1 | #include <stdio.h>
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2 | #include <math.h>
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3 |
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4 | #include "astro.h"
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5 |
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6 | /* given the true geocentric ra and dec of an object, the observer's latitude,
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7 | * lt, and a horizon displacement correction, dis, all in radians, find the
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8 | * local sidereal times and azimuths of rising and setting, lstr/s
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9 | * and azr/s, also all in radians, respectively.
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10 | * dis is the vertical displacement from the true position of the horizon. it
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11 | * is positive if the apparent position is higher than the true position.
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12 | * said another way, it is positive if the shift causes the object to spend
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13 | * longer above the horizon. for example, atmospheric refraction is typically
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14 | * assumed to produce a vertical shift of 34 arc minutes at the horizon; dis
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15 | * would then take on the value +9.89e-3 (radians). On the other hand, if
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16 | * your horizon has hills such that your apparent horizon is, say, 1 degree
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17 | * above sea level, you would allow for this by setting dis to -1.75e-2
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18 | * (radians).
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19 | *
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20 | * This version contributed by Konrad Bernloehr, Nov. 1996
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21 | *
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22 | * status: 0=normal; 1=never rises; -1=circumpolar.
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23 | * In case of non-zero status, all other returned variables are undefined.
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24 | */
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25 | void
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26 | riset (double ra, double dec, double lt, double dis, double *lstr,
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27 | double *lsts, double *azr, double *azs, int *status)
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28 | {
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29 | #define EPS (1e-9) /* math rounding fudge - always the way, eh? */
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30 | double h; /* hour angle */
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31 | double cos_h; /* cos h */
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32 | double z; /* zenith angle */
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33 | double zmin, zmax; /* Minimum and maximum zenith angles */
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34 | double xaz, yaz; /* components of az */
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35 | int shemi; /* flag for southern hemisphere reflection */
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36 |
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37 | /* reflect lt and dec if in southern hemisphere, then az back later */
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38 | if ((shemi= (lt < 0.)) != 0) {
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39 | lt = -lt;
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40 | dec = -dec;
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41 | }
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42 |
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43 | /* establish zenith angle, and its extrema */
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44 | z = (PI/2.) + dis;
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45 | zmin = fabs (dec - lt);
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46 | zmax = PI - fabs(dec + lt);
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47 |
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48 | /* first consider special cases.
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49 | * these also avoid any boundary problems in subsequent computations.
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50 | */
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51 | if (zmax <= z + EPS) {
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52 | *status = -1; /* never sets */
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53 | return;
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54 | }
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55 | if (zmin >= z - EPS) {
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56 | *status = 1; /* never rises */
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57 | return;
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58 | }
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59 |
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60 | /* compute rising hour angle -- beware found off */
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61 | cos_h = (cos(z)-sin(lt)*sin(dec))/(cos(lt)*cos(dec));
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62 | if (cos_h >= 1.)
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63 | h = 0.;
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64 | else if (cos_h <= -1.)
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65 | h = PI;
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66 | else
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67 | h = acos (cos_h);
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68 |
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69 | /* compute setting azimuth -- beware found off */
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70 | xaz = sin(dec)*cos(lt)-cos(dec)*cos(h)*sin(lt);
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71 | yaz = -1.*cos(dec)*sin(h);
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72 | if (xaz == 0.) {
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73 | if (yaz > 0)
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74 | *azs = PI/2;
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75 | else
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76 | *azs = -PI/2;
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77 | } else
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78 | *azs = atan2 (yaz, xaz);
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79 |
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80 | /* reflect az back if southern */
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81 | if (shemi)
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82 | *azs = PI - *azs;
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83 | range(azs, 2.*PI);
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84 |
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85 | /* rising is just the opposite side */
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86 | *azr = 2.*PI - *azs;
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87 | range(azr, 2.*PI);
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88 |
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89 | /* rise and set are just ha either side of ra */
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90 | *lstr = radhr(ra-h);
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91 | range(lstr,24.0);
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92 | *lsts = radhr(ra+h);
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93 | range(lsts,24.0);
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94 |
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95 | /* OK */
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96 | *status = 0;
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97 | }
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98 |
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99 | /* For RCS Only -- Do Not Edit */
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100 | static char *rcsid[2] = {(char *)rcsid, "@(#) $RCSfile: riset.c,v $ $Date: 2005-08-21 10:02:39 $ $Revision: 1.5 $ $Name: not supported by cvs2svn $"};
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