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Power Density at Satellite Station Formula

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Power Density at Satellite Station is defined as how the transmit power in a communications signal is distributed over frequency. Check FAQs

P d = EIRP - L path - L total - (10 \cdot \log 10 (4 \cdot π)) - (20 \cdot \log 10 (R sat))

P_d - Power Density at Satellite Station?EIRP - Effective Isotropic Radiated Power?L_path - Path Loss?L_total - Total Loss?R_sat - Range of Satellite?π - Archimedes' constant?

Power Density at Satellite Station Example

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Here is how the Power Density at Satellite Station equation looks like with Values.

Here is how the Power Density at Satellite Station equation looks like with Units.

Here is how the Power Density at Satellite Station equation looks like.

922.9255 = 1100 - 12 - 50 - (10 \cdot \log 10 (4 \cdot 3.1416)) - (20 \cdot \log 10 (160))

922.9255W = 1100W - 12dB - 50dB - (10 \cdot \log 10 (4 \cdot 3.1416)) - (20 \cdot \log 10 (160km))

922.9255 = 1100 - 12 - 50 - (10 \cdot \log 10 (4 \cdot 3.1416)) - (20 \cdot \log 10 (160))

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Power Density at Satellite Station Solution

Follow our step by step solution on how to calculate Power Density at Satellite Station?

FIRST Step Consider the formula

P d = EIRP - L path - L total - (10 \cdot \log 10 (4 \cdot π)) - (20 \cdot \log 10 (R sat))

Next Step Substitute values of Variables

∴

P d = 1100W - 12dB - 50dB - (10 \cdot \log 10 (4 \cdot π)) - (20 \cdot \log 10 (160km))

Next Step Substitute values of Constants

∴

P d = 1100W - 12dB - 50dB - (10 \cdot \log 10 (4 \cdot 3.1416)) - (20 \cdot \log 10 (160km))

Next Step Convert Units

∴

P d = 1100W - 12dB - 50dB - (10 \cdot \log 10 (4 \cdot 3.1416)) - (20 \cdot \log 10 (160000m))

Next Step Prepare to Evaluate

∴

P d = 1100 - 12 - 50 - (10 \cdot \log 10 (4 \cdot 3.1416)) - (20 \cdot \log 10 (160000))

Next Step Evaluate

∴

P d = 922.92550170666W

LAST Step Rounding Answer

∴

P d = 922.9255W

Power Density at Satellite Station Formula Elements

Variables

Constants

Functions

Power Density at Satellite Station

Power Density at Satellite Station is defined as how the transmit power in a communications signal is distributed over frequency.

Symbol: P_d

Measurement: PowerUnit: W

Note: Value should be between 1 to 1000000.

Formulas to find Power Density at Satellite Station

Effective Isotropic Radiated Power

Effective Isotropic Radiated Power of Earth Station refers to a ground-based satellite communication facility that communicates with satellites in space.

Symbol: EIRP

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Effective Isotropic Radiated Power

Path Loss

Path Loss refers to the attenuation in signal strength as it propagates through the atmosphere and free space between the satellite and the receiving antenna on the ground.

Symbol: L_path

Measurement: SoundUnit: dB

Note: Value should be greater than 0.

Formulas to find Path Loss

Total Loss

Total Loss refers to the total losses arising due various factors that contribute to signal degradation or attenuation during transmission, apart from path loss.

Symbol: L_total

Measurement: SoundUnit: dB

Note: Value should be greater than 0.

Formulas to find Total Loss

Range of Satellite

Range of Satellite refers to the distance between the satellite and the ground station or the satellite and the user terminal (such as a satellite dish).

Symbol: R_sat

Measurement: LengthUnit: km

Note: Value should be greater than 0.

Formulas to find Range of Satellite

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

log10

The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function.

Syntax: log10(Number)

Other formulas in Geostationary Orbit category

Go Angle of Elevation

∠θ el = ∠θ R - ∠θ tilt - λ e

Go Angle of Tilt

∠θ tilt = ∠θ R - ∠θ el - 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]

How to Evaluate Power Density at Satellite Station?

Power Density at Satellite Station evaluator uses Power Density at Satellite Station = Effective Isotropic Radiated Power-Path Loss-Total Loss-(10*log10(4*pi))-(20*log10(Range of Satellite)) to evaluate the Power Density at Satellite Station, Power Density at Satellite Station refers to the amount of power per unit area received or transmitted by satellite equipment, crucial for efficient signal transmission and reception in satellite communications. Power Density at Satellite Station is denoted by P_d symbol.

How to evaluate Power Density at Satellite Station using this online evaluator? To use this online evaluator for Power Density at Satellite Station, enter Effective Isotropic Radiated Power (EIRP), Path Loss (L_path), Total Loss (L_total) & Range of Satellite (R_sat) and hit the calculate button.

FAQs on Power Density at Satellite Station

What is the formula to find Power Density at Satellite Station?

The formula of Power Density at Satellite Station is expressed as Power Density at Satellite Station = Effective Isotropic Radiated Power-Path Loss-Total Loss-(10*log10(4*pi))-(20*log10(Range of Satellite)). Here is an example- 922.9255 = 1100-12-50-(10*log10(4*pi))-(20*log10(160000)).

How to calculate Power Density at Satellite Station?

With Effective Isotropic Radiated Power (EIRP), Path Loss (L_path), Total Loss (L_total) & Range of Satellite (R_sat) we can find Power Density at Satellite Station using the formula - Power Density at Satellite Station = Effective Isotropic Radiated Power-Path Loss-Total Loss-(10*log10(4*pi))-(20*log10(Range of Satellite)). This formula also uses Archimedes' constant and Common Logarithm (log10) function(s).

Can the Power Density at Satellite Station be negative?

No, the Power Density at Satellite Station, measured in Power cannot be negative.

Which unit is used to measure Power Density at Satellite Station?

Power Density at Satellite Station is usually measured using the Watt[W] for Power. Kilowatt[W], Milliwatt[W], Microwatt[W] are the few other units in which Power Density at Satellite Station can be measured.

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Power Density at Satellite Station Formula

Power Density at Satellite Station Example

Power Density at Satellite Station Solution

Power Density at Satellite Station Formula Elements

Other formulas in Geostationary Orbit category

How to Evaluate Power Density at Satellite Station?

FAQs on Power Density at Satellite Station

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