1 /***************************************************************************
5 ----------------------------------------------------------------------------
7 FUNCTION: Atmospheric and auxilary relationships for LaRCSim EOM
9 ----------------------------------------------------------------------------
11 MODULE STATUS: developmental
13 ----------------------------------------------------------------------------
15 GENEALOGY: Created 9208026 as part of C-castle simulation project.
17 ----------------------------------------------------------------------------
19 DESIGNED BY: B. Jackson
23 MAINTAINED BY: B. Jackson
25 ----------------------------------------------------------------------------
31 931006 Moved calculations of auxiliary accelerations from here
32 to ls_accel.c and corrected minus sign in front of A_Y_Pilot
33 contribution from Q_body*P_body*D_X_pilot term. EBJ
34 931014 Changed calculation of Alpha from atan to atan2 so sign is correct.
36 931220 Added calculations for static and total temperatures & pressures,
37 as well as dynamic and impact pressures and calibrated airspeed.
39 940111 Changed #included header files from old "ls_eom.h" to newer
40 "ls_types.h", "ls_constants.h" and "ls_generic.h". EBJ
42 950207 Changed use of "abs" to "fabs" in calculation of signU. EBJ
44 950228 Fixed bug in calculation of beta_dot. EBJ
46 CURRENT RCS HEADER INFO:
50 Revision 1.1 1999/04/05 21:32:45 curt
53 Revision 1.4 1998/08/24 20:09:26 curt
54 Code optimization tweaks from Norman Vine.
56 Revision 1.3 1998/08/06 12:46:38 curt
59 Revision 1.2 1998/01/19 18:40:24 curt
60 Tons of little changes to clean up the code and to remove fatal errors
61 when building with the c++ compiler.
63 Revision 1.1 1997/05/29 00:09:54 curt
64 Initial Flight Gear revision.
66 * Revision 1.12 1995/02/28 17:57:16 bjax
67 * Corrected calculation of beta_dot. EBJ
69 * Revision 1.11 1995/02/07 21:09:47 bjax
70 * Corrected calculation of "signU"; was using divide by
71 * abs(), which returns an integer; now using fabs(), which
72 * returns a double. EBJ
74 * Revision 1.10 1994/05/10 20:09:42 bjax
75 * Fixed a major problem with dx_pilot_from_cg, etc. not being calculated locally.
77 * Revision 1.9 1994/01/11 18:44:33 bjax
78 * Changed header files to use ls_types, ls_constants, and ls_generic.
80 * Revision 1.8 1993/12/21 14:36:33 bjax
81 * Added calcs of pressures, temps and calibrated airspeeds.
83 * Revision 1.7 1993/10/14 11:25:38 bjax
84 * Changed calculation of Alpha to use 'atan2' instead of 'atan' so alphas
85 * larger than +/- 90 degrees are calculated correctly. EBJ
87 * Revision 1.6 1993/10/07 18:45:56 bjax
88 * A little cleanup; no significant changes. EBJ
90 * Revision 1.5 1993/10/07 18:42:22 bjax
91 * Moved calculations of auxiliary accelerations here from ls_aux, and
92 * corrected sign on Q_body*P_body*d_x_pilot term of A_Y_pilot calc. EBJ
94 * Revision 1.4 1993/07/16 18:28:58 bjax
95 * Changed call from atmos_62 to ls_atmos. EBJ
97 * Revision 1.3 1993/06/02 15:02:42 bjax
98 * Changed call to geodesy calcs from ls_geodesy to ls_geoc_to_geod.
