/[PAMELA software]/DarthVader/OrbitalInfo/src/OrientationInfo.cpp
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revision 1.2 by pam-mep, Tue Nov 15 09:31:28 2011 UTC revision 1.5 by malakhov, Wed Sep 10 06:34:12 2014 UTC
# Line 3  Line 3 
3  #include <TObject.h>  #include <TObject.h>
4  #include <TString.h>  #include <TString.h>
5  #include <TMatrixD.h>  #include <TMatrixD.h>
6    #include <TVector3.h>
7    
8  #include <OrientationInfo.h>  #include <OrientationInfo.h>
9    
# Line 35  TMatrixD OrientationInfo::QuatoECI(Float Line 36  TMatrixD OrientationInfo::QuatoECI(Float
36    
37  TMatrixD OrientationInfo::ECItoGreenwich(TMatrixD Aij, UInt_t t){  TMatrixD OrientationInfo::ECItoGreenwich(TMatrixD Aij, UInt_t t){
38      TMatrixD Gij(3,3);      TMatrixD Gij(3,3);
39        UInt_t t1=t-t%86400;
40        UInt_t t2=t1+86400;
41      Double_t omg = (7.292115e-5)*a;                     // Earth rotation velosity (Around polar axis);      Double_t omg = (7.292115e-5)*a;                     // Earth rotation velosity (Around polar axis);
42      Double_t d = (t-10957*86400-43200);                      //Number of day, passing from 01/01/2000 12:00:00 to t;      Double_t d = (t1-10957*86400-43200);                     //Number of day, passing from 01/01/2000 12:00:00 to t;
43      d = d/86400;      d = d/86400;
44      Double_t T = d/36525;                                    //Number of Julian centuries;      Double_t T = d/36525;                                    //Number of Julian centuries;
45            Double_t Se = 6*3600+41*60+236.555367908*d+0.093104*T*T-(6.2e-6)*T*T*T;  //18 <-> 6
46      Double_t Se = 6*3600+41*60+236.555367908*d+0.093104*pow(T,2)-(6.2e-6)*pow(T,3);      Double_t tr = (t1-10957*86400)%86400;
47        Double_t Somg1 = (Se+49.077+omg*86400*tr/360.)*360/86400.;
     Int_t tr = (t-10957*86400)%86400;  
   
     Double_t Somg = (Se+49.077+omg*86400*tr/360)*360/86400;  
48    
49      //Somg = 25; //for test transition      d = (t2-10957*86400-43200);                      //Number of day, passing from 01/01/2000 12:00:00 to t;
50        d = d/86400;
51        T = d/36525;                                     //Number of Julian centuries;
52        Se = 6*3600+41*60+236.555367908*d+0.093104*T*T-(6.2e-6)*T*T*T;  //18 <-> 6
53        tr = (t2-10957*86400)%86400;
54        Double_t Somg2 = (Se+49.077+omg*86400*tr/360.)*360/86400.;
55        Somg2+=360.0;
56    
57        Double_t kk=(Somg2-Somg1)/(t2-t1);
58        Double_t bb= Somg1-kk*t1;
59        Double_t Somg=kk*t+bb;
60    
61      Gij(0,0) = cos(Somg/a);      Gij(0,0) = cos(Somg/a);
62      Gij(0,1) = -sin(Somg/a);      Gij(0,1) = -sin(Somg/a);
# Line 91  TMatrixD OrientationInfo::GreenwichtoGEO Line 101  TMatrixD OrientationInfo::GreenwichtoGEO
101      return Fij*(Gij*Aij);      return Fij*(Gij*Aij);
102  }  }
103    
104    TMatrixD OrientationInfo::EulertoEci(Double_t x0, Double_t y0, Double_t z0, Double_t Vx0, Double_t Vy0, Double_t Vz0, Double_t Bank, Double_t Yaw, Double_t SPitch){
105    //cerr.precision(12);
106    //cerr<<"Position:\t"<<x0<<"\t"<<y0<<"\t"<<z0<<"\tVelocity:\t"<<Vx0<<"\t"<<Vy0<<"\t"<<Vz0<<endl;
107        //Sangur to Resurs transition
108        TMatrixD Zij(3,3);
109        Zij(0,0) = 0.0; Zij(0,1) = 0.0; Zij(0,2) = -1.0;
110        Zij(1,0) = -1.0; Zij(1,1) = 0.0; Zij(1,2) = 0.0;
111        Zij(2,0) = 0.0; Zij(2,1) = 1.0; Zij(2,2) = 0.0;
