Horizontal Projection of Slant Length Calculator

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Radio Wave Propagation

Geostationary Orbit

Satellite Orbital Characteristics

✖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%

✖The Horizontal projection length is the projection of the length of the slant length.ⓘ Horizontal Projection of Slant Length [L_G]

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Horizontal Projection of Slant Length

Formula

`"L"_{"G"} = "L"_{"slant"}*cos("∠θ"_{"el"})`

Example

`"10.49098km"="14.117km"*cos("42°")`

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Horizontal Projection of Slant Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Horizontal Projection Length = Slant Length*cos(Angle of Elevation)
L_G = L_slant*cos(∠θ_el)
This formula uses 1 Functions, 3 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Horizontal Projection Length - (Measured in Meter) - The Horizontal projection length is the projection of the length of the slant length.
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

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

L_G = L_slant*cos(∠θ_el) --> 14117*cos(0.733038285837481)

Evaluating ... ...

L_G = 10490.9755012657

STEP 3: Convert Result to Output's Unit

10490.9755012657 Meter -->10.4909755012657 Kilometer (Check conversion here)

FINAL ANSWER

10.4909755012657 ≈ 10.49098 Kilometer <-- Horizontal Projection Length

(Calculation completed in 00.004 seconds)

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Created by Passya Saikeshav Reddy

CVR COLLEGE OF ENGINEERING (CVR), India

Passya Saikeshav Reddy has created this Calculator and 10+ more calculators!

Verified by Ritwik Tripathi

Vellore Institute of Technology (VIT Vellore), Vellore

Ritwik Tripathi has verified this Calculator and 100+ more calculators!

< 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

Specific Attenuation

Go Specific Attenuation = Total Attenuation/Effective Path Length

Total Attenuation

Go Total Attenuation = Effective Path Length*Specific Attenuation

Effective Path Length using Reduction Factor

Go Effective Path Length = Slant Length*Reduction Factor

Reduction Factor using Slant Length

Go Reduction Factor = Effective Path Length/Slant Length

Slant Length

Go Slant Length = Effective Path Length/Reduction Factor

Plasma Frequency Terms of Electronic Density

Go Plasma Frequency = 9*sqrt(Electron Density)

Horizontal Projection of Slant Length Formula

Horizontal Projection Length = Slant Length*cos(Angle of Elevation)
L_G = L_slant*cos(∠θ_el)

Why reduction factor is used?

The strength reduction factor is used to decrease the estimated strength of structural members, i.e., to compute the design strength of concrete elements. It is used to account for uncertainties in materials, possible design, and construction errors.

How to Calculate Horizontal Projection of Slant Length?

Horizontal Projection of Slant Length calculator uses Horizontal Projection Length = Slant Length*cos(Angle of Elevation) to calculate the Horizontal Projection Length, The Horizontal Projection of Slant Length formula is defined as the projected length of the slant height on the base. Horizontal Projection Length is denoted by L_G symbol.

How to calculate Horizontal Projection of Slant Length using this online calculator? To use this online calculator for Horizontal Projection of Slant Length, enter Slant Length (L_slant) & Angle of Elevation (∠θ_el) and hit the calculate button. Here is how the Horizontal Projection of Slant Length calculation can be explained with given input values -> 0.010491 = 14117*cos(0.733038285837481).

FAQ

What is Horizontal Projection of Slant Length?

The Horizontal Projection of Slant Length formula is defined as the projected length of the slant height on the base and is represented as L_G = L_slant*cos(∠θ_el) or Horizontal Projection Length = Slant Length*cos(Angle of Elevation). 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 Horizontal Projection of Slant Length?

The Horizontal Projection of Slant Length formula is defined as the projected length of the slant height on the base is calculated using Horizontal Projection Length = Slant Length*cos(Angle of Elevation). To calculate Horizontal Projection of Slant Length, you need Slant Length (L_slant) & Angle of Elevation (∠θ_el). With our tool, you need to enter the respective value for 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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