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Old January 13th 18, 12:54 PM posted to sci.astro
Paul B. Andersen[_10_]
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Default The eccentricity constant of solar objects

Den 12.01.2018 23.48, skrev Peter Riedt:
On Friday, January 12, 2018 at 10:52:32 PM UTC+8, Paul B. Andersen wrote:
Den 08.01.2018 01.16, skrev Peter Riedt:

X = .5*sqrt(4-3(a-b)^2/(a+b)^2)


X is more useful than SR and GR which cannot calculate any real elements of solar orbits.


A very strange idea.

X = X(e) = √(4-3⋅(1-√(1-e²))²/(1+√(1-e²))²)/2

e = 0.00 X = 1.0000000000
e = 0.04 X = 0.9999999399
e = 0.08 X = 0.9999990338
e = 0.12 X = 0.9999950691
e = 0.16 X = 0.9999842377
e = 0.20 X = 0.9999609449
e = 0.24 X = 0.9999175202
e = 0.28 X = 0.9998438029
e = 0.32 X = 0.9997265649
e = 0.36 X = 0.9995487110
e = 0.40 X = 0.9992881691
e = 0.44 X = 0.9989163362
e = 0.48 X = 0.9983958716
e = 0.52 X = 0.9976775062
e = 0.56 X = 0.9966953251
e = 0.60 X = 0.9953596037
e = 0.64 X = 0.9935455742
e = 0.68 X = 0.9910751195
e = 0.72 X = 0.9876855065
e = 0.76 X = 0.9829727662
e = 0.80 X = 0.9762812095
e = 0.84 X = 0.9664653233
e = 0.88 X = 0.9512997861
e = 0.92 X = 0.9256679486
e = 0.96 X = 0.8733242883
e = 1.00 X = 0.5000000000

So you have made a function which evaluates to something
very close to 1 for most eccentricities.
What's the point with that?

Wouldn't the function X = 1.0 be equal useful?

What does X tell us about the planetary orbits?

Mercury e = 0.2056 X = 0.9999562811
Venus e = 0.0086 X = 0.9999999999
Earth e = 0.0167 X = 0.9999999982
Mars e = 0.0934 X = 0.9999982007
Jupiter e = 0.0484 X = 0.9999998711
Saturn e = 0.0541 X = 0.9999997986
Uranus e = 0.0472 X = 0.9999998834
Neptun e = 0.0086 X = 0.9999999999
Pluto e = 0.2488 X = 0.9999043107

You said:
"X is more useful than SR and GR which cannot
calculate any real elements of solar orbits."

Can you please explain what elements of solar orbits
you can calculate using X?

--
Paul

https://paulba.no/


A very good analysis by you. X may not be used to calculate solar orbits but it shows the various eccentricities of orbits are close to a constant.


Come again?

The eccentricities of the orbits a
Mercury e = 0.2056
Venus e = 0.0086
Earth e = 0.0167
Mars e = 0.0934
Jupiter e = 0.0484
Saturn e = 0.0541
Uranus e = 0.0472
Neptun e = 0.0086
Pluto e = 0.2488

They are very different, and not "close to the same constant".

The values for your X, with same precision as above, a
Mercury X = 1.0000
Venus X = 1.0000
Earth X = 1.0000
Mars X = 1.0000
Jupiter X = 1.0000
Saturn X = 1.0000
Uranus X = 1.0000
Neptun X = 1.0000
Pluto X = 0.9999

So despite the fact that the eccentricities of the planets
varies a lot, your X is close to 1 for all of them.

So I repeat the questions:
What can the X tell you about the orbits?
Wouldn't the function X = 1.0 be equal useful?

--
Paul

https://paulba.no/