SPATZ/conversion.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.read_csv('data/simulations/raw/40km.txt', sep='\\t')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0       X-Acceleration w/o Gravity of STAHR_Rocket in ...\n",
       "1                                         Meter/Second**2\n",
       "2                                    9.67852498145304E+00\n",
       "3                                    9.67852498145304E+00\n",
       "4                                    9.67852498145304E+00\n",
       "                              ...                        \n",
       "1813                                -2.41121388692535E+01\n",
       "1814                                -2.41078024059658E+01\n",
       "1815                                -2.41034666363313E+01\n",
       "1816                                -2.40991315104000E+01\n",
       "1817                                -2.40991315104000E+01\n",
       "Name: acceleration_without_gravity_x~STAHR_Rocket#B~STAHR_Rocket@STAHR_Rocket, Length: 1818, dtype: object"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['acceleration_without_gravity_x~STAHR_Rocket#B~STAHR_Rocket@STAHR_Rocket']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "('Phase', nan)\n",
      "('acceleration_without_gravity_east~STAHR_Rocket#L~STAHR_Rocket:Earth@STAHR_Rocket', 'Meter/Second**2')\n",
      "('acceleration_without_gravity_north~STAHR_Rocket#L~STAHR_Rocket:Earth@STAHR_Rocket', 'Meter/Second**2')\n",
      "('acceleration_without_gravity_radial~STAHR_Rocket#L~STAHR_Rocket:Earth@STAHR_Rocket', 'Meter/Second**2')\n",
      "('acceleration_without_gravity_x~STAHR_Rocket#B~STAHR_Rocket@STAHR_Rocket', 'Meter/Second**2')\n",
      "('acceleration_without_gravity_y~STAHR_Rocket#B~STAHR_Rocket@STAHR_Rocket', 'Meter/Second**2')\n",
      "('acceleration_without_gravity_z~STAHR_Rocket#B~STAHR_Rocket@STAHR_Rocket', 'Meter/Second**2')\n",
      "('acceleration_without_gravity~STAHR_Rocket', 'Meter/Second**2')\n",
      "('acceleration_x~STAHR_Rocket#J2000@Earth', 'Meter/Second**2')\n",
      "('acceleration_y~STAHR_Rocket#J2000@Earth', 'Meter/Second**2')\n",
      "('acceleration_z~STAHR_Rocket#J2000@Earth', 'Meter/Second**2')\n",
      "('acceleration~STAHR_Rocket#J2000@Earth', 'Meter/Second**2')\n",
      "('acc_aero_east~STAHR_Rocket#L~STAHR_Rocket:Earth@STAHR_Rocket', 'Meter/Second**2')\n",
      "('acc_aero_north~STAHR_Rocket#L~STAHR_Rocket:Earth@STAHR_Rocket', 'Meter/Second**2')\n",
      "('acc_aero_r~STAHR_Rocket#L~STAHR_Rocket:Earth@STAHR_Rocket', 'Meter/Second**2')\n",
      "('acc_aero~STAHR_Rocket', 'Meter/Second**2')\n",
      "('acc_normal~STAHR_Rocket', 'Meter/Second**2')\n",
      "('acc_thrust_east~STAHR_Rocket#L~STAHR_Rocket:Earth@STAHR_Rocket', 'Meter/Second**2')\n",
      "('acc_thrust_north~STAHR_Rocket#L~STAHR_Rocket:Earth@STAHR_Rocket', 'Meter/Second**2')\n",
      "('acc_thrust_r~STAHR_Rocket#L~STAHR_Rocket:Earth@STAHR_Rocket', 'Meter/Second**2')\n",
      "('acc_thrust~STAHR_Rocket', 'Meter/Second**2')\n",
      "('aero_area_ref~STAHR_Rocket', 'Meter^2')\n",
      "('aero_bank_angle~STAHR_Rocket', 'Degree')\n",
      "('aero_roll_angle~STAHR_Rocket', 'Degree')\n",
      "('airpath_angle~STAHR_Rocket#LD~STAHR_Rocket:Earth', 'Degree')\n",
      "('airpath_angle~STAHR_Rocket#L~STAHR_Rocket:Earth', 'Degree')\n",
      "('AIRPATH_BANK_ANGLE~Esrange#A~Esrange:Earth', 'Radian')\n",
      "('AIRPATH_BANK_ANGLE~STAHR_Rocket#A~STAHR_Rocket:Earth', 'Radian')\n",
      "('airpath_heading~STAHR_Rocket#LD~STAHR_Rocket:Earth', 'Degree')\n",
      "('airpath_heading~STAHR_Rocket#L~STAHR_Rocket:Earth', 'Degree')\n",
      "('airpath_speed~STAHR_Rocket', 'Kilo-Meter/Second')\n",
      "('altitude_apoapsis~STAHR_Rocket@Earth', 'Kilo-Meter')\n",
      "('altitude_periapsis~STAHR_Rocket@Earth', 'Kilo-Meter')\n",
      "('altitude~STAHR_Rocket@Earth', 'Kilo-Meter')\n",
      "('angle1~IB3:STAHR_Rocket#B~STAHR_Rocket', 'Radian')\n",
      "('angle1~IB3:STAHR_Rocket#J2000', 'Radian')\n",
      "('angle1~STAHR:STAHR_Rocket#B~STAHR_Rocket', 'Radian')\n",
      "('angle1~STAHR:STAHR_Rocket#J2000', 'Radian')\n",
      "('angle2~IB3:STAHR_Rocket#B~STAHR_Rocket', 'Radian')\n",
      "('angle2~IB3:STAHR_Rocket#J2000', 'Radian')\n",
