Angle of Tilt 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%
✖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 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%

✖Tilt Angle refers to the angular displacement or inclination of a satellite antenna or dish from the vertical axis.ⓘ Angle of Tilt [∠θ_tilt]

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Formula

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Angle of Tilt

Formula

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

Example

`"31°"="90°"-"42°"-"17°"`

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Angle of Tilt Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Tilt Angle - (Measured in Radian) - Tilt Angle refers to the angular displacement or inclination of a satellite antenna or dish from the vertical axis.
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.
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 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)
Angle of Elevation: 42 Degree --> 0.733038285837481 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_tilt = ∠θ_R-∠θ_el-λ_e --> 1.5707963267946-0.733038285837481-0.29670597283898

Evaluating ... ...

∠θ_tilt = 0.541052068118139

STEP 3: Convert Result to Output's Unit

0.541052068118139 Radian -->30.9999999999999 Degree (Check conversion here)

FINAL ANSWER

30.9999999999999 ≈ 31 Degree <-- Tilt Angle

(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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< 14 Geostationary Orbit Calculators

Power Density at Satellite Station

Go Power Density at Satellite Station = Effective Isotropic Radiated Power-Path Loss-Total Loss-(10*log10(4*pi))-(20*log10(Range of Satellite))

Earth Station Latitude

Go Earth Station Latitude = Right Angle-Angle of Elevation-Tilt Angle

Angle of Elevation

Go Angle of Elevation = Right Angle-Tilt Angle-Earth Station Latitude

Angle of Tilt

Go Tilt Angle = Right Angle-Angle of Elevation-Earth Station Latitude

Time of Perigee Passage

Go Perigee Passage = Time in Minutes-(Mean Anomaly/Mean Motion)

Satellite Geostationary Radius

Go Geostationary Radius = (([GM.Earth]*Orbital Period in Days)/(4*pi^2))^(1/3)

Geostationary Height

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

Geostationary Radius

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

Length of Radius Vectors at Perigee

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

Length of Radius Vectors at Apogee

Go Apogee Radius = Major Orbital Axis*(1+Eccentricity)

Perigee Heights

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

Azimuth Angle

Go Azimuth Angle = Straight Angle-Acute Angle

Acute Value

Go Acute Angle = Straight Angle-Azimuth Angle

Apogee Heights

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

Angle of Tilt Formula

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

What is the purpose of tilt angle?

The tilt of the panels is important because your panels will produce a maximum of energy when the sun is directly perpendicular to them. During the winter in the northern hemisphere, for example, the sun is low in relation to the horizon

How to Calculate Angle of Tilt?

Angle of Tilt calculator uses Tilt Angle = Right Angle-Angle of Elevation-Earth Station Latitude to calculate the Tilt Angle, The Angle of Tilt formula is defined as the angle between an object's rotational axis and its orbital axis, or, equivalently, the angle between its equatorial plane and orbital plane. Tilt Angle is denoted by ∠θ_tilt symbol.

How to calculate Angle of Tilt using this online calculator? To use this online calculator for Angle of Tilt, enter Right Angle (∠θ_R), Angle of Elevation (∠θ_el) & Earth Station Latitude (λ_e) and hit the calculate button. Here is how the Angle of Tilt calculation can be explained with given input values -> 641.7127 = 1.5707963267946-0.733038285837481-0.29670597283898.

FAQ

What is Angle of Tilt?

The Angle of Tilt formula is defined as the angle between an object's rotational axis and its orbital axis, or, equivalently, the angle between its equatorial plane and orbital plane and is represented as ∠θ_tilt = ∠θ_R-∠θ_el-λ_e or Tilt Angle = Right Angle-Angle of Elevation-Earth Station Latitude. Right angle refer to the orientation of the satellite antenna's main beam with respect to the Earth's surface, 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 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 Tilt?

The Angle of Tilt formula is defined as the angle between an object's rotational axis and its orbital axis, or, equivalently, the angle between its equatorial plane and orbital plane is calculated using Tilt Angle = Right Angle-Angle of Elevation-Earth Station Latitude. To calculate Angle of Tilt, you need Right Angle (∠θ_R), Angle of Elevation (∠θ_el) & Earth Station Latitude (λ_e). With our tool, you need to enter the respective value for Right Angle, Angle of Elevation & 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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