# Radar Range Calculator

Radar Range refers to a method of detecting distant objects and determining their position, velocity or other characteristics by analysis of very high frequency radio waves reflected from their surfaces. Radar is an object-detection system which uses radio waves to determine the range, altitude, direction, or speed of objects. The radar is used to detect aircraft, ships, spacecraft, guided missiles, motor vehicles, weather formations, and terrain.

Table of Contents:

Formula

**R _{Max} = ( ( P_{t} *G* S * A_{e} ) / ( ( 4 * PI)^{2} * P_{Min}))**

**Where,**

R_{Max} = Radar Range

P_{t} = Transmitted Pulse Peak Power

G = Maximum Power Gain of Antenna

S = Radar Cross Section Area

A_{e} = Antenna Aperture

P_{Min} = Minimum Detectable Signal of Receiver

Radar is known to the general public for its use by law enforcement in determining the speeds of motor vehicles. Radar has been used on the high-frequency (HF) radio bands, between approximately 5 MHz and 20 MHz, in an attempt to obtain early warning in the event of a nuclear assault via ballistic missiles.

**Example:**

Calculate the Radar Range for the given details.

Transmitted Pulse Peak Power (P_{t}): 25

Maximum Power Gain of Antenna (G): 20

Antenna Aperture (A_{e}): 15

Radar Cross Section Area (S): 10

Minimum Detectable Signal of Receiver (P_{MIN}): 5

**Solution:**

**Apply Formula:**

R_{Max} = ((P_{t} *G* S * A_{e}) / ( ( 4 * PI)^{2} * P_{Min}))

R_{Max} = ((25*20*15*10)/((4*3.14) 2 *5))

R_{Max} = ((75000)/ (12.56) 2*5))

R_{Max} = (75000 /157.75 *5)

R_{Max} = 75000 /788.768

R_{Max} = 95.0849933

**Radar Range (R _{MAX}): 95.0849933**