Re: A Problem To Solve :-)

On Sun, 31 Mar 2024 19:40:02 -0500, Physfitfreak wrote:

 
If the missile computes that 5 fighter jets at time t will exactly be at
these coordinates in the sky:
 
Jet 1: (4.38 km, 3.9 km, 8.1 km)
Jet 2: (5.23 km, 9.61 km, 4.74 km)
Jet 3: (6.93 km, 6.01 km, 6.88 km)
Jet 4: (8.32 km, 2.12 km, 2.5 km)
Jet 5: (2.53 km, 4.23 km, 5.82 km)
 
then answer the following 2 questions:
 
1- what would be the coordinates of the point in the sky, that the
missile with the weakest warhead needs to explode at, at time t, to
damage all those 5 fighter jets critically enough?
 
2- within what minimum radius of that explosion, any fighter jet would
get critically damaged at time t?
>

AFAIK, this is a very difficult problem.'

But algorithms have recently been developed.  The best one is, of
course, implemented in FOSS:

https://github.com/hbf/miniball

When I get some free time I may try it out.