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Speed of Satellite in Circular LEO as Function of Altitude Formula

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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. Check FAQs

v = \sqrt{\frac{[GM.Earth]}{[Earth-R] + z}}

v - Speed of Satellite?z - Height of Satellite?[GM.Earth] - Earth’s Geocentric Gravitational Constant?[Earth-R] - Earth mean radius?

Speed of Satellite in Circular LEO as Function of Altitude Example

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Here is how the Speed of Satellite in Circular LEO as Function of Altitude equation looks like with Values.

Here is how the Speed of Satellite in Circular LEO as Function of Altitude equation looks like with Units.

Here is how the Speed of Satellite in Circular LEO as Function of Altitude equation looks like.

3.1422 = \sqrt{\frac{4E+14}{6371.0088 + 34000}}

3.1422km/s = \sqrt{\frac{4E+14m³/s²}{6371.0088km + 34000km}}

3.1422 = \sqrt{\frac{4E+14}{6371.0088 + 34000}}

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Speed of Satellite in Circular LEO as Function of Altitude Solution

Follow our step by step solution on how to calculate Speed of Satellite in Circular LEO as Function of Altitude?

FIRST Step Consider the formula

v = \sqrt{\frac{[GM.Earth]}{[Earth-R] + z}}

Next Step Substitute values of Variables

∴

v = \sqrt{\frac{[GM.Earth]}{[Earth-R] + 34000km}}

Next Step Substitute values of Constants

∴

v = \sqrt{\frac{4E+14m³/s²}{6371.0088km + 34000km}}

Next Step Convert Units

∴

v = \sqrt{\frac{4E+14m³/s²}{6371.0088km + 3.4E+7m}}

Next Step Prepare to Evaluate

∴

v = \sqrt{\frac{4E+14}{6371.0088 + 3.4E+7}}

Next Step Evaluate

∴

v = 3142.20190054288m/s

Next Step Convert to Output's Unit

∴

v = 3.14220190054288km/s

LAST Step Rounding Answer

∴

v = 3.1422km/s

Speed of Satellite in Circular LEO as Function of Altitude Formula Elements

Variables

Constants

Functions

Speed of Satellite

Speed of Satellite is the rate at which a satellite travels in its orbit around a celestial body, such as Earth.

Symbol: v

Measurement: SpeedUnit: km/s

Note: Value should be greater than 0.

Formulas to find Speed of Satellite

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.

Symbol: z

Measurement: LengthUnit: km

Note: Value should be greater than 0.

Formulas to find Height of Satellite

Earth’s Geocentric Gravitational Constant

Earth’s Geocentric Gravitational Constant the gravitational parameter for the Earth as the central body.

Symbol: [GM.Earth]

Value: 3.986004418E+14 m³/s²

Earth mean radius

Earth mean radius represents the average distance from the Earth's center to any point on its surface, providing a single value to characterize the size of the Earth.

Symbol: [Earth-R]

Value: 6371.0088 km

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.

Syntax: sqrt(Number)

Other formulas in Circular Orbit Parameters category

Go Orbital Period

T or = 2 \cdot π \cdot \sqrt{\frac{r^{3}}{[G.] \cdot M}}

Go Circular Orbital Radius

r = \frac{{h c}^{2}}{[GM.Earth]}

Go Velocity of Circular Orbit

v cir = \sqrt{\frac{[GM.Earth]}{r}}

Go Circular Orbital Radius Given Velocity of Circular Orbit

r = \frac{[GM.Earth]}{{v cir}^{2}}

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

Speed of Satellite in Circular LEO as Function of Altitude evaluator uses Speed of Satellite = sqrt([GM.Earth]/([Earth-R]+Height of Satellite)) to evaluate 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 evaluate Speed of Satellite in Circular LEO as Function of Altitude using this online evaluator? To use this online evaluator for Speed of Satellite in Circular LEO as Function of Altitude, enter Height of Satellite (z) and hit the calculate button.

FAQs on Speed of Satellite in Circular LEO as Function of Altitude

What is the formula to find Speed of Satellite in Circular LEO as Function of Altitude?

The formula of Speed of Satellite in Circular LEO as Function of Altitude is expressed as Speed of Satellite = sqrt([GM.Earth]/([Earth-R]+Height of Satellite)). Here is an example- 0.007847 = sqrt([GM.Earth]/([Earth-R]+height_of_satellite)).

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

With Height of Satellite (z) we can find Speed of Satellite in Circular LEO as Function of Altitude using the formula - Speed of Satellite = sqrt([GM.Earth]/([Earth-R]+Height of Satellite)). This formula also uses Earth’s Geocentric Gravitational Constant, Earth mean radius constant(s) and Square Root (sqrt) function(s).

Can the Speed of Satellite in Circular LEO as Function of Altitude be negative?

No, the Speed of Satellite in Circular LEO as Function of Altitude, measured in Speed cannot be negative.

Which unit is used to measure Speed of Satellite in Circular LEO as Function of Altitude?

Speed of Satellite in Circular LEO as Function of Altitude is usually measured using the Kilometer per Second[km/s] for Speed. Meter per Second[km/s], Meter per Minute[km/s], Meter per Hour[km/s] are the few other units in which Speed of Satellite in Circular LEO as Function of Altitude can be measured.

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