Groups > sci.physics.relativity > #390737

Re: The trajectory parameters a, t and v of some of Jupiter's moons

From	Sylvia Else <sylvia@not.at.this.address>
Newsgroups	sci.physics.relativity
Subject	Re: The trajectory parameters a, t and v of some of Jupiter's moons
Date	2016-08-24 20:18 +1000
Message-ID	<e25aisFmpenU1@mid.individual.net> (permalink)
References	(2 earlier) <4956d139-3282-47fc-89b0-37820fd761b4@googlegroups.com> <e24u7cFjppjU1@mid.individual.net> <cbb1e62d-2fdd-4848-bbb7-4e3aeb3c0a9b@googlegroups.com> <e253veFl5btU1@mid.individual.net> <10a59e80-0a8e-412e-8dc5-d019bfd9c2e9@googlegroups.com>

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On 24/08/2016 6:34 PM, Peter Riedt wrote:
> On Wednesday, August 24, 2016 at 4:25:22 PM UTC+8, Sylvia Else
> wrote:
>> On 24/08/2016 5:54 PM, Peter Riedt wrote:
>>> On Wednesday, August 24, 2016 at 2:47:11 PM UTC+8, Sylvia Else
>>> wrote:
>>>
>>>> No, GR is the real thing, but it's complicated. Since you
>>>> appear not to have the math skills, and since you won't accept
>>>> that it reduces to Kepler's 3rd law for practical Solar System
>>>> orbital mechanics purposes (Mercury excepted), there is no way
>>>> that you can be convinced that it does the job.
>>>>
>>>> Sylvia.
>>>
>
>>> I agree in principle. Wikipedia: "The Einstein field equations
>>> are nonlinear and very difficult to solve. Einstein used
>>> approximation methods in working out initial predictions of the
>>> theory. But as early as 1916, the astrophysicist Karl
>>> Schwarzschild found the first non-trivial exact solution to the
>>> Einstein field equations, the Schwarzschild metric".
>>>
>>> It is above my and everybody's ability but his theories are
>>> supported by the collusion of political correctness.
>>>
>>> On the other hand you have alluded a number of times to Kepler's
>>> 3rd. Kepler is the original source and if you are correct in that
>>> the problem of atv can be solved by his laws please attempt to do
>>> it.
>>>
>>
>> It requires knowledge of the central mass. You claim that your
>> theory does not.
>>
>> Sylvia.
>
> The masses of the sun and Jupiter are well known. Perhaps you could
> do it to see if my calculations are similar. If they differ you may
> be right that I am wrong.
>

The constant of proportionality in Kepler's third law is 4 * Pi^2 / (G * M)

So we have P^2 / a^3 = 4 * Pi^2 / (G * M)

P = sqrt(Pi^2 * a ^ 3 / (G * M))

Where the central body is the sun, the product G * M is known more 
accurately than either of the factors, being 1.32712440018(9)×10^20

The semi-major axis of Earth is 149,598,023 km

Plugging those numbers in gives a value for P of 31558244.21 seconds, 
which is 365.26 days to two decimal places.

Since the Earth's orbit is not circular, the velocity varies around the 
orbit. It can be approximated by taking the semi-major axis as the 
radius of a circle, calculating the circumference of the circle, and 
then apply distance divided by time.

Indeed, that's not the only circularity involved, since the mass of the 
Sun was calculated by applying this formula in reverse to get G * M, and 
then dividing by the value of G determined by laboratory measurements.

Sylvia.

