       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.

```

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