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Rain Height Formula

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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. Check FAQs

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

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

Rain Height Example

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With units

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Here is how the Rain Height equation looks like with Values.

Here is how the Rain Height equation looks like with Units.

Here is how the Rain Height equation looks like.

209.4461 = 14.117 \cdot \sin (42) + 200

209.4461km = 14.117km \cdot \sin (42°) + 200km

209.4461 = 14.117 \cdot \sin (42) + 200

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Rain Height Solution

Follow our step by step solution on how to calculate Rain Height?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h rain = 14.117km \cdot \sin (42°) + 200km

Next Step Convert Units

∴

h rain = 14117m \cdot \sin (0.733rad) + 200000m

Next Step Prepare to Evaluate

∴

h rain = 14117 \cdot \sin (0.733) + 200000

Next Step Evaluate

∴

h rain = 209446.116769967m

Next Step Convert to Output's Unit

∴

h rain = 209.446116769967km

LAST Step Rounding Answer

∴

h rain = 209.4461km

Rain Height Formula Elements

Variables

Functions

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

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

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 Earth Station Altitude

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

Go Effective Path Length using Reduction Factor

L eff = L slant \cdot r p

Go Reduction Factor using Slant Length

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

How to Evaluate Rain Height?

Rain Height evaluator uses Height of Rain = Slant Length*sin(Angle of Elevation)+Earth Station Altitude to evaluate the Height of Rain, The Rain Height formula is defined as an important input parameter, which is needed for the estimation performance of satellite communication. Height of Rain is denoted by h_rain symbol.

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

FAQs on Rain Height

What is the formula to find Rain Height?

The formula of Rain Height is expressed as Height of Rain = Slant Length*sin(Angle of Elevation)+Earth Station Altitude. Here is an example- 0.209446 = 14117*sin(0.733038285837481)+200000.

How to calculate Rain Height?

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

Can the Rain Height be negative?

No, the Rain Height, measured in Length cannot be negative.

Which unit is used to measure Rain Height?

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

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Rain Height Formula

Rain Height Example

Rain Height Solution

Rain Height Formula Elements

Other formulas in Radio Wave Propagation category

How to Evaluate Rain Height?

FAQs on Rain Height

Variable Name