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Earth Station Altitude Calculator

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Radio Wave Propagation Geostationary Orbit Satellite Orbital Characteristics

✖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.ⓘ Height of Rain [h_rain]			+10% -10%
✖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]

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Earth Station Altitude Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

h_o = h_rain-L_slant*sin(∠θ_el) --> 209440-14117*sin(0.733038285837481)

Evaluating ... ...

h_o = 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 00.004 seconds)

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Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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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

Earth Station Altitude Formula

LaTeX Go

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

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 h_o symbol.

How to calculate Earth Station Altitude using this online calculator? To use this online calculator for Earth Station Altitude, enter Height of Rain (h_rain), Slant Length (L_slant) & Angle of Elevation (∠θ_el) 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 h_o = h_rain-L_slant*sin(∠θ_el) 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 (h_rain), Slant Length (L_slant) & Angle of Elevation (∠θ_el). 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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