From: Farley Flud <ff@linux.rocks>
Subject: Re: A Problem To Solve :-)
Newsgroups: comp.os.linux.advocacy,sci.physics
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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.