
Algebra PreAlgebra and Basic Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
September 30th, 2018, 10:03 AM  #1 
Newbie Joined: Sep 2018 From: Portland Posts: 2 Thanks: 0  stance Error Caused by GPS Receiver Error
Not sure how to categorize this, and I feel like this should be pretty simple but I'm a little confused. GPS uses satellites to find the position of a receiver. Now the satellite clocks all have synchronized atomic time; however, the receiver clock is fast by 0.05 microseconds. How much error in distance measurement between satellite and receiver is induced by receiver clock that's fast by 0.05 microseconds? No measurements are given besides the 0.05 microseconds. So, assuming I can make an arbitrary distance (13,000 meters) per time (let's say a minute) for the equation, wouldn't it be: 13,000 m/min= 216.67 m/s 216.67 m/s X 1 sec/1,000,000 microseconds X 0.05 microseconds=1.083 X 10^5 m so it the distance error would be 1.083 X 10^5 m for the receiver clock error of 0.05 microseconds Thanks for the help! 
September 30th, 2018, 01:04 PM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 2,122 Thanks: 1102 
this is a tremendously complicated problem. Essentially the 0.05 microsecond error causes estimated distances to the satellites to be short by 0.5 usec x the speed of light. How that error then enters into the triangulation calculations is going to be utterly dependent on the individual satellite positions at the time. I don't believe there is any simple answer. 
September 30th, 2018, 01:17 PM  #3 
Newbie Joined: Sep 2018 From: Portland Posts: 2 Thanks: 0 
Ha, that's good then. I think that helped. As far as I've learned from this class, we've been taught that the satellites creates a sphere of possibilitiesthere's no directional information being presentedthat narrow down the field considerably per satellite. Far as I know this is just for one satellite instead of the four, so wouldn't the distance error be 0.05 microseconds X speed of light? Actual location doesn't matter for me here (yet), just the distance error. Thanks for the input 

Tags 
caused, error, gps, receiver, stance 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Error with Probability Law  Relmiw  Advanced Statistics  12  June 14th, 2013 04:07 PM 
Error in Estimating Pi  wiscomath  Real Analysis  1  January 20th, 2013 12:56 PM 
possible error/relative error  jkh1919  Calculus  5  August 4th, 2012 06:30 PM 
Relative error Percenttage error  esther  Calculus  1  October 25th, 2011 03:57 AM 
Type 2 error  fc_groningen  Advanced Statistics  1  June 25th, 2011 07:54 AM 