Spherical Astronomy Problems And Solutions -
Always note the quadrant. If sin(A) derived from another formula is positive and cos(A) is positive, A lies in 0–90° (NE). Use the four-quadrant arctan2 function if possible.
) to find the altitude. If the result is negative, the star is below the horizon. 3. Calculating Rising and Setting Times
[ \cos(A) = \frac\sin(\delta)\cos(\phi) ] (When h = 0, the spherical cosine law simplifies.)
At the moment of rising or setting, the Altitude ( 0∘0 raised to the composed with power (ignoring atmospheric refraction). Setting in our previous formula gives:
Always note the quadrant. If sin(A) derived from another formula is positive and cos(A) is positive, A lies in 0–90° (NE). Use the four-quadrant arctan2 function if possible.
) to find the altitude. If the result is negative, the star is below the horizon. 3. Calculating Rising and Setting Times
[ \cos(A) = \frac\sin(\delta)\cos(\phi) ] (When h = 0, the spherical cosine law simplifies.)
At the moment of rising or setting, the Altitude ( 0∘0 raised to the composed with power (ignoring atmospheric refraction). Setting in our previous formula gives:
