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Earth Station Altitude Formula

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Earth Station Altitude refers to the elevation or height above sea level at which an Earth station is located. Check FAQs

h o = h rain - L slant \cdot \sin (∠θ el)

h_o - Earth Station Altitude?h_rain - Height of Rain?L_slant - Slant Length?∠θ_el - Angle of Elevation?

Earth Station Altitude Example

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With units

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Here is how the Earth Station Altitude equation looks like with Values.

Here is how the Earth Station Altitude equation looks like with Units.

Here is how the Earth Station Altitude equation looks like.

199.9939 = 209.44 - 14.117 \cdot \sin (42)

199.9939km = 209.44km - 14.117km \cdot \sin (42°)

199.9939 = 209.44 - 14.117 \cdot \sin (42)

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Earth Station Altitude Solution

Follow our step by step solution on how to calculate Earth Station Altitude?

FIRST Step Consider the formula

h o = h rain - L slant \cdot \sin (∠θ el)

Next Step Substitute values of Variables

∴

h o = 209.44km - 14.117km \cdot \sin (42°)

Next Step Convert Units

∴

h o = 209440m - 14117m \cdot \sin (0.733rad)

Next Step Prepare to Evaluate

∴

h o = 209440 - 14117 \cdot \sin (0.733)

Next Step Evaluate

∴

h o = 199993.883230033m

Next Step Convert to Output's Unit

∴

h o = 199.993883230033km

LAST Step Rounding Answer

∴

h o = 199.9939km

Earth Station Altitude Formula Elements

Variables

Functions

Earth Station Altitude

Earth Station Altitude refers to the elevation or height above sea level at which an Earth station is located.

Symbol: h_o

Measurement: LengthUnit: km

Note: Value should be greater than 0.

Formulas to find Earth Station Altitude

Height of Rain

Height of Rain is the height of the rain layer (precipitation) above the Earth's surface along the path between the satellite and the Earth station.

Symbol: h_rain

Measurement: LengthUnit: km

Note: Value should be greater than 0.

Formulas to find Height of Rain

Slant Length

Slant Length refers to the length of path followed by the radio wave signal as it travels from the transmitting satellite to the receiving satellite ground station.

Symbol: L_slant

Measurement: LengthUnit: km

Note: Value should be greater than 0.

Formulas to find Slant Length

Angle of Elevation

The angle of elevation in satellite communication refers to the vertical angle between the horizontal plane and a line connecting an Earth-based satellite dish or antenna to a satellite in space.

Symbol: ∠θ_el

Measurement: AngleUnit: °

Note: Value should be less than 90.

Formulas to find Angle of Elevation

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other formulas in Radio Wave Propagation category

Go Effective Path Length

L eff = \frac{A}{α}

Go Effective Path Length using Reduction Factor

L eff = L slant \cdot r p

Go Rain Height

h rain = L slant \cdot \sin (∠θ el) + h o

Go Reduction Factor using Slant Length

r p = \frac{L eff}{L slant}

How to Evaluate Earth Station Altitude?

Earth Station Altitude evaluator uses Earth Station Altitude = Height of Rain-Slant Length*sin(Angle of Elevation) to evaluate the Earth Station Altitude, Earth Station Altitude refers to the height or elevation of an Earth station above a reference point, usually the Earth's surface. Earth Station Altitude is denoted by h_o symbol.

How to evaluate Earth Station Altitude using this online evaluator? To use this online evaluator for Earth Station Altitude, enter Height of Rain (h_rain), Slant Length (L_slant) & Angle of Elevation (∠θ_el) and hit the calculate button.

FAQs on Earth Station Altitude

What is the formula to find Earth Station Altitude?

The formula of Earth Station Altitude is expressed as Earth Station Altitude = Height of Rain-Slant Length*sin(Angle of Elevation). Here is an example- 0.217319 = 209440-14117*sin(0.733038285837481).

How to calculate Earth Station Altitude?

With Height of Rain (h_rain), Slant Length (L_slant) & Angle of Elevation (∠θ_el) we can find Earth Station Altitude using the formula - Earth Station Altitude = Height of Rain-Slant Length*sin(Angle of Elevation). This formula also uses Sine (sin) function(s).

Can the Earth Station Altitude be negative?

No, the Earth Station Altitude, measured in Length cannot be negative.

Which unit is used to measure Earth Station Altitude?

Earth Station Altitude is usually measured using the Kilometer[km] for Length. Meter[km], Millimeter[km], Decimeter[km] are the few other units in which Earth Station Altitude can be measured.

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Earth Station Altitude Formula

Earth Station Altitude Example

Earth Station Altitude Solution

Earth Station Altitude Formula Elements

Other formulas in Radio Wave Propagation category

How to Evaluate Earth Station Altitude?

FAQs on Earth Station Altitude

Variable Name