Androcles wrote:

Here's a real fluke, look, a huff-puff star just happens to have a Keplerian
orbit, found from it's velocity curve:
http://www.androcles01.pwp.blueyonde.../Analemmae.htm

What a strange coincidence, eh?
Perhaps the data was faked to make it look like a Keplerian orbit.

No, you just don't seem to understand that the velocity measured is
nothing to do with movement of the star as a whole for Cepheids.

The velocity profile varies for different elements.
And it's nothing to do with an analemma either way.