Thread

The trajectory parameters a, t and v of some of Jupiter's moons Peter Riedt <riedt1@yahoo.co.uk> - 2016-08-23 23:24 -0700
  Re: The trajectory parameters a, t and v of some of Jupiter's moons Poutnik <poutnik4nntp@gmail.com> - 2016-08-24 08:31 +0200
  Re: The trajectory parameters a, t and v of some of Jupiter's moons Sylvia Else <sylvia@not.at.this.address> - 2016-08-24 16:38 +1000
    Re: The trajectory parameters a, t and v of some of Jupiter's moons Peter Riedt <riedt1@yahoo.co.uk> - 2016-08-23 23:43 -0700
      Re: The trajectory parameters a, t and v of some of Jupiter's moons Sylvia Else <sylvia@not.at.this.address> - 2016-08-24 16:47 +1000
        Re: The trajectory parameters a, t and v of some of Jupiter's moons Peter Riedt <riedt1@yahoo.co.uk> - 2016-08-24 00:54 -0700
          Re: The trajectory parameters a, t and v of some of Jupiter's moons Sylvia Else <sylvia@not.at.this.address> - 2016-08-24 18:25 +1000
            Re: The trajectory parameters a, t and v of some of Jupiter's moons Peter Riedt <riedt1@yahoo.co.uk> - 2016-08-24 01:34 -0700
              Re: The trajectory parameters a, t and v of some of Jupiter's moons Sylvia Else <sylvia@not.at.this.address> - 2016-08-24 20:18 +1000
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Peter Riedt <riedt1@yahoo.co.uk> - 2016-08-24 20:53 -0700
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Sylvia Else <sylvia@not.at.this.address> - 2016-08-25 16:08 +1000
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Peter Riedt <riedt1@yahoo.co.uk> - 2016-08-25 01:11 -0700
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Peter Riedt <riedt1@yahoo.co.uk> - 2016-08-26 19:35 -0700
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Sylvia Else <sylvia@not.at.this.address> - 2016-08-27 13:40 +1000
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Peter Riedt <riedt1@yahoo.co.uk> - 2016-08-26 21:48 -0700
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Gary Harnagel <hitlong@yahoo.com> - 2016-08-27 05:19 -0700
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Odd Bodkin <bodkinodd@gmail.com> - 2016-09-06 08:34 -0500
              Re: The trajectory parameters a, t and v of some of Jupiter's moons Prokaryotic Caspase Homolog <prokaryotic.caspase.homolog@gmail.com> - 2016-08-24 07:53 -0700
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Gary Harnagel <hitlong@yahoo.com> - 2016-08-24 09:42 -0700
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Peter Riedt <riedt1@yahoo.co.uk> - 2016-08-24 18:18 -0700
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Sylvia Else <sylvia@not.at.this.address> - 2016-08-25 11:53 +1000
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Peter Riedt <riedt1@yahoo.co.uk> - 2016-08-24 21:01 -0700
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Sylvia Else <sylvia@not.at.this.address> - 2016-08-25 16:11 +1000
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Odd Bodkin <bodkinodd@gmail.com> - 2016-08-25 08:44 -0500
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Peter Riedt <riedt1@yahoo.co.uk> - 2016-08-25 01:19 -0700
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Prokaryotic Caspase Homolog <prokaryotic.caspase.homolog@gmail.com> - 2016-08-25 06:18 -0700
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Peter Riedt <riedt1@yahoo.co.uk> - 2016-08-25 22:14 -0700
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Odd Bodkin <bodkinodd@gmail.com> - 2016-08-25 08:36 -0500
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Peter Riedt <riedt1@yahoo.co.uk> - 2016-08-25 17:58 -0700
                Re: The trajectory parameters a, t and v of some of Jupiter's moons "Dono," <sa_ge@comcast.net> - 2016-08-25 18:47 -0700
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Peter Riedt <riedt1@yahoo.co.uk> - 2016-08-25 19:36 -0700
                Re: The trajectory parameters a, t and v of some of Jupiter's moons "Dono," <sa_ge@comcast.net> - 2016-08-25 20:20 -0700
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Odd Bodkin <bodkinodd@gmail.com> - 2016-08-26 15:14 -0500
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Peter Riedt <riedt1@yahoo.co.uk> - 2016-08-26 20:44 -0700
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Odd Bodkin <bodkinodd@gmail.com> - 2016-09-06 08:33 -0500
          Re: The trajectory parameters a, t and v of some of Jupiter's moons Poutnik <poutnik4nntp@gmail.com> - 2016-08-24 11:08 +0200