      "('angle2~STAHR:STAHR_Rocket#B~STAHR_Rocket', 'Radian')\n",
      "('angle2~STAHR:STAHR_Rocket#J2000', 'Radian')\n",
      "('angle3~IB3:STAHR_Rocket#B~STAHR_Rocket', 'Radian')\n",
      "('angle3~IB3:STAHR_Rocket#J2000', 'Radian')\n",
      "('angle3~STAHR:STAHR_Rocket#B~STAHR_Rocket', 'Radian')\n",
      "('angle3~STAHR:STAHR_Rocket#J2000', 'Radian')\n",
      "('angle_body_and_local_vertical~STAHR_Rocket#L~STAHR_Rocket:Earth', 'Degree')\n",
      "('angle_of_attack_rate~STAHR_Rocket#A~STAHR_Rocket:Earth', 'Degree/Second')\n",
      "('ANGLE_OF_ATTACK~Esrange#A~Esrange:Earth', 'Radian')\n",
      "('ANGLE_OF_ATTACK~STAHR_Rocket#A~STAHR_Rocket:Earth', 'Radian')\n",
      "('angular_velocity~STAHR_Rocket#B~STAHR_Rocket', 'Degree/Second')\n",
      "('arc_length~STAHR_Rocket', 'Kilo-Meter')\n",
      "('ascending_node_rel~STAHR_Rocket#TOD~Earth', 'Degree')\n",
      "('ascending_node~STAHR_Rocket#J2000', 'Degree')\n",
      "('ascending_node~STAHR_Rocket#TOD~Earth', 'Degree')\n",
      "('asymptote_decl~STAHR_Rocket#J2000', 'Degree')\n",
      "('asymptote_decl~STAHR_Rocket#TOD~Earth', 'Degree')\n",
      "('asymptote_right_ascension~STAHR_Rocket#J2000', 'Degree')\n",
      "('asymptote_right_ascension~STAHR_Rocket#TOD~Earth', 'Degree')\n",
      "('atmos_density~STAHR_Rocket', 'Kilogram/Meter**3')\n",
      "('atmos_pressure~STAHR_Rocket', 'Pascal')\n",
      "('atmos_temperature~STAHR_Rocket', 'Kelvin')\n",
      "('bank_angle_rate~STAHR_Rocket#A~STAHR_Rocket:Earth', 'Degree/Second')\n",
      "('bank_angle~STAHR_Rocket#A~STAHR_Rocket:Earth', 'Degree')\n",
      "('bending_moment~STAHR_Rocket', 'Pascal*Radian')\n",
      "('burn_time~IB3:STAHR_Rocket', 'Second')\n",
      "('cross_range~STAHR_Rocket', 'Kilo-Meter')\n",
      "('declination~STAHR_Rocket#J2000@Earth', 'Degree')\n",
      "('declination~STAHR_Rocket#PCPF~Earth@Earth', 'Degree')\n",
      "('declination~STAHR_Rocket#TOD~Earth@Earth', 'Degree')\n",
      "('DECL~STAHR_Rocket', 'Radian')\n",
      "('dimension_x~STAHR_Rocket', 'Meter')\n",
      "('dimension_y~STAHR_Rocket', 'Meter')\n",
      "('dimension_z~STAHR_Rocket', 'Meter')\n",
      "('down_range~STAHR_Rocket', 'Kilo-Meter')\n",
      "('drag_acc~STAHR_Rocket', 'Meter/Second**2')\n",
      "('drag_coeff~STAHR_Rocket', nan)\n",
      "('drag~STAHR_Rocket', 'Kilo-Newton')\n",
      "('dummy_altitude', 'Meter')\n",
      "('dummy_declination', 'Degree')\n",
      "('dummy_latitude', 'Degree')\n",
      "('dummy_longitude', 'Degree')\n",
      "('dummy_radius', 'Meter')\n",
      "('dynamic_pressure~STAHR_Rocket', 'Pascal')\n",
      "('dyn_viscosity~STAHR_Rocket', 'Pascal*Second')\n",
      "('eccentricity~STAHR_Rocket@Earth', nan)\n",
      "('eccentric_anomaly~STAHR_Rocket@Earth', 'Degree')\n",
      "('energy_total~STAHR_Rocket@Earth', 'Kilo-Joule/Kilogram')\n",
      "('equinoctial_f~STAHR_Rocket#TOD~Earth', nan)\n",
      "('equinoctial_g~STAHR_Rocket#TOD~Earth', nan)\n",
      "('equinoctial_h~STAHR_Rocket#TOD~Earth', nan)\n",
      "('equinoctial_k~STAHR_Rocket#TOD~Earth', nan)\n",
      "('equinoctial_l~STAHR_Rocket#TOD~Earth', 'Degree')\n",
      "('equinoctial_p~STAHR_Rocket@Earth', 'Kilo-Meter')\n",
      "('excess_velocity~STAHR_Rocket@Earth', 'Kilo-Meter/Second')\n",
      "('flightpath_angle~STAHR_Rocket#LD~STAHR_Rocket:Earth', 'Degree')\n",
      "('flightpath_angle~STAHR_Rocket#L~STAHR_Rocket:Earth', 'Degree')\n",
      "('flightpath_heading~STAHR_Rocket#LD~STAHR_Rocket:Earth', 'Degree')\n",
      "('flightpath_heading~STAHR_Rocket#L~STAHR_Rocket:Earth', 'Degree')\n",
      "('flightpath_speed~STAHR_Rocket', 'Kilo-Meter/Second')\n",
      "('flightpath_vertical~STAHR_Rocket#L~STAHR_Rocket:Earth', 'Degree')\n",
      "('flight_time', 'Second')\n",
      "('flight_time~STAHR_Rocket', 'Second')\n",
      "('force_aero_axial~STAHR_Rocket#B~STAHR_Rocket@STAHR_Rocket', 'Kilo-Newton')\n",
      "('force_aero_east~STAHR_Rocket#L~STAHR_Rocket:Earth@STAHR_Rocket', 'Kilo-Newton')\n",
      "('force_aero_lateral~STAHR_Rocket#B~STAHR_Rocket@STAHR_Rocket', 'Kilo-Newton')\n",
      "('force_aero_normal~STAHR_Rocket#B~STAHR_Rocket@STAHR_Rocket', 'Kilo-Newton')\n",
      "('force_aero_north~STAHR_Rocket#L~STAHR_Rocket:Earth@STAHR_Rocket', 'Kilo-Newton')\n",
