So you're planning to hitchhike to Tau Ceti? You do know it's off season and the hotel rates are insane? You don't even want to know what a Pan Galactic Gargle Blaster will set you back.
A properly made Pan Galactic Gargle Blaster will set you back into infancy, no matter what the season.
Assuming the sun as at the center of the ellipse - which I believe it isn't in this case. So it's right roughly once a year.
Actually, depending on how big the ellipse is compared with the circle with a 1 AU radius, it could be right from 0 times (circle way too big, or way too small), to as many as 4. Play around with an ellipse and a circle centered at one focus and you'll see what I mean. As the relative sizes change, the number of times it's right changes too. Thank god we got *that* straightened out.