          Re: The trajectory parameters a, t and v of some of Jupiter's moons Odd Bodkin <bodkinodd@gmail.com> - 2016-08-24 07:48 -0500
            Re: The trajectory parameters a, t and v of some of Jupiter's moons Peter Riedt <riedt1@yahoo.co.uk> - 2016-08-24 17:54 -0700
              Re: The trajectory parameters a, t and v of some of Jupiter's moons "Dono," <sa_ge@comcast.net> - 2016-08-24 18:00 -0700
              Re: The trajectory parameters a, t and v of some of Jupiter's moons Odd Bodkin <bodkinodd@gmail.com> - 2016-08-25 08:34 -0500
            Re: The trajectory parameters a, t and v of some of Jupiter's moons mlwozniak@wp.pl - 2016-08-25 02:46 -0700
          Re: The trajectory parameters a, t and v of some of Jupiter's moons "Dono," <sa_ge@comcast.net> - 2016-08-24 07:22 -0700
            Re: The trajectory parameters a, t and v of some of Jupiter's moons Peter Riedt <riedt1@yahoo.co.uk> - 2016-08-24 17:56 -0700
              Re: The trajectory parameters a, t and v of some of Jupiter's moons "Dono," <sa_ge@comcast.net> - 2016-08-24 18:02 -0700
          Re: The trajectory parameters a, t and v of some of Jupiter's moons Tom Roberts <tjroberts137@sbcglobal.net> - 2016-08-24 11:36 -0500
            Re: The trajectory parameters a, t and v of some of Jupiter's moons Peter Riedt <riedt1@yahoo.co.uk> - 2016-08-24 18:03 -0700
            Re: The trajectory parameters a, t and v of some of Jupiter's moons mlwozniak@wp.pl - 2016-08-25 02:50 -0700
      Re: The trajectory parameters a, t and v of some of Jupiter's moons Poutnik <poutnik4nntp@gmail.com> - 2016-08-24 11:07 +0200
        Re: The trajectory parameters a, t and v of some of Jupiter's moons Peter Riedt <riedt1@yahoo.co.uk> - 2016-08-24 17:38 -0700
          Re: The trajectory parameters a, t and v of some of Jupiter's moons Prokaryotic Caspase Homolog <prokaryotic.caspase.homolog@gmail.com> - 2016-08-24 20:40 -0700
            Re: The trajectory parameters a, t and v of some of Jupiter's moons Prokaryotic Caspase Homolog <prokaryotic.caspase.homolog@gmail.com> - 2016-08-26 04:01 -0700
              Re: The trajectory parameters a, t and v of some of Jupiter's moons Peter Riedt <riedt1@yahoo.co.uk> - 2016-08-26 19:54 -0700
          Re: The trajectory parameters a, t and v of some of Jupiter's moons Odd Bodkin <bodkinodd@gmail.com> - 2016-08-25 08:32 -0500
      Re: The trajectory parameters a, t and v of some of Jupiter's moons Odd Bodkin <bodkinodd@gmail.com> - 2016-08-24 07:46 -0500
      Re: The trajectory parameters a, t and v of some of Jupiter's moons Prokaryotic Caspase Homolog <prokaryotic.caspase.homolog@gmail.com> - 2016-08-24 07:52 -0700
    Re: The trajectory parameters a, t and v of some of Jupiter's moons Peter Riedt <riedt1@yahoo.co.uk> - 2016-08-27 09:20 -0700
      Re: The trajectory parameters a, t and v of some of Jupiter's moons Prokaryotic Caspase Homolog <prokaryotic.caspase.homolog@gmail.com> - 2016-08-27 10:59 -0700
        Re: The trajectory parameters a, t and v of some of Jupiter's moons Prokaryotic Caspase Homolog <prokaryotic.caspase.homolog@gmail.com> - 2016-08-27 16:30 -0700
          Re: The trajectory parameters a, t and v of some of Jupiter's moons Peter Riedt <riedt1@yahoo.co.uk> - 2016-08-27 18:38 -0700
            Re: The trajectory parameters a, t and v of some of Jupiter's moons Prokaryotic Caspase Homolog <prokaryotic.caspase.homolog@gmail.com> - 2016-08-27 20:45 -0700
              Re: The trajectory parameters a, t and v of some of Jupiter's moons Peter Riedt <riedt1@yahoo.co.uk> - 2016-08-27 22:06 -0700
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Prokaryotic Caspase Homolog <prokaryotic.caspase.homolog@gmail.com> - 2016-08-28 00:01 -0700
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Peter Riedt <riedt1@yahoo.co.uk> - 2016-08-28 21:26 -0700
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Prokaryotic Caspase Homolog <prokaryotic.caspase.homolog@gmail.com> - 2016-08-29 04:55 -0700
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Peter Riedt <riedt1@yahoo.co.uk> - 2016-08-29 19:20 -0700
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Prokaryotic Caspase Homolog <prokaryotic.caspase.homolog@gmail.com> - 2016-08-29 19:33 -0700
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Prokaryotic Caspase Homolog <prokaryotic.caspase.homolog@gmail.com> - 2016-08-29 20:00 -0700
