On Mon, 9 Jul 2007 00:00:52 +0100, "George Dishman"
wrote:
"Henri Wilson" HW@.... wrote in message
.. .
This what you said:
"I am assuming the
time of arrival is similarly spaced to the time
of departure but that is correct if the effect
is VDoppler only.
""""
Yep, I also said that I was aware that was wrong but it
only affects the rectangular pulse width. Maybe that
was too complex for you to follow.
IT IS CORRECT ONLY IF EINSTEIN'S SECOND POSTULATE IS TRUE.
I said it wasn't correct, perhaps you should read
more carefully.
You said it in a very strange way.
Of course, but also if they are both emitted while
the source is moving towards the observer, the pair
arrive earlier at their destination than pulses
emitted at the same time but from a source at rest
wrt the barycentre. That is the only effect I have
omitted since the pulse width is arbitrary anyway
and it is only an illustration, not a simulation.
You seem to be digging your hole deeper and deeper..
Nope, just pointing out I was already aware of the
simplification I was making in the diagram. If you
understood ballistic theory as well as I, you wouldn't
have batted an eyelid.
It so happens that the shape of some elliptical orbits in particular is
such
that pulses emitted at regular interval from 'concave' sections bunch
together
whilst those emitted from the convex, move apart. There are sections
from which
light emitted sequentially over a certain time interval will arrive at
an
observer over a much shorter time interval. An observer will see this as
large
brightness increase.
Yes, and that is what I have been discussing all along.
Then why did you make the stupid claim, above?
They are all accurate as you would know if you understood
the theory.
George, I have yet to see you provide an equation for or calculate 'photon
bunching' at a particular distance.
The frequency is not infinite, it is included.
Frequency itself is not an issue. The difference between emission and
arrival
frequencies IS.
Yep, and that change produces what we have been
calling VDoppler for months.
Not it isn't George.
It's ADoppler.
It is caused by the source continually changing velocity, ie., accelerating.
To summarise - the time between pulses (or wavecrest
emissions) is non-zero. During that time the source
moves some distance towards or away from the observer.
That leads to the VDoppler term, (1+v/c). In addition
the speed for one pulse may differ from the previous
which leads to the ADoppler term, 1/(1-Ra/c^2). The
distance moved and the difference in speed also affect
the time of arrival of each wavecrest which slightly
distorts the resulting curves. So what do you think
I have missed?
You are making the wrong calculation. You are not calculating how
photon/pulse
density changes with distance.
Yes I am, we have been calling that 'bunching' effect
ADoppler for months.
It is the same as the arrival frequency that you just attributed to VDoppler.
You have not even included observer distance.
No need, the observer distance is always much greater
than the speed equalisation distance (as you point
out - no multiple images) so I take the limit at
infinity.
You haven't included distance at all.
It is fundamental to the theory and calculation.
George
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