/*! * \file beidou_ephemeris.cc * \brief Interface of a BeiDou EPHEMERIS storage and orbital model functions * * \author Sergi Segura, 2018. sergi.segura.munoz(at)gmail.com * * ------------------------------------------------------------------------- * * Copyright (C) 2010-2015 (see AUTHORS file for a list of contributors) * * GNSS-SDR is a software defined Global Navigation * Satellite Systems receiver * * This file is part of GNSS-SDR. * * GNSS-SDR is free software: you can redistribute it and/or modify * it under the terms of the GNU General Public License as published by * the Free Software Foundation, either version 3 of the License, or * (at your option) any later version. * * GNSS-SDR is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU General Public License for more details. * * You should have received a copy of the GNU General Public License * along with GNSS-SDR. If not, see . * * ------------------------------------------------------------------------- */ #include "beidou_dnav_ephemeris.h" #include #include "Beidou_B1I.h" #include "gnss_satellite.h" Beidou_Ephemeris::Beidou_Ephemeris() { i_satellite_PRN = 0; d_TOW = 0; d_Crs = 0; d_Delta_n = 0; d_M_0 = 0; d_Cuc = 0; d_e_eccentricity = 0; d_Cus = 0; d_sqrt_A = 0; d_Toe = 0; d_Toc = 0; d_Cic = 0; d_OMEGA0 = 0; d_Cis = 0; d_i_0 = 0; d_Crc = 0; d_OMEGA = 0; d_OMEGA_DOT = 0; d_IDOT = 0; i_BEIDOU_week = 0; i_SV_accuracy = 0; i_SV_health = 0; d_AODE = 0; d_TGD1 = 0; d_TGD2 = 0; d_AODC = 0; // Issue of Data, Clock i_AODO = 0; // Age of Data Offset (AODO) term for the navigation message correction table (NMCT) contained in subframe 4 (reference paragraph 20.3.3.5.1.9) [s] d_AODC = 0; b_fit_interval_flag = false; // indicates the curve-fit interval used by the CS (Block II/IIA/IIR/IIR-M/IIF) and SS (Block IIIA) in determining the ephemeris parameters, as follows: 0 = 4 hours, 1 = greater than 4 hours. d_spare1 = 0; d_spare2 = 0; d_A_f0 = 0; // Coefficient 0 of code phase offset model [s] d_A_f1 = 0; // Coefficient 1 of code phase offset model [s/s] d_A_f2 = 0; // Coefficient 2 of code phase offset model [s/s^2] b_integrity_status_flag = false; b_alert_flag = false; // If true, indicates that the SV URA may be worse than indicated in d_SV_accuracy, use that SV at our own risk. b_antispoofing_flag = false; // If true, the AntiSpoofing mode is ON in that SV auto gnss_sat = Gnss_Satellite(); std::string _system ("Beidou"); for(unsigned int i = 1; i < 36; i++) { satelliteBlock[i] = gnss_sat.what_block(_system, i); } d_satClkDrift = 0.0; d_dtr = 0.0; d_satpos_X = 0.0; d_satpos_Y = 0.0; d_satpos_Z = 0.0; d_satvel_X = 0.0; d_satvel_Y = 0.0; d_satvel_Z = 0.0; } double Beidou_Ephemeris::check_t(double time) { double corrTime; double half_week = 302400.0; // seconds corrTime = time; if (time > half_week) { corrTime = time - 2.0 * half_week; } else if (time < -half_week) { corrTime = time + 2.0 * half_week; } return corrTime; } // 20.3.3.3.3.1 User Algorithm for SV Clock Correction. double Beidou_Ephemeris::sv_clock_drift(double transmitTime) { double dt; dt = check_t(transmitTime - d_Toc); for (int i = 0; i < 2; i++) { dt -= d_A_f0 + d_A_f1 * dt + d_A_f2 * (dt * dt); } d_satClkDrift = d_A_f0 + d_A_f1 * dt + d_A_f2 * (dt * dt); return d_satClkDrift; } // compute the relativistic correction term double Beidou_Ephemeris::sv_clock_relativistic_term(double transmitTime) { double tk; double a; double n; double n0; double E; double E_old; double dE; double M; // Restore semi-major axis a = d_sqrt_A * d_sqrt_A; // Time from ephemeris