Speed of Satellite in its Circular GEO of Radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Speed of Satellite = sqrt([GM.Earth]/(Geostationary Radius))
v = sqrt([GM.Earth]/(Rgso))
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
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
Geostationary Radius: 42164.17 Kilometer --> 42164170 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
v = sqrt([GM.Earth]/(Rgso)) --> sqrt([GM.Earth]/(42164170))
Evaluating ... ...
v = 3074.66008581054
STEP 3: Convert Result to Output's Unit
3074.66008581054 Meter per Second -->3.07466008581055 Kilometer per Second (Check conversion ​here)
FINAL ANSWER
3.07466008581055 3.07466 Kilometer per Second <-- Speed of Satellite
(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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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

Speed of Satellite in its Circular GEO of Radius Formula

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

What is Speed of Satellite ?

The speed of a satellite refers to the velocity at which it moves while orbiting around a celestial body, such as the Earth. This velocity is determined by the balance between the gravitational force pulling the satellite towards the central body and the centrifugal force pushing it outward due to its orbital motion.

How to Calculate Speed of Satellite in its Circular GEO of Radius?

Speed of Satellite in its Circular GEO of Radius calculator uses Speed of Satellite = sqrt([GM.Earth]/(Geostationary Radius)) to calculate the Speed of Satellite, Speed of Satellite in its Circular GEO of Radius formula is defined as the velocity at which a satellite orbits the Earth in a circular geosynchronous orbit, dependent on the gravitational constant and the radius of the orbit. Speed of Satellite is denoted by v symbol.

How to calculate Speed of Satellite in its Circular GEO of Radius using this online calculator? To use this online calculator for Speed of Satellite in its Circular GEO of Radius, enter Geostationary Radius (Rgso) and hit the calculate button. Here is how the Speed of Satellite in its Circular GEO of Radius calculation can be explained with given input values -> 0.003075 = sqrt([GM.Earth]/(42164170)).

FAQ

What is Speed of Satellite in its Circular GEO of Radius?
Speed of Satellite in its Circular GEO of Radius formula is defined as the velocity at which a satellite orbits the Earth in a circular geosynchronous orbit, dependent on the gravitational constant and the radius of the orbit and is represented as v = sqrt([GM.Earth]/(Rgso)) or Speed of Satellite = sqrt([GM.Earth]/(Geostationary Radius)). Geostationary Radius refers to the distance between the Earth's surface and a geostationary satellite in orbit around the Earth.
How to calculate Speed of Satellite in its Circular GEO of Radius?
Speed of Satellite in its Circular GEO of Radius formula is defined as the velocity at which a satellite orbits the Earth in a circular geosynchronous orbit, dependent on the gravitational constant and the radius of the orbit is calculated using Speed of Satellite = sqrt([GM.Earth]/(Geostationary Radius)). To calculate Speed of Satellite in its Circular GEO of Radius, you need Geostationary Radius (Rgso). 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 Speed of Satellite?
In this formula, Speed of Satellite uses Geostationary Radius. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Speed of Satellite = Angular Speed of the Earth*Geostationary Radius
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