/* * Igrf13Model.h * * Created on: 10 Mar 2022 * Author: Robin Marquardt * Description: Calculates the magnetic field vector of earth with the IGRF Model. * Sources: https://www.ngdc.noaa.gov/IAGA/vmod/igrf.html * https://doi.org/10.1186/s40623-020-01288-x * J. Davis, Mathematical Modeling of Earth's Magnetic Field, TN, 2004 * * [Conversion of ENU (geocentric) to IJK: Skript Bahnmechanik für Raumfahrzeuge, * Prof. Dr.-Ing. Stefanos Fasoulas / Dr.-Ing. Frank Zimmermann] * */ #ifndef IGRF13MODEL_H_ #define IGRF13MODEL_H_ #include #include #include #include #include // Output should be transformed to [T] instead of [nT] // Updating Coefficients has to be implemented yet. Question, updating everyday ? class Igrf13Model/*:public HasParametersIF*/{ public: Igrf13Model(); virtual ~Igrf13Model(); // Main Function void magFieldComp(const double longitude, const double gcLatitude, const double altitude, timeval timeOfMagMeasurement,double* magFieldModelInertial); // Right now the radius for igrf is simply with r0 + altitude calculated. In reality the radius is oriented from the satellite to earth COM // Difference up to 25 km, which is 5 % of the total flight altitude /* Inputs: * - longitude: geocentric longitude [rad] * - latitude: geocentric latitude [rad] * - altitude: [m] * - timeOfMagMeasurement: time of actual measurement [s] * * Outputs: * - magFieldModelInertial: Magnetic Field Vector in IJK KOS [nT]*/ // Coefficient wary over year, could be updated sometimes. void updateCoeffGH(timeval timeOfMagMeasurement); //Secular variation (SV) double magFieldModel[3]; private: const double coeffG[14][13] = {{-29404.8,-2499.6, 1363.2, 903.0,-234.3, 66.0, 80.6, 23.7, 5.0,-1.9, 3.0,-2.0, 0.1}, { -1450.9, 2982.0,-2381.2, 809.5, 363.2, 65.5,-76.7, 9.7, 8.4,-6.2,-1.4,-0.1,-0.9}, { 0.0, 1677.0, 1236.2, 86.3, 187.8, 72.9, -8.2,-17.6, 2.9,-0.1,-2.5, 0.5, 0.5}, { 0.0, 0.0, 525.7,-309.4,-140.7,-121.5, 56.5, -0.5, -1.5, 1.7, 2.3, 1.3, 0.7}, { 0.0, 0.0, 0.0, 48.0,-151.2, -36.2, 15.8,-21.1, -1.1,-0.9,-0.9,-1.2,-0.3}, { 0.0, 0.0, 0.0, 0.0, 13.5, 13.5, 6.4, 15.3,-13.2, 0.7, 0.3, 0.7, 0.8}, { 0.0, 0.0, 0.0, 0.0, 0.0, -64.7, -7.2, 13.7, 1.1,-0.9,-0.7, 0.3, 0.0}, { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.8,-16.5, 8.8, 1.9,-0.1, 0.5, 0.8}, { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -0.3, -9.3, 1.4, 1.4,-0.3, 0.0}, { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,-11.9,-2.4,-0.6,-0.5, 0.4}, { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,-3.8, 0.2, 0.1, 0.1}, { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.1,-1.1, 0.5}, { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,-0.3,-0.5}, { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,-0.4}}; // [m][n] in nT const double coeffH[14][13] = {{ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0 }, {4652.5,-2991.6, -82.1, 281.9, 47.7,-19.1,-51.5, 8.4,-23.4, 3.4, 0.0,-1.2,-0.9}, { 0.0, -734.6, 241.9,-158.4, 208.3, 25.1,-16.9,-15.3, 11.0,-0.2, 2.5, 0.5, 0.6}, { 0.0, 0.0,-543.4, 199.7,-121.2, 52.8, 2.2, 12.8, 9.8, 3.6,-0.6, 1.4, 1.4}, { 0.0, 0.0, 0.0,-349.7, 32.3,-64.5, 23.5,-11.7, -5.1, 4.8,-0.4,-1.8,-0.4}, { 0.0, 0.0, 0.0, 0.0, 98.9, 8.9, -2.2, 14.9, -6.3,-8.6, 0.6, 0.1,-1.3}, { 0.0, 0.0, 0.0, 0.0, 0.0, 68.1,-27.2, 3.6, 7.8,-0.1,-0.2, 0.8,-0.1}, { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.8, -6.9, 0.4,-4.3,-1.7,-0.2, 0.3}, { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.8, -1.4,-3.4,-1.6, 0.6,-0.1}, { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.6,-0.1,-3.0, 0.2, 0.5}, { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,-8.8,-2.0,-0.9, 0.5}, { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,-2.6, 0.0,-0.4}, { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.5,-0.4}, { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,-0.6}}; // [m][n] in nT const double svG[14][13] = {{5.7,-11.0, 2.2,-1.2,-0.3,-0.5,-0.1, 0.0, 0.0, 0.0, 0.0, 0.0 ,0.0}, {7.4, -7.0, -5.9,-1.6, 0.5,-0.3,-0.2, 0.1, 0.0, 0.0, 0.0, 0.0, 0.0}, {0.0, -2.1, 3.1,-5.9,-0.6, 0.4, 0.0,-0.1, 0.0, 0.0, 0.0, 0.0, 0.0}, {0.0, 0.0,-12.0, 5.2, 0.2, 1.3, 0.7, 0.4, 0.0, 0.0, 0.0, 0.0, 0.0}, {0.0, 0.0, 0.0,-5.1, 1.3,-1.4, 0.1,-0.1, 0.0, 0.0, 0.0, 0.0, 0.0}, {0.0, 0.0, 0.0, 0.0, 0.9, 0.0,-0.5, 0.4, 0.0, 0.0, 0.0, 0.0, 0.0}, {0.0, 0.0, 0.0, 0.0, 0.0, 0.9,-0.8, 0.3, 0.0, 0.0, 0.0, 0.0, 0.0}, {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.8,-0.1, 0.0, 0.0, 0.0, 0.0, 0.0}, {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.4, 0.0, 0.0, 0.0, 0.0, 0.0}, {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}}; // [m][n] in nT const double svH[14][13] = {{ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, {-25.9,-30.2, 6.0,-0.1, 0.0, 0.0, 0.6,-0.2, 0.0, 0.0, 0.0, 0.0, 0.0}, { 0.0,-22.4,-1.1, 6.5, 2.5,-1.6, 0.6, 0.6, 0.0, 0.0, 0.0, 0.0, 0.0}, { 0.0, 0.0, 0.5, 3.6,-0.6,-1.3,-0.8,-0.2, 0.0, 0.0, 0.0, 0.0, 0.0}, { 0.0, 0.0, 0.0,-5.0, 3.0, 0.8,-0.2, 0.5, 0.0, 0.0, 0.0, 0.0, 0.0}, { 0.0, 0.0, 0.0, 0.0, 0.3, 0.0,-1.1,-0.3, 0.0, 0.0, 0.0, 0.0, 0.0}, { 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.1,-0.4, 0.0, 0.0, 0.0, 0.0, 0.0}, { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.3, 0.5, 0.0, 0.0, 0.0, 0.0, 0.0}, { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}}; // [m][n] in nT double updatedG[14][13]; double updatedH[14][13]; static const int igrfOrder = 13; // degree of truncation }; #endif /* IGRF13MODEL_H_ */