      "('force_aero_r~STAHR_Rocket#L~STAHR_Rocket:Earth@STAHR_Rocket', 'Kilo-Newton')\n",
      "('gps_time', 'Second')\n",
      "('gravity_force_x~STAHR_Rocket#B~STAHR_Rocket@STAHR_Rocket', 'Newton')\n",
      "('gravity_force_y~STAHR_Rocket#B~STAHR_Rocket@STAHR_Rocket', 'Newton')\n",
      "('gravity_force_z~STAHR_Rocket#B~STAHR_Rocket@STAHR_Rocket', 'Newton')\n",
      "('gravity_potential~Esrange', 'Kilo-Joule/Kilogram')\n",
      "('gravity_potential~STAHR_Rocket@Earth', 'Kilo-Joule/Kilogram')\n",
      "('gravity~STAHR_Rocket', 'Meter/Second**2')\n",
      "('great_circle_distance~STAHR_Rocket', 'Kilo-Meter')\n",
      "('heat_flux_density~STAHR_Rocket', 'Kilo-Watt/Meter**2')\n",
      "('hload_lift~STAHR_Rocket', nan)\n",
      "('inclination~STAHR_Rocket#J2000', 'Degree')\n",
      "('inclination~STAHR_Rocket#TOD~Earth', 'Degree')\n",
      "('inertial_flightpath_vertical~STAHR_Rocket#L~STAHR_Rocket:Earth', 'Degree')\n",
      "('inertial_flightpath~STAHR_Rocket#L~STAHR_Rocket:Earth', 'Degree')\n",
      "('inertial_heading~STAHR_Rocket#L~STAHR_Rocket:Earth', 'Degree')\n",
      "('inertial_speed~STAHR_Rocket', 'Kilo-Meter/Second')\n",
      "('inertia_xx~STAHR_Rocket', 'Kilogram*Meter**2')\n",
      "('inertia_xy~STAHR_Rocket', 'Kilogram*Meter**2')\n",
      "('inertia_xz~STAHR_Rocket', 'Kilogram*Meter**2')\n",
      "('inertia_yy~STAHR_Rocket', 'Kilogram*Meter**2')\n",
      "('inertia_yz~STAHR_Rocket', 'Kilogram*Meter**2')\n",
      "('inertia_zz~STAHR_Rocket', 'Kilogram*Meter**2')\n",
      "('isp_vacuum~IB3:STAHR_Rocket', 'Second')\n",
      "('isp~IB3:STAHR_Rocket', 'Second')\n",
      "('julian_date_tt', 'Day')\n",
      "('julian_date_utc', 'Day')\n",
      "('knudsen_number~STAHR_Rocket', nan)\n",
      "('latitude~STAHR_Rocket#PCPF~Earth@Earth', 'Degree')\n",
      "('lift_acc~STAHR_Rocket', 'Meter/Second**2')\n",
      "('lift_coeff~STAHR_Rocket', nan)\n",
      "('lift_drag_ratio~STAHR_Rocket', nan)\n",
      "('lift~STAHR_Rocket', 'Kilo-Newton')\n",
      "('load_factor_axial~STAHR_Rocket', nan)\n",
      "('load_factor_cross~STAHR_Rocket', nan)\n",
      "('load_factor_normal~STAHR_Rocket', nan)\n",
      "('load_factor~STAHR_Rocket', nan)\n",
      "('local_central_body_radius~STAHR_Rocket', 'Kilo-Meter')\n",
      "('longitude~STAHR_Rocket#PCPF~Earth@Earth', 'Degree')\n",
      "('LONG~STAHR_Rocket', 'Radian')\n",
      "('mach~STAHR_Rocket', nan)\n",
      "('magnetic_flux_density_east~STAHR_Rocket#L~STAHR_Rocket:Earth@STAHR_Rocket', 'Nano-Tesla')\n",
      "('magnetic_flux_density_north~STAHR_Rocket#L~STAHR_Rocket:Earth@STAHR_Rocket', 'Nano-Tesla')\n",
      "('magnetic_flux_density_radial~STAHR_Rocket#L~STAHR_Rocket:Earth@STAHR_Rocket', 'Nano-Tesla')\n",
      "('magnetic_flux_density_x~STAHR_Rocket#B~STAHR_Rocket@STAHR_Rocket', 'Nano-Tesla')\n",
      "('magnetic_flux_density_y~STAHR_Rocket#B~STAHR_Rocket@STAHR_Rocket', 'Nano-Tesla')\n",
      "('magnetic_flux_density_z~STAHR_Rocket#B~STAHR_Rocket@STAHR_Rocket', 'Nano-Tesla')\n",
      "('magnetic_flux_density~STAHR_Rocket#L~STAHR_Rocket:Earth@STAHR_Rocket', 'Nano-Tesla')\n",
      "('mass_flow~IB3:STAHR_Rocket', 'Kilogram/Second')\n",
      "('mass_total~STAHR_Rocket', 'Mega-Gram')\n",
      "('mean_anomaly~STAHR_Rocket@Earth', 'Degree')\n",
      "('mean_local_time_of_the_ascending_node~STAHR_Rocket', 'Hour')\n",
      "('mean_motion~STAHR_Rocket@Earth', 'Radian/Second')\n",
      "('mission_time', 'Second')\n",
      "('moment_aero_x~STAHR_Rocket#B~STAHR_Rocket', 'Newton*Meter')\n",
      "('moment_aero_y~STAHR_Rocket#B~STAHR_Rocket', 'Newton*Meter')\n",
      "('moment_aero_z~STAHR_Rocket#B~STAHR_Rocket', 'Newton*Meter')\n",
      "('Norm_Indep_Var', nan)\n",
      "('nozzle_area~IB3:STAHR_Rocket', 'Meter^2')\n",
      "('OMEGA_X~STAHR_Rocket', 'Radian/Second')\n",
      "('omega_x~STAHR_Rocket#B~STAHR_Rocket', 'Degree/Second')\n",
      "('OMEGA_Y~STAHR_Rocket', 'Radian/Second')\n",
      "('omega_y~STAHR_Rocket#B~STAHR_Rocket', 'Degree/Second')\n",
      "('OMEGA_Z~STAHR_Rocket', 'Radian/Second')\n",
      "('omega_z~STAHR_Rocket#B~STAHR_Rocket', 'Degree/Second')\n",
      "('orbital_period~STAHR_Rocket@Earth', 'Second')\n",
      "('periapsis_argument~STAHR_Rocket#J2000', 'Degree')\n",
      "('periapsis_argument~STAHR_Rocket#TOD~Earth', 'Degree')\n",
