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How could I calculate the alignment of 3 planets that orbit around the sun at the same speed? I have this data:

  • P1: Distance from the sun 1000km and angular velocity 1 degree per day.
  • P2: Distance from the sun 5000km and angular velocity 3 degree per day.
  • P3: Distance from the sun 9000km and angular velocity 5 degree per day.

What about if need to know if they alignment to sun too?

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    $\begingroup$ This sounds like a question for Mathematics or Physics rather than Puzzling. $\endgroup$ – Rand al'Thor Apr 2 '17 at 23:17
  • $\begingroup$ Not necessarily. Angular velocity is proportional to √(r³), so this is not physics. I'm inclined to think that it's more geometry or (gasp) numerical simulation. So I agree that it doesn't have a puzzle feel. But it's just possible that there's a puzzly trick to it... $\endgroup$ – Dr Xorile Apr 3 '17 at 1:09