reference epoch tk = check_t(transmitTime - d_Toe); // Computed mean motion n0 = sqrt(BEIDOU_GM / (a * a * a)); // Corrected mean motion n = n0 + d_Delta_n; // Mean anomaly M = d_M_0 + n * tk; // Reduce mean anomaly to between 0 and 2pi M = fmod((M + 2.0 * BEIDOU_PI), (2.0 * BEIDOU_PI)); // Initial guess of eccentric anomaly E = M; // --- Iteratively compute eccentric anomaly ---------------------------- for (int ii = 1; ii < 20; ii++) { E_old = E; E = M + d_e_eccentricity * sin(E); dE = fmod(E - E_old, 2.0 * BEIDOU_PI); if (fabs(dE) < 1e-12) { //Necessary precision is reached, exit from the loop break; } } // Compute relativistic correction term d_dtr = BEIDOU_F * d_e_eccentricity * d_sqrt_A * sin(E); return d_dtr; } double Beidou_Ephemeris::satellitePosition(double transmitTime) { double tk; double a; double n; double n0; double M; double E; double E_old; double dE; double nu; double phi; double u; double r; double i; double Omega; // Find satellite's position ---------------------------------------------- // Restore semi-major axis a = d_sqrt_A * d_sqrt_A; // Time from ephemeris reference epoch tk = check_t(transmitTime - d_Toe); // Computed mean motion n0 = sqrt(BEIDOU_GM / (a * a * a)); // Corrected mean motion n = n0 + d_Delta_n; // Mean anomaly M = d_M_0 + n * tk; // Reduce mean anomaly to between 0 and 2pi M = fmod((M + 2.0 * BEIDOU_PI), (2.0 * BEIDOU_PI)); // Initial guess of eccentric anomaly E = M; // --- Iteratively compute eccentric anomaly ---------------------------- for (int ii = 1; ii < 20; ii++) { E_old = E; E = M + d_e_eccentricity * sin(E); dE = fmod(E - E_old, 2.0 * BEIDOU_PI); if (fabs(dE) < 1e-12) { //Necessary precision is reached, exit from the loop break; } } // Compute the true anomaly double tmp_Y = sqrt(1.0 - d_e_eccentricity * d_e_eccentricity) * sin(E); double tmp_X = cos(E) - d_e_eccentricity; nu = atan2(tmp_Y, tmp_X); // Compute angle phi (argument of Latitude) phi = nu + d_OMEGA; // Reduce phi to between 0 and 2*pi rad phi = fmod((phi), (2.0 * BEIDOU_PI)); // Correct argument of latitude u = phi + d_Cuc * cos(2.0 * phi) + d_Cus * sin(2.0 * phi); // Correct radius r = a * (1.0 - d_e_eccentricity*cos(E)) + d_Crc * cos(2.0 * phi) + d_Crs * sin(2.0 * phi); // Correct inclination i = d_i_0 + d_IDOT * tk + d_Cic * cos(2.0 * phi) + d_Cis * sin(2.0 * phi); // Compute the angle between the ascending node and the Greenwich meridian Omega = d_OMEGA0 + (d_OMEGA_DOT - BEIDOU_OMEGA_EARTH_DOT)*tk - BEIDOU_OMEGA_EARTH_DOT * d_Toe; // Reduce to between 0 and 2*pi rad Omega = fmod((Omega + 2.0 * BEIDOU_PI), (2.0 * BEIDOU_PI)); // --- Compute satellite coordinates in Earth-fixed coordinates d_satpos_X = cos(u) * r * cos(Omega) - sin(u) * r * cos(i) * sin(Omega); d_satpos_Y = cos(u) * r * sin(Omega) + sin(u) * r * cos(i) * cos(Omega); d_satpos_Z = sin(u) * r * sin(i); // Satellite's velocity. Can be useful for Vector Tracking loops double Omega_dot = d_OMEGA_DOT - BEIDOU_OMEGA_EARTH_DOT; d_satvel_X = - Omega_dot * (cos(u) * r + sin(u) * r * cos(i)) + d_satpos_X * cos(Omega) - d_satpos_Y * cos(i) * sin(Omega); d_satvel_Y = Omega_dot * (cos(u) * r * cos(Omega) - sin(u) * r * cos(i) * sin(Omega)) + d_satpos_X * sin(Omega) + d_satpos_Y * cos(i) * cos(Omega); d_satvel_Z = d_satpos_Y * sin(i); // Time from ephemeris reference clock tk = check_t(transmitTime - d_Toc); double dtr_s = d_A_f0 + d_A_f1 * tk + d_A_f2 * tk * tk; /* relativity correction */ dtr_s -= 2.0 * sqrt(BEIDOU_GM * a) * d_e_eccentricity * sin(E) / (BEIDOU_C_m_s * BEIDOU_C_m_s); return dtr_s; }