NavList:
A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
Longitude positive west?
From: Paul Hirose
Date: 2008 Jun 11, 14:00 -0700
From: Paul Hirose
Date: 2008 Jun 11, 14:00 -0700
George Huxtable wrote: > Additionally (and this is a separate matter) Andres' program appears to > treat all longitudes as Easterly, so that a Westerly longitude is shown as > negative. To me, this seems somewhat perverse, though I am aware that many > programs (particularly for astronomy) do so. We navigators work in hour > angles (GHA and LHA) for our positions of bodies in the sky, and those hour > angles are always measured Westwards, so that they always increase with > time. An hour angle is nothing else but the longitude of the body, measured > Westerly from Greenwich, 0 to 360. Why don't we measure our geographical > longitudes exactly the same way, so that we simply difference the longitudes > to get local hour angle? Meeus is an astronomer who sets us a sensible > example. It seems madness to measure hour-angles as positive Westwards, and > longitudes as positive Eastwards. Can anyone really justify it? I'll try. First off, "positive west" is odd enough nowadays that Meeus felt obliged to defend it in a sidebar. Admitting it was contrary to the IAU convention, he growled, "We shall *not* follow this IAU resolution." (Astronomical Algorithms, 1991) And if you want to do things the Meeus way, note that he measures azimuth from the south! With the "positive east" convention it's easier (for me) to remember how to compute local hour angle: "add everything". That is, LHA = GHA body + lon and LHA = GHA Aries + SHA star + lon. In addition, converting from spherical coordinates to rectangular or vice versa is easiest if the longitude angle increases eastward. The Astronomical Almanac's table of major observatories gives their east longitudes, increasing to 360. A few years ago that caused trouble when I tried to use those values in an online calculator. It didn't allow longitude greater than 180, so I had to fix the coordinates by hand. Grrr. The USNO's MICA program is also guilty of this over-zealous input validation. -- I block messages that contain attachments or HTML. --~--~---------~--~----~------------~-------~--~----~ Navigation List archive: www.fer3.com/arc To post, email NavList@fer3.com To , email NavList-@fer3.com -~----------~----~----~----~------~----~------~--~---