[geocentrism] Re: World/Moon system
- From: Paul Deema <paul_deema@xxxxxxxxxxx>
- To: Geocentrism@xxxxxxxxxxxxx
- Date: Sat, 24 May 2008 19:32:59 +0000 (GMT)
Greetings all.
Due to perceived inadequacies, I here submit for your consideration a revised
version of my earlier post -- From Paul Deema Fri May 23 15:16:51 2008.
World/Moon system From Neville Jones Mon May 19 20:02:46 2008
"Diagrams, comments, thoughts, one-way tickets to the Gulag, ... toss them all
into the pot and let's see what comes out."
Version 2.
First a few simplifications -
The Earth's orbit is a circle; the Moon's orbit is a circle; The Moon's orbit
lies in the plane of the ecliptic; the Earth/Moon barycentre is at the centre
of gravity of the Earth.
Next, some approximate dimensions -
One day = 86400 s; one year = 365.25 days; the Earth's orbit has a radius of
150 * 10^6 km; the Moon's orbit has a radius of 384 * 10^3 km; the Earth
revolves at 360/365.25 = 0.986 deg/day; the Moon revolves at 360/27.322 = 13.2
deg/day; the Earth has an orbital velocity of 30 km/s; the Moon has an orbital
velocity of 1.0 km/s.
A body in orbit about the Sun at a distance 150 * 10^6 km, which does not
rotate on its axis (inclined at 0 deg wrt the plane of its orbit) experiences a
'day' of one year duration with the Sun rising over the western horizon and
setting over the eastern horizon. The shadow of a sundial will record a
traverse of 0.986 deg/day from East to West.
Should the body of the previous paragraph rotate in a prograde direction on its
axis once per year, then a sundial shadow will neither advance nor retreat from
a fixed position.
Again the same body, but rotating in the same direction at a rate of twice per
year -- the shadow will now advance from West to East at a rate of 0.986
deg/day.
Change the body's rotation rate to once per 27.322 days ie 13.2 deg/day and the
shadow will move from East to West at a rate of 13.2 - 0.986 = 12.214 deg/day.
This second term -- 0.986 -- is the 360 deg of the orbit divided by the number
of days to achieve one revolution. This body will have an orbital velocity of
30 km/s.
If we increase the orbital velocity to 31 km/s, then the time for one orbit is
reduced to 365.25 * 30/31 = 353.468 days and the orbital radial velocity
increases to 1.018 deg/day. If the body is still rotating at once per 27.322
days, then the shadow will advance at a rate of 13.2 - 1.018 = 12.182 deg/day.
At 29 km/s orbital velocity, the corresponding figures are 365.25 * 30/29 =
377.845 days orbital period and 0.953 deg/day revolution. Shadow advance then,
will be 13.2 - 0.953 = 12.247 deg/day. The difference is therefore 12.247 -
12.182 = 0.065 deg/day -- an eminently measurable difference.
Now the purists may cry foul because we all know that if an orbiting body is
travelling faster, then its orbit radius will be less, and conversely, if
slower then the radius will be greater. However, if the body we have been
discussing is the Moon and it is orbiting the Earth at a distance of 384 * 10^3
km, and the Earth/Moon barycentre is orbiting the Sun, then at full moon it
will be travelling at Earth orbital velocity plus Moon orbital velocity, while
at new moon it will be travelling at Earth orbital velocity minus Moon orbital
velocity. Its average velocity would therefore be 30 km/s. Under these
conditions we should see the rate of advance of the shadow at new moon to be
0.065 deg/day faster than at full moon.
Should the Universe however be centred on the Earth with the Moon and the Sun
orbiting it, the Moon's radial velocity would be constant and so the rate at
which the shadow advances would be constant.
A real test would of course need to take into account the fact that both orbits
in question are in fact ellipses, that they are not in the same plane and that
the orientation of the Luna orbit major axis remains fixed while its angle to
the Sun is constantly varying. I'm sure there will be other things which have
not occurred to me but I am also sure that -- if I have the mechanics properly
sorted -- this effect is eminently measurable. That we cannot immediately rush
out and do the experiment matters not -- science is in the habit of making
predictions which routinely take decades or centuries to demonstrate or
destroy.
Finally, the Earth/Moon barycentre is not at the Earth's centre of gravity --
there is an offset of about 4700 km. While the effect is greatly reduced, it
seems to me that the rate of shadow advance could, under these conditions, also
be shown to differ slightly between new moon and full moon on the Earth.
Paul D
Get the name you always wanted with the new y7mail email address.
www.yahoo7.com.au/mail
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