From 0e4e73fd6a402f2754222ce6f91d7dc8487f5bec Mon Sep 17 00:00:00 2001 From: "Ciccarelli, Edoardo (PG/R - Comp Sci & Elec Eng)" <e.ciccarelli@surrey.ac.uk> Date: Mon, 10 Jul 2023 15:02:30 +0100 Subject: [PATCH] aggiunta covariance cartesian Phobos and relativa con MMX --- .DS_Store | Bin 8196 -> 8196 bytes Analisys_With_Features.m | 1 - CovarianceAnalysisParameters.m | 4 +- Mars_LimbRange.m | 6 ++- Mars_LimbRange_model.m | 12 ++---- Observations_Generation.m | 2 +- Phobos_cartesian_covariance.m | 58 +++++++++++++++++++++++++ Results.m | 75 +++++++++++++++++++++++++++++++++ YObs.mat | Bin 178559 -> 205084 bytes visible_features_model.m | 8 ++-- 10 files changed, 147 insertions(+), 19 deletions(-) create mode 100644 Phobos_cartesian_covariance.m diff --git a/.DS_Store b/.DS_Store index a085ba9f2eefe9ea7a47ac443a2bd50311b601f3..8c602a9effaeb0528f8725e0829ba377515ff5b1 100644 GIT binary patch delta 107 zcmZp1XmQw}DiAlL>J|e70}F#5LpnnyLrHGFi%U{YeiBfO1Bh3$>l}4Nl~2JdUyxxK UoSdIq0Mx_4wP3;KW`Rb20AZXNKL7v# delta 107 zcmZp1XmQw}DiAj{d@ln70}F#5LpnnyLrHGFi%U{YeiBfO1BeZm2_JPtl~2JdUyxxK UoSdIq0Mx_4HRr<SW`Rb208R!OL;wH) diff --git a/Analisys_With_Features.m b/Analisys_With_Features.m index ca462a3..66cba20 100644 --- a/Analisys_With_Features.m +++ b/Analisys_With_Features.m @@ -92,7 +92,6 @@ clc % @Observables_model_with_Features,... % par.R,YObs,par,units,file_features); - Results(Est, YObs, par, units) % save('./Results/QSOLb_9days_AllObs_alpha8e1.mat', 'Est') diff --git a/CovarianceAnalysisParameters.m b/CovarianceAnalysisParameters.m index ba9bc4b..a55c388 100644 --- a/CovarianceAnalysisParameters.m +++ b/CovarianceAnalysisParameters.m @@ -75,8 +75,8 @@ pars.R(8,8) = pars.ObsNoise.pixel^2; % Seconds between observation pars.interval_Range = 600e10; % s pars.interval_Range_rate = 600e10; % s -pars.interval_lidar = 600; % s -pars.interval_camera = 600; % s +pars.interval_lidar = 300; % s +pars.interval_camera = 300; % s pars.flag_Limb = 1; pars.flag_features = 1; diff --git a/Mars_LimbRange.m b/Mars_LimbRange.m index 5c20d67..ee039da 100644 --- a/Mars_LimbRange.m +++ b/Mars_LimbRange.m @@ -54,6 +54,7 @@ function Limb_Range = Mars_LimbRange(MMX, Phobos, Sun, pars, units) Sun = R2rot*Sun(1:3); I_Sun = Sun/norm(Sun); + angle_MMXSun = acos(dot(I_sM,I_Sun)); [~, ~, PM] = ProjMatrix(-r_sb_Ph, pars, units); MP = PM*[-Mars_pole; 1]; @@ -63,11 +64,12 @@ function Limb_Range = Mars_LimbRange(MMX, Phobos, Sun, pars, units) if ((any(MC<0))||(any(MP<0))||((MC(1)>pars.cam.nPixX))||... (MP(1)>pars.cam.nPixX)||(MC(2)>pars.cam.nPixY)||... - (MP(2)>pars.cam.nPixY))||(dot(r_sb_Ph, Mars_centre)>0) + (MP(2)>pars.cam.nPixY))||(dot(r_sb_Ph, Mars_centre)>0)||... + ((dot(I_sM,I_Sun)<0)&&((angle_MMXSun-pi/2)<pars.FOV)) Limb_Range = []; else Limb_radius = MP - MC; - Limb_Range = (sqrt(Limb_radius(1)^2 + Limb_radius(2)^2) + random('Normal',0, pars.ObsNoise.pixel)); + Limb_Range = round(sqrt(Limb_radius(1)^2 + Limb_radius(2)^2) + random('Normal',0, pars.ObsNoise.pixel)); % Plotfeatures_Pic(MC, MP, pars); end diff --git a/Mars_LimbRange_model.m b/Mars_LimbRange_model.m index 6704841..5ce7d30 100644 --- a/Mars_LimbRange_model.m +++ b/Mars_LimbRange_model.m @@ -61,16 +61,10 @@ function Limb_Range = Mars_LimbRange_model(MMX, Phobos, Sun, pars, units) MC = PM*[-Mars_centre; 1]; MC = MC./repmat(MC(3),3,1); - if ((any(MC<0))||(any(MP<0))||((MC(1)>pars.cam.nPixX))||... - (MP(1)>pars.cam.nPixX)||(MC(2)>pars.cam.nPixY)||... - (MP(2)>pars.cam.nPixY))||(dot(r_sb_Ph, Mars_centre)>0) - Limb_Range = []; - else - Limb_radius = MP - MC; - Limb_Range = sqrt(Limb_radius(1)^2 + Limb_radius(2)^2); - % Plotfeatures_Pic(MC, MP, pars); - end + Limb_radius = MP - MC; + Limb_Range = sqrt(Limb_radius(1)^2 + Limb_radius(2)^2); + % Plotfeatures_Pic(MC, MP, pars); diff --git a/Observations_Generation.m b/Observations_Generation.m index 20b7dbe..6311ab3 100644 --- a/Observations_Generation.m +++ b/Observations_Generation.m @@ -30,7 +30,7 @@ clc % Time of the analysis data = '2026-03-16 00:00:00 (UTC)'; data = cspice_str2et(data); - Ndays = 3.5; + Ndays = 2; t = Ndays*86400; date_end = data+t; diff --git a/Phobos_cartesian_covariance.m b/Phobos_cartesian_covariance.m new file mode 100644 index 0000000..828f72a --- /dev/null +++ b/Phobos_cartesian_covariance.m @@ -0,0 +1,58 @@ +function [P_PhXYZ, P_PhXYZ_MMX, P_rel, P_PhVXYZ, P_Vrel] = Phobos_cartesian_covariance(X_t, P_t, pars, ~) + + +% Partials delle cartesian coordinates wrt radial distance and true +% anomaly + +% Position + dXdR = pars.perifocal2MARSIAU*[cos(X_t(9,:)); sin(X_t(9,:)); zeros(size(X_t(9,:)))]; + dXdtheta = pars.perifocal2MARSIAU*[-sin(X_t(9,:)); cos(X_t(9,:)); zeros(size(X_t(9,:)))].*X_t(7,:); + +% Velocity + dVdR = zeros(3,size(X_t(9,:),2)); + dVdR_dot = zeros(3,size(X_t(9,:),2)); + dVdtheta = zeros(3,size(X_t(9,:),2)); + dVdtheta_dot = zeros(3,size(X_t(9,:),2)); + + for i=1:size(X_t(9,:),2) + + dVdR(:,i) = pars.perifocal2MARSIAU*cross([0;0;X_t(10,i)], [cos(X_t(9,i));sin(X_t(9,i));0]); + dVdR_dot(:,i) = pars.perifocal2MARSIAU*[cos(X_t(9,i)), sin(X_t(9,i)), 0; -sin(X_t(9,i)), cos(X_t(9,i)), 0; 0, 0, 1]'*([1; 0; 0]); + dVdtheta(:,i) = pars.perifocal2MARSIAU*([-sin(X_t(9,i)), cos(X_t(9,i)), 0; -cos(X_t(9,i)), -sin(X_t(9,i)), 0; 0, 0, 1]'*([X_t(8,i); 0; 0]) +... + cross([0; 0; X_t(10,i)], [cos(X_t(9,i)); sin(X_t(9,i)); 0])*X_t(7,i)); + dVdtheta_dot(:,i) = pars.perifocal2MARSIAU*cross([0; 0; 1], [X_t(7,i)*cos(X_t(9,i)); X_t(7,i)*sin(X_t(9,i)); 0]); + end + + +% Coomposizione della covariance P_PhXYZ + + P_PhXYZ = zeros(3,3,size(X_t(9,:),2)); + P_PhVXYZ = zeros(3,3,size(X_t(9,:),2)); + + for