Speed of Satellite in Circular LEO as Function of Altitude Calculator

✖Height of Satellite is the distance between the satellite's position above the Earth's surface and the Earth's surface itself.ⓘ Height of Satellite [z]

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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 Circular LEO as Function of Altitude [v]

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Speed of Satellite in Circular LEO as Function of Altitude Solution

STEP 0: Pre-Calculation Summary

Formula Used

Speed of Satellite = sqrt([GM.Earth]/([Earth-R]+Height of Satellite))
v = sqrt([GM.Earth]/([Earth-R]+z))
This formula uses 2 Constants, 1 Functions, 2 Variables

Constants Used

[GM.Earth] - Earth’s Geocentric Gravitational Constant Value Taken As 3.986004418E+14
[Earth-R] - Earth mean radius Value Taken As 6371.0088

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.
Height of Satellite - (Measured in Meter) - Height of Satellite is the distance between the satellite's position above the Earth's surface and the Earth's surface itself.

STEP 1: Convert Input(s) to Base Unit

Height of Satellite: 34000 Kilometer --> 34000000 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v = sqrt([GM.Earth]/([Earth-R]+z)) --> sqrt([GM.Earth]/([Earth-R]+34000000))

Evaluating ... ...

v = 3142.20190054288

STEP 3: Convert Result to Output's Unit

3142.20190054288 Meter per Second -->3.14220190054288 Kilometer per Second (Check conversion here)

FINAL ANSWER

3.14220190054288 ≈ 3.142202 Kilometer per Second <-- Speed of Satellite

(Calculation completed in 00.020 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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< Circular Orbit Parameters Calculators

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Speed of Satellite in Circular LEO as Function of Altitude Formula

LaTeX Go

Speed of Satellite = sqrt([GM.Earth]/([Earth-R]+Height of Satellite))
v = sqrt([GM.Earth]/([Earth-R]+z))

What is LEO ?

LEO stands for Low Earth Orbit. It refers to a region of space relatively close to the Earth's surface, typically within a few hundred kilometers to about 2,000 kilometers above the Earth's surface. Satellites in LEO generally orbit at altitudes below 2,000 kilometers.LEO is a common orbit for various types of satellites, including Earth observation satellites, communication satellites, and scientific research satellites.

How to Calculate Speed of Satellite in Circular LEO as Function of Altitude?

Speed of Satellite in Circular LEO as Function of Altitude calculator uses Speed of Satellite = sqrt([GM.Earth]/([Earth-R]+Height of Satellite)) to calculate the Speed of Satellite, Speed of Satellite in Circular LEO as Function of Altitude formula is defined as the velocity at which a satellite orbits the Earth in a circular Low Earth Orbit, dependent on the altitude of the satellite above the Earth's surface, and is a critical parameter in the design and operation of satellites in space missions. Speed of Satellite is denoted by v symbol.

How to calculate Speed of Satellite in Circular LEO as Function of Altitude using this online calculator? To use this online calculator for Speed of Satellite in Circular LEO as Function of Altitude, enter Height of Satellite (z) and hit the calculate button. Here is how the Speed of Satellite in Circular LEO as Function of Altitude calculation can be explained with given input values -> 0.007847 = sqrt([GM.Earth]/([Earth-R]+height_of_satellite)).

FAQ

What is Speed of Satellite in Circular LEO as Function of Altitude?

Speed of Satellite in Circular LEO as Function of Altitude formula is defined as the velocity at which a satellite orbits the Earth in a circular Low Earth Orbit, dependent on the altitude of the satellite above the Earth's surface, and is a critical parameter in the design and operation of satellites in space missions and is represented as v = sqrt([GM.Earth]/([Earth-R]+z)) or Speed of Satellite = sqrt([GM.Earth]/([Earth-R]+Height of Satellite)). Height of Satellite is the distance between the satellite's position above the Earth's surface and the Earth's surface itself.

How to calculate Speed of Satellite in Circular LEO as Function of Altitude?

Speed of Satellite in Circular LEO as Function of Altitude formula is defined as the velocity at which a satellite orbits the Earth in a circular Low Earth Orbit, dependent on the altitude of the satellite above the Earth's surface, and is a critical parameter in the design and operation of satellites in space missions is calculated using Speed of Satellite = sqrt([GM.Earth]/([Earth-R]+Height of Satellite)). To calculate Speed of Satellite in Circular LEO as Function of Altitude, you need Height of Satellite (z). With our tool, you need to enter the respective value for Height of Satellite and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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