      "('pitch_rate~STAHR_Rocket#J2000', 'Degree/Second')\n",
      "('pitch_rate~STAHR_Rocket#LO~STAHR_Rocket:Earth', 'Degree/Second')\n",
      "('pitch_rate~STAHR_Rocket#L~STAHR_Rocket:Earth', 'Degree/Second')\n",
      "('PITCH~Esrange#L~Esrange:Earth', 'Radian')\n",
      "('PITCH~STAHR_Rocket', 'Radian')\n",
      "('pitch~STAHR_Rocket#J2000', 'Degree')\n",
      "('pitch~STAHR_Rocket#LD~STAHR_Rocket:Earth', 'Degree')\n",
      "('pitch~STAHR_Rocket#LO~STAHR_Rocket:Earth', 'Degree')\n",
      "('pitch~STAHR_Rocket#L~STAHR_Rocket:Earth', 'Degree')\n",
      "('pitch~STAHR_Rocket#N~STAHR_Rocket', 'Degree')\n",
      "('pitch~STAHR_Rocket#TOD~Earth', 'Degree')\n",
      "('PROP_MASS~STAHR:STAHR_Rocket', 'Kilogram')\n",
      "('quaternion_w~Earth#J2000', nan)\n",
      "('quaternion_w~IB3:STAHR_Rocket#B~STAHR_Rocket', nan)\n",
      "('quaternion_w~STAHR:STAHR_Rocket#B~STAHR_Rocket', nan)\n",
      "('quaternion_w~STAHR_Rocket#J2000', nan)\n",
      "('quaternion_w~STAHR_Rocket#L~STAHR_Rocket:Earth', nan)\n",
      "('quaternion_x~Earth#J2000', nan)\n",
      "('quaternion_x~IB3:STAHR_Rocket#B~STAHR_Rocket', nan)\n",
      "('quaternion_x~STAHR:STAHR_Rocket#B~STAHR_Rocket', nan)\n",
      "('quaternion_x~STAHR_Rocket#J2000', nan)\n",
      "('quaternion_x~STAHR_Rocket#L~STAHR_Rocket:Earth', nan)\n",
      "('quaternion_y~Earth#J2000', nan)\n",
      "('quaternion_y~IB3:STAHR_Rocket#B~STAHR_Rocket', nan)\n",
      "('quaternion_y~STAHR:STAHR_Rocket#B~STAHR_Rocket', nan)\n",
      "('quaternion_y~STAHR_Rocket#J2000', nan)\n",
      "('quaternion_y~STAHR_Rocket#L~STAHR_Rocket:Earth', nan)\n",
      "('quaternion_z~Earth#J2000', nan)\n",
      "('quaternion_z~IB3:STAHR_Rocket#B~STAHR_Rocket', nan)\n",
      "('quaternion_z~STAHR:STAHR_Rocket#B~STAHR_Rocket', nan)\n",
      "('quaternion_z~STAHR_Rocket#J2000', nan)\n",
      "('quaternion_z~STAHR_Rocket#L~STAHR_Rocket:Earth', nan)\n",
      "('radius_apoapsis~STAHR_Rocket@Earth', 'Kilo-Meter')\n",
      "('radius_periapsis~STAHR_Rocket@Earth', 'Kilo-Meter')\n",
      "('radius~STAHR_Rocket@Earth', 'Kilo-Meter')\n",
      "('reynolds_number~STAHR_Rocket', nan)\n",
      "('right_ascension~STAHR_Rocket#J2000@Earth', 'Degree')\n",
      "('right_ascension~STAHR_Rocket#TOD~Earth@Earth', 'Degree')\n",
      "('roll_rate~STAHR_Rocket#J2000', 'Degree/Second')\n",
      "('roll_rate~STAHR_Rocket#LO~STAHR_Rocket:Earth', 'Degree/Second')\n",
      "('roll_rate~STAHR_Rocket#L~STAHR_Rocket:Earth', 'Degree/Second')\n",
      "('ROLL~Esrange#L~Esrange:Earth', 'Radian')\n",
      "('ROLL~STAHR_Rocket', 'Radian')\n",
      "('roll~STAHR_Rocket#J2000', 'Degree')\n",
      "('roll~STAHR_Rocket#LD~STAHR_Rocket:Earth', 'Degree')\n",
      "('roll~STAHR_Rocket#LO~STAHR_Rocket:Earth', 'Degree')\n",
      "('roll~STAHR_Rocket#L~STAHR_Rocket:Earth', 'Degree')\n",
      "('roll~STAHR_Rocket#N~STAHR_Rocket', 'Degree')\n",
      "('roll~STAHR_Rocket#TOD~Earth', 'Degree')\n",
      "('R~STAHR_Rocket', 'Meter')\n",
      "('semimajor~STAHR_Rocket@Earth', 'Kilo-Meter')\n",
      "('sideslip_rate~STAHR_Rocket#A~STAHR_Rocket:Earth', 'Degree/Second')\n",
      "('sideslip~STAHR_Rocket#A~STAHR_Rocket:Earth', 'Degree')\n",
      "('side_force~STAHR_Rocket', 'Kilo-Newton')\n",
      "('SIDE_SLIP_ANGLE~Esrange#A~Esrange:Earth', 'Radian')\n",
      "('SIDE_SLIP_ANGLE~STAHR_Rocket#A~STAHR_Rocket:Earth', 'Radian')\n",
      "('solar_beta_angle~STAHR_Rocket#PF~STAHR_Rocket:Earth', 'Degree')\n",
      "('sonic_velocity~STAHR_Rocket', 'Meter/Second')\n",
      "('static_stability_x~STAHR_Rocket#B~STAHR_Rocket@STAHR_Rocket', 'Meter')\n",
      "('thrust_to_ew~STAHR_Rocket', nan)\n",
      "('thrust_vacuum~IB3:STAHR_Rocket', 'Kilo-Newton')\n",
      "('thrust_x~STAHR_Rocket#J2000', 'Kilo-Newton')\n",
      "('thrust_y~STAHR_Rocket#J2000', 'Kilo-Newton')\n",
      "('thrust_z~STAHR_Rocket#J2000', 'Kilo-Newton')\n",
      "('thrust~IB3:STAHR_Rocket', 'Kilo-Newton')\n",
      "('thrust~STAHR_Rocket', 'Kilo-Newton')\n",
      "('Time', 'Second')\n",
      "('torque_x~IB3:STAHR_Rocket#B~STAHR_Rocket@STAHR_Rocket', 'Newton*Meter')\n",
      "('torque_x~STAHR_Rocket#B~STAHR_Rocket', 'Newton*Meter')\n",
      "('torque_y~IB3:STAHR_Rocket#B~STAHR_Rocket@STAHR_Rocket', 'Newton*Meter')\n",
