NavList:
A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
Re: The Bygrave Slide Rule
From: Brad Morris
Date: 2009 May 28, 17:20 -0700
From: Brad Morris
Date: 2009 May 28, 17:20 -0700
Gentlemen On my MHR-1, the outer scale increases from left to right, from 0 deg to 89 deg 40 min and then REVERSES direction and increases from right to left from 90 deg 20 min to 180 deg. On my MHR-1, the inner scale increases from left to right, from 0 deg 20 min to 89 deg 40 min and then REVERSES direction and increases from right to left from 90 deg 20 min to 179 deg 40 min. This permits large LHA or T angles. In fact, the Cylindrical Bygrave can compute to lower meridian crossings! At high latitudes, a celestial object can move with the earths rotation and still be visible throughout the 24 hour period. The Cylindrical Bygrave can compute that circuit. I am not sure if the Flat Bygrave has continued the high angle labeling, although there is no inherent limitation as it can always be added. Sample Declination S 75 deg 32 min t 145 deg 16 min Lat S 67 deg 33 min Colat 22 deg 27 min X 101 deg 58 min Y 124 deg 25 min because same name, we added! Az 165 deg 44 min h 54 deg 44 min This may have impact on the formulation of the scales discussion. For the outer scale: Log(abs(cos)) is symmetric about 90 degrees, as is the secant, log(abs(1/cos)). For the inner scale, log(abs(tan)) is symmetric about 90 degrees, as is the cotangent, log(abs(1/tan)). If the absolute value is not obtained, then the symmetry is lost, as many of the trig values become negative. Best Regards Brad --~--~---------~--~----~------------~-------~--~----~ Navigation List archive: www.fer3.com/arc To post, email NavList@fer3.com To , email NavList-@fer3.com -~----------~----~----~----~------~----~------~--~---