NavList:
A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
Re: Marq St. Hilaire - Altitude intercept method:
From: Andr�s Ruiz
Date: 2007 Oct 29, 08:49 +0100
From: Andr�s Ruiz
Date: 2007 Oct 29, 08:49 +0100
[NavList 3635] Re: Marq St. Hilaire - Altitude intercept method: An accurate position is determined by meridian transit Latitude and subsequent Longitude by Time Sight, utilizing the accurate Latitude. In your opinion, will or will not an intercept determined by the Marc St. Hillarie method, utilizing the so determined accurate position, be equal to zero, If not, why? ------------------ Henry, if you know your exact position; Yes The intercept is the great circle distance between the CoP based on calculated altitude, Hc, and the one based on the observed altitude, Ho. The calculate altitude is a function of the position. But Ho always has a little error, and the true CoP and the observed one may be different. If you use the St-Hilarie in an iterative way, the estimated position is not important, because you can improve it. Only the accuracy of the star shootings with the sextant is. And of course the knowledge of the conditions: temperature, pressure, height of the eye, The accuracy deepens only on the bodies and the measurements, not in the method. You can obtain a fix by iterative St-hilaire, by sight reduction with matrices, by T. Metcalf LS method or by Kaplan STELLA method, and the final solution in the case of two sights is the same. Also by Summer in an iterative way. If tree or more sights are involved, the solution can be different because the technique to obtain the most probable position is different. Using St-Hilaire in the old traditional graphic way to obtain the MMP, from a cooked hat, is the use of bisectors of the azimuth angle. Meridian sight has tree main problems: 1. the maximum altitude 2. the time of the LAN 3. The speed of the vessel. (aboard a sailboat 4,8 kn are insignificance) But taking a series of sight before and after the local noon, and adjusting them by a least squares method I usually get good results. About accuracy, in coastal navigation is more important that in blue water, because the shallow. One friend of mine says: "Navigating, is not important to know where you are, the important thing is to know where you are not" (Is well expressed) An example: some different AP and the effect of the improvement by iteration 25/08/2004 22:00:00 Enif GHA = 338.391817 � = 338� 23.5' Dec = 9.896533 � = 9� 53.8' Ho = 50.77 Schedar GHA = 294.303014 � = 294� 18.2' Dec = 56.560600 � = 56� 33.6' Ho = 46.44 Result by exact 2 CoP solution, NA and Kaplan algorithm: B = 43.32162 = 43� 19.3' N L = -2.00219 = 002� 0.1' W For AP: Be = 43.3166� Le = -2.0000� St-Hilaire: BI = 43.3216 LI = -2.0021 HC Z p 50.7749 141.4002 -0.0049 46.4378 47.7147 0.0022 For AP: Be = 41.5� Le = -3.5� St-Hilaire: BI = 43.3614 LI = -2.0890 HC Z p 51.4421 137.8834 -0.6721 44.3881 46.1244 2.0519 For AP: Be = 30.0000 Le = -10.0000 St-Hilaire: BI = 45.0388 LI = -5.5543 HC Z p 54.3421 117.6633 -3.5721 32.353 39.2049 14.087 After five iterations: HC Z p 50.7700 141.4011 -0.0000 46.4400 47.7183 -0.0000 43.321611 N 2.002105 W Best regards, Andr�s Ruiz Navigational Algorithms http://www.geocities.com/andresruizgonzalez --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to NavList@fer3.com To , send email to NavList-@fer3.com -~----------~----~----~----~------~----~------~--~---