Finding median of a set of circular data

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How to find the median of a set of circular data?e question was first posted at think link:Finding median of a set of circular data

As per the suggestions received, I am repeating the question here.

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Googling indicates that there is a reasonably-well accepted definition of "circular median" exists - see e. g. http://digitalcommons.wayne.edu/cgi/viewcontent.cgi?article=1738&context=jmasm . If you put your observations on a circle, the circular median is a point $P$ on that circle such that:

  1. the number of observations on each side of the diameter through that point is equal
  2. there are more points closer to $P$ than its antipode $Q$.

I am not knowledgeable enough to know a good algorithm for finding the circular median but this is a place to start.