100 * Revision 1.1 92/12/30 13:17:39 bjax
105 ----------------------------------------------------------------------------
107 REFERENCES: [ 1] Shapiro, Ascher H.: "The Dynamics and Thermodynamics
108 of Compressible Fluid Flow", Volume I, The Ronald
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115 ----------------------------------------------------------------------------
119 ----------------------------------------------------------------------------
123 ----------------------------------------------------------------------------
127 --------------------------------------------------------------------------*/
128 #include "ls_types.h"
129 #include "ls_constants.h"
130 #include "ls_generic.h"
134 #include "atmos_62.h"
135 #include "ls_geodesy.h"
136 #include "ls_gravity.h"
141 void ls_aux( void ) {
143 SCALAR dx_pilot_from_cg, dy_pilot_from_cg, dz_pilot_from_cg;
144 /* SCALAR inv_Mass; */
145 SCALAR v_XZ_plane_2, signU, v_tangential;
146 /* SCALAR inv_radius_ratio; */
147 SCALAR cos_rwy_hdg, sin_rwy_hdg;
148 SCALAR mach2, temp_ratio, pres_ratio;
151 /* update geodetic position */
153 ls_geoc_to_geod( Lat_geocentric, Radius_to_vehicle,
154 &Latitude, &Altitude, &Sea_level_radius );
155 Longitude = Lon_geocentric - Earth_position_angle;
157 /* Calculate body axis velocities */
159 /* Form relative velocity vector */
161 V_north_rel_ground = V_north;
162 V_east_rel_ground = V_east
163 - OMEGA_EARTH*Sea_level_radius*cos( Lat_geocentric );
164 V_down_rel_ground = V_down;
166 V_north_rel_airmass = V_north_rel_ground - V_north_airmass;
167 V_east_rel_airmass = V_east_rel_ground - V_east_airmass;
168 V_down_rel_airmass = V_down_rel_ground - V_down_airmass;
170 U_body = T_local_to_body_11*V_north_rel_airmass
171 + T_local_to_body_12*V_east_rel_airmass
172 + T_local_to_body_13*V_down_rel_airmass + U_gust;
173 V_body = T_local_to_body_21*V_north_rel_airmass
174 + T_local_to_body_22*V_east_rel_airmass
175 + T_local_to_body_23*V_down_rel_airmass + V_gust;
176 W_body = T_local_to_body_31*V_north_rel_airmass
177 + T_local_to_body_32*V_east_rel_airmass
178 + T_local_to_body_33*V_down_rel_airmass + W_gust;
180 V_rel_wind = sqrt(U_body*U_body + V_body*V_body + W_body*W_body);
183 /* Calculate alpha and beta rates */
185 v_XZ_plane_2 = (U_body*U_body + W_body*W_body);
190 signU = U_body/fabs(U_body);
192 if( (v_XZ_plane_2 == 0) || (V_rel_wind == 0) )
199 Alpha_dot = (U_body*W_dot_body - W_body*U_dot_body)/
201 Beta_dot = (signU*v_XZ_plane_2*V_dot_body
202 - V_body*(U_body*U_dot_body + W_body*W_dot_body))
203 /(V_rel_wind*V_rel_wind*sqrt(v_XZ_plane_2));
206 /* Calculate flight path and other flight condition values */
211 Alpha = atan2( W_body, U_body );
213 Cos_alpha = cos(Alpha);
214 Sin_alpha = sin(Alpha);
219 Beta = asin( V_body/ V_rel_wind );
221 Cos_beta = cos(Beta);
222 Sin_beta = sin(Beta);
224 V_true_kts = V_rel_wind * V_TO_KNOTS;
226 V_ground_speed = sqrt(V_north_rel_ground*V_north_rel_ground
227 + V_east_rel_ground*V_east_rel_ground );
229 V_rel_ground = sqrt(V_ground_speed*V_ground_speed
230 + V_down_rel_ground*V_down_rel_ground );
232 v_tangential = sqrt(V_north*V_north + V_east*V_east);
234 V_inertial = sqrt(v_tangential*v_tangential + V_down*V_down);
