MathGroup Archive 2009

[Date Index] [Thread Index] [Author Index]

Search the Archive

Point on sphere greatest distance from given points

  • To: mathgroup at smc.vnet.net
  • Subject: [mg104054] Point on sphere greatest distance from given points
  • From: Kelly Jones <kelly.terry.jones at gmail.com>
  • Date: Sat, 17 Oct 2009 07:02:46 -0400 (EDT)

How can I use Mathematica to solve this problem:

Given n points on a sphere, I want to find a point x such that:

Sum[distance[x,i],{i,1,n}]

is maximal, where "distance" is spherical ("great circle") distance.

In other words, I want to find the point x "furthest" from the given n points.

Is there any chance x will coincide with one of the given points? If
so, is there a better notion of distance to use?

-- 
We're just a Bunch Of Regular Guys, a collective group that's trying
to understand and assimilate technology. We feel that resistance to
new ideas and technology is unwise and ultimately futile.


  • Prev by Date: Re: Code folding and wrapping using the input->code method?
  • Next by Date: Re: Coefficient Question
  • Previous by thread: Piecewise and Evaluated If Not Equivalent (at least not within
  • Next by thread: Re: Point on sphere greatest distance from given points