1
Flat Earth Theory / Re: 3 Body Analytical Analyses
« on: May 21, 2020, 06:30:11 AM »JSS wrote "We have since proven Einstein right beyond a doubt with much better measurements and countless experiments."Quote from: JSSWe have since proven Einstein right beyond a doubt with much better measurements and countless experiments.
That's not true at all. Einstein was highly disputed, which is why he did not win the Nobel Prize for relativity, and was only awarded one for his work on the photoelectric effect, to which he responded by claiming racism.
But all you say is "Einstein was highly disputed" which does not refute the statement made by LSS in the slightest.
It is true that originally "Einstein was highly disputed" but since 1915 Einstein's General Theory of Relativity has gained almost, but not quite, universal acceptance.
There is now voluminous experimental evidence supporting GRT. for example:
Experimental Tests of General Relativity by Slava G. Turyshev
Quote from: Paul Sutter
Why Relativity's True: The Evidence for Einstein's Theory[/b]]Why Relativity's True: The Evidence for Einstein's TheoryNot that anyone regards Einstein's theories as the be all and end all.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Never stop testing
Even with all that evidence, we continue to put general relativity to the test. Any sign of a crack in Einstein's magnificent work would spark the development of a new theory of gravity, perhaps paving the way to uncovering the full quantum nature of that force. That's something we currently don't understand at all.
But in all regards, GR passes with flying colors; from sensitive satellites to gravitational lensing, from the [urlhttps://www.space.com/37745-einstein-relativity-tested-by-star-black-hole.html]orbits of stars[/url] around giant black holes to ripples of gravitational waves and the evolution of the universe itself, Einstein's legacy is likely to persist for quite some time.
Quote from: Tom Bishop
Also, I found the current model of the Moon in the paper that stack posted.That illustration might be but the current lunar orbit is no longer described in terms of an epicycle and different (with possibly an equant) but as an approximate precessing ellipse.
See the illustration on page 600 and the caption, that the basic model was "adopted ever since."
Quote from: Tom Bishop
QuoteV. THE MANY MOTIONS OF THE MOON
A. The traditional model of the Moon
A plane through the center of the Earth is determined at an inclination g of about 5 degrees with respect to the ecliptic. The Moon moves around the Earth in that plane on an ellipse with fixed semi-major axis a and eccentricity « of about 1/18. The Greek model was quite similar, except that the ellipse was replaced by an eccentric circle.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
D. The evection—Greek science versus Babylonian astrology
The Babylonians knew that the full moons could be as much as 10 hours early or 10 hours late; this is due to the eccentricity of the Moon’s orbit. But the Greeks wanted to know whether the Moon displays the same kind of speedups and delays in the half moons, either waxing or waning. The answer is found with the help of a simple instrument that measures the angle between the Moon and the Sun as seen from the Earth. The half moons can be as much as 15 hours early or late. With the Moon moving at an average speed of slightly more than 308 per hour (its own apparent diameter!), it may be as much as 5° ahead or behind in the new/full moons; but in the half moons, it may be as much as 7°308 ahead or behind its average motion. This new feature is known as election.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
"With the improvements of the Persian, Jewish, and Arab astronomers, as well as Copernicus, the changes in the Moon’s apparent diameter are still too large with +/- 10%. As in Kepler’s second law, the Fourier expansion (12) has to include epicycles both in the backward and in the forward direction, in the ratio 3:1."
But all you include in your quote is "V. The traditional model of the Moon" and ignore the rest:
"VI. Newton’s Work in Lunar Theory",
"VII. Lunar Theory in the Age of Enlightenment",
"VIII. The Systematic Development of Lunar Theory",
"IX. The Canonical Formalism",
"X. Expansion around a Periodic Orbit" and most importantly
"XI. Lunar Theory in the 20th Century".
And soon after Newton published his "Laws of Motion and Universal Gravitation" Newton and the astronomers of his day put in a great deal of effort into explaining the details of the lunar orbit.
They had allowed for the quadripole gravitational moment of Earth due to its oblateness and the effect of the Sun's gravitation but it didn't match until the inc;used the effect of Jupiter's gravitation.
In the end it was a great triumph of Newton's Laws and finally, most astronomers accepted their accuracy.
It's so interesting that from "The traditional model of the Moon" even the ancient Greeks and Ptolemy were very close to the modern orbital characteristics of the Moon but seems nothing like the orbit or the moon in tour flat Earth model. Why is that?
So none of what you quote represents "Lunar Theory in the 20th Century" other than the diagram which shows the inclination of the lunar orbit at 5° very close to the modern 5.15°.
Why are you so far out of date with your references?
A great deal has been learned since the time of Isaac Newton and even since Einstein first published his General Theory of Relativity.