fsfw/coordinates/CoordinateTransformations.cpp

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2020-08-28 17:40:21 +02:00
#include "CoordinateTransformations.h"
#include "../globalfunctions/constants.h"
#include "../globalfunctions/math/MatrixOperations.h"
#include "../globalfunctions/math/VectorOperations.h"
#include <stddef.h>
#include <cmath>
void CoordinateTransformations::positionEcfToEci(const double* ecfPosition,
double* eciPosition, timeval *timeUTC) {
ecfToEci(ecfPosition, eciPosition, NULL, timeUTC);
}
void CoordinateTransformations::velocityEcfToEci(const double* ecfVelocity,
const double* ecfPosition, double* eciVelocity, timeval *timeUTC) {
ecfToEci(ecfVelocity, eciVelocity, ecfPosition, timeUTC);
}
void CoordinateTransformations::positionEciToEcf(const double* eciCoordinates, double* ecfCoordinates,timeval *timeUTC){
eciToEcf(eciCoordinates,ecfCoordinates,NULL,timeUTC);
};
void CoordinateTransformations::velocityEciToEcf(const double* eciVelocity,const double* eciPosition, double* ecfVelocity,timeval* timeUTC){
eciToEcf(eciVelocity,ecfVelocity,eciPosition,timeUTC);
}
double CoordinateTransformations::getEarthRotationAngle(timeval timeUTC) {
double jD2000UTC;
Clock::convertTimevalToJD2000(timeUTC, &jD2000UTC);
double TTt2000 = getJuleanCenturiesTT(timeUTC);
double theta = 2 * Math::PI
* (0.779057273264 + 1.00273781191135448 * jD2000UTC);
//Correct theta according to IAU 2000 precession-nutation model
theta = theta + 7.03270725817493E-008 + 0.0223603701 * TTt2000
+ 6.77128219501896E-006 * TTt2000 * TTt2000
+ 4.5300990362875E-010 * TTt2000 * TTt2000 * TTt2000
+ 9.12419347848147E-011 * TTt2000 * TTt2000 * TTt2000 * TTt2000;
return theta;
}
void CoordinateTransformations::getEarthRotationMatrix(timeval timeUTC,
double matrix[][3]) {
double theta = getEarthRotationAngle(timeUTC);
matrix[0][0] = cos(theta);
matrix[0][1] = sin(theta);
matrix[0][2] = 0;
matrix[1][0] = -sin(theta);
matrix[1][1] = cos(theta);
matrix[1][2] = 0;
matrix[2][0] = 0;
matrix[2][1] = 0;
matrix[2][2] = 1;
}
void CoordinateTransformations::ecfToEci(const double* ecfCoordinates,
double* eciCoordinates,
const double* ecfPositionIfCoordinatesAreVelocity, timeval *timeUTCin) {
timeval timeUTC;
if (timeUTCin != NULL) {
timeUTC = *timeUTCin;
} else {
Clock::getClock_timeval(&timeUTC);
}
double Tfi[3][3];
double Tif[3][3];
getTransMatrixECITOECF(timeUTC,Tfi);
MatrixOperations<double>::transpose(Tfi[0], Tif[0], 3);
MatrixOperations<double>::multiply(Tif[0], ecfCoordinates, eciCoordinates,
3, 3, 1);
if (ecfPositionIfCoordinatesAreVelocity != NULL) {
double Tdotfi[3][3];
double Tdotif[3][3];
double Trot[3][3] = { { 0, Earth::OMEGA, 0 },
{ 0 - Earth::OMEGA, 0, 0 }, { 0, 0, 0 } };
MatrixOperations<double>::multiply(Trot[0], Tfi[0], Tdotfi[0], 3, 3,
3);
MatrixOperations<double>::transpose(Tdotfi[0], Tdotif[0], 3);
double velocityCorrection[3];
MatrixOperations<double>::multiply(Tdotif[0],
ecfPositionIfCoordinatesAreVelocity, velocityCorrection, 3, 3,
1);
VectorOperations<double>::add(velocityCorrection, eciCoordinates,
eciCoordinates, 3);
}
}
double CoordinateTransformations::getJuleanCenturiesTT(timeval timeUTC) {
timeval timeTT;
Clock::convertUTCToTT(timeUTC, &timeTT);
double jD2000TT;
Clock::convertTimevalToJD2000(timeTT, &jD2000TT);
return jD2000TT / 36525.;
}
void CoordinateTransformations::eciToEcf(const double* eciCoordinates,
double* ecfCoordinates,
const double* eciPositionIfCoordinatesAreVelocity,timeval *timeUTCin){
timeval timeUTC;
if (timeUTCin != NULL) {
