Detecting RCS

A fighter jet has 1 m^2 rcs and is located at 200nmi. Where would a flock of birds with 0.0015 m^2 rcs should be located in order to have the same detectability?

Related Introductory Physics Homework Help News on Phys.org
jedishrfu
Mentor
isn't this a simple ratio with spherical areas?

1 / ( 4 pi (200)^2 ) = 0.0015 / ( 4 pi x^2 )

isn't this a simple ratio with spherical areas?

1 / ( 4 pi (200)^2 ) = 0.0015 / ( 4 pi x^2 )
Are you referring to the 4th root equation for radar range ?

((0.0015/1)^(0,25))*370,4=72,89 km or 32 NMI

jedishrfu
Mentor
I was thinking that the RCS is a % of a larger spherical surface. So the jet has an RCS 1sq meter at 200 nmi. Figure what % is 1 sq meter to the total surface area of the sphere of radius 200nmi (converted to 370636.8 meters).

1 / ( 4 * pi * ( 370636.8 )^2 ) = 5.80e-13 percent

0.0015 / (5.80e-13 % ) =4 * pi * r^2

and r = 45068.86 meters = 24.32 nmi

Ok , got it . Thank You.