On 10/30/2010 04:48 PM, Jim Lux wrote:


On Oct 30, 2010, at 3:31 AM, Javier Herrero<[email protected]>  wrote:

El 30/10/2010 10:31, Hal Murray escribió:


Suppose you have to go back a zillion years.  Now the fuzz on the period adds
to the fuzz on measuring an individual pulse.


Not to forget that pulsar frequencies spins down as the energy that they emits 
is ultimately drawn from its rotational energy (PSR B1937+21 spins down at 1.05 
x 10^-19 seconds per second). In a zillion years this could amount a bit of 
time (several hundred microseconds over the 2.29 x 10e8 years life of this 
pulsar if the spin down rate would have been constant - too much drift for a 
real time-nut ;) )


But if the decay rate is known, you could factor that into your calculation.  
In fact wouldn't specifying the time of an event as the observed phase of the 
pulsars be unique.  That is if something is at a time of 75%A,22%B,54%C, does 
that specify a unique time and place?

If you would have constant rates and three phase observables that would give you a unique time modulus the beating period of this oscillator combination. To solve it you would use the chinese reminder. However, the chinese reminder theorem does not handle case with changing rates. Also, the ability to predict deep into the futures is severely limited by the precision of our modelling of these sources and possible other effects playing in on them. Also, the precision by which we makes the measures is a limiting factor. Sorting all of this out would

Percent, here, is where the event occurred in the period between the pulses

Degrees would have helped more.

I think pulsars alone would be difficult for long-term, omni-positional timing. We haven't even touched on stellar movements over long time periods.

Also, our observation will be in movement from the various sources, so doppler compensation would be required.

It's not a completely unsolveable thing, but a lot of things shifting over time throwing in massive of unknown parameters which would need to be estimated with sufficient precision if we where to build from scratch the time and time-scale.

Just agreeing on the definitions of the star-book to traverse cultural, time and position boundaries would be an interesting problem.

Cheers,
Magnus

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