timeUTC = *timeUTCin;
}else{
Clock::getClock_timeval(&timeUTC);
}
double Tfi[3][3];
getTransMatrixECITOECF(timeUTC,Tfi);
MatrixOperations<double>::multiply(Tfi[0],eciCoordinates,ecfCoordinates,3,3,1);
if (eciPositionIfCoordinatesAreVelocity != NULL) {
double Tdotfi[3][3];
double Trot[3][3] = { { 0, Earth::OMEGA, 0 },
{ 0 - Earth::OMEGA, 0, 0 }, { 0, 0, 0 } };
MatrixOperations<double>::multiply(Trot[0], Tfi[0], Tdotfi[0], 3, 3,
3);
double velocityCorrection[3];
MatrixOperations<double>::multiply(Tdotfi[0],
eciPositionIfCoordinatesAreVelocity, velocityCorrection, 3, 3,
1);
VectorOperations<double>::add(ecfCoordinates, velocityCorrection,
ecfCoordinates, 3);
}
};
void CoordinateTransformations::getTransMatrixECITOECF(timeval timeUTC,double Tfi[3][3]){
double TTt2000 = getJuleanCenturiesTT(timeUTC);
//////////////////////////////////////////////////////////
// Calculate Precession Matrix
double zeta = 0.0111808609 * TTt2000
+ 1.46355554053347E-006 * TTt2000 * TTt2000
+ 8.72567663260943E-008 * TTt2000 * TTt2000 * TTt2000;
double theta_p = 0.0097171735 * TTt2000
- 2.06845757045384E-006 * TTt2000 * TTt2000
- 2.02812107218552E-007 * TTt2000 * TTt2000 * TTt2000;
double z = zeta + 3.8436028638364E-006 * TTt2000 * TTt2000
+ 0.000000001 * TTt2000 * TTt2000 * TTt2000;
double mPrecession[3][3];
mPrecession[0][0] = -sin(z) * sin(zeta) + cos(z) * cos(theta_p) * cos(zeta);
mPrecession[1][0] = cos(z) * sin(zeta) + sin(z) * cos(theta_p) * cos(zeta);
mPrecession[2][0] = sin(theta_p) * cos(zeta);
mPrecession[0][1] = -sin(z) * cos(zeta) - cos(z) * cos(theta_p) * sin(zeta);
mPrecession[1][1] = cos(z) * cos(zeta) - sin(z) * cos(theta_p) * sin(zeta);
mPrecession[2][1] = -sin(theta_p) * sin(zeta);
mPrecession[0][2] = -cos(z) * sin(theta_p);
mPrecession[1][2] = -sin(z) * sin(theta_p);
mPrecession[2][2] = cos(theta_p);
//////////////////////////////////////////////////////////
// Calculate Nutation Matrix
double omega_moon = 2.1824386244 - 33.7570459338 * TTt2000
+ 3.61428599267159E-005 * TTt2000 * TTt2000
+ 3.87850944887629E-008 * TTt2000 * TTt2000 * TTt2000;
double deltaPsi = -0.000083388 * sin(omega_moon);
double deltaEpsilon = 4.46174030725106E-005 * cos(omega_moon);
double epsilon = 0.4090928042 - 0.0002269655 * TTt2000
- 2.86040071854626E-009 * TTt2000 * TTt2000
+ 8.78967203851589E-009 * TTt2000 * TTt2000 * TTt2000;
double mNutation[3][3];
mNutation[0][0] = cos(deltaPsi);
mNutation[1][0] = cos(epsilon + deltaEpsilon) * sin(deltaPsi);
mNutation[2][0] = sin(epsilon + deltaEpsilon) * sin(deltaPsi);
mNutation[0][1] = -cos(epsilon) * sin(deltaPsi);
mNutation[1][1] = cos(epsilon) * cos(epsilon + deltaEpsilon) * cos(deltaPsi)
+ sin(epsilon) * sin(epsilon + deltaEpsilon);
mNutation[2][1] = cos(epsilon) * sin(epsilon + deltaEpsilon) * cos(deltaPsi)
- sin(epsilon) * cos(epsilon + deltaEpsilon);
mNutation[0][2] = -sin(epsilon) * sin(deltaPsi);
mNutation[1][2] = sin(epsilon) * cos(epsilon + deltaEpsilon) * cos(deltaPsi)
- cos(epsilon) * sin(epsilon + deltaEpsilon);
mNutation[2][2] = sin(epsilon) * sin(epsilon + deltaEpsilon) * cos(deltaPsi)
+ cos(epsilon) * cos(epsilon + deltaEpsilon);
//////////////////////////////////////////////////////////
// Calculate Earth rotation matrix
//calculate theta
double mTheta[3][3];
double Ttemp[3][3];
getEarthRotationMatrix(timeUTC, mTheta);
//polar motion is neglected
MatrixOperations<double>::multiply(mNutation[0], mPrecession[0], Ttemp[0],
3, 3, 3);
MatrixOperations<double>::multiply(mTheta[0], Ttemp[0], Tfi[0], 3, 3, 3);
};