Geo Radius Given Speed of Satellite in its Circular Geo Orbit 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]

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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 Speed of Satellite in its Circular Geo Orbit [R_gso]

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Formula

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Geo Radius Given Speed of Satellite in its Circular Geo Orbit

Formula

`"R"_{"gso"} = "[GM.Earth]"/"v"^2`

Example

`"42292.27km"="[GM.Earth]"/("3.07km/s")^2`

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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
R_gso = [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

R_gso = [GM.Earth]/v^2 --> [GM.Earth]/3070^2

Evaluating ... ...

R_gso = 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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Created by Harsh Raj

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

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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 Speed of Satellite in its Circular Geo Orbit Formula

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

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 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, The Geo Radius Given Speed of Satellite in its Circular Geo Orbit formula is defined as distance from the center of the Earth to the satellite's orbital location. This distance is crucial for geostationary satellites to maintain a synchronized position with the Earth's rotation, allowing them to stay fixed relative to a specific point on the Earth's surface. Geostationary Radius is denoted by R_gso 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?

The Geo Radius Given Speed of Satellite in its Circular Geo Orbit formula is defined as distance from the center of the Earth to the satellite's orbital location. This distance is crucial for geostationary satellites to maintain a synchronized position with the Earth's rotation, allowing them to stay fixed relative to a specific point on the Earth's surface and is represented as R_gso = [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?

The Geo Radius Given Speed of Satellite in its Circular Geo Orbit formula is defined as distance from the center of the Earth to the satellite's orbital location. This distance is crucial for geostationary satellites to maintain a synchronized position with the Earth's rotation, allowing them to stay fixed relative to a specific point on the Earth's surface 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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