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Angle of Tilt Formula

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Tilt Angle refers to the angular displacement or inclination of a satellite antenna or dish from the vertical axis. Check FAQs

∠θ tilt = ∠θ R - ∠θ el - λ e

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

Angle of Tilt Example

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With units

Only example

Here is how the Angle of Tilt equation looks like with Values.

Here is how the Angle of Tilt equation looks like with Units.

Here is how the Angle of Tilt equation looks like.

31 = 90 - 42 - 17

31° = 90° - 42° - 17°

31 = 90 - 42 - 17

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Angle of Tilt Solution

Follow our step by step solution on how to calculate Angle of Tilt?

FIRST Step Consider the formula

∠θ tilt = ∠θ R - ∠θ el - λ e

Next Step Substitute values of Variables

∴

∠θ tilt = 90° - 42° - 17°

Next Step Convert Units

∴

∠θ tilt = 1.5708rad - 0.733rad - 0.2967rad

Next Step Prepare to Evaluate

∴

∠θ tilt = 1.5708 - 0.733 - 0.2967

Next Step Evaluate

∴

∠θ tilt = 0.541052068118139rad

Next Step Convert to Output's Unit

∴

∠θ tilt = 30.9999999999999°

LAST Step Rounding Answer

∴

∠θ tilt = 31°

Angle of Tilt Formula Elements

Variables

Tilt Angle

Tilt Angle refers to the angular displacement or inclination of a satellite antenna or dish from the vertical axis.

Symbol: ∠θ_tilt

Measurement: AngleUnit: °

Note: Value should be less than 90.

Formulas to find Tilt Angle

Right Angle

Right angle refer to the orientation of the satellite antenna's main beam with respect to the Earth's surface.

Symbol: ∠θ_R

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Right Angle

Angle of Elevation

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.

Symbol: ∠θ_el

Measurement: AngleUnit: °

Note: Value should be less than 90.

Formulas to find Angle of Elevation

Earth Station Latitude

Earth Station Latitude refers to the geographical latitude coordinate of a specific ground-based station on Earth that is equipped to communicate with satellites.

Symbol: λ_e

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Earth Station Latitude

Other formulas in Geostationary Orbit category

Go Angle of Elevation

∠θ el = ∠θ R - ∠θ tilt - λ e

Go Satellite Geostationary Radius

R gso = {(\frac{[GM.Earth] \cdot P day}{4 \cdot π^{2}})}^{\frac{1}{3}}

Go Geostationary Height

H gso = R gso - [Earth-R]

Go Geostationary Radius

R gso = H gso + [Earth-R]

How to Evaluate Angle of Tilt?

Angle of Tilt evaluator uses Tilt Angle = Right Angle-Angle of Elevation-Earth Station Latitude to evaluate 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 evaluate Angle of Tilt using this online evaluator? To use this online evaluator for Angle of Tilt, enter Right Angle (∠θ_R), Angle of Elevation (∠θ_el) & Earth Station Latitude (λ_e) and hit the calculate button.

FAQs on Angle of Tilt

What is the formula to find Angle of Tilt?

The formula of Angle of Tilt is expressed as Tilt Angle = Right Angle-Angle of Elevation-Earth Station Latitude. Here is an example- 641.7127 = 1.5707963267946-0.733038285837481-0.29670597283898.

How to calculate Angle of Tilt?

With Right Angle (∠θ_R), Angle of Elevation (∠θ_el) & Earth Station Latitude (λ_e) we can find Angle of Tilt using the formula - Tilt Angle = Right Angle-Angle of Elevation-Earth Station Latitude.

Can the Angle of Tilt be negative?

No, the Angle of Tilt, measured in Angle cannot be negative.

Which unit is used to measure Angle of Tilt?

Angle of Tilt is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Angle of Tilt can be measured.

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Angle of Tilt Formula

Angle of Tilt Example

Angle of Tilt Solution

Angle of Tilt Formula Elements

Other formulas in Geostationary Orbit category

How to Evaluate Angle of Tilt?

FAQs on Angle of Tilt

Variable Name