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authortoma <toma@283d02a7-25f6-0310-bc7c-ecb5cbfe19da>2009-11-25 17:56:58 +0000
committertoma <toma@283d02a7-25f6-0310-bc7c-ecb5cbfe19da>2009-11-25 17:56:58 +0000
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+/* This file is part of the kmoon application with explicit permission by the author
+ Copyright (C) 1996 Christopher Osburn
+
+ This library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public
+ License as published by the Free Software Foundation; either
+ version 2 of the License, or (at your option) any later version.
+
+ This library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public License
+ along with this library; see the file COPYING.LIB. If not, write to
+ the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
+ Boston, MA 02110-1301, USA.
+*/
+/*
+** jd.c:
+** 1996/02/11
+**
+** Copyright 1996, Christopher Osburn, Lunar Outreach Services,
+** Non-commercial usage license granted to all.
+**
+** convert a Julian Day number to a struct tm
+**
+** Parameter:
+** double jd: Julian day number with fraction of day
+**
+** Returns:
+** struct tm *event_date: Date-time group holding year, month, day, hour,
+** and minute of the event
+*/
+
+#include <time.h>
+#include <stdlib.h>
+
+time_t JDtoDate(double jd, struct tm *event_date)
+/* convert a Julian Date to a date-time group */
+{
+ long a, a1, z, b, c, d, e;
+ double f, day;
+ struct tm dummy;
+ if ( !event_date )
+ event_date = &dummy;
+
+ jd += 0.5;
+ z = (long) jd;
+ f = jd - z;
+
+ if (z < 2299161)
+ {
+ a = z;
+ }
+ else
+ {
+ a1 = (long) ((z - 1867216.25) / 36524.25);
+ a = z + 1 + a1 - (long)(a1 / 4);
+ }
+
+ b = a + 1524;
+ c = (long)((b - 122.1) / 365.25);
+ d = (long)(365.25 * c);
+ e = (long)((b - d)/30.6001);
+
+ day = b - d - (long)(30.6001 * e) + f;
+
+ if (e < 14)
+ {
+ event_date->tm_mon = (e - 1) - 1;
+ }
+ else
+ {
+ event_date->tm_mon = (e - 13) - 1;
+ }
+
+ if (event_date->tm_mon > (2 - 1))
+ {
+ event_date->tm_year = c - 4716 - 1900;
+ }
+ else
+ {
+ event_date->tm_year = c - 4715 - 1900;
+ }
+ event_date->tm_mday = (int)day;
+ day -= event_date->tm_mday;
+ day *= 24;
+ event_date->tm_hour = (int)day;
+ day -= event_date->tm_hour;
+ day *= 60;
+ event_date->tm_min = (int)day;
+ day -= event_date->tm_min;
+ day *= 60;
+ event_date->tm_sec = (int)day;
+
+ event_date->tm_isdst = -1;
+
+ return mktime(event_date);
+}
+
+double DatetoJD(struct tm *event_date)
+/* convert a date-time group to a JD with fraction */
+{
+ int y, m;
+ double d;
+ int a, b;
+ double jd;
+
+ y = event_date->tm_year + 1900;
+ m = event_date->tm_mon + 1;
+ d = (double)(event_date->tm_mday) + (event_date->tm_hour / 24.0)
+ + (event_date->tm_min / 1440.0) + (event_date->tm_sec / 86400.0);
+
+ if (m == 1 || m == 2)
+ {
+ y--;
+ m += 12;
+ }
+
+ a = (int)(y / 100);
+ b = 2 - a + (int)(a / 4);
+
+ if (y < 1583)
+ if ((y < 1582) || (m < 10) || ((m == 10) && (d <= 15)))
+ b = 0;
+
+ jd = (long)(365.25 * (y + 4716)) + (long)(30.6001 * (m+1))
+ + d + b - 1524.5;
+
+ return jd;
+}
+
+/*
+** misc.h
+** 1996/02/11
+**
+** Copyright 1996, Christopher Osburn, Lunar Outreach Services,
+** Non-commercial usage license granted to all.
+**
+** Miscellaneous routines for moon phase programs
+**
+*/
+
+#include <math.h>
+
+double torad(double x)
+/* convert x to radians */
+{
+ x = fmod(x, 360.0); /* normalize the angle */
+ return ((x) * 0.01745329251994329576);
+ /* and return the result */
+}
+
+/*
+** moonphase.c
+** 1996/02/11
+**
+** Copyright 1996, Christopher Osburn, Lunar Outreach Services,
+** Non-commercial usage license granted to all.
+**
+** calculate phase of the moon per Meeus Ch. 47
+**
+** Parameters:
+** int lun: phase parameter. This is the number of lunations
+** since the New Moon of 2000 January 6.
