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#include <iostream> |
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#include <stdio.h> |
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#include <TObject.h> |
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#include <TString.h> |
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#include <TMatrixD.h> |
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|
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#include <OrientationInfo.h> |
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ClassImp(OrientationInfo) |
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using namespace std; |
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OrientationInfo::OrientationInfo() : TObject(){ |
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a = 360/(2*TMath::Pi()); |
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Re = 6000000; |
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} |
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|
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OrientationInfo::~OrientationInfo(){ |
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} |
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|
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TMatrixD OrientationInfo::QuatoECI(Float_t q0, Float_t q1, Float_t q2, Float_t q3){ |
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TMatrixD Pij(3,3); |
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Pij(0,0) = pow(q0,2)+pow(q1,2)-pow(q2,2)-pow(q3,2); |
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Pij(0,1) = /*2*(q1*q2+q0*q3);/*/ 2*(q1*q2-q0*q3); |
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Pij(0,2) = /*2*(q1*q3-q0*q2);/*/ 2*(q1*q3+q0*q2); |
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Pij(1,0) = /*2*(q1*q2-q0*q3);/*/ 2*(q1*q2+q0*q3); |
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Pij(1,1) = pow(q0,2)-pow(q1,2)+pow(q2,2)-pow(q3,2); |
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Pij(1,2) = /*2*(q2*q3+q0*q1);/*/ 2*(q2*q3-q0*q1); |
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Pij(2,0) = /*2*(q1*q3+q0*q2);/*/ 2*(q1*q3-q0*q2); |
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Pij(2,1) = /*2*(q2*q3-q0*q1);/*/ 2*(q2*q3+q0*q1); |
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Pij(2,2) = pow(q0,2)-pow(q1,2)-pow(q2,2)+pow(q3,2); |
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return Pij; |
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} |
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|
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TMatrixD OrientationInfo::ECItoGreenwich(TMatrixD Aij, UInt_t t){ |
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TMatrixD Gij(3,3); |
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Double_t omg = (7.292115e-5)*a; // Earth rotation velosity (Around polar axis); |
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Double_t d = (t-10957*86400-43200); //Number of day, passing from 01/01/2000 12:00:00 to t; |
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d = d/86400; |
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Double_t T = d/36525; //Number of Julian centuries; |
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|
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Double_t Se = 6*3600+41*60+236.555367908*d+0.093104*pow(T,2)-(6.2e-6)*pow(T,3); |
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|
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Int_t tr = (t-10957*86400)%86400; |
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|
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Double_t Somg = (Se+49.077+omg*86400*tr/360)*360/86400; |
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|
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//Somg = 25; //for test transition |
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|
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Gij(0,0) = cos(Somg/a); |
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Gij(0,1) = -sin(Somg/a); |
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Gij(0,2) = 0; |
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Gij(1,0) = sin(Somg/a); |
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Gij(1,1) = cos(Somg/a); |
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Gij(1,2) = 0; |
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Gij(2,0) = 0; |
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Gij(2,1) = 0; |
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Gij(2,2) = 1; |
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Gij.Invert(); |
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return Gij*Aij; |
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} |
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TMatrixD OrientationInfo::GreenwichtoGEO(Double_t lat, Double_t lon, TMatrixD Aij){ |
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|
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TMatrixD Gij(3,3); |
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TMatrixD Fij(3,3); |
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|
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lon=(-lon)/a; lat=(-lat)/a; // here has the same result as Gij.Invert() in ECItoGreenwich function |
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|
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Gij(0,0) = cos(lon); // rotation around z-axis: |
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Gij(0,1) = -sin(lon); |
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Gij(0,2) = 0; // | cos(lon) -sin(lon) 0| |
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Gij(1,0) = sin(lon); // | sin(lon) cos(lon) 0| |
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Gij(1,1) = cos(lon); // | 0 0 1| |
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Gij(1,2) = 0; |
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Gij(2,0) = 0; |
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Gij(2,1) = 0; |
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Gij(2,2) = 1; |
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|
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Fij(0,0) = cos(lat); // rotation around y-axis at angle -lat, cause rotation around y from x to z axis is negative |
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Fij(0,1) = 0; // |
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Fij(0,2) = -sin(lat); // |cos(-lat) 0 sin(-lat)| |cos(lat) 0 -sin(lat)| |
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Fij(1,0) = 0; // | 0 1 0 | ==> | 0 1 0 | |
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Fij(1,1) = 1; // |-sin(-lat) 0 cos(-lat)| |sin(lat) 0 cos(lat) | |
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Fij(1,2) = 0; |
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Fij(2,0) = sin(lat); |
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Fij(2,1) = 0; |
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Fij(2,2) = cos(lat); |
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|
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return Fij*(Gij*Aij); |
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} |
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|
