This page calculates the altitude and azimuth of the Sun or Moon at multiple times during any day between 1700 and 2100. Simply specify the object, date, tabular interval, and place below and click on the "Compute Table" button. The altitude and azimuth values are tabulated as a function of the time of the place requested on a 24-hour clock.
Form A - U.S. Cities or Towns
Form B - Locations Worldwide
Notes on the Data:
Altitude is the angle up from the horizon. Zero degrees altitude means exactly on your local horizon, and 90 degrees is "straight up". Hence, "directly underfoot" is -90 degrees altitude. Azimuth is the angle along the horizon, with zero degrees corresponding to North, and increasing in a clockwise fashion. Thus, 90 degrees is East, 180 degrees is South, and 270 degrees is West. Using these two angles, one can describe the apparent position of an object (such as the Sun at a given time).
The altitude and azimuth values are for the center of the apparent disk of the Sun or Moon. The altitude values include the effect of standard atmospheric refraction when the object is above the horizon. The azimuth values are computed with respect to true north (not magnetic). For instructions on using a true azimuth (bearing) with a compass, see NOAA's Geomagnetism FAQs. To determine the magnetic declination for a specific location and date, see NOAA's Geophysical Data Center - Magnetic Declination calculator.
A break in the output table indicates the object has dropped more than 12 degrees below the horizon and is not near the horizon again until the next indicated time.
How to Import the Table into a Spreadsheet
Open your favorite text editor, then copy the numerical part of the table (i.e., do not copy the table headings) from your browser and paste it into the text editor. Save the data as a text file.
In Excel for Windows, select Data on the menu bar, then From Text. Select your saved text file. Choose fixed width in the dialog box.
Legal Use of the Calculated Data
Please see Astronomical Data Used for Litigation if you are interested in using the data produced by this service for legal purposes.
For U.S. locations (Form A), phenomena times are presented in the standard time or daylight time (see below) of the place requested, using the current time zone of that place. Standardized time zones were introduced in the U.S. in 1883, but the time zone boundaries have evolved considerably since then, with places shifting from one zone to another. This service makes no attempt to track such changes.
In accordance with the Uniform Time Act of 1966 and subsequent legislation, daylight time (DST) is implemented only for U.S. locations (Form A) from 1967 to the present day. Daylight time is not used for places currently exempt from it.