+**
+** int phi: another phase parameter, selecting the phase of the
+** moon. 0 = New, 1 = First Qtr, 2 = Full, 3 = Last Qtr
+**
+** Return: Apparent JD of the needed phase
+*/
+
+#include <stdio.h>
+#include <math.h>
+
+double moonphase(double k, int phi)
+{
+ int i; /* iterator to be named later. Every
+ program needs an i */
+ double T; /* time parameter, Julian Centuries since
+ J2000 */
+ double JDE; /* Julian Ephemeris Day of phase event */
+ double E; /* Eccentricity anomaly */
+ double M; /* Sun's mean anomaly */
+ double M1; /* Moon's mean anomaly */
+ double F; /* Moon's argument of latitude */
+ double O; /* Moon's longitude of ascenfing node */
+ double A[15]; /* planetary arguments */
+ double W; /* added correction for quarter phases */
+
+ T = k / 1236.85; /* (47.3) */
+
+ /* this is the first approximation. all else is for style points! */
+ JDE = 2451550.09765 + (29.530588853 * k) /* (47.1) */
+ + T * T * (0.0001337 + T * (-0.000000150 + 0.00000000073 * T));
+
+ /* these are correction parameters used below */
+ E = 1.0 /* (45.6) */
+ + T * (-0.002516 + -0.0000074 * T);
+ M = 2.5534 + 29.10535669 * k /* (47.4) */
+ + T * T * (-0.0000218 + -0.00000011 * T);
+ M1 = 201.5643 + 385.81693528 * k /* (47.5) */
+ + T * T * (0.0107438 + T * (0.00001239 + -0.000000058 * T));
+ F = 160.7108 + 390.67050274 * k /* (47.6) */
+ + T * T * (-0.0016341 * T * (-0.00000227 + 0.000000011 * T));
+ O = 124.7746 - 1.56375580 * k /* (47.7) */
+ + T * T * (0.0020691 + 0.00000215 * T);
+
+ /* planetary arguments */
+ A[0] = 0; /* unused! */
+ A[1] = 299.77 + 0.107408 * k - 0.009173 * T * T;
+ A[2] = 251.88 + 0.016321 * k;
+ A[3] = 251.83 + 26.651886 * k;
+ A[4] = 349.42 + 36.412478 * k;
+ A[5] = 84.66 + 18.206239 * k;
+ A[6] = 141.74 + 53.303771 * k;
+ A[7] = 207.14 + 2.453732 * k;
+ A[8] = 154.84 + 7.306860 * k;
+ A[9] = 34.52 + 27.261239 * k;
+ A[10] = 207.19 + 0.121824 * k;
+ A[11] = 291.34 + 1.844379 * k;
+ A[12] = 161.72 + 24.198154 * k;
+ A[13] = 239.56 + 25.513099 * k;
+ A[14] = 331.55 + 3.592518 * k;
+
+ /* all of the above crap must be made into radians!!! */
+ /* except for E... */
+
+ M = torad(M);
+ M1 = torad(M1);
+ F = torad(F);
+ O = torad(O);
+
+ /* all those planetary arguments, too! */
+ for (i=1; i<=14; i++)
+ A[i] = torad(A[i]);
+
+ /* ok, we have all the parameters, let's apply them to the JDE.
+ (remember the JDE? this is a program about the JDE...) */
+
+ switch(phi)
+ {
+ /* a special case for each different phase. NOTE!,
+ I'm not treating these in a 0123 order!!! Pay
+ attention, there, you! */
+
+ case 0: /* New Moon */
+ JDE = JDE
+ - 0.40720 * sin (M1)
+ + 0.17241 * E * sin (M)
+ + 0.01608 * sin (2.0 * M1)
+ + 0.01039 * sin (2.0 * F)
+ + 0.00739 * E * sin (M1 - M)
+ - 0.00514 * E * sin (M1 + M)
+ + 0.00208 * E * E * sin (2.0 * M)
+ - 0.00111 * sin (M1 - 2.0 * F)
+ - 0.00057 * sin (M1 + 2.0 * F)
+ + 0.00056 * E * sin (2.0 * M1 + M)
+ - 0.00042 * sin (3.0 * M1)
+ + 0.00042 * E * sin (M + 2.0 * F)
+ + 0.00038 * E * sin (M - 2.0 * F)
+ - 0.00024 * E * sin (2.0 * M1 - M)
+ - 0.00017 * sin (O)
