Folks, this feels like a bit of a longshot, but I've underestimated the breadth of knowledege represented on this forum before -- so here's hoping!
I would like to know what the angles were between these objects at time 2017-01-16T13:06:18.716Z UTC (SCET on Cassini).
- The Sun
- Saturn (planet)
- Daphnis (small moon of Saturn)
- Cassini (NASA space probe)
Specifically,
- Cassini-Daphnis-Sun angle
- Cassini-Daphnis-Saturn angle
- Sun-Daphnis-Saturn angle
- Sun-Saturn-SaturnNorthPole angle (so, in other words, the angle between Sun-Saturn line and Saturn's axis of rotation)
- Cassini-Saturn-SaturnNorthPole angle (as above, but with the Cassini-Saturn line).
Or, any data which I could combine with simple geometry to get these same numbers.
(Unless otherwise noted, Saturn means the centre of Saturn.)
I've been playing around with 'NASA's Eyes' (
deeplink to the given time maybe?) and 'Space Engine', but unfortunately the former doesn't know about Daphnis (!) and the latter doesn't know about Cassini; and neither seem to offer a way to export any sort of coordinate data (which I guess stands to reason since they don't seem to be intended for scientific work.)
Any hints or advice (or even fully worked solutions :-D) would be most appreciated.