Re: Mach Projectile
> Using 3 microphones and some electronics, the source and destination of a
> flying bullet can be calculated. Here's how:
>
> http://mypeoplepc.com/members/jon8338/math/id21.html
>
Nope. Too many variables and two few data points. You really only have
two degrees of freedom in the data (Delta t_{12} and Delta t_{13} in your
notation, since Delta t_{23} = Delta t_{13} - Delta t_{12}), and there
are four degrees of freedom in the result you want (two for the unit direction
vector of the bullet, and another two for where the path intersects
a plane normal to that vector). And all this is under the doubtful assumption
that you know the speed of the bullet.
--
Robert Israel israel@math.MyUniversitysInitials.ca
Department of Mathematics http://www.math.ubc.ca/~israel
University of British Columbia Vancouver, BC, Canada
Fnews-brouse 1.9(20180406) -- by Mizuno, MWE <mwe@ccsf.jp>
GnuPG Key ID = ECC8A735
GnuPG Key fingerprint = 9BE6 B9E9 55A5 A499 CD51 946E 9BDC 7870 ECC8 A735