      "('torque_y~STAHR_Rocket#B~STAHR_Rocket', 'Newton*Meter')\n",
      "('torque_z~IB3:STAHR_Rocket#B~STAHR_Rocket@STAHR_Rocket', 'Newton*Meter')\n",
      "('torque_z~STAHR_Rocket#B~STAHR_Rocket', 'Newton*Meter')\n",
      "('total_angle_of_attack_slope_normal_coefficient~STAHR_Rocket#TA~STAHR_Rocket@STAHR_Rocket', 'None/Degree')\n",
      "('total_angle_of_attack~STAHR_Rocket#A~STAHR_Rocket:Earth', 'Degree')\n",
      "('total_lift~STAHR_Rocket', 'Kilo-Newton')\n",
      "('total_solar_irradiance_at_earth~STAHR_Rocket', 'Watt/Meter**2')\n",
      "('TRAJ_SMOOTHNESS~STAHR_Rocket', 'Radian^2/Second')\n",
      "('true_anomaly~STAHR_Rocket@Earth', 'Degree')\n",
      "('u_length~STAHR_Rocket#LO~STAHR_Rocket:Earth', nan)\n",
      "('u_length~STAHR_Rocket#L~STAHR_Rocket:Earth', nan)\n",
      "('u_n~STAHR_Rocket#LO~STAHR_Rocket:Earth', nan)\n",
      "('u_r~STAHR_Rocket#LO~STAHR_Rocket:Earth', nan)\n",
      "('u_t~STAHR_Rocket#LO~STAHR_Rocket:Earth', nan)\n",
      "('u_x~STAHR_Rocket#L~STAHR_Rocket:Earth', nan)\n",
      "('u_y~STAHR_Rocket#L~STAHR_Rocket:Earth', nan)\n",
      "('u_z~STAHR_Rocket#L~STAHR_Rocket:Earth', nan)\n",
      "('velocity_east~STAHR_Rocket#L~STAHR_Rocket:Earth@STAHR_Rocket', 'Kilo-Meter/Second')\n",
      "('velocity_north~STAHR_Rocket#L~STAHR_Rocket:Earth@STAHR_Rocket', 'Kilo-Meter/Second')\n",
      "('velocity_rel_apoapsis~STAHR_Rocket@Earth', 'Kilo-Meter/Second')\n",
      "('velocity_rel_east~STAHR_Rocket#L~STAHR_Rocket:Earth@STAHR_Rocket', 'Kilo-Meter/Second')\n",
      "('velocity_rel_periapsis~STAHR_Rocket@Earth', 'Kilo-Meter/Second')\n",
      "('velocity_r~STAHR_Rocket#L~STAHR_Rocket:Earth@STAHR_Rocket', 'Kilo-Meter/Second')\n",
      "('VI_EAST~STAHR_Rocket', 'Meter/Second')\n",
      "('VI_NORTH~STAHR_Rocket', 'Meter/Second')\n",
      "('VI_RADIAL~STAHR_Rocket', 'Meter/Second')\n",
      "('vload_lift~STAHR_Rocket', nan)\n",
      "('vx~STAHR_Rocket#J2000@Earth', 'Kilo-Meter/Second')\n",
      "('vx~STAHR_Rocket#TOD~Earth@Earth', 'Kilo-Meter/Second')\n",
      "('vy~STAHR_Rocket#J2000@Earth', 'Kilo-Meter/Second')\n",
      "('vy~STAHR_Rocket#TOD~Earth@Earth', 'Kilo-Meter/Second')\n",
      "('vz~STAHR_Rocket#J2000@Earth', 'Kilo-Meter/Second')\n",
      "('vz~STAHR_Rocket#TOD~Earth@Earth', 'Kilo-Meter/Second')\n",
      "('wind_gust_p~STAHR_Rocket#L~STAHR_Rocket:Earth@STAHR_Rocket', 'Degree/Second')\n",
      "('wind_gust_q~STAHR_Rocket#L~STAHR_Rocket:Earth@STAHR_Rocket', 'Degree/Second')\n",
      "('wind_gust_r~STAHR_Rocket#L~STAHR_Rocket:Earth@STAHR_Rocket', 'Degree/Second')\n",
      "('wind_velocity_east~STAHR_Rocket#L~STAHR_Rocket:Earth@STAHR_Rocket', 'Meter/Second')\n",
      "('wind_velocity_north~STAHR_Rocket#L~STAHR_Rocket:Earth@STAHR_Rocket', 'Meter/Second')\n",
      "('wind_velocity_r~STAHR_Rocket#L~STAHR_Rocket:Earth@STAHR_Rocket', 'Meter/Second')\n",
      "('x_offset_CoM~Esrange', 'Meter')\n",
      "('x_offset_CoM~Main_Stage:STAHR_Rocket', 'Meter')\n",
      "('x_offset_CoM~STAHR_Rocket', 'Meter')\n",
      "('x_offset_CoP~STAHR_Rocket', 'Meter')\n",
      "('x_offset~IB3:STAHR_Rocket', 'Meter')\n",
      "('x_offset~STAHR:STAHR_Rocket', 'Meter')\n",
      "('x~Earth#J2000@SSB', 'Kilo-Meter')\n",
      "('x~STAHR_Rocket#J2000@Earth', 'Kilo-Meter')\n",
      "('x~STAHR_Rocket#TOD~Earth@Earth', 'Kilo-Meter')\n",
      "('x~Sun#L~STAHR_Rocket:Earth@STAHR_Rocket', 'Kilo-Meter')\n",
      "('yaw_rate~STAHR_Rocket#J2000', 'Degree/Second')\n",
      "('yaw_rate~STAHR_Rocket#LO~STAHR_Rocket:Earth', 'Degree/Second')\n",
      "('yaw_rate~STAHR_Rocket#L~STAHR_Rocket:Earth', 'Degree/Second')\n",
      "('YAW~Esrange#L~Esrange:Earth', 'Radian')\n",
      "('YAW~STAHR_Rocket', 'Radian')\n",
      "('yaw~STAHR_Rocket#J2000', 'Degree')\n",
      "('yaw~STAHR_Rocket#LD~STAHR_Rocket:Earth', 'Degree')\n",
      "('yaw~STAHR_Rocket#LO~STAHR_Rocket:Earth', 'Degree')\n",
      "('yaw~STAHR_Rocket#L~STAHR_Rocket:Earth', 'Degree')\n",
      "('yaw~STAHR_Rocket#N~STAHR_Rocket', 'Degree')\n",
      "('yaw~STAHR_Rocket#TOD~Earth', 'Degree')\n",
      "('y_offset_CoM~Esrange', 'Meter')\n",
      "('y_offset_CoM~Main_Stage:STAHR_Rocket', 'Meter')\n",
      "('y_offset_CoM~STAHR_Rocket', 'Meter')\n",
      "('y_offset_CoP~STAHR_Rocket', 'Meter')\n",
      "('y_offset~IB3:STAHR_Rocket', 'Meter')\n",
