Re: A Problem To Solve :-)

In sci.physics Physfitfreak <physfitfreak@gmail.com> wrote:

On 4/1/24 05:13, Farley Flud wrote:

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.
 
 

 
 
Like most other math or physics problems, one can solve it in very
difficult ways too :) Hehe :)
 
Question is, can you solve it by using nothing other than at most
college algebra! No PDE's. No calculus. Just simple college algebra math.

Since the intercept problem requires the solution of three dimensional
differential equations, no.

 
This "Miniball" is interesting though :) But heck, I solved it myself

You can not solve a problem you do not understand and it is blazingly
obvious to anyone that has even a little experience in solving intercept
problems that you haven't a clue.