112    
113        //Spacecraft velosity referenca frame in Eci
114        TMatrixD Aij(3,3);
115        Double_t C1 = y0*Vz0 - z0*Vy0;
116        Double_t C2 = z0*Vx0 - x0*Vz0;
117        Double_t C3 = x0*Vy0 - y0*Vx0;
118        Double_t C  = sqrt(C1*C1 + C2*C2 + C3*C3);
119        Double_t V0 = sqrt(Vx0*Vx0+Vy0*Vy0 + Vz0*Vz0);
120        Aij(0,0) = Vx0/V0;  Aij(0,1) = C1/C;        Aij(0,2) = (Vy0*C3-Vz0*C2)/(V0*C);
121        Aij(1,0) = Vy0/V0;  Aij(1,1) = C2/C;        Aij(1,2) = (Vz0*C1-Vx0*C3)/(V0*C);
122        Aij(2,0) = Vz0/V0;  Aij(2,1) = C3/C;        Aij(2,2) = (Vx0*C2-Vy0*C1)/(V0*C);
123    
124        //Elements of matrix elements described orientation of spacecraft on velocity reference frame
125         Double_t u10 = tan(Bank*TMath::DegToRad())/sqrt(tan(Bank*TMath::DegToRad())*tan(Bank*TMath::DegToRad())+1);
126         Double_t u11 = -sqrt((1-u10*u10))/(1+tan(Yaw*TMath::DegToRad())*tan(Yaw*TMath::DegToRad()));
127         Double_t u12 = u11*tan(Yaw*TMath::DegToRad());
128         Double_t u20 = -sqrt((1-u10*u10)/(1+tan(SPitch*TMath::DegToRad())*tan(SPitch*TMath::DegToRad())));
129         Double_t u00 = -u20*tan(SPitch*TMath::DegToRad());
130    
131         Double_t ab = 1+(u20*u20/(u00*u00));
132         Double_t by = 2*u10*u11*u20/(u00*u00);
133         Double_t cy = (1+u10*u10/(u00*u00))*u11*u11-1;
134         Double_t bz = 2*u10*u12*u20/(u00*u00);
135         Double_t cz = (1+u10*u10/(u00*u00))*u12*u12-1;
136    
137        Int_t uj = TMath::Sign(1.,Yaw)*TMath::Sign(1.,SPitch);
138         //long double by_l = by;
139         Double_t Ds = by*by-4*ab*cy;
140         if(Ds<0) Ds = 0.;
141         Double_t u21 = (-by+uj*sqrt(Ds))/(2*ab);
142         Double_t u21s = -TMath::Sign(1.,Bank)*TMath::Abs(u21);
143         Double_t u01 = TMath::Sign(1.,Yaw)*TMath::Abs((u10*u11+u20*u21)/u00);
144    
145        Int_t fj=1;
146        if(TMath::Sign(1.,SPitch)>0 && TMath::Sign(1.,Yaw)>0) fj=-1;
147    
148         Double_t u22 = (-bz+fj*sqrt(bz*bz-4*ab*cz))/(2*ab);
149         Double_t u22s = -TMath::Sign(1.,SPitch)*TMath::Abs(u22);
150         Double_t u02 = -TMath::Abs((u10*u12+u20*u22)/u00);
151    
152        TMatrixD Dij(3,3);
153        Dij(0,0) = u00;  Dij(0,1) = u01;  Dij(0,2) = u02;
154        Dij(1,0) = u10;  Dij(1,1) = u11;  Dij(1,2) = u12;
155        Dij(2,0) = u20;  Dij(2,1) = u21s;  Dij(2,2) = u22s;
156    
157        TMatrixD Shij(3,3);
158        TMatrixD Usij(3,3);
159        Usij = (Aij*Dij);
160        Usij.Invert();
161        Shij = Zij*Usij;
162        Shij.Invert();
163    
164        return Shij;
165    }
166    
167    TMatrixD OrientationInfo::ECItoGEO(TMatrixD Aij, UInt_t t, Double_t lat, Double_t lon){
168        TMatrixD Gij(3,3);
169        UInt_t t1=t-t%86400;
170        UInt_t t2=t1+86400;
171        Double_t omg = (7.292115e-5)*a;                     // Earth rotation velosity (Around polar axis);
172        Double_t d = (t1-10957*86400-43200);                     //Number of day, passing from 01/01/2000 12:00:00 to t;
173        d = d/86400;
174        Double_t T = d/36525;                                    //Number of Julian centuries;
175        Double_t Se = 6*3600+41*60+236.555367908*d+0.093104*T*T-(6.2e-6)*T*T*T;  //18 <-> 6
176        Double_t tr = (t1-10957*86400)%86400;
177        Double_t Somg1 = (Se+49.077+omg*86400*tr/360.)*360/86400.;
178    
