Speed of Satellite in its Circular GEO of Radius 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

✖Geostationary Radius refers to the distance between the Earth's surface and a geostationary satellite in orbit around the Earth.ⓘ Geostationary Radius [R_gso]

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✖Speed of Satellite is the rate at which a satellite travels in its orbit around a celestial body, such as Earth.ⓘ Speed of Satellite in its Circular GEO of Radius [v]

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Formula

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Speed of Satellite in its Circular GEO of Radius

Formula

`"v" = sqrt("[GM.Earth]"/("R"_{"gso"}))`

Example

`"3.07466km/s"=sqrt("[GM.Earth]"/("42164.17km"))`

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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]/(R_gso))
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]/(R_gso)) --> 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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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

Speed of Satellite in its Circular GEO of Radius Formula

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

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 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, The Speed of Satellite in its Circular GEO of Radius formula is defined as velocity at which a satellite orbits the Earth in a geostationary 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 (R_gso) 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?

The Speed of Satellite in its Circular GEO of Radius formula is defined as velocity at which a satellite orbits the Earth in a geostationary orbit and is represented as v = sqrt([GM.Earth]/(R_gso)) 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?

The Speed of Satellite in its Circular GEO of Radius formula is defined as velocity at which a satellite orbits the Earth in a geostationary 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 (R_gso). 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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