Radial Velocity Calculator

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Radar & Antenna Specifications

Radar Antennas Reception

Special Purpose Radars

✖Doppler frequency refers to the frequency shift that occurs in a wave, such as sound waves, light waves, due to the relative motion between the source of the wave and the observer.ⓘ Doppler Frequency [f_d]			+10% -10%
✖Wavelength refers to the physical length of one complete cycle of an electromagnetic wave transmitted by the radar system.ⓘ Wavelength [λ]			+10% -10%

✖The Radial Velocity of an object with respect to a given point is the rate of change of the distance between the object and the point.ⓘ Radial Velocity [v_r]

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Formula

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Radial Velocity

Formula

`"v"_{"r"} = ("f"_{"d"}*"λ")/2`

Example

`"2.987m/s"=("10.3Hz"*"0.58m")/2`

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Download Radar & Antenna Specifications Formulas PDF

Radial Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radial Velocity = (Doppler Frequency*Wavelength)/2
v_r = (f_d*λ)/2
This formula uses 3 Variables

Variables Used

Radial Velocity - (Measured in Meter per Second) - The Radial Velocity of an object with respect to a given point is the rate of change of the distance between the object and the point.
Doppler Frequency - (Measured in Hertz) - Doppler frequency refers to the frequency shift that occurs in a wave, such as sound waves, light waves, due to the relative motion between the source of the wave and the observer.
Wavelength - (Measured in Meter) - Wavelength refers to the physical length of one complete cycle of an electromagnetic wave transmitted by the radar system.

STEP 1: Convert Input(s) to Base Unit

Doppler Frequency: 10.3 Hertz --> 10.3 Hertz No Conversion Required
Wavelength: 0.58 Meter --> 0.58 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_r = (f_d*λ)/2 --> (10.3*0.58)/2

Evaluating ... ...

v_r = 2.987

STEP 3: Convert Result to Output's Unit

2.987 Meter per Second --> No Conversion Required

FINAL ANSWER

2.987 Meter per Second <-- Radial Velocity

(Calculation completed in 00.004 seconds)

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Created by Shobhit Dimri

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

Target Height

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

Radar Antenna Height

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

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

Effective Area of Receiving Antenna

Go Effective Area of Receiving Antenna = Antenna Area*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

Measured Runtime

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

Range of Target

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

Radial Velocity Formula

Radial Velocity = (Doppler Frequency*Wavelength)/2
v_r = (f_d*λ)/2

What is radial velocity in Doppler effect?

The Doppler shift therefore tells you about motion in a particular direction along the radius of the imaginary sphere. For this reason, the velocity you can work out from the wavelength shift is called the radial velocity. During a planet's orbit, its star's speed is constant.

How to Calculate Radial Velocity?

Radial Velocity calculator uses Radial Velocity = (Doppler Frequency*Wavelength)/2 to calculate the Radial Velocity, The Radial Velocity formula is defined with respect to a given point is the rate of change of the distance between the object and the point. Radial Velocity is denoted by v_r symbol.

How to calculate Radial Velocity using this online calculator? To use this online calculator for Radial Velocity, enter Doppler Frequency (f_d) & Wavelength (λ) and hit the calculate button. Here is how the Radial Velocity calculation can be explained with given input values -> 2.987 = (10.3*0.58)/2.

FAQ

What is Radial Velocity?

The Radial Velocity formula is defined with respect to a given point is the rate of change of the distance between the object and the point and is represented as v_r = (f_d*λ)/2 or Radial Velocity = (Doppler Frequency*Wavelength)/2. Doppler frequency refers to the frequency shift that occurs in a wave, such as sound waves, light waves, due to the relative motion between the source of the wave and the observer & Wavelength refers to the physical length of one complete cycle of an electromagnetic wave transmitted by the radar system.

How to calculate Radial Velocity?

The Radial Velocity formula is defined with respect to a given point is the rate of change of the distance between the object and the point is calculated using Radial Velocity = (Doppler Frequency*Wavelength)/2. To calculate Radial Velocity, you need Doppler Frequency (f_d) & Wavelength (λ). With our tool, you need to enter the respective value for Doppler Frequency & Wavelength 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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