--- ray/src/gen/sun.c 2013/08/09 16:51:15 2.6 +++ ray/src/gen/sun.c 2019/11/07 23:15:07 2.7 @@ -1,11 +1,17 @@ #ifndef lint -static const char RCSid[] = "$Id: sun.c,v 2.6 2013/08/09 16:51:15 greg Exp $"; +static const char RCSid[] = "$Id: sun.c,v 2.7 2019/11/07 23:15:07 greg Exp $"; #endif /* * SOLAR CALCULATIONS * * 3/31/87 * + * Michalsky algorithm added October 2019: + * "The Astronomical Almanac's Algorithm for Approximate + * Solar Position (1950-2050)" by Joseph J. Michalsky, + * published in 1988 in Solar Energy, Vol. 40, No. 3. + * Also added correction to sdec() (365 was 368 originally) + * */ #include @@ -14,14 +20,17 @@ static const char RCSid[] = "$Id: sun.c,v 2.6 2013/08/ #ifdef M_PI #define PI M_PI #else -#define PI 3.141592653589793 +#define PI 3.14159265358979323846 #endif +#undef DEG +#define DEG (PI/180.) -double s_latitude = 0.66; /* site latitude (radians) */ -double s_longitude = 2.13; /* site longitude (radians) */ -double s_meridian = 2.0944; /* standard meridian (radians) */ +double s_latitude = 0.66; /* site latitude (radians north of equator) */ +double s_longitude = 2.13; /* site longitude (radians west of Greenwich) */ +double s_meridian = 120.*DEG; /* standard meridian (radians west) */ + int jdate( /* Julian date (days into year) */ int month, @@ -39,9 +48,9 @@ stadj( /* solar time adjustment from Julian date */ int jd ) { - return( 0.170 * sin( (4*PI/373) * (jd - 80) ) - - 0.129 * sin( (2*PI/355) * (jd - 8) ) + - 12 * (s_meridian - s_longitude) / PI ); + return( 0.170 * sin( (4.*PI/373.) * (jd - 80) ) - + 0.129 * sin( (2.*PI/355.) * (jd - 8) ) + + (12./PI) * (s_meridian - s_longitude) ); } @@ -50,7 +59,7 @@ sdec( /* solar declination angle from Julian date */ int jd ) { - return( 0.4093 * sin( (2*PI/368) * (jd - 81) ) ); + return( 0.4093 * sin( (2.*PI/365.) * (jd - 81) ) ); } @@ -61,7 +70,7 @@ salt( /* solar altitude from solar declination and sol ) { return( asin( sin(s_latitude) * sin(sd) - - cos(s_latitude) * cos(sd) * cos(st*(PI/12)) ) ); + cos(s_latitude) * cos(sd) * cos(st*(PI/12.)) ) ); } @@ -71,7 +80,54 @@ sazi( /* solar azimuth from solar declination and sola double st ) { - return( -atan2( cos(sd)*sin(st*(PI/12)), + return( -atan2( cos(sd)*sin(st*(PI/12.)), -cos(s_latitude)*sin(sd) - - sin(s_latitude)*cos(sd)*cos(st*(PI/12)) ) ); + sin(s_latitude)*cos(sd)*cos(st*(PI/12.)) ) ); +} + + +/****************** More accurate Michalsky algorithm ****************/ + + +/* circle normalization */ +static double +norm_cir(double r, const double p) +{ + while (r < 0) r += p; + while (r >= p) r -= p; + return(r); +} + + +/* Almanac Julian date relative to noon UT on Jan 1, 2000 (fractional days) */ +double +mjdate(int year, int month, int day, double hour) +{ + int jd = jdate(month, day); + jd += (month > 2) & !(year&3); + jd += (year - 1949)*365 + (year - 1949)/4; + hour += s_meridian*(12./PI); + return(jd + hour*(1./24.) + (2432916.5-2451545.)); +} + + +/* Solar declination (and solar time) from Almanac Julian date (fractional) */ +double +msdec(double mjd, double *stp) +{ /* Ecliptic coordinates (radians) */ + double L = norm_cir(280.460*DEG + 0.9856474*DEG*mjd, 2.*PI); + double g = norm_cir(357.528*DEG + 0.9856003*DEG*mjd, 2.*PI); + double l = L + 1.915*DEG*sin(g) + 0.020*DEG*sin(2.*g); + double ep = 23.439*DEG - 4e-7*DEG*mjd; + double sin_l = sin(l); + + if (stp) { /* solar time requested, also? */ + double ra = atan2(sin_l*cos(ep), cos(l)); + double utime = 24.*(mjd - floor(mjd)) + 12.; + double gmst = 6.697375 + 0.0657098242*mjd + utime; + double lmst = gmst - s_longitude*(12./PI); + + *stp = norm_cir(lmst - ra*(12./PI) + 12., 24.); + } + return(asin(sin(ep)*sin_l)); /* return solar declination angle */ }