Rain Height Calculator

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Radio Wave Propagation

Geostationary Orbit

Satellite Orbital Characteristics

✖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.ⓘ Slant Length [L_slant]			+10% -10%
✖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.ⓘ Angle of Elevation [∠θ_el]			+10% -10%
✖Earth Station Altitude refers to the elevation or height above sea level at which an Earth station is located.ⓘ Earth Station Altitude [h_o]			+10% -10%

✖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.ⓘ Rain Height [h_rain]

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Formula

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Rain Height

Formula

`"h"_{"rain"} = "L"_{"slant"}*sin("∠θ"_{"el"})+"h"_{"o"}`

Example

`"209.4461km"="14.117km"*sin("42°")+"200km"`

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Rain Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Rain = Slant Length*sin(Angle of Elevation)+Earth Station Altitude
h_rain = L_slant*sin(∠θ_el)+h_o
This formula uses 1 Functions, 4 Variables

Functions Used

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., sin(Angle)

Variables Used

Height of Rain - (Measured in Meter) - 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.
Slant Length - (Measured in Meter) - 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.
Angle of Elevation - (Measured in Radian) - 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.
Earth Station Altitude - (Measured in Meter) - Earth Station Altitude refers to the elevation or height above sea level at which an Earth station is located.

STEP 1: Convert Input(s) to Base Unit

Slant Length: 14.117 Kilometer --> 14117 Meter (Check conversion here)
Angle of Elevation: 42 Degree --> 0.733038285837481 Radian (Check conversion here)
Earth Station Altitude: 200 Kilometer --> 200000 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_rain = L_slant*sin(∠θ_el)+h_o --> 14117*sin(0.733038285837481)+200000

Evaluating ... ...

h_rain = 209446.116769967

STEP 3: Convert Result to Output's Unit

209446.116769967 Meter -->209.446116769967 Kilometer (Check conversion here)

FINAL ANSWER

209.446116769967 ≈ 209.4461 Kilometer <-- Height of Rain

(Calculation completed in 00.004 seconds)

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Credits

Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

Shobhit Dimri has created this Calculator and 900+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 14 Radio Wave Propagation Calculators

Rain Attenuation in Decibels

Go Rain Attenuation = Specific Attenuation*Rain Rate^Specific Attenuation Coefficient*Slant Length*Reduction Factor

Specific Attenuation in Clouds or Fogs

Go Specific Attenuation due to Clouds = (Total Content of Liquid Water*Specific Attenuation Coefficient)/sin(Angle of Elevation)

Regression of Nodes

Go Regression Node = (Mean Motion*SCOM Constant)/(Semi Major Axis^2*(1-Eccentricity^2)^2)

Earth Station Altitude

Go Earth Station Altitude = Height of Rain-Slant Length*sin(Angle of Elevation)

Rain Height

Go Height of Rain = Slant Length*sin(Angle of Elevation)+Earth Station Altitude

Distribution of Rain Attenuation

Go Distribution of Rain Attenuation = 1+((2*Horizontal Projection Length)/(pi*Diameter of Rain Cell))

Horizontal Projection of Slant Length

Go Horizontal Projection Length = Slant Length*cos(Angle of Elevation)

Effective Path Length

Go Effective Path Length = Total Attenuation/Specific Attenuation

Specific Attenuation

Go Specific Attenuation = Total Attenuation/Effective Path Length

Total Attenuation

Go Total Attenuation = Effective Path Length*Specific Attenuation

Effective Path Length using Reduction Factor

Go Effective Path Length = Slant Length*Reduction Factor

Reduction Factor using Slant Length

Go Reduction Factor = Effective Path Length/Slant Length

Slant Length

Go Slant Length = Effective Path Length/Reduction Factor

Plasma Frequency Terms of Electronic Density

Go Plasma Frequency = 9*sqrt(Electron Density)

Rain Height Formula

Height of Rain = Slant Length*sin(Angle of Elevation)+Earth Station Altitude
h_rain = L_slant*sin(∠θ_el)+h_o

What is Rain Attenuation?

The depletion of electromagnetic energy during propagation through rain, caused by raindrop scattering and absorption.

How to Calculate Rain Height?

Rain Height calculator uses Height of Rain = Slant Length*sin(Angle of Elevation)+Earth Station Altitude to calculate 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 calculate Rain Height using this online calculator? To use this online calculator for Rain Height, enter Slant Length (L_slant), Angle of Elevation (∠θ_el) & Earth Station Altitude (h_o) and hit the calculate button. Here is how the Rain Height calculation can be explained with given input values -> 0.209446 = 14117*sin(0.733038285837481)+200000.

FAQ

What is Rain Height?

The Rain Height formula is defined as an important input parameter, which is needed for the estimation performance of satellite communication and is represented as h_rain = L_slant*sin(∠θ_el)+h_o or Height of Rain = Slant Length*sin(Angle of Elevation)+Earth Station Altitude. 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, 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 & Earth Station Altitude refers to the elevation or height above sea level at which an Earth station is located.

How to calculate Rain Height?

The Rain Height formula is defined as an important input parameter, which is needed for the estimation performance of satellite communication is calculated using Height of Rain = Slant Length*sin(Angle of Elevation)+Earth Station Altitude. To calculate Rain Height, you need Slant Length (L_slant), Angle of Elevation (∠θ_el) & Earth Station Altitude (h_o). With our tool, you need to enter the respective value for Slant Length, Angle of Elevation & Earth Station Altitude 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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