Rain Attenuation in Decibels Solution

STEP 0: Pre-Calculation Summary
Formula Used
Rain Attenuation = Specific Attenuation*Rain Rate^Specific Attenuation Coefficient*Slant Length*Reduction Factor
Ap = α*Rp^b*Lslant*rp
This formula uses 6 Variables
Variables Used
Rain Attenuation - (Measured in Decibel) - Rain attenuation is a function of rain rate. By rain rate is meant the rate at which rainwater would accumulate in a rain gauge.
Specific Attenuation - (Measured in Decibel) - Specific attenuation refers to the loss of signal power due to various atmospheric phenomena that affect the transmission of electromagnetic waves between a satellite and an Earth station.
Rain Rate - (Measured in Meter) - A rain rate of 0.001 percent means that the rain rate would be exceeded for 0.001 percent of a year.
Specific Attenuation Coefficient - (Measured in Decibel per Meter per Kilogram per Cubic Meter) - Specific Attenuation Coefficient refers to the loss of signal power due to various atmospheric phenomena that affect the transmission of electromagnetic waves between a satellite and an 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.
Reduction Factor - The reduction factor represents the factor by which the effective path length is reduced compared to the straight-line distance between the observer and the satellite.
STEP 1: Convert Input(s) to Base Unit
Specific Attenuation: 0.03 Decibel --> 0.03 Decibel No Conversion Required
Rain Rate: 10 Millimeter --> 0.01 Meter (Check conversion ​here)
Specific Attenuation Coefficient: 1.332 Decibel per Kilometer per Gram per Cubic Meter --> 1.332 Decibel per Meter per Kilogram per Cubic Meter (Check conversion ​here)
Slant Length: 14.117 Kilometer --> 14117 Meter (Check conversion ​here)
Reduction Factor: 0.85 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ap = α*Rp^b*Lslant*rp --> 0.03*0.01^1.332*14117*0.85
Evaluating ... ...
Ap = 0.78033771061736
STEP 3: Convert Result to Output's Unit
0.78033771061736 Decibel --> No Conversion Required
FINAL ANSWER
0.78033771061736 0.780338 Decibel <-- Rain Attenuation
(Calculation completed in 00.008 seconds)

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Radio Wave Propagation Calculators

Earth Station Altitude
​ LaTeX ​ Go Earth Station Altitude = Height of Rain-Slant Length*sin(Angle of Elevation)
Rain Height
​ LaTeX ​ Go Height of Rain = Slant Length*sin(Angle of Elevation)+Earth Station Altitude
Effective Path Length
​ LaTeX ​ Go Effective Path Length = Total Attenuation/Specific Attenuation
Effective Path Length using Reduction Factor
​ LaTeX ​ Go Effective Path Length = Slant Length*Reduction Factor

Rain Attenuation in Decibels Formula

​LaTeX ​Go
Rain Attenuation = Specific Attenuation*Rain Rate^Specific Attenuation Coefficient*Slant Length*Reduction Factor
Ap = α*Rp^b*Lslant*rp

What is attenuation in satellite communication?

In satellite communication, attenuation refers to the reduction in the strength of a signal as it travels through various mediums, such as the Earth's atmosphere or space.In calculations
relating to radio wave attenuation, the rain rate is measured in millimeters per hour.

How to Calculate Rain Attenuation in Decibels?

Rain Attenuation in Decibels calculator uses Rain Attenuation = Specific Attenuation*Rain Rate^Specific Attenuation Coefficient*Slant Length*Reduction Factor to calculate the Rain Attenuation, The Rain Attenuation in Decibels formula is defined as a function of rain rate. By rain rate is meant the rate at which rainwater would accumulate in a rain gauge situated at the ground in the region of interest. Rain Attenuation is denoted by Ap symbol.

How to calculate Rain Attenuation in Decibels using this online calculator? To use this online calculator for Rain Attenuation in Decibels, enter Specific Attenuation (α), Rain Rate (Rp), Specific Attenuation Coefficient (b), Slant Length (Lslant) & Reduction Factor (rp) and hit the calculate button. Here is how the Rain Attenuation in Decibels calculation can be explained with given input values -> 0.780338 = 0.03*0.01^1.332*14117*0.85.

FAQ

What is Rain Attenuation in Decibels?
The Rain Attenuation in Decibels formula is defined as a function of rain rate. By rain rate is meant the rate at which rainwater would accumulate in a rain gauge situated at the ground in the region of interest and is represented as Ap = α*Rp^b*Lslant*rp or Rain Attenuation = Specific Attenuation*Rain Rate^Specific Attenuation Coefficient*Slant Length*Reduction Factor. Specific attenuation refers to the loss of signal power due to various atmospheric phenomena that affect the transmission of electromagnetic waves between a satellite and an Earth station, A rain rate of 0.001 percent means that the rain rate would be exceeded for 0.001 percent of a year, Specific Attenuation Coefficient refers to the loss of signal power due to various atmospheric phenomena that affect the transmission of electromagnetic waves between a satellite and an Earth station, 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 reduction factor represents the factor by which the effective path length is reduced compared to the straight-line distance between the observer and the satellite.
How to calculate Rain Attenuation in Decibels?
The Rain Attenuation in Decibels formula is defined as a function of rain rate. By rain rate is meant the rate at which rainwater would accumulate in a rain gauge situated at the ground in the region of interest is calculated using Rain Attenuation = Specific Attenuation*Rain Rate^Specific Attenuation Coefficient*Slant Length*Reduction Factor. To calculate Rain Attenuation in Decibels, you need Specific Attenuation (α), Rain Rate (Rp), Specific Attenuation Coefficient (b), Slant Length (Lslant) & Reduction Factor (rp). With our tool, you need to enter the respective value for Specific Attenuation, Rain Rate, Specific Attenuation Coefficient, Slant Length & Reduction Factor 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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