ISS, Tiangong, Satellites Over Puna

[TomK]

They were correct. No satellite can do that, at least not currently - such a maneuver would require an enormous amount of energy. In addition, even if it were possible, such a maneuver would almost certainly destroy the satellite from the g-forces involved (17,000 mph in one direction takes some doing to get it doing the same the other way).

I suspect you might have been seeing military aircraft at very high altitude - their navigation lights is likely how you spotted them. I've seen that same thing before, but during the day and out in Arizona where the air force tends to practice a lot.