i=1:size(X_t(9,:),2) + P_PhXYZ(:,:,i) = [dXdR(:,i),dXdtheta(:,i)]*... + [P_t(7,7,i), P_t(7,9,i); P_t(9,7,i), P_t(9,9,i)]*... + [dXdR(:,i),dXdtheta(:,i)]'; + P_PhVXYZ(:,:,i) = [dVdR(:,i), dVdR_dot(:,i), dVdtheta(:,i), dVdtheta_dot(:,i)]*... + P_t(7:10,7:10,i)*[dVdR(:,i), dVdR_dot(:,i), dVdtheta(:,i), dVdtheta_dot(:,i)]'; + + end + +% Correlation covariance MMX-Phobos + P_PhXYZ_MMX = zeros(3,3,size(X_t(9,:),2)); + P_VPhXYZ_VMMX = zeros(3,3,size(X_t(9,:),2)); + + for i=1:size(X_t(9,:),2) + P_PhXYZ_MMX(:,:,i) = [dXdR(:,i),dXdtheta(:,i)]*[P_t(1:3,7,i), P_t(1:3,9,i)]'; + P_VPhXYZ_VMMX(:,:,i) = [dVdR(:,i), dVdR_dot(:,i), dVdtheta(:,i), dVdtheta_dot(:,i)]*P_t(4:6,7:10,i)'; + + end + +% Relative distance covariance between MMX and PHobos + P_rel = P_PhXYZ + P_t(1:3,1:3,:) - 2*P_PhXYZ_MMX; + +% Relative velocity covariance between MMX and PHobos + P_Vrel = P_PhVXYZ + P_t(4:6,4:6,:) - 2*P_VPhXYZ_VMMX; + + +end \ No newline at end of file diff --git a/Results.m b/Results.m index f22b8a3..3fb7238 100644 --- a/Results.m +++ b/Results.m @@ -186,6 +186,81 @@ function Results(Est, YObs_Full, pars, units) xlabel('time [hour]') ylabel('$\dot{\Phi}_{Ph}$ [rad/s]') + +% Phobos cartesian covaraiance + + [P_PhXYZ, ~, P_rel_MMXPh, P_PhVXYZ, P_Vrel_MMXPh] = Phobos_cartesian_covariance(Est.X_t, Est.P_t, pars, units); + + sqx_Ph = squeeze(P_PhXYZ(1,1,1:end-1)); + sqy_Ph = squeeze(P_PhXYZ(2,2,1:end-1)); + sqz_Ph = squeeze(P_PhXYZ(3,3,1:end-1)); + SQRT_X_Ph = 3*sqrt(sqx_Ph + sqy_Ph + sqz_Ph); + + sqx_VPh = squeeze(P_PhVXYZ(1,1,1:end-1)); + sqy_VPh = squeeze(P_PhVXYZ(2,2,1:end-1)); + sqz_VPh = squeeze(P_PhVXYZ(3,3,1:end-1)); + SQRT_V_Ph = 3*sqrt(sqx_VPh + sqy_VPh + sqz_VPh); + + sqx_rel = squeeze(P_rel_MMXPh(1,1,1:end-1)); + sqy_rel = squeeze(P_rel_MMXPh(2,2,1:end-1)); + sqz_rel = squeeze(P_rel_MMXPh(3,3,1:end-1)); + SQRT_X_rel = 3*sqrt(sqx_rel + sqy_rel + sqz_rel); + + sqx_Vrel = squeeze(P_Vrel_MMXPh(1,1,1:end-1)); + sqy_Vrel = squeeze(P_Vrel_MMXPh(2,2,1:end-1)); + sqz_Vrel = squeeze(P_Vrel_MMXPh(3,3,1:end-1)); + SQRT_V_rel = 3*sqrt(sqx_Vrel + sqy_Vrel + sqz_Vrel); + + + figure() + subplot(2,2,1) + semilogy(t_obs(1:end-1)/3600,3.*squeeze(real(sqrt(P_PhXYZ(1,1,1:end-1)))),'Color','b','LineWidth',1) + hold on; + grid on; + semilogy(t_obs(1:end-1)/3600,3*squeeze(real(sqrt(P_PhXYZ(2,2,1:end-1)))),'Color','r','LineWidth',1) + semilogy(t_obs(1:end-1)/3600,3*squeeze(real(sqrt(P_PhXYZ(3,3,1:end-1)))),'Color','g','LineWidth',1) + semilogy(t_obs(1:end-1)/3600,SQRT_X_Ph,'Color','k','LineWidth',2) + xlabel('time $[hour]$') + ylabel('$[km]$') + title('Phobos position vector $3\sigma$ envelopes','Interpreter','latex','FontSize',16) + legend('$3\sigma_{x}$','$3\sigma_{y}$','$3\sigma_{z}$','$3 RMS$','Interpreter','latex','FontSize',14) + subplot(2,2,2) + semilogy(t_obs(1:end-1)/3600,3.