179        d = (t2-10957*86400-43200);                      //Number of day, passing from 01/01/2000 12:00:00 to t;
180        d = d/86400;
181        T = d/36525;                                     //Number of Julian centuries;
182        Se = 6*3600+41*60+236.555367908*d+0.093104*T*T-(6.2e-6)*T*T*T;  //18 <-> 6
183        tr = (t2-10957*86400)%86400;
184        Double_t Somg2 = (Se+49.077+omg*86400*tr/360.)*360/86400.;
185        Somg2+=360.0;
186    
187        Double_t kk=(Somg2-Somg1)/(t2-t1);
188        Double_t bb= Somg1-kk*t1;
189        Double_t Somg=kk*t+bb;
190    
191        lon=(-lon)/a; lat=(-lat)/a;
192    
193        Gij(0,0)=cos(lat)*cos(lon)*cos(Somg/a)+cos(lat)*sin(lon)*sin(Somg/a);
194        Gij(0,1)=cos(lat)*cos(lon)*sin(Somg/a)-cos(lat)*sin(lon)*cos(Somg/a);
195        Gij(0,2)=-sin(lat);
196        Gij(1,0)=sin(lon)*cos(Somg/a)-cos(lon)*sin(Somg/a);
197        Gij(1,1)=sin(lon)*sin(Somg/a)+cos(lon)*cos(Somg/a);
198        Gij(1,2)=0;
199        Gij(2,0)=sin(lat)*cos(lon)*cos(Somg/a)+sin(lat)*sin(lon)*sin(Somg/a);
200        Gij(2,1)=sin(lat)*cos(lon)*sin(Somg/a)-sin(lat)*sin(lon)*cos(Somg/a);
201        Gij(2,2)=cos(lat);
202    
203        TMatrixD Tij=Gij*Aij;
204    
205        return Tij;
206    }
207    
208    TMatrixD OrientationInfo::GEOtoECI(TMatrixD Aij, UInt_t t, Double_t lat, Double_t lon){
209       TMatrixD Gij(3,3);
210        UInt_t t1=t-t%86400;
211        UInt_t t2=t1+86400;
212        Double_t omg = (7.292115e-5)*a;                     // Earth rotation velosity (Around polar axis);
213        Double_t d = (t1-10957*86400-43200);                     //Number of day, passing from 01/01/2000 12:00:00 to t;
214        d = d/86400;
215        Double_t T = d/36525;                                    //Number of Julian centuries;
216        Double_t Se = 6*3600+41*60+236.555367908*d+0.093104*T*T-(6.2e-6)*T*T*T;  //18 <-> 6
217        Double_t tr = (t1-10957*86400)%86400;
218        Double_t Somg1 = (Se+49.077+omg*86400*tr/360.)*360/86400.;
219    
220        d = (t2-10957*86400-43200);                      //Number of day, passing from 01/01/2000 12:00:00 to t;
221        d = d/86400;
222        T = d/36525;                                     //Number of Julian centuries;
223        Se = 6*3600+41*60+236.555367908*d+0.093104*T*T-(6.2e-6)*T*T*T;  //18 <-> 6
224        tr = (t2-10957*86400)%86400;
225        Double_t Somg2 = (Se+49.077+omg*86400*tr/360.)*360/86400.;
226        Somg2+=360.0;
227    
228        Double_t kk=(Somg2-Somg1)/(t2-t1);
229        Double_t bb= Somg1-kk*t1;
230        Double_t Somg=kk*t+bb;
231    
232       lon=(-lon)/a; lat=(-lat)/a;
233    
234       Gij(0,0)=cos(lat)*cos(lon)*cos(Somg/a)+cos(lat)*sin(lon)*sin(Somg/a);
235       Gij(1,0)=cos(lat)*cos(lon)*sin(Somg/a)-cos(lat)*sin(lon)*cos(Somg/a);
236       Gij(2,0)=-sin(lat);
237       Gij(0,1)=sin(lon)*cos(Somg/a)-cos(lon)*sin(Somg/a);
238       Gij(1,1)=sin(lon)*sin(Somg/a)+cos(lon)*cos(Somg/a);
239       Gij(2,1)=0;
240       Gij(0,2)=sin(lat)*cos(lon)*cos(Somg/a)+sin(lat)*sin(lon)*sin(Somg/a);
241       Gij(1,2)=sin(lat)*cos(lon)*sin(Somg/a)-sin(lat)*sin(lon)*cos(Somg/a);
242       Gij(2,2)=cos(lat);
243    
244       return Gij*Aij;
245    }
246    
247    
248  TMatrixD OrientationInfo::GEOtoGeomag(TMatrixD Aij,Double_t Bnorth, Double_t Beast, Double_t Bup){      //Geomagnetic geodetic reference frame  TMatrixD OrientationInfo::GEOtoGeomag(TMatrixD Aij,Double_t Bnorth, Double_t Beast, Double_t Bup){      //Geomagnetic geodetic reference frame
