbit around a celestial body, such as the Earth, Moon, or another planet. Satellites can be human-made, artificial objects launched into space for various purposes, or natural objects, such as the Moon.

How to Calculate Geo Radius given Speed of Satellite in its Circular Geo Orbit?

Geo Radius given Speed of Satellite in its Circular Geo Orbit calculator uses Geostationary Radius = [GM.Earth]/Speed of Satellite^2 to calculate the Geostationary Radius, Geo Radius given Speed of Satellite in its Circular Geo Orbit formula is defined as a measure of the orbital radius of a satellite in a geosynchronous orbit, which is the distance from the center of the Earth to the satellite, and is critical in determining the satellite's position and velocity in space. Geostationary Radius is denoted by Rgso symbol.

How to calculate Geo Radius given Speed of Satellite in its Circular Geo Orbit using this online calculator? To use this online calculator for Geo Radius given Speed of Satellite in its Circular Geo Orbit, enter Speed of Satellite (v) and hit the calculate button. Here is how the Geo Radius given Speed of Satellite in its Circular Geo Orbit calculation can be explained with given input values -> 6.484935 = [GM.Earth]/3070^2.

FAQ

What is Geo Radius given Speed of Satellite in its Circular Geo Orbit?
Geo Radius given Speed of Satellite in its Circular Geo Orbit formula is defined as a measure of the orbital radius of a satellite in a geosynchronous orbit, which is the distance from the center of the Earth to the satellite, and is critical in determining the satellite's position and velocity in space and is represented as Rgso = [GM.Earth]/v^2 or Geostationary Radius = [GM.Earth]/Speed of Satellite^2. Speed of Satellite is the rate at which a satellite travels in its orbit around a celestial body, such as Earth.
How to calculate Geo Radius given Speed of Satellite in its Circular Geo Orbit?
Geo Radius given Speed of Satellite in its Circular Geo Orbit formula is defined as a measure of the orbital radius of a satellite in a geosynchronous orbit, which is the distance from the center of the Earth to the satellite, and is critical in determining the satellite's position and velocity in space is calculated using Geostationary Radius = [GM.Earth]/Speed of Satellite^2. To calculate Geo Radius given Speed of Satellite in its Circular Geo Orbit, you need Speed of Satellite (v). With our tool, you need to enter the respective value for Speed of Satellite 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. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Geostationary Radius = Speed of Satellite/Angular Speed of the Earth
  • Geostationary Radius = ([GM.Earth]/Angular Speed of the Earth^2)^(1/3)
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