Angle of Elevation Calculator

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Geostationary Orbit

Radio Wave Propagation

Satellite Orbital Characteristics

✖Right angle refer to the orientation of the satellite antenna's main beam with respect to the Earth's surface.ⓘ Right Angle [∠θ_R]			+10% -10%
✖Tilt Angle refers to the angular displacement or inclination of a satellite antenna or dish from the vertical axis.ⓘ Tilt Angle [∠θ_tilt]			+10% -10%
✖Earth Station Latitude refers to the geographical latitude coordinate of a specific ground-based station on Earth that is equipped to communicate with satellites.ⓘ Earth Station Latitude [λ_e]			+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]

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Formula

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Angle of Elevation

Formula

`"∠θ"_{"el"} = "∠θ"_{"R"}-"∠θ"_{"tilt"}-"λ"_{"e"}`

Example

`"42°"="90°"-"31°"-"17°"`

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Angle of Elevation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle of Elevation = Right Angle-Tilt Angle-Earth Station Latitude
∠θ_el = ∠θ_R-∠θ_tilt-λ_e
This formula uses 4 Variables

Variables Used

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.
Right Angle - (Measured in Radian) - Right angle refer to the orientation of the satellite antenna's main beam with respect to the Earth's surface.
Tilt Angle - (Measured in Radian) - Tilt Angle refers to the angular displacement or inclination of a satellite antenna or dish from the vertical axis.
Earth Station Latitude - (Measured in Radian) - Earth Station Latitude refers to the geographical latitude coordinate of a specific ground-based station on Earth that is equipped to communicate with satellites.

STEP 1: Convert Input(s) to Base Unit

Right Angle: 90 Degree --> 1.5707963267946 Radian (Check conversion here)
Tilt Angle: 31 Degree --> 0.54105206811814 Radian (Check conversion here)
Earth Station Latitude: 17 Degree --> 0.29670597283898 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∠θ_el = ∠θ_R-∠θ_tilt-λ_e --> 1.5707963267946-0.54105206811814-0.29670597283898

Evaluating ... ...

∠θ_el = 0.73303828583748

STEP 3: Convert Result to Output's Unit

0.73303828583748 Radian -->42 Degree (Check conversion here)

FINAL ANSWER

42 Degree <-- Angle of Elevation

(Calculation completed in 00.004 seconds)

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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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Go Geostationary Radius = Geostationary Height+[Earth-R]

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Go Perigee Radius = Major Orbital Axis*(1-Eccentricity)

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Apogee Heights

Go Apogee Height = Apogee Radius-[Earth-R]

Angle of Elevation Formula

Angle of Elevation = Right Angle-Tilt Angle-Earth Station Latitude
∠θ_el = ∠θ_R-∠θ_tilt-λ_e

What is angle of deviation?

The angle between the direction of the refracted ray and the direction of the incident ray when a ray of light passes from one medium to another.

How to Calculate Angle of Elevation?

Angle of Elevation calculator uses Angle of Elevation = Right Angle-Tilt Angle-Earth Station Latitude to calculate the Angle of Elevation, The Angle of Elevation measures the vertical angle between a horizontal line and a line of sight pointing upwards from an observer to an object or point. Angle of Elevation is denoted by ∠θ_el symbol.

How to calculate Angle of Elevation using this online calculator? To use this online calculator for Angle of Elevation, enter Right Angle (∠θ_R), Tilt Angle (∠θ_tilt) & Earth Station Latitude (λ_e) and hit the calculate button. Here is how the Angle of Elevation calculation can be explained with given input values -> 1271.966 = 1.5707963267946-0.54105206811814-0.29670597283898.

FAQ

What is Angle of Elevation?

The Angle of Elevation measures the vertical angle between a horizontal line and a line of sight pointing upwards from an observer to an object or point and is represented as ∠θ_el = ∠θ_R-∠θ_tilt-λ_e or Angle of Elevation = Right Angle-Tilt Angle-Earth Station Latitude. Right angle refer to the orientation of the satellite antenna's main beam with respect to the Earth's surface, Tilt Angle refers to the angular displacement or inclination of a satellite antenna or dish from the vertical axis & Earth Station Latitude refers to the geographical latitude coordinate of a specific ground-based station on Earth that is equipped to communicate with satellites.

How to calculate Angle of Elevation?

The Angle of Elevation measures the vertical angle between a horizontal line and a line of sight pointing upwards from an observer to an object or point is calculated using Angle of Elevation = Right Angle-Tilt Angle-Earth Station Latitude. To calculate Angle of Elevation, you need Right Angle (∠θ_R), Tilt Angle (∠θ_tilt) & Earth Station Latitude (λ_e). With our tool, you need to enter the respective value for Right Angle, Tilt Angle & Earth Station Latitude 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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