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A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
Re: New compact backup CELNAV system RENAMED Accuracy of Bygrave Slide Rule
From: Brad Morris
Date: 2009 Apr 13, 09:56 -0400
From: Brad Morris
Date: 2009 Apr 13, 09:56 -0400
Hi Gary You wrote: But let me ask you this, would you enter a narrow unlit channel at night based on a celnav fix worked out on H.O.229 that you wouldn't enter if you had worked out the same celnav fix using H.O. 249 or your MHR-1? My point is that the flat Bygrave provides the level of accuracy needed for practical celnav. My response: The Flat Bygrave would clearly provide the level of accuracy for normal celestial navigation. For any method, however, you wouldn't be using celestial navigation for a narrow unlit channel, rather coastal piloting would be the choice at that point. If it is unlit, you would certainly be taking a chance of wrecking. Your comments earlier as to what level of precision is needed at each stage of the journey is quite apropos. Celestial navigation not meant for narrow channels, in the dark. There is a bit of a conundrum here. The amount of work needed to extract a value from a set of tables varies little, except if you are using Sumner Line of Position or earlier. There will be some quibbling about the arrangement of the tables being "inconvenient" in HO229 or that there is no interpolation required of HO249, but at the end of the day, you have spent just a few minutes in the tables themselves. Why not get the maximum resolution that you can? You wrote: Since you have a MHR-1 I would like it if you could make a trial flat Bygrave and test it against your German model and let me know how they compare. My response: Being a typical engineer, I took your question literally and not in the manner intended. As such, maybe we can clarify a little bit as to what you are after. I wrote that there was some pixilation error, but it was insignificant. That was the engineering answer. Are you asking for a manipulation comparison? Solve a few problems using the Cylindrical and the Flat and see how they stack up in handling? Or are we after the numerical results? There may be some cosine error in manipulation. That is, if the first scale is at an angle to the second scale, the numerical result will vary by the cosine of that angle. While no one will expect a serious result when the scales are skewed at 45 degrees, it does plainly demonstrate the cosine error. Place scale B on scale A at a 45 degree angle and see how the logarithmic addition (natural number multiplication) gives an erroneous result. But inject a more realistic angle, one that happens through imprecise alignment. The logarithmic addition does not span the correct distance and therefore contributes to a numerical answer in the result. Since the scales are manipulated three times, this error can cascade through all of the manipulations. This misalignment CANNOT occur on a cylindrical Bygrave, since the cylinders are concentric and mechanical aligned to each other. How serious is the problem? I suggest that it depends on the span of the calculation on the rule itself. As the span gets larger, the offset and error in result do as well. For short span calculations, the cosine error may be small enough to be ignored. Please clarify what you would like me to check. I won't mind it a bit! Best Regards Brad "Confidentiality and Privilege Notice The information transmitted by this electronic mail (and any attachments) is being sent by or on behalf of Tactronics; it is intended for the exclusive use of the addressee named above and may constitute information that is privileged or confidential or otherwise legally exempt from disclosure. If you are not the addressee or an employee or agent responsible for delivering this message to same, you are not authorized to retain, read, copy or disseminate this electronic mail (or any attachments) or any part thereof. If you have received this electronic mail (and any attachments) in error, please call us immediately and send written confirmation that same has been deleted from your system. Thank you." --~--~---------~--~----~------------~-------~--~----~ Navigation List archive: www.fer3.com/arc To post, email NavList@fer3.com To , email NavList-@fer3.com -~----------~----~----~----~------~----~------~--~---