*squeeze(real(sqrt(P_PhVXYZ(1,1,1:end-1)))),'Color','b','LineWidth',1) + hold on; + grid on; + semilogy(t_obs(1:end-1)/3600,3*squeeze(real(sqrt(P_PhVXYZ(2,2,1:end-1)))),'Color','r','LineWidth',1) + semilogy(t_obs(1:end-1)/3600,3*squeeze(real(sqrt(P_PhVXYZ(3,3,1:end-1)))),'Color','g','LineWidth',1) + semilogy(t_obs(1:end-1)/3600,SQRT_V_Ph,'Color','k','LineWidth',2) + xlabel('time $[hour]$') + ylabel('$[km]$') + title('Phobos velocity vector $3\sigma$ envelopes','Interpreter','latex','FontSize',16) + legend('$3\sigma_{\dot{x}}$','$3\sigma_{\dot{y}}$','$3\sigma_{\dot{z}}$','$3 RMS$','Interpreter','latex','FontSize',14) + subplot(2,2,3) + semilogy(t_obs(1:end-1)/3600,3.*squeeze(real(sqrt(P_rel_MMXPh(1,1,1:end-1)))),'Color','b','LineWidth',1) + hold on; + grid on; + semilogy(t_obs(1:end-1)/3600,3*squeeze(real(sqrt(P_rel_MMXPh(2,2,1:end-1)))),'Color','r','LineWidth',1) + semilogy(t_obs(1:end-1)/3600,3*squeeze(real(sqrt(P_rel_MMXPh(3,3,1:end-1)))),'Color','g','LineWidth',1) + semilogy(t_obs(1:end-1)/3600,SQRT_X_rel,'Color','k','LineWidth',2) + xlabel('time $[hour]$') + ylabel('$[km]$') + title('MMX-Phobos relative distance $3\sigma$ envelopes','Interpreter','latex','FontSize',16) + legend('$3\sigma_{x}$','$3\sigma_{y}$','$3\sigma_{z}$','$3 RMS$','Interpreter','latex','FontSize',14) + subplot(2,2,4) + semilogy(t_obs(1:end-1)/3600,3.*squeeze(real(sqrt(P_Vrel_MMXPh(1,1,1:end-1)))),'Color','b','LineWidth',1) + hold on; + grid on; + semilogy(t_obs(1:end-1)/3600,3*squeeze(real(sqrt(P_Vrel_MMXPh(2,2,1:end-1)))),'Color','r','LineWidth',1) + semilogy(t_obs(1:end-1)/3600,3*squeeze(real(sqrt(P_Vrel_MMXPh(3,3,1:end-1)))),'Color','g','LineWidth',1) + semilogy(t_obs(1:end-1)/3600,SQRT_V_rel,'Color','k','LineWidth',2) + xlabel('time $[hour]$') + ylabel('$[km]$') + title('MMX-Phobos relative velocity $3\sigma$ envelopes','Interpreter','latex','FontSize',16) + legend('$3\sigma_{x}$','$3\sigma_{y}$','$3\sigma_{z}$','$3 RMS$','Interpreter','latex','FontSize',14) + + + + % Harmonics 3sigma Envelopes % place0 = size(Est.X,1)-pars.nCoeff-pars.nBias; diff --git a/YObs.mat 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zLnmCDeR)IwN|_CbaJ|tpbi!5nZPzJ#Z_6POt_J->CtMTQ__klux1oFgU}lQY|6}3g z^$$8G4xRAju@9~FF0!M0_-g)>s7!NeCM$d&OddMnyJG*oZL6Nz(>;8z`&3Imn$k#C z_*zUGI^mlbQ=_J(r0+oY@HJbY82Rd56ItOqVaCu2Ux}REyFOi~fBKzuCn%g@X9ro~ z`(oD6317y*ovIFLl$F2qYBxB{9XjEv@iaKOn2oY_13CHtV%?(ZmopgyH~}!1Y#9S5 z4Emx!%T71~0C_$M6t|uk1HJ?UNCXp?UmgSV1Vw-vx0hBQ10xE-VJ-^;02<K&!ncDT G1DOG5@zGZR diff --git a/visible_features_model.m b/visible_features_model.m index 61e0889..41bda2d 100644 --- a/visible_features_model.m +++ b/visible_features_model.m @@ -105,11 +105,11 @@ function [Y_LOS, Y_pix] = visible_features_model(MMX, Phobos, Sun, Phi, file_fea z_cam = cross(v, I)/norm(cross(v, I)); y_cam = cross(z_cam, I)/norm(cross(z_cam, I)); - angle_feat = acos(dot(I,-i_feat