It involved timing of Jupiters moons coming around her when Jupiter is on this side of the sun...
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sparklite2, I heard Professor Richard Feynman discuss that in one of his lectures. It's fascinating. BTW, many of Feynman's introductory lectures on gravitation, etc. can be found on YouTube. I have converted a few to mp3 files and listened on the way to work. Great stuff!
Your example of Jupiter measurements is telling to me because it's decidedly of a "solar system scale". In other words, a great deal of (relative) accuracy can be arrived at through human built instruments.
However, when you consider that the center of our tiny solar system is calculated at 25,000 light years away and the closest other galaxy is 158,000 light years away. And the closest spiral galaxy, Andromeda is 2.5 million light years away.
When you consider those distances, human verification of deep space astronomical theories is a crap shoot.
To me as a layman, a science like astronomy is of a different realm, one where religious faith in man's abilities and deep state space science overpower the measurable probabilities that give precision to mechanical and electrical engineering.
Am I mistaken?
The speed of light measurements are done on Earth. The refinement of the figure has been ongoing for the past few hundred years. No, it’s not a crap shoot, and it’s not based on religious anything. What you’re experiencing there is projection.
https://www.physlink.com/education/askexperts/ae22.cfm
The increased mass makes it harder to push the planet faster, and as you speed along closer to light speed, the energy/mass conversion adds so much mass to the planet you can't push it any faster, and the mass gets jaw droppingly large. No wonder you can't push it any faster.