      "('y_offset~STAHR:STAHR_Rocket', 'Meter')\n",
      "('y~Earth#J2000@SSB', 'Kilo-Meter')\n",
      "('y~STAHR_Rocket#J2000@Earth', 'Kilo-Meter')\n",
      "('y~STAHR_Rocket#TOD~Earth@Earth', 'Kilo-Meter')\n",
      "('y~Sun#L~STAHR_Rocket:Earth@STAHR_Rocket', 'Kilo-Meter')\n",
      "('z_offset_CoM~Esrange', 'Meter')\n",
      "('z_offset_CoM~Main_Stage:STAHR_Rocket', 'Meter')\n",
      "('z_offset_CoM~STAHR_Rocket', 'Meter')\n",
      "('z_offset_CoP~STAHR_Rocket', 'Meter')\n",
      "('z_offset~IB3:STAHR_Rocket', 'Meter')\n",
      "('z_offset~STAHR:STAHR_Rocket', 'Meter')\n",
      "('z~Earth#J2000@SSB', 'Kilo-Meter')\n",
      "('z~STAHR_Rocket#J2000@Earth', 'Kilo-Meter')\n",
      "('z~STAHR_Rocket#TOD~Earth@Earth', 'Kilo-Meter')\n",
      "('z~Sun#L~STAHR_Rocket:Earth@STAHR_Rocket', 'Kilo-Meter')\n",
      "('z~Sun#L~STAHR_Rocket:Earth@STAHR_Rocket.1', 'Kilo-Meter')\n"
     ]
    }
   ],
   "source": [
    "print('\\n'.join(map(str, zip(df.columns.values, df.loc[1]))))\n",
    "\n",
    "df = df.drop([0, 1], axis=0)\n",
    "df = df.astype(float)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2.66315457975832"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "max(df['mach~STAHR_Rocket'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2       67.885478\n",
       "3       67.885478\n",
       "4       67.885478\n",
       "5       67.885478\n",
       "6       67.885478\n",
       "          ...    \n",
       "1813    68.225985\n",
       "1814    68.225990\n",
       "1815    68.225996\n",
       "1816    68.226002\n",
       "1817    68.226002\n",
       "Name: latitude~STAHR_Rocket#PCPF~Earth@Earth, Length: 1816, dtype: float64"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['latitude~STAHR_Rocket#PCPF~Earth@Earth']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2       67.750938\n",
       "3       67.750938\n",
       "4       67.750938\n",
       "5       67.750938\n",
       "6       67.750938\n",
       "          ...    \n",
       "1813    68.093087\n",
       "1814    68.093093\n",
       "1815    68.093098\n",
       "1816    68.093104\n",
       "1817    68.093104\n",
       "Name: declination~STAHR_Rocket#PCPF~Earth@Earth, Length: 1816, dtype: float64"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['declination~STAHR_Rocket#PCPF~Earth@Earth']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2       21.079909\n",
       "3       21.079909\n",
       "4       21.079909\n",
       "5       21.079909\n",
       "6       21.079909\n",
       "          ...    \n",
       "1813    21.084484\n",
       "1814    21.084484\n",
       "1815    21.084485\n",
       "1816    21.084485\n",
       "1817    21.084485\n",
       "Name: longitude~STAHR_Rocket#PCPF~Earth@Earth, Length: 1816, dtype: float64"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['longitude~STAHR_Rocket#PCPF~Earth@Earth']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1f8fdb8c4d0>]"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df['altitude~STAHR_Rocket@Earth'] * 1000\n",
    "\n",
    "plt.plot(df['Time'], df['altitude~STAHR_Rocket@Earth'] * 1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "318.99999999906896"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.at[2, 'altitude~STAHR_Rocket@Earth'] * 1000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "\n",
    "from spatz.dataset import T1, T2, T3\n",
    "from math import pi\n",
    "\n",
    "# Rename the columns\n",
    "df = df.rename({\n",
    "    'acceleration_without_gravity_x~STAHR_Rocket#B~STAHR_Rocket@STAHR_Rocket': 'ax_B',\n",
    "    'acceleration_without_gravity_y~STAHR_Rocket#B~STAHR_Rocket@STAHR_Rocket': 'ay_B',\n",
    "    'acceleration_without_gravity_z~STAHR_Rocket#B~STAHR_Rocket@STAHR_Rocket': 'az_B',\n",
    "    'latitude~STAHR_Rocket#PCPF~Earth@Earth': 'latitude',\n",
    "    'longitude~STAHR_Rocket#PCPF~Earth@Earth': 'longitude',\n",
    "    'declination~STAHR_Rocket#PCPF~Earth@Earth': 'declination',\n",
    "    'altitude~STAHR_Rocket@Earth': 'altitude',\n",
    "    'pitch~STAHR_Rocket#L~STAHR_Rocket:Earth': 'pitch_l',\n",
    "    'yaw~STAHR_Rocket#L~STAHR_Rocket:Earth': 'yaw_l',\n",
    "    'roll~STAHR_Rocket#L~STAHR_Rocket:Earth': 'roll_l',\n",
