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Re: Intercept method
From: Doug Royer
Date: 2003 Jun 23, 13:01 -0700
From: Doug Royer
Date: 2003 Jun 23, 13:01 -0700
Bill,actually in real life I would not looking for this great degree in accuracy.I understand what you say about the hand held sextant.I did this experiment only because it looked interesting.I expected the results obtained by the intercept method to be a closer match to the results obtained by other methods.I know that on 06-21 thru 06-22 my chrono was 1-2 sec. slow and the mer. pas. solutions closely matched the actual error where the intercept method was not close.I can say I will most likely not use Lunars to check errors or time as other methods are as or are more accurate and easier to do.At the least I am familiar with the procedures in case I ever need them.Thanks for your input. -----Original Message----- From: Noyce, Bill [mailto:william.noyce@HP.COM] Sent: Monday, June 23, 2003 11:47 To: NAVIGATION-L@LISTSERV.WEBKAHUNA.COM Subject: Re: Intercept method Doug, I haven't tried to follow your numbers, but my initial reaction is that *no* lunar method with a handheld sextant can be expected to give the kind of precision you seem to be looking for. Remember that it takes roughly two minutes of time for the moon to move one minute of arc against the fixed stars (at best -- sometimes it moves quite a bit more slowly). This means that to achieve a precision in time of 6 seconds (0.1 minutes of time) you must make your observations to a precision better than 0.05 minutes of arc (3 arc-seconds). For the intercept method, I believe you must achieve this precision or better for all the altitudes that feed in to the problem. Lunars can check your chronometer to within a minute, or perhaps a bit better. If you can consistently get results within 10 seconds, especially using the intercept method, I'll be surprised. -- Bill -----Original Message----- From: Royer, Doug [mailto:doug.royer@REMEC.COM] Sent: Monday, June 23, 2003 2:27 PM To: NAVIGATION-L@LISTSERV.WEBKAHUNA.COM Subject: Intercept method I tried again over the weekend to work the Lunar intercept method as explained by Mr. Umland.For the 2nd time in as many attempts the results are questionable.Are they questionable because of mechanical errors of the sights,errors in reduction methods or errors in the interpretion of the math from chapter 7 of Mr. Umland's papers? I don't believe it to be errors in the mechanics of the observations.Great care was taken to assure accurate observations and equipment.I don't believe it to be errors in reduction methods as 3 differant reduction systems were used to check the results.The sin-cos method useing a Casio fx-6300 calculater has the Moon's intercept at 0.5 m A,Mr. Umland's Moon sight software has the intercept at 0.3 m A,the Admiralty's reduction software has the intercept at 0.4 m A. I believe I am not useing the intercept formula properly or it is flawed.I got a chrono error of 5.9 sec. slow useing the intercept method.Knowing my chrono was not that slow I set up and checked the chrono's error useing equal altitudes.The chrono error thus obtained was very close to the actual known chrono error. Mr. Umland's Moon and Sun reduction software is nice to use and has features I've not seen on other software such as getting the intercepts directly from the readings from a bubble sextant or artificial horizon.Times are Zd + 7. GPS pos. = 32*53.05'N,114*49.90'W 06-22-03 030311 3 star fix AP = 32*53.2'N,114*49.7'W 06-22-03 031439 Moon UL Hs=23*13.4',Ho=23*46.8',Hc=23*47.3',I=0.5 m A,Zn=106.3*,GHA=53*24.6',LHA=298*34.9',dec=0*10.1'N,v=8.18',d=10.46'. f=-0.7348,delta T"=-5.93 sec. Chrono error is 5.9 sec. slow. Equal altitudes chrono error Antares Hs=58*34.2' at 221444 on 06-21 and 000303 on 06-22. 240303 + 221444/2 = calculated Antares mer. pas. at 230854.Mer. pas. Antares at 114*49.90'W = 230853.Chrono is 1 sec. slow. Sun LL at Hs=109*51.0' at 100700 and 151536 on 06-22. 100700 + 151536/2 = calculated Sun mer. pas. at 124118.Mer. pas. Sun at 114*49.9'W = 124117.Chrono is again 1 sec. slow. What am I not seeing or doing correctly with the Mr. Umland's Lunar intercept method?