236 if( (V_ground_speed == 0) && (V_down == 0) )
239 Gamma_vert_rad = atan2( -V_down, V_ground_speed );
241 if( (V_north_rel_ground == 0) && (V_east_rel_ground == 0) )
244 Gamma_horiz_rad = atan2( V_east_rel_ground, V_north_rel_ground );
246 if (Gamma_horiz_rad < 0)
247 Gamma_horiz_rad = Gamma_horiz_rad + 2*PI;
249 /* Calculate local gravity */
251 ls_gravity( Radius_to_vehicle, Lat_geocentric, &Gravity );
253 /* call function for (smoothed) density ratio, sonic velocity, and
256 ls_atmos(Altitude, &Sigma, &V_sound,
257 &Static_temperature, &Static_pressure);
259 Density = Sigma*SEA_LEVEL_DENSITY;
261 Mach_number = V_rel_wind / V_sound;
263 V_equiv = V_rel_wind*sqrt(Sigma);
265 V_equiv_kts = V_equiv*V_TO_KNOTS;
267 /* calculate temperature and pressure ratios (from [1]) */
269 mach2 = Mach_number*Mach_number;
270 temp_ratio = 1.0 + 0.2*mach2;
272 pres_ratio = pow( temp_ratio, tmp );
274 Total_temperature = temp_ratio*Static_temperature;
275 Total_pressure = pres_ratio*Static_pressure;
277 /* calculate impact and dynamic pressures */
279 Impact_pressure = Total_pressure - Static_pressure;
281 Dynamic_pressure = 0.5*Density*V_rel_wind*V_rel_wind;
283 /* calculate calibrated airspeed indication */
285 V_calibrated = sqrt( 2.0*Dynamic_pressure / SEA_LEVEL_DENSITY );
286 V_calibrated_kts = V_calibrated*V_TO_KNOTS;
288 Centrifugal_relief = 1 - v_tangential/(Radius_to_vehicle*Gravity);
290 /* Determine location in runway coordinates */
292 Radius_to_rwy = Sea_level_radius + Runway_altitude;
293 cos_rwy_hdg = cos(Runway_heading*DEG_TO_RAD);
294 sin_rwy_hdg = sin(Runway_heading*DEG_TO_RAD);
296 D_cg_north_of_rwy = Radius_to_rwy*(Latitude - Runway_latitude);
297 D_cg_east_of_rwy = Radius_to_rwy*cos(Runway_latitude)
298 *(Longitude - Runway_longitude);
299 D_cg_above_rwy = Radius_to_vehicle - Radius_to_rwy;
301 X_cg_rwy = D_cg_north_of_rwy*cos_rwy_hdg
302 + D_cg_east_of_rwy*sin_rwy_hdg;
303 Y_cg_rwy =-D_cg_north_of_rwy*sin_rwy_hdg
304 + D_cg_east_of_rwy*cos_rwy_hdg;
305 H_cg_rwy = D_cg_above_rwy;
307 dx_pilot_from_cg = Dx_pilot - Dx_cg;
308 dy_pilot_from_cg = Dy_pilot - Dy_cg;
309 dz_pilot_from_cg = Dz_pilot - Dz_cg;
311 D_pilot_north_of_rwy = D_cg_north_of_rwy
312 + T_local_to_body_11*dx_pilot_from_cg
313 + T_local_to_body_21*dy_pilot_from_cg
314 + T_local_to_body_31*dz_pilot_from_cg;
315 D_pilot_east_of_rwy = D_cg_east_of_rwy
316 + T_local_to_body_12*dx_pilot_from_cg
317 + T_local_to_body_22*dy_pilot_from_cg
318 + T_local_to_body_32*dz_pilot_from_cg;
319 D_pilot_above_rwy = D_cg_above_rwy
320 - T_local_to_body_13*dx_pilot_from_cg
321 - T_local_to_body_23*dy_pilot_from_cg
322 - T_local_to_body_33*dz_pilot_from_cg;
324 X_pilot_rwy = D_pilot_north_of_rwy*cos_rwy_hdg
325 + D_pilot_east_of_rwy*sin_rwy_hdg;
326 Y_pilot_rwy = -D_pilot_north_of_rwy*sin_rwy_hdg
327 + D_pilot_east_of_rwy*cos_rwy_hdg;
328 H_pilot_rwy = D_pilot_above_rwy;
330 /* Calculate Euler rates */
334 Sin_theta = sin(Theta);
335 Cos_theta = cos(Theta);
342 Psi_dot = (Q_total*Sin_phi + R_total*Cos_phi)/Cos_theta;
344 Theta_dot = Q_total*Cos_phi - R_total*Sin_phi;
345 Phi_dot = P_total + Psi_dot*Sin_theta;
350 /*************************************************************************/