    "    'atmos_pressure~STAHR_Rocket': 'atmos_pressure',\n",
    "    'atmos_temperature~STAHR_Rocket': 'atmos_temperature',\n",
    "    'sonic_velocity~STAHR_Rocket': 'sonic_velocity',\n",
    "    'OMEGA_X~STAHR_Rocket': 'OMEGA_X',\n",
    "    'OMEGA_Y~STAHR_Rocket': 'OMEGA_Y',\n",
    "    'OMEGA_Z~STAHR_Rocket': 'OMEGA_Z',\n",
    "    'drag~STAHR_Rocket': 'drag',\n",
    "    'flightpath_speed~STAHR_Rocket': 'flightpath_speed',\n",
    "    'mass_total~STAHR_Rocket': 'mass_total',\n",
    "    'mach~STAHR_Rocket': 'mach'\n",
    "}, axis=1)\n",
    "\n",
    "g = 9.81\n",
    "t0 = df.at[2, 'Time']\n",
    "\n",
    "vel = np.array([0, 0, 0], dtype='float64')\n",
    "pos = np.array([318.99999999906896, 0, 0], dtype='float64')\n",
    "time = t0\n",
    "\n",
    "init_latitude = df.at[2, 'latitude']\n",
    "init_longitude = df.at[2, 'longitude']\n",
    "\n",
    "t0 = df.at[2, 'Time']\n",
    "omega_E = (2*pi) / (24*60*60)\n",
    "\n",
    "altitudes = [318.99999999906896]\n",
    "velocities = [0]\n",
    "acc_total = [0]\n",
    "\n",
    "pitch, yaw, roll = df.at[2, 'pitch_l'] * pi / 180, df.at[2, 'yaw_l'] * pi / 180, df.at[2, 'roll_l'] * pi / 180\n",
    "decl = df.at[2, 'declination']\n",
    "\n",
    "B_to_L = T1(yaw) @ T2(pi / 2 - pitch) @ T1(-roll)\n",
    "L_to_G = np.linalg.inv(T2(-decl) @ T3(init_longitude + omega_E * t0))\n",
    "G_to_LF = T2(-pi/2 - init_latitude) @ T3(init_longitude)\n",
    "L_to_LF = G_to_LF @ L_to_G\n",
    "\n",
    "x_FL, y_FL, z_FL = [8.20214666930979e-13], [-1.51393643837011e-12], [-2.40063988328838e-12]\n",
    "vx_FL, vy_FL, vz_FL = [0], [0], [0]\n",
    "\n",
    "for i in range(3, len(df)+2):\n",
    "    dt = df.at[i, 'Time'] - df.at[i-1, 'Time']\n",
    "\n",
    "    # Fetch values for the current time step.\n",
    "    acc = np.array([df.at[i, 'ax_B'], df.at[i, 'ay_B'], df.at[i, 'az_B']])\n",
    "    pitch, yaw, roll = df.at[i, 'pitch_l'] * pi / 180, df.at[i, 'yaw_l'] * pi / 180, df.at[i, 'roll_l'] * pi / 180\n",
    "    decl = df.at[i, 'declination']\n",
    "    long = df.at[i, 'longitude']\n",
    "\n",
    "    B_to_L = T1(yaw) @ T2(pi / 2 - pitch) @ T1(-roll)\n",
    "    L_to_G = np.linalg.inv(T2(-decl) @ T3(long + omega_E * t0))\n",
    "    G_to_LF = T2(-pi/2 - init_latitude) @ T3(init_longitude)\n",
    "    L_to_LF = G_to_LF @ L_to_G\n",
    "\n",
    "    acc_L = B_to_L @ acc + np.array([-g, 0, 0])\n",
    "    pos += dt * vel + 1/2*dt**2 * acc_L\n",
    "    vel += dt * acc_L\n",
    "\n",
    "    pos_LF = -(L_to_LF @ pos)\n",
    "    vel_LF = -(L_to_LF @ vel)\n",
    "\n",
    "    x_FL.append(pos_LF[0])\n",
    "    y_FL.append(pos_LF[1])\n",
    "    z_FL.append(pos_LF[2])\n",
    "\n",
    "    vx_FL.append(vel_LF[0])\n",
    "    vy_FL.append(vel_LF[1])\n",
    "    vz_FL.append(vel_LF[2])\n",
    "\n",
    "    altitudes.append(pos[0])\n",
    "    velocities.append(np.sqrt(vel[0]**2 + vel[1]**2 + vel[2]**2))\n",
    "    acc_total.append(np.sqrt(acc[0]**2 + acc[1]**2 + acc[2]**2))\n",
    "\n",
    "plt.plot(df['Time'], df['altitude'] * 1000, label='true')\n",
    "\n",
    "plt.plot(df['Time'], altitudes, label='integrated')\n",
    "plt.legend()\n",
    "plt.show()\n",
    "\n",
    "plt.plot(df['Time'], velocities, label='velocity')\n",
    "plt.legend()\n",
    "plt.show()\n",
    "\n",
    "plt.plot(df['Time'], np.array(velocities) / 340, label='mach')\n",
    "plt.legend()\n",
    "plt.show()\n",
    "\n",
    "plt.plot(df['Time'], x_FL)\n",
    "plt.show()\n",
    "\n",
    "plt.plot(df['Time'], y_FL)\n",
    "plt.show()\n",
    "\n",
    "plt.plot(df['Time'], z_FL)\n",
    "plt.show()\n",
    "\n",
    "plt.plot(df['Time'], vx_FL)\n",
    "plt.show()\n",
    "\n",
    "plt.plot(df['Time'], vy_FL)\n",
    "plt.show()\n",
    "\n",
    "plt.plot(df['Time'], vz_FL)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "6.334810700868975"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "max(np.array(acc_total) / g)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2       319.000000\n",
       "3       319.000000\n",
       "4       319.000000\n",
       "5       319.000000\n",
       "6       319.000000\n",
       "           ...    \n",
       "1813      9.461549\n",
       "1814      6.304071\n",
       "1815      3.147342\n",
