Computations for the horizon profile can be done readily with free software, e.g. Microdem or 3DEM and digital elevation models (DEMs). See the overview by Ferranti and Wikipedia.
Microdem impresses by its strong analytical capabilities. Google Earth can produce profiles, but the curvature of the earth is treated somewhat obscurely or not at all.
Refraction cannot be computed with the same kind of precision, a formula can be found in an Intelsat document (PDF) as pointed out to me by Xavier Jubier some months ago.
Earlier horizon hugging eclipses occured 2010 in El Calafate and 2003 in Antarctica.
Now a case study for the annular eclipse of May 20, 2012 for a site just east off the mapped path end at sunset near Garden City, TX. N31d 50.4333m W101d 21.7m
Xavier's tool V1.06 for Google Earth produces results as shown in the screenshot below. Refraction values are displayed by placing the cursor in the elevation fields.
According to Microdem the horizon at Azimuth 294 is at an elevation of 0.4 deg for the selected site. The "ridge" is only about 6 km away. A location closer to Garden City would have a lower horizon.
|Google Earth with Elevation profile along AZ=294 deg|
|Microdem LOS towards sunset at AZ=294 deg|
|Microdem Perspective view for site near Garden City, TX|
|Jubier's calculator for site near Garden City, TX |
The Photopgrapher's Ephemeris (TPE) is a nifty tool for planning photos of the setting or rising of the Moon or Sun. Available as free desktop program or apps for Apple and Android.
|partial solar eclipse 2011 Jan 04|