[time-nuts] I thought GPS repeated every 12 hours (-2 minutes)

Tom Van Baak tvb at LeapSecond.com
Mon May 23 22:01:12 EDT 2016


Thanks to Hal and Peter for catching my sign/180 degree error.
This means Skip's nocturnal evil twin lives near the border of China / Tajikistan / Kyrgyzstan instead of Inner Mongolia. Here are the contrasting maps:

https://www.google.com/maps/@39.68,-104.902,600782m/data=!3m1!1e3
https://en.wikipedia.org/wiki/Denver

vs.

https://www.google.com/maps/@39.68,75.09,600782m/data=!3m1!1e3
https://en.wikipedia.org/wiki/Kashgar

Attached are the predicted GPS SV counts for the next 24 hours for each location. You can see they are almost identical. GPS sister cities.
Skip, let me know if these predictions sort of match what you actually observe.

/tvb

----- Original Message ----- 
From: Peter Marczinowski 
To: Tom Van Baak ; Discussion of precise time and frequency measurement 
Sent: Monday, May 23, 2016 6:01 PM
Subject: Re: [time-nuts] I thought GPS repeated every 12 hours (-2 minutes)


Hi Tom,
IMHO in your point "2)" you should not mirror the -104 to +104, but add 180 degrees instead resulting in a final longitude of +76 after 12 hours. In all other respects I agree. 
Peter


Am Dienstag, 24. Mai 2016 schrieb Tom Van Baak :

Hi Skip,

> Any help in understanding this behavior?  Thanks in advance.

Yes, GPS satellites do repeat every ~12 hours in orbit around the mass of the earth -- but -- you and the earth turns 180 degrees during those 12 hours. So you're no longer where you should be when the 1st repeat occurs. Instead you have to wait yet another 12 hours for the earth to get back to the place where you were, in time to see the 2nd repeat. Now when you hear "get back, get back, get back to where you once belonged", you'll think of GPS satellites instead of the Beatles.

So the LH plots are correct. Here's another take:

1) Say it's 6 PM MDT in Denver at lat/lon +39/-104 and you see a pattern of N satellites in the sky.
2) Tomorrow morning at 6 AM MDT that same pattern will be in the sky -- not for you -- but for some guy at 6 PM lost in Inner Mongolia at lat/lon +39/+104.
3) Tomorrow evening at 6 PM MDT that same pattern will again be in the sky, this time for you in Denver.

/tvb

----- Original Message -----
From: "Skip Withrow" <skip.withrow at gmail.com>
To: "time-nuts" <time-nuts at febo.com>
Sent: Monday, May 23, 2016 3:43 PM
Subject: [time-nuts] I thought GPS repeated every 12 hours (-2 minutes)


> Hello Nuts,
>
> I am attaching a capture from Lady Heather of a 3-day run.  You can see the
> temperature vary by 7C over each day.  The TB is being run open loop and
> another GPSDO 10MHz input to the unit instead of the unit's oscillator.
>
> I expected the purple line to repeat every 12 hours based on the GPS
> constellation being the same (which maybe it kind of does), but there is
> definitely a 24 hour repeat.  What is really weird is that the number of
> satellites that LH sees also repeats on a 24 hour cycle, not 12 (bottom
> trace).
>
> Any help in understanding this behavior?  Thanks in advance.
>
> Skip Withrow
>

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