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Odd Bodkin <bodkinodd@gmail.com> - 2016-09-06 11:34 -0500
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Prokaryotic Caspase Homolog <prokaryotic.caspase.homolog@gmail.com> - 2016-09-06 09:56 -0700
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Peter Riedt <riedt1@yahoo.co.uk> - 2016-09-06 18:54 -0700
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Prokaryotic Caspase Homolog <prokaryotic.caspase.homolog@gmail.com> - 2016-09-06 19:59 -0700
                Re: The trajectory parameters a, t and v of some of Jupiter's moons John Gogo <jfgogo22@yahoo.com> - 2016-09-06 20:07 -0700
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Peter Riedt <riedt1@yahoo.co.uk> - 2016-09-06 21:47 -0700
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Python <python@org.invalid> - 2016-09-07 10:41 +0200
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Odd Bodkin <bodkinodd@gmail.com> - 2016-09-07 07:45 -0500
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Peter Riedt <riedt1@yahoo.co.uk> - 2016-09-10 19:07 -0700
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Odd Bodkin <bodkinodd@gmail.com> - 2016-09-11 17:49 -0500
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Peter Riedt <riedt1@yahoo.co.uk> - 2016-09-11 18:02 -0700
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Odd Bodkin <bodkinodd@gmail.com> - 2016-09-11 20:08 -0500
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Peter Riedt <riedt1@yahoo.co.uk> - 2016-09-12 00:48 -0700
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Odd Bodkin <bodkinodd@gmail.com> - 2016-09-12 07:34 -0500
                Re: The trajectory parameters a, t and v of some of Jupiter's moons John Gogo <jfgogo22@yahoo.com> - 2016-09-06 19:40 -0700
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Peter Riedt <riedt1@yahoo.co.uk> - 2016-09-06 19:21 -0700
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Odd Bodkin <bodkinodd@gmail.com> - 2016-09-07 07:32 -0500
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Peter Riedt <riedt1@yahoo.co.uk> - 2016-09-07 19:38 -0700
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Odd Bodkin <bodkinodd@gmail.com> - 2016-09-08 11:20 -0500
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Peter Riedt <riedt1@yahoo.co.uk> - 2016-09-08 11:10 -0700
                Re: The trajectory parameters a, t and v of some of Jupiter's moons Odd Bodkin <bodkinodd@gmail.com> - 2016-09-06 11:27 -0500
              Re: The trajectory parameters a, t and v of some of Jupiter's moons Peter Riedt <riedt1@yahoo.co.uk> - 2016-08-27 23:57 -0700
  Re: The trajectory parameters a, t and v of some of Jupiter's moons Peter Riedt <riedt1@yahoo.co.uk> - 2016-08-23 23:39 -0700
    Re: The trajectory parameters a, t and v of some of Jupiter's moons Poutnik <poutnik4nntp@gmail.com> - 2016-08-24 11:12 +0200
      Re: The trajectory parameters a, t and v of some of Jupiter's moons mlwozniak@wp.pl - 2016-08-24 02:41 -0700
      Re: The trajectory parameters a, t and v of some of Jupiter's moons Odd Bodkin <bodkinodd@gmail.com> - 2016-08-24 07:50 -0500
        Re: The trajectory parameters a, t and v of some of Jupiter's moons mlwozniak@wp.pl - 2016-08-25 02:48 -0700
      Re: The trajectory parameters a, t and v of some of Jupiter's moons Peter Riedt <riedt1@yahoo.co.uk> - 2016-08-24 17:40 -0700
        Re: The trajectory parameters a, t and v of some of Jupiter's moons Odd Bodkin <bodkinodd@gmail.com> - 2016-08-25 08:33 -0500
    Re: The trajectory parameters a, t and v of some of Jupiter's moons Peter Riedt <riedt1@yahoo.co.uk> - 2016-09-02 19:00 -0700
  Re: The trajectory parameters a, t and v of some of Jupiter's moons Odd Bodkin <bodkinodd@gmail.com> - 2016-08-24 07:45 -0500
  Re: The trajectory parameters a, t and v of some of Jupiter's moons Prokaryotic Caspase Homolog <prokaryotic.caspase.homolog@gmail.com> - 2016-08-24 07:43 -0700
    Re: The trajectory parameters a, t and v of some of Jupiter's moons Peter Riedt <riedt1@yahoo.co.uk> - 2016-08-24 17:59 -0700
  Re: The trajectory parameters a, t and v of some of Jupiter's moons astrofoton@interia.pl - 2016-08-26 10:30 -0700
    Re: The trajectory parameters a, t and v of some of Jupiter's moons Peter Riedt <riedt1@yahoo.co.uk> - 2016-08-26 20:37 -0700
      Re: The trajectory parameters a, t and v of some of Jupiter's moons astrofoton@interia.pl - 2016-08-27 08:12 -0700

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