+ - 0.00007 * sin (M1 + 2.0 * M)
+ + 0.00004 * sin (2.0 * M1 - 2.0 * F)
+ + 0.00004 * sin (3.0 * M)
+ + 0.00003 * sin (M1 + M - 2.0 * F)
+ + 0.00003 * sin (2.0 * M1 + 2.0 * F)
+ - 0.00003 * sin (M1 + M + 2.0 * F)
+ + 0.00003 * sin (M1 - M + 2.0 * F)
+ - 0.00002 * sin (M1 - M - 2.0 * F)
+ - 0.00002 * sin (3.0 * M1 + M)
+ + 0.00002 * sin (4.0 * M1);
+
+ break;
+
+ case 2: /* Full Moon */
+ JDE = JDE
+ - 0.40614 * sin (M1)
+ + 0.17302 * E * sin (M)
+ + 0.01614 * sin (2.0 * M1)
+ + 0.01043 * sin (2.0 * F)
+ + 0.00734 * E * sin (M1 - M)
+ - 0.00515 * E * sin (M1 + M)
+ + 0.00209 * E * E * sin (2.0 * M)
+ - 0.00111 * sin (M1 - 2.0 * F)
+ - 0.00057 * sin (M1 + 2.0 * F)
+ + 0.00056 * E * sin (2.0 * M1 + M)
+ - 0.00042 * sin (3.0 * M1)
+ + 0.00042 * E * sin (M + 2.0 * F)
+ + 0.00038 * E * sin (M - 2.0 * F)
+ - 0.00024 * E * sin (2.0 * M1 - M)
+ - 0.00017 * sin (O)
+ - 0.00007 * sin (M1 + 2.0 * M)
+ + 0.00004 * sin (2.0 * M1 - 2.0 * F)
+ + 0.00004 * sin (3.0 * M)
+ + 0.00003 * sin (M1 + M - 2.0 * F)
+ + 0.00003 * sin (2.0 * M1 + 2.0 * F)
+ - 0.00003 * sin (M1 + M + 2.0 * F)
+ + 0.00003 * sin (M1 - M + 2.0 * F)
+ - 0.00002 * sin (M1 - M - 2.0 * F)
+ - 0.00002 * sin (3.0 * M1 + M)
+ + 0.00002 * sin (4.0 * M1);
+
+ break;
+
+ case 1: /* First Quarter */
+ case 3: /* Last Quarter */
+ JDE = JDE
+ - 0.62801 * sin (M1)
+ + 0.17172 * E * sin (M)
+ - 0.01183 * E * sin (M1 + M)
+ + 0.00862 * sin (2.0 * M1)
+ + 0.00804 * sin (2.0 * F)
+ + 0.00454 * E * sin (M1 - M)
+ + 0.00204 * E * E * sin (2.0 * M)
+ - 0.00180 * sin (M1 - 2.0 * F)
+ - 0.00070 * sin (M1 + 2.0 * F)
+ - 0.00040 * sin (3.0 * M1)
+ - 0.00034 * E * sin (2.0 * M1 - M)
+ + 0.00032 * E * sin (M + 2.0 * F)
+ + 0.00032 * E * sin (M - 2.0 * F)
+ - 0.00028 * E * E * sin (M1 + 2.0 * M)
+ + 0.00027 * E * sin (2.0 * M1 + M)
+ - 0.00017 * sin (O)
+ - 0.00005 * sin (M1 - M - 2.0 * F)
+ + 0.00004 * sin (2.0 * M1 + 2.0 * F)
+ - 0.00004 * sin (M1 + M + 2.0 * F)
+ + 0.00004 * sin (M1 - 2.0 * M)
+ + 0.00003 * sin (M1 + M - 2.0 * F)
+ + 0.00003 * sin (3.0 * M)
+ + 0.00002 * sin (2.0 * M1 - 2.0 * F)
+ + 0.00002 * sin (M1 - M + 2.0 * F)
+ - 0.00002 * sin (3.0 * M1 + M);
+
+ W = 0.00306
+ - 0.00038 * E * cos(M)
+ + 0.00026 * cos(M1)
+ - 0.00002 * cos(M1 - M)
+ + 0.00002 * cos(M1 + M)
+ + 0.00002 * cos(2.0 * F);
+ if (phi == 3)
+ W = -W;
+ JDE += W;
+
+ break;
+
+ default: /* oops! */
+ fprintf(stderr, "The Moon has exploded!\n");
+ exit(1);
+ break; /* unexecuted code */
+ }
+ /* now there are some final correction to everything */
+ JDE = JDE
+ + 0.000325 * sin(A[1])
+ + 0.000165 * sin(A[2])
+ + 0.000164 * sin(A[3])
+ + 0.000126 * sin(A[4])
+ + 0.000110 * sin(A[5])
+ + 0.000062 * sin(A[6])
+ + 0.000060 * sin(A[7])
+ + 0.000056 * sin(A[8])
+ + 0.000047 * sin(A[9])
+ + 0.000042 * sin(A[10])
+ + 0.000040 * sin(A[11])
+ + 0.000037 * sin(A[12])
+ + 0.000035 * sin(A[13])
+ + 0.000023 * sin(A[14]);
+
+ return JDE;
+}
+
+#define LUNATION_OFFSET 953
+
+double moonphasebylunation(int lun, int phi)
+{
+ double k;
+
+ k = lun - LUNATION_OFFSET + phi / 4.0;
+ return moonphase(k, phi);
+}
+