All 150 seats on the March 23 flight sold out within days of going on sale.
Tickets were priced at $3950 per pair of window seats in economy, and $8500 per pair in business class.
The flight is the initiative of Otago Museum director and former Nasa Space Telescope Science Institute public outreach head Ian Griffin, and will be the first of its kind in the southern hemisphere.
''It sold out in five days. I was absolutely surprised - delighted,'' Dr Griffin said.
''Given the demand, it is a possibility we could run more than one flight next time.''
One of the problems was the biggest plane that could fly from Dunedin was a Boeing 767 and Air New Zealand was retiring its 767s at the end of this month.
''Having said that, I heard just a couple of days ago that Air New Zealand might be buying some Airbus A321s. They potentially have the range, and they can land in Dunedin.
''If that happens, then we might be able to do it again next year.''
Dr Griffin said the aim was to make the Aurora Australis flights a tourist attraction.
Next Thursday's seven-hour flight would take advantage of the equinox aurora effect, when there would be 12 hours of daylight and 12 hours of darkness.
The flight would leave Dunedin Airport about 9pm, head as far south as 62deg, and return at 4am or 5am the next day.
The flight path would zigzag across the international dateline four times, so people on both sides of the aircraft could get a good view of the aurora, he said.