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TMatrixD OrientationInfo::GEOtoGeomag(TMatrixD Aij,Double_t Bnorth, Double_t Beast, Double_t Bup){ //Geomagnetic geodetic reference frame |
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Double_t alpha = 0; |
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if(Beast==0. && Bnorth>0) alpha = 0; else |
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if(Beast==0. && Bnorth<0) alpha = 180.; else{ |
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if(Beast > 0) alpha = TMath::ATan(Bnorth/Beast)*TMath::RadToDeg() - 90.; |
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if(Beast < 0) alpha = TMath::ATan(Bnorth/Beast)*TMath::RadToDeg() + 90.; |
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} |
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alpha = alpha*TMath::DegToRad(); |
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Double_t beta = TMath::ATan(Bup/sqrt(pow(Bnorth,2)+pow(Beast,2))); |
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//if(Bup<0.0) beta = TMath::ATan(TMath::Abs(Bup/sqrt(pow(Bnorth,2)+pow(Beast,2)))); |
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//if(Bup>0.0) beta = TMath::ATan(TMath::Abs(sqrt(pow(Bnorth,2)+pow(Beast,2))/Bup)); |
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//cout<<"GEOtomag:alpha = "<<alpha*TMath::RadToDeg()<<"\tbeta = "<<beta*TMath::RadToDeg()<<endl; |
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TMatrixD Gij(3,3); |
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TMatrixD Fij(3,3); |
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Gij(0,0) = 1; //rotation around x-axis at angle alpha |
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Gij(0,1) = 0; |
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Gij(0,2) = 0; // |1 0 0 | |
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Gij(1,0) = 0; // |0 cos(alpha) -sin(alpha) | |
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Gij(1,1) = cos(alpha); // |0 sin(alpha) cos(alpha) | |
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Gij(1,2) = -sin(alpha); |
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Gij(2,0) = 0; |
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Gij(2,1) = sin(alpha); |
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Gij(2,2) = cos(alpha); |
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Gij.Invert(); |
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Fij(0,0) = cos(beta); //rotation around y-axis at angle beta |
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Fij(0,1) = 0; |
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Fij(0,2) = sin(beta); // |cos(beta) 0 sin(beta)| |
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Fij(1,0) = 0; // | 0 1 0 | |
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Fij(1,1) = 1; // |-sin(beta) 0 cos(beta)| |
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Fij(1,2) = 0; |
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Fij(2,0) = -sin(beta); |
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Fij(2,1) = 0; |
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Fij(2,2) = cos(beta); |
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Fij.Invert(); |
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//Int_t tri; |
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//cin >> tri; |
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return Fij*(Gij*Aij); |
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} |
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|
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TMatrixD OrientationInfo::PamelatoGEO(TMatrixD Aij, Double_t B1, Double_t B2, Double_t B3){ |
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//TMatrixD Gij(3,3); |
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TMatrixD Hij(3,1); |
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TMatrixD Bij(3,1); |
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Bij(0,0) = B1; |
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Bij(1,0) = B2; |
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Bij(2,0) = B3; |
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Hij=Aij*Bij; |
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return Hij; |
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} |
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|
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TMatrixD OrientationInfo::ColPermutation(TMatrixD Aij){ |
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TMatrixD Gij(3,3); |
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Gij(0,0) = 1; Gij(0,1) = 0; Gij(0,2) = 0; |
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Gij(1,0) = 0; Gij(1,1) = 0; Gij(1,2) = 1; |
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Gij(2,0) = 0; Gij(2,1) = -1; Gij(2,2) = 0; |
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return Aij*Gij; |
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} |
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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 |
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Float_t mp = 938.272029;// Float_t amu = 931.494043e0; |
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Float_t cc = 299792458.; |
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Float_t ee = 1.60217653e-19; |
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Float_t kg = 1.7826619e-30; |
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Float_t gam = (Ek+mp)/mp; |
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Float_t mm = mp*kg; |
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Float_t omega = iZ*ee*Bm*1e-9/(gam*mm); |
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Float_t larmor = 1e-3*sqrt(1e0-1e0/pow(gam,2))*cc/omega; |
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larmor = 1e-3*Ek*cc/omega; //Ek here is p or for onecharged particle R; |
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return larmor; |
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} |
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|
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TMatrixD OrientationInfo::GetDirectiontoGirocenter(Float_t R, Float_t Px, Float_t Py){ |
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TMatrixD GirDir(3,1); |
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if(R>0){ |
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GirDir(0,0) = Py; |
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GirDir(1,0) = -Px; |
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}else{ |
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GirDir(0,0) = -Py; |
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GirDir(1,0) = Px; |
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} |
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GirDir(2,0) = 0.; |
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return GirDir; |
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} |
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Double_t OrientationInfo::GetPitchAngle(Double_t x1, Double_t y1, Double_t z1, Double_t x2, Double_t y2, Double_t z2){ |
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return TMath::ACos((x1*x2 + y1*y2 + z1*z2)/(sqrt(pow(x1,2)+pow(y1,2)+pow(z1,2))*sqrt(pow(x2,2)+pow(y2,2)+pow(z2,2)))) * TMath::RadToDeg(); |
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} |
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