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https://github.com/k3ng/k3ng_rotator_controller.git
synced 2024-12-22 06:27:50 +00:00
331 lines
11 KiB
C++
Executable File
331 lines
11 KiB
C++
Executable File
#include <Arduino.h>
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#include <math.h>
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#include <string.h>
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#include <ctype.h>
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// Translated from the WSJT Fortran code by Pete VE5VA
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/////////////////////////////////////////////////////////
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///////////// G R I D 2 D E G /////////////
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/////////////////////////////////////////////////////////
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// Choose which version of the grid conversion to use.
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// Defining WSJT uses the one from WSJT
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// Removing the define of WSJT uses the code based on
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// the PERL script at wikipedia which seems to be
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// slightly more accurate.
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//#define WSJT
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#ifdef WSJT
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// grid = DO62QC <-> lat = 52.104167 lon = -106.658332
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// grid = JO62MM <-> lat = 52.520832 lon = 13.008334
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// The WSJT code returns West as positive but moon2 uses
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// West is negative
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// CHANGE this so that it returns West longitude as NEGATIVE
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void grid2deg(char *grid0,double *dlong,double *dlat)
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{
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char grid[8];
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int nlong,n20d;
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int nlat;
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double xminlong,xminlat;
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// Initialize the grid with a default string
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strncpy(grid,"AA00MM",6);
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// copy in the grid
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strncpy(grid,grid0,6);
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// Convert the grid to upper case
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for(int i = 0;i < 6;i++)grid[i] = toupper(grid[i]);
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// Fix any errors
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if(!isalpha(grid[0]))grid[0] = 'A';
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if(!isalpha(grid[1]))grid[1] = 'A';
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if(!isdigit(grid[2]))grid[2] = '0';
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if(!isdigit(grid[3]))grid[3] = '0';
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if(!isalpha(grid[4]))grid[4] = 'M';
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if(!isalpha(grid[5]))grid[5] = 'M';
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nlong = 180 - 20*(grid[0] - 'A');
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n20d = 2*(grid[2] - '0');
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xminlong = 5*(grid[4]-'A')+ 0.5;
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// Make west longitude negative
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*dlong = -(nlong - n20d -xminlong/60.);
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nlat = -90 + 10*(grid[1] - 'A') + grid[3] - '0';
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xminlat = 2.5*(grid[5] - 'A' + 0.5);
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*dlat = nlat + xminlat/60.;
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}
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#else
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// grid = DO62QC <-> lat = 52.104164 lon = -106.625000
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// grid = JO62MM <-> lat = 52.520832 lon = 13.041667
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// From: http://en.wikipedia.org/wiki/Maidenhead_Locator_System
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void grid2deg(char *grid0,double *dlong,double *dlat)
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{
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char grid[8];
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// Initialize the grid with a default string
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strncpy(grid,"AA00MM",6);
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// copy in the grid
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strncpy(grid,grid0,6);
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// Convert the grid to upper case
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for(int i = 0;i < 6;i++)grid[i] = toupper(grid[i]);
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// Fix any errors
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if(!isalpha(grid[0]))grid[0] = 'A';
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if(!isalpha(grid[1]))grid[1] = 'A';
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if(!isdigit(grid[2]))grid[2] = '0';
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if(!isdigit(grid[3]))grid[3] = '0';
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if(!isalpha(grid[4]))grid[4] = 'M';
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if(!isalpha(grid[5]))grid[5] = 'M';
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*dlong = 20*(grid[0] - 'A') - 180;
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*dlat = 10*(grid[1] - 'A') - 90;
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*dlong += (grid[2] - '0') * 2;
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*dlat += (grid[3] - '0');
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// subsquares
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*dlong += (grid[4] - 'A') * 5/60.;
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*dlat += (grid[5] - 'A') * 2.5/60.;
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*dlong += 2.5/60.;
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*dlat += 1.25/60;
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}
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#endif
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/////////////////////////////////////////////////////////
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////////////// D C O O R D ///////////////
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/////////////////////////////////////////////////////////
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// In WSJT this is used in various places to do coordinate
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// system conversions but moon2 only uses it once.
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void DCOORD(double xA0,double xB0,double AP,double BP,
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double xA1,double xB1,double *xA2,double *B2)
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{
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double TA2O2;
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double SB0,CB0,SBP,CBP,SB1,CB1,SB2,CB2;
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double SAA,CAA,SBB,CBB,CA2,SA2;
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SB0 = sin(xB0);
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CB0 = cos(xB0);
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SBP = sin(BP);
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CBP = cos(BP);
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SB1 = sin(xB1);
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CB1 = cos(xB1);
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SB2 = SBP*SB1 + CBP*CB1*cos(AP-xA1);
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CB2 = sqrt(1.-(SB2*SB2));
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*B2 = atan(SB2/CB2);
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SAA = sin(AP-xA1)*CB1/CB2;
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CAA = (SB1-SB2*SBP)/(CB2*CBP);
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CBB = SB0/CBP;
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SBB = sin(AP-xA0)*CB0;
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SA2 = SAA*CBB-CAA*SBB;
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CA2 = CAA*CBB+SAA*SBB;
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TA2O2 = 0.0;
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if(CA2 <= 0.) TA2O2 = (1.-CA2)/SA2;
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if(CA2 > 0.) TA2O2 = SA2/(1.+CA2);
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*xA2=2.*atan(TA2O2);
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if(*xA2 < 0.) *xA2 = *xA2+6.2831853071795864;
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}
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/////////////////////////////////////////////////////////
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//////////////// M O O N 2 ////////////////
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/////////////////////////////////////////////////////////
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// You can derive the lat/long from the grid square using
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// the grid2deg function to translate from grid to lat/long
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// Example call to this function for 2014/01/04 1709Z:
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// moon2(2014,1,4,17+9/60.,-106.625,52.104168,
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// &RA, &Dec, &topRA, &topDec, &LST, &HA, &Az, &El, &dist);
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// I have not used or checked any of the outputs other than Az and El
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void moon2(int y,int m,int Day,
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double UT,
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double lon,double lat,
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double *RA,double *Dec,
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double *topRA,double *topDec,
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double *LST,double *HA,
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double *Az,double *El,double *dist)
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{
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// The strange position of some of the semicolons is because some
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// of this was translated using a TCL script that I wrote - it isn't
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// too smart but it saved some typing
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double NN ;//Longitude of ascending node
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double i ;//Inclination to the ecliptic
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double w ;//Argument of perigee
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double a ;//Semi-major axis
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double e ;//Eccentricity
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double MM ;//Mean anomaly
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double v ;//True anomaly
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double EE ;//Eccentric anomaly
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double ecl ;//Obliquity of the ecliptic
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double d ;//Ephemeris time argument in days
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double r ;//Distance to sun, AU
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double xv,yv ;//x and y coords in ecliptic
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double lonecl,latecl ;//Ecliptic long and lat of moon
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double xg,yg,zg ;//Ecliptic rectangular coords
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double Ms ;//Mean anomaly of sun
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double ws ;//Argument of perihelion of sun
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double Ls ;//Mean longitude of sun (Ns=0)
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double Lm ;//Mean longitude of moon
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double DD ;//Mean elongation of moon
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double FF ;//Argument of latitude for moon
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double xe,ye,ze ;//Equatorial geocentric coords of moon
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double mpar ;//Parallax of moon (r_E / d)
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// double lat,lon ;//Station coordinates on earth
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double gclat ;//Geocentric latitude
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double rho ;//Earth radius factor
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double GMST0; //,LST,HA;
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double g;
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// double topRA,topDec ;//Topocentric coordinates of Moon
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// double Az,El;
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// double dist;
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double rad = 57.2957795131,twopi = 6.283185307,pi,pio2;
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// data rad/57.2957795131d0/,twopi/6.283185307d0/
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//Note the use of 'L' to force 32-bit integer arithmetic here.
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d=367L*y - 7L*(y+(m+9L)/12L)/4L + 275L*m/9L + Day - 730530L + UT/24.;
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ecl = 23.4393 - 3.563e-7 * d;
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//Serial.print("d = ");
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//Serial.println(d,3);
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// Orbital elements for Moon:
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NN = 125.1228 - 0.0529538083 * d;
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i = 5.1454;
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w = fmod(318.0634 + 0.1643573223 * d + 360000.,360.);
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a = 60.2666;
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e = 0.054900;
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MM = fmod(115.3654 + 13.0649929509 * d + 360000.,360.);
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// Orbital elements for Sun:
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/*
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NN = 0.0;
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i = 0.0;
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w = fmod(282.9404 + 4.70935e-5 * d + 360000.,360.);
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a = 1.000000;
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e = 0.016709 - 1.151e-9 * d;
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MM = fmod(356.0470 + 0.99856002585 * d + 360000.,360.);
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*/
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/*
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Serial.print("\nmoon2: w=");
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Serial.print(w,3);
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Serial.print(" e=");
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Serial.print(e,3);
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Serial.print(" MM=");
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Serial.println(MM,3);
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*/
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EE = MM + e*rad*sin(MM/rad) * (1. + e*cos(MM/rad));
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EE = EE - (EE - e*rad*sin(EE/rad)-MM) / (1. - e*cos(EE/rad));
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EE = EE - (EE - e*rad*sin(EE/rad)-MM) / (1. - e*cos(EE/rad));
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xv = a * (cos(EE/rad) - e);
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yv = a * (sqrt(1.-e*e) * sin(EE/rad));
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v = fmod(rad*atan2(yv,xv)+720.,360.);
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r = sqrt(xv*xv + yv*yv);
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// Get geocentric position in ecliptic rectangular coordinates:
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xg = r * (cos(NN/rad)*cos((v+w)/rad) - sin(NN/rad)*sin((v+w)/rad)*cos(i/rad));
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yg = r * (sin(NN/rad)*cos((v+w)/rad) + cos(NN/rad)*sin((v+w)/rad)*cos(i/rad));
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zg = r * (sin((v+w)/rad)*sin(i/rad));
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// Ecliptic longitude and latitude of moon:
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lonecl = fmod(rad*atan2(yg/rad,xg/rad)+720.,360.);
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latecl = rad * atan2(zg/rad,sqrt(xg*xg + yg*yg)/rad);
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// Now include orbital perturbations:
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Ms = fmod(356.0470 + 0.9856002585 * d + 3600000.,360.);
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ws = 282.9404 + 4.70935e-5*d;
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Ls = fmod(Ms + ws + 720.,360.);
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Lm = fmod(MM + w + NN+720.,360.);
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DD = fmod(Lm - Ls + 360.,360.);
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FF = fmod(Lm - NN + 360.,360.);
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lonecl = lonecl
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-1.274 * sin((MM-2.*DD)/rad)
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+0.658 * sin(2.*DD/rad)
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-0.186 * sin(Ms/rad)
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-0.059 * sin((2.*MM-2.*DD)/rad)
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-0.057 * sin((MM-2.*DD+Ms)/rad)
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+0.053 * sin((MM+2.*DD)/rad)
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+0.046 * sin((2.*DD-Ms)/rad)
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+0.041 * sin((MM-Ms)/rad)
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-0.035 * sin(DD/rad)
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-0.031 * sin((MM+Ms)/rad)
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-0.015 * sin((2.*FF-2.*DD)/rad)
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+0.011 * sin((MM-4.*DD)/rad);
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latecl = latecl
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-0.173 * sin((FF-2.*DD)/rad)
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-0.055 * sin((MM-FF-2.*DD)/rad)
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-0.046 * sin((MM+FF-2.*DD)/rad)
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+0.033 * sin((FF+2.*DD)/rad)
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+0.017 * sin((2.*MM+FF)/rad);
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r = 60.36298
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- 3.27746*cos(MM/rad)
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- 0.57994*cos((MM-2.*DD)/rad)
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- 0.46357*cos(2.*DD/rad)
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- 0.08904*cos(2.*MM/rad)
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+ 0.03865*cos((2.*MM-2.*DD)/rad)
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- 0.03237*cos((2.*DD-Ms)/rad)
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- 0.02688*cos((MM+2.*DD)/rad)
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- 0.02358*cos((MM-2.*DD+Ms)/rad)
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- 0.02030*cos((MM-Ms)/rad)
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+ 0.01719*cos(DD/rad)
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+ 0.01671*cos((MM+Ms)/rad);
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*dist = r * 6378.140;
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// Geocentric coordinates:
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// Rectangular ecliptic coordinates of the moon:
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xg = r * cos(lonecl/rad)*cos(latecl/rad);
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yg = r * sin(lonecl/rad)*cos(latecl/rad);
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zg = r * sin(latecl/rad);
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// Rectangular equatorial coordinates of the moon:
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xe = xg;
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ye = yg * cos(ecl/rad) - zg*sin(ecl/rad);
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ze = yg * sin(ecl/rad) + zg*cos(ecl/rad);
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// Right Ascension, Declination:
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*RA = fmod(rad*atan2(ye,xe)+360.,360.);
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*Dec = rad * atan2(ze,sqrt(xe*xe + ye*ye));
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// Now convert to topocentric system:
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mpar=rad * asin(1./r);
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// alt_topoc = alt_geoc - mpar*cos(alt_geoc);
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gclat = lat - 0.1924 * sin(2.*lat/rad);
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rho = 0.99883 + 0.00167 * cos(2.*lat/rad);
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GMST0 = (Ls + 180.)/15.;
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*LST = fmod(GMST0+UT+lon/15.+48.,24.) ;//LST in hours
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*HA = 15. * *LST - *RA ;//HA in degrees
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g = rad*atan(tan(gclat/rad)/cos(*HA/rad));
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*topRA = *RA - mpar*rho*cos(gclat/rad)*sin(*HA/rad)/cos(*Dec/rad);
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*topDec = *Dec - mpar*rho*sin(gclat/rad)*sin((g-*Dec)/rad)/sin(g/rad);
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*HA = 15. * *LST - *topRA ;//HA in degrees
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if(*HA > 180.) *HA=*HA-360.;
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if(*HA < -180.) *HA=*HA+360.;
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pi = 0.5 * twopi;
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pio2 = 0.5 * pi;
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DCOORD(pi,pio2-lat/rad,0.,lat/rad,*HA*twopi/360,*topDec/rad,Az,El);
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*Az = *Az * rad;
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*El = *El * rad;
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return;
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}
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