Range of Target Calculator

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Radar & Antenna Specifications

Radar Antennas Reception

Special Purpose Radars

✖Measured runtime refers to the time taken for an electromagnetic wave to travel from the radar transmitter, reach a target, and then return to the radar receiver after reflecting off the target.ⓘ Measured Runtime [T_run]

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✖Target Range is defined as the distance from the radar site to the target measured along the line of sight.ⓘ Range of Target [R_t]

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Formula

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Range of Target

Formula

`"R"_{"t"} = ("[c]"*"T"_{"run"})/2`

Example

`"289.5995m"=("[c]"*"1.932μs")/2`

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Range of Target Solution

STEP 0: Pre-Calculation Summary

Formula Used

Target Range = ([c]*Measured Runtime)/2
R_t = ([c]*T_run)/2
This formula uses 1 Constants, 2 Variables

Constants Used

[c] - Light speed in vacuum Value Taken As 299792458.0

Variables Used

Target Range - (Measured in Meter) - Target Range is defined as the distance from the radar site to the target measured along the line of sight.
Measured Runtime - (Measured in Second) - Measured runtime refers to the time taken for an electromagnetic wave to travel from the radar transmitter, reach a target, and then return to the radar receiver after reflecting off the target.

STEP 1: Convert Input(s) to Base Unit

Measured Runtime: 1.932 Microsecond --> 1.932E-06 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_t = ([c]*T_run)/2 --> ([c]*1.932E-06)/2

Evaluating ... ...

R_t = 289.599514428

STEP 3: Convert Result to Output's Unit

289.599514428 Meter --> No Conversion Required

FINAL ANSWER

289.599514428 ≈ 289.5995 Meter <-- Target Range

(Calculation completed in 00.004 seconds)

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Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< 24 Radar & Antenna Specifications Calculators

Maximum Range of Radar

Go Target Range = ((Transmitted Power*Transmitted Gain*Cross Section Area of Radar*Effective Area of Receiving Antenna)/(16*pi^2*Minimum Detectable Signal))^0.25

Minimum Detectable Signal

Go Minimum Detectable Signal = (Transmitted Power*Transmitted Gain*Cross Section Area of Radar*Effective Area of Receiving Antenna)/(16*pi^2*Target Range^4)

N Scans

Go N Scans = (log10(1-Cumulative Probability of Detection))/(log10(1-Detection Probability of Radar))

Transmitted Gain

Go Transmitted Gain = (4*pi*Effective Area of Receiving Antenna)/Wavelength^2

Transmitted Frequency

Go Transmitted Frequency = Doppler Frequency*[c]/(2*Radial Velocity)

Power Density Radiated by Lossless Antenna

Go Lossless Isotropic Power Density = Maximum Radiated Power Density/Maximum Gain of Antenna

Maximum Power Density Radiated by Antenna

Go Maximum Radiated Power Density = Lossless Isotropic Power Density*Maximum Gain of Antenna

Maximum Gain of Antenna

Go Maximum Gain of Antenna = Maximum Radiated Power Density/Lossless Isotropic Power Density

Radar Antenna Height

Go Antenna Height = (Range Resolution*Range)/(2*Target Height)

Target Height

Go Target Height = (Range Resolution*Range)/(2*Antenna Height)

Probability of Detection

Go Detection Probability of Radar = 1-(1-Cumulative Probability of Detection)^(1/N Scans)

Cumulative Probability of Detection

Go Cumulative Probability of Detection = 1-(1-Detection Probability of Radar)^N Scans

Effective Area of Receiving Antenna

Go Effective Area of Receiving Antenna = Antenna Area*Antenna Aperture Efficiency

Antenna Aperture Efficiency

Go Antenna Aperture Efficiency = Effective Area of Receiving Antenna/Antenna Area

Antenna Area

Go Antenna Area = Effective Area of Receiving Antenna/Antenna Aperture Efficiency

Pulse Repetition Frequency

Go Pulse Repetition Frequency = [c]/(2*Maximum Unambiguous Range)

Maximum Unambiguous Range

Go Maximum Unambiguous Range = ([c]*Pulse Repetition Time)/2

Pulse Repetition Time

Go Pulse Repetition Time = (2*Maximum Unambiguous Range)/[c]

Target Velocity

Go Target Velocity = (Doppler Frequency Shift*Wavelength)/2

Doppler Frequency

Go Doppler Frequency = Doppler Angular Frequency/(2*pi)

Doppler Angular Frequency

Go Doppler Angular Frequency = 2*pi*Doppler Frequency

Radial Velocity

Go Radial Velocity = (Doppler Frequency*Wavelength)/2

Range of Target

Go Target Range = ([c]*Measured Runtime)/2

Measured Runtime

Go Measured Runtime = 2*Target Range/[c]

Range of Target Formula

Target Range = ([c]*Measured Runtime)/2
R_t = ([c]*T_run)/2

What is a reference range negative?

he Doppler shift is negative when the object is moving away (opening range) from the radar, and is positive when the object is moving towards the radar (closing range).

How to Calculate Range of Target?

Range of Target calculator uses Target Range = ([c]*Measured Runtime)/2 to calculate the Target Range, The Range of Target formula is defined as the distance from the radar site to the target measured along the line of sight. Target Range is denoted by R_t symbol.

How to calculate Range of Target using this online calculator? To use this online calculator for Range of Target, enter Measured Runtime (T_run) and hit the calculate button. Here is how the Range of Target calculation can be explained with given input values -> 614.5745 = ([c]*1.932E-06)/2.

FAQ

What is Range of Target?

The Range of Target formula is defined as the distance from the radar site to the target measured along the line of sight and is represented as R_t = ([c]*T_run)/2 or Target Range = ([c]*Measured Runtime)/2. Measured runtime refers to the time taken for an electromagnetic wave to travel from the radar transmitter, reach a target, and then return to the radar receiver after reflecting off the target.

How to calculate Range of Target?

The Range of Target formula is defined as the distance from the radar site to the target measured along the line of sight is calculated using Target Range = ([c]*Measured Runtime)/2. To calculate Range of Target, you need Measured Runtime (T_run). With our tool, you need to enter the respective value for Measured Runtime and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Target Range?

In this formula, Target Range uses Measured Runtime. We can use 1 other way(s) to calculate the same, which is/are as follows -

Target Range = ((Transmitted Power*Transmitted Gain*Cross Section Area of Radar*Effective Area of Receiving Antenna)/(16*pi^2*Minimum Detectable Signal))^0.25

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