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In response to today being pi day (also see http://www.piday.org/), NASA has published it's fifth annual pi in the sky day 5 activity set (see also NASA goes the distance and Celebrate Pi Day with NASA).

I've asked about a more challenging pi-based question from NASA here, but this one is more Space SE-based.

  1. When will the Starman/Roadster spacecraft have traveled around the Sun by pi radians?
  2. When will it reach pi radians with respect to Earth as seen from the Sun (Solar conjunction as seen from Earth)?
  3. Will each of these happen before, on, or after next year's pi day?
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  • $\begingroup$ Related: How do I find out how far Falcon Heavy's Starman is from earth right now? $\endgroup$ – Tensibai Mar 14 '18 at 9:03
  • $\begingroup$ @Tensibai I see no angles given there. $\endgroup$ – uhoh Mar 14 '18 at 9:04
  • $\begingroup$ Yep, sorry, not duplicate, just related. I though there was some math details on the answer site, but my memory is faulty. $\endgroup$ – Tensibai Mar 14 '18 at 9:04
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    $\begingroup$ And I worked on, but didn't finish, a modification that will make this easy to do on my website this morning... Sigh. Still... $\endgroup$ – PearsonArtPhoto Mar 14 '18 at 13:31
  • $\begingroup$ Web sites like this are never completely finished, as the possibilities are endless. It's the price to pay for creativity I guess. $\endgroup$ – uhoh Mar 14 '18 at 14:34
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Using a few plots from http://www.whereisroadster.com/charts.html

  1. I don't have the exact start angle, but it will be about November 11, 2018

enter image description here

  1. It hovers close to, but not quite at, the pi point for almost a year, but I think the final value is Oct 21, 2019.

enter image description here

  1. The first will, the second will not.
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  • $\begingroup$ Excellent! The configuration for #2 is close enough to pi "for government work." $\endgroup$ – uhoh Mar 14 '18 at 14:30

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