Earth Station Altitude Solution

STEP 0: Pre-Calculation Summary
Formula Used
Earth Station Altitude = Height of Rain-Slant Length*sin(Angle of Elevation)
ho = hrain-Lslant*sin(∠θel)
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
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.
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.
STEP 1: Convert Input(s) to Base Unit
Height of Rain: 209.44 Kilometer --> 209440 Meter (Check conversion here)
Slant Length: 14.117 Kilometer --> 14117 Meter (Check conversion here)
Angle of Elevation: 42 Degree --> 0.733038285837481 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ho = hrain-Lslant*sin(∠θel) --> 209440-14117*sin(0.733038285837481)
Evaluating ... ...
ho = 199993.883230033
STEP 3: Convert Result to Output's Unit
199993.883230033 Meter -->199.993883230033 Kilometer (Check conversion here)
FINAL ANSWER
199.993883230033 199.9939 Kilometer <-- Earth Station Altitude
(Calculation completed in 00.020 seconds)

Credits

Created by Shobhit Dimri
Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
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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
Total Attenuation
Go Total Attenuation = Effective Path Length*Specific Attenuation
Specific Attenuation
Go Specific Attenuation = Total Attenuation/Effective Path Length
Reduction Factor using Slant Length
Go Reduction Factor = Effective Path Length/Slant Length
Slant Length
Go Slant Length = Effective Path Length/Reduction Factor
Effective Path Length using Reduction Factor
Go Effective Path Length = Slant Length*Reduction Factor
Plasma Frequency Terms of Electronic Density
Go Plasma Frequency = 9*sqrt(Electron Density)

Earth Station Altitude Formula

Earth Station Altitude = Height of Rain-Slant Length*sin(Angle of Elevation)
ho = hrain-Lslant*sin(∠θel)

What altitude is needed to orbit the Earth?

The majority of satellites orbiting the Earth do so at altitudes between 160 and 2,000 kilometers. This orbital regime is called low Earth orbit, or LEO, due to the satellites' relative closeness to the Earth. Satellites in LEO typically take between 90 minutes and 2 hours to complete one full orbit around the Earth.

How to Calculate Earth Station Altitude?

Earth Station Altitude calculator uses Earth Station Altitude = Height of Rain-Slant Length*sin(Angle of Elevation) to calculate 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 ho symbol.

How to calculate Earth Station Altitude using this online calculator? To use this online calculator for Earth Station Altitude, enter Height of Rain (hrain), Slant Length (Lslant) & Angle of Elevation (∠θel) and hit the calculate button. Here is how the Earth Station Altitude calculation can be explained with given input values -> 0.217319 = 209440-14117*sin(0.733038285837481) .

FAQ

What is 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 and is represented as ho = hrain-Lslant*sin(∠θel) or Earth Station Altitude = Height of Rain-Slant Length*sin(Angle of Elevation). 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 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.
How to calculate 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 is calculated using Earth Station Altitude = Height of Rain-Slant Length*sin(Angle of Elevation). To calculate Earth Station Altitude, you need Height of Rain (hrain), Slant Length (Lslant) & Angle of Elevation (∠θel). With our tool, you need to enter the respective value for Height of Rain, Slant Length & Angle of Elevation 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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