       "1816     -0.008641\n",
       "1817     -0.008641\n",
       "Name: altitude, Length: 1816, dtype: float64"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['altitude'] * 1000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "39697.291405349"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "max(df['altitude'] * 1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2         0.000000\n",
       "3         0.025000\n",
       "4         0.050000\n",
       "5         0.050000\n",
       "6         0.050000\n",
       "           ...    \n",
       "1813    197.943024\n",
       "1814    197.950359\n",
       "1815    197.957695\n",
       "1816    197.965031\n",
       "1817    197.965031\n",
       "Name: Time, Length: 1816, dtype: float64"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['Time']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "df.insert(0, 'x_FL', np.array(x_FL) / 1000)\n",
    "df.insert(0, 'y_FL', np.array(y_FL) / 1000)\n",
    "df.insert(0, 'z_FL', np.array(z_FL) / 1000)\n",
    "\n",
    "df.insert(0, 'vx_FL', np.array(vx_FL) / 1000)\n",
    "df.insert(0, 'vy_FL', np.array(vy_FL) / 1000)\n",
    "df.insert(0, 'vz_FL', np.array(vz_FL) / 1000)\n",
    "\n",
    "df.insert(0, 'acc_total', np.array(acc_total))\n",
    "\n",
    "df_new = df[[\n",
    "    'Time',\n",
    "    'Phase',\n",
    "    'declination',\n",
    "    'longitude',\n",
    "    'latitude',\n",
    "    'altitude',\n",
    "    'x_FL',\n",
    "    'y_FL',\n",
    "    'z_FL',\n",
    "    'vx_FL',\n",
    "    'vy_FL',\n",
    "    'vz_FL',\n",
    "    'pitch_l',\n",
    "    'yaw_l',\n",
    "    'roll_l',\n",
    "    'atmos_pressure',\n",
    "    'atmos_temperature',\n",
    "    'sonic_velocity',\n",
    "    'mach',\n",
    "    'OMEGA_X',\n",
    "    'OMEGA_Y',\n",
    "    'OMEGA_Z',\n",
    "    'mass_total',\n",
    "    'flightpath_speed', \n",
    "    'acc_total', \n",
    "    'drag'\n",
    "]]\n",
    "\n",
    "descriptions = pd.DataFrame.from_dict({\n",
    "    'Time': ['Second'],\n",
    "    'Phase': [None],\n",
    "    'declination': ['Degree'],\n",
    "    'longitude': ['Degree'],\n",
    "    'latitude': ['Degree'],\n",
    "    'altitude': ['Kilo-Meter'],\n",
    "    'x_FL': ['Kilo-Meter'],\n",
    "    'y_FL': ['Kilo-Meter'],\n",
    "    'z_FL': ['Kilo-Meter'],\n",
    "    'vx_FL': ['Kilo-Meter / Second'],\n",
    "    'vy_FL': ['Kilo-Meter / Second'],\n",
    "    'vz_FL': ['Kilo-Meter / Second'],\n",
    "    'pitch_l': ['Degree'],\n",
    "    'yaw_l': ['Degree'],\n",
    "    'roll_l': ['Degree'],\n",
    "    'atmos_pressure': ['Pascal'],\n",
    "    'atmos_temperature': ['Kelvin'],\n",
    "    'sonic_velocity': ['Meter / Second'],\n",
    "    'mach': [None],\n",
    "    'OMEGA_X': ['Radian / Second'],\n",
    "    'OMEGA_Y': ['Radian / Second'],\n",
    "    'OMEGA_Z': ['Radian / Second'],\n",
    "    'mass_total': ['Mega-Gram'],\n",
    "    'flightpath_speed': ['Kilo-Meter / Second'], \n",
    "    'acc_total': ['Meter/Second**2'], \n",
    "    'drag': ['Kilo-Newton']\n",
    "}, dtype=str)\n",
    "\n",
    "df_new = pd.concat([descriptions, df_new], axis=0)\n",
    "df_new.to_csv('data/simulations/40km.txt', sep='\\t')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "'Time', yes\n",
    "\n",
    "'Phase', yes\n",
    "\n",
    "'declination', yes\n",
    "\n",
    "'longitude', yes\n",
    "\n",
    "'latitude', yes\n",
    "\n",
    "'altitude', yes\n",
    "\n",
    "'mach', yes\n",
    "\n",
    "'sonic_velocity', yes\n",
    "\n",
    "'x_FL', yes\n",
    "\n",
    "'y_FL', yes\n",
    "\n",
    "'z_FL', yes\n",
    "\n",
    "'vx_FL', yes\n",
    "\n",
    "'vy_FL', yes\n",
    "\n",
    "'vz_FL', yes\n",
    "\n",
    "'OMEGA_X', yes\n",
    "\n",
    "'OMEGA_Y', yes\n",
    "\n",
    "'OMEGA_Z', yes\n",
    "\n",
    "'pitch_l', yes\n",
    "\n",
    "'yaw_l', yes\n",
    "\n",
    "'roll_l', yes\n",
    "\n",
    "'flightpath_speed', yes\n",
    "\n",
    "'acc_total',\n",
    "\n",
    "'atmos_pressure', yes\n",
    "\n",
    "'atmos_temperature', yes\n",
    "\n",
    "'drag', yes\n",
    "\n",
    "'mass_total', yes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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