249          Double_t alpha = 0;          Double_t alpha = 0;
250          if(Beast==0. && Bnorth>0) alpha = 0; else          if(Beast==0. && Bnorth>0) alpha = 0; else
# Line 149  TMatrixD OrientationInfo::ColPermutation Line 303  TMatrixD OrientationInfo::ColPermutation
303      return Aij*Gij;      return Aij*Gij;
304  }  }
305    
306    TVector3 OrientationInfo::GetSunPosition(UInt_t atime){
307      TVector3 sunout;
308      Float_t JD=atime/86400.+2440587.5;
309    //SAV
310    //  cout << "JD = " << JD <<endl;
311    //SAV
312     //test June 1997 JD=2451545.0-877.047;
313      Float_t Tm = (JD - 2451545.0)/36525.;
314      Float_t Mo = (357.52910+35999.05030*Tm-0.0001559*Tm*Tm-0.00000048*Tm*Tm*Tm);
315    //SAV
316    //  cout<<"Tm = " << Tm << "Mo = " << Mo <<endl;
317    //SAV
318      Mo=Mo*TMath::DegToRad();
319    
320      Float_t Co = ((1.914600 - 0.004817*Tm - 0.00014*Tm*Tm)*sin(Mo) + (0.019993 - 0.000101*Tm)* sin(2.*Mo) + 0.000290* sin(3.*Mo));
321      Co=Co* TMath::DegToRad();
322      
323      Float_t Lo = (280.46645 + 36000.76983*Tm +0.0003032*Tm*Tm);
324      Lo=Lo*TMath::DegToRad();
325      
326      Float_t theta = (Lo + Co); // * TMath::DegToRad();
327      
328      Float_t eps = (23.+26./60.+21.448/3600. - 46.8150/3600.*Tm - 0.00059/3600.*Tm*Tm + 0.001813*Tm*Tm*Tm)*TMath::DegToRad();
329    
330    //SAV
331    //  cout << "Co = " << Co*TMath::RadToDeg() << "\tLo = " << Lo*TMath::RadToDeg() << "\ttheta = " << theta << "\teps = " << eps << endl;
332    //SAV
333    
334      Float_t YY=cos(eps)*sin(theta);
335      Float_t XX=cos(theta);
336    //SAV
337    //  cout << "XX = " << XX << "\tYY" << YY << endl;
338    //SAV
339      Float_t RASun=atan(YY/XX);
340      if(XX<0. ) RASun=RASun+TMath::Pi();
341      if(XX >0. && YY <0.) RASun=RASun+2*TMath::Pi();
342      Float_t DESun = asin(sin(eps)*sin(theta));
343    //SAV
344    //  cout << "DE = " << DESun << "\t" << RASun << endl;
345    //SAV
346      sunout.SetMagThetaPhi(1.0,TMath::Pi()/2.-DESun,RASun);
347      return sunout;
348    }
349    
350  Float_t OrientationInfo::Larmor(Float_t Ek,Float_t Bm,Int_t iZ,Float_t xA){  //Ek in MeV, Bm in nT, Pitch-angle, rad  Float_t OrientationInfo::Larmor(Float_t Ek,Float_t Bm,Int_t iZ,Float_t xA){  //Ek in MeV, Bm in nT, Pitch-angle, rad
351      Float_t mp = 938.272029;    Float_t amu = 931.494043e0;    Float_t mp = 938.272029;//    Float_t amu = 931.494043e0;
352      Float_t cc = 299792458.;      Float_t cc = 299792458.;
353      Float_t ee = 1.60217653e-19;      Float_t ee = 1.60217653e-19;
354      Float_t kg = 1.7826619e-30;      Float_t kg = 1.7826619e-30;
# Line 158  Float_t OrientationInfo::Larmor(Float_t Line 356  Float_t OrientationInfo::Larmor(Float_t
356      Float_t mm = mp*kg;      Float_t mm = mp*kg;
357      Float_t omega = iZ*ee*Bm*1e-9/(gam*mm);      Float_t omega = iZ*ee*Bm*1e-9/(gam*mm);
358      Float_t larmor = 1e-3*sqrt(1e0-1e0/pow(gam,2))*cc/omega;      Float_t larmor = 1e-3*sqrt(1e0-1e0/pow(gam,2))*cc/omega;
359      larmor = 1e-3*Ek*cc/omega; //Ek here is p or for onecharged particle R;      larmor = 1e-3*Ek*cc/omega; //Ek here is p or for onecharged particle R; larmor in m
360      return larmor;      return larmor;
361  }  }
362    
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