It’s a screenshot from Neil Ashby’s workshop „Relativity in the Global Positioning System” pdf
It shows well tested and grounded „Sagnac correction” used in GPS systems.
Scientists seem not interested in applying it to signal/light sent to the Saturn.
In TYCHOS such effect would be even more prominent.
Given 2.85e12 R(adius) in TYCHOS (1.5e12 in Copernican) and his rotational speed on equator 9.8e3 m/s, if one sends a signal/light to a gas atom on Saturn’s surface it should receive it after 9800 seconds + 0.312 second (Sagnac correction), by that time Saturn will rotate by ~90°.
Applied naively part of Saturn’s equator atoms should receive a light by the time them being on his ‘dark side’.
Any hints how to deal with it, any indications that it could be the case?
/I see that you’ve released PDFs for free, much love/
„In the shadow of Saturn, unexpected wonders appear. The robotic Cassini spacecraft now orbiting Saturn drifted in giant planet’s shadow for about 12 hours in 2006 and looked back toward the eclipsed Sun.” source
What’s nice here is a light lensing just on the edge of surface.