Re: A question for the mathematically inclined

2015-01-31 Thread Roger Bailey
Hello John, I routinely use Napier's Analogue as suggested by Fred Sawyer when I asked this question several years ago. This involves an intermediate step involving an angle B. Here are the formulae. Napier's Analogues: Knowing Latitude, Declination and Azimuth, Solve for Altitude and TimeF

Re: A question for the mathematically inclined

2015-01-31 Thread Richard B. Langley
The USNO Webpage http://aa.usno.navy.mil/data/docs/AltAz.php will also compute elevation angle (altitude) and azimuth of the sun for a given date and location at specified intervals. On Saturday, January 31, 2015, 31, at 12:31 PM, Bill Gottesman wrote: > You can download a free excel spreadsheet

Re: A question for the mathematically inclined

2015-01-31 Thread Bill Gottesman
You can download a free excel spreadsheet, sunpositioncalculator at http://precisionsundials.com/sunpositioncalculator.xls. The Azimuth page allows you to input date, latitude, longitude, and azimuth, and it gives you the civil time, eot, declination, and altitude. When opening, you must allow ma

Re: A question for the mathematically inclined

2015-01-31 Thread Richard B. Langley
If you know the zenith distance, z, of the sun (90° - elevation angle) as well as the azimuth (A) then you could use: sin(h) = -sin(z)*sin(A)/cos(delta) where delta is the sun's declination. The latitude of the site, phi, is not needed. Computing the hour angle when the zenith distance is not

A question for the mathematically inclined

2015-01-31 Thread John Goodman
Dear dialists, Does anyone know a formula for calculating the hour angle given the azimuth, declination, and latitude? I’d like to know the time of day, throughout the year, when the sun will be positioned at a particular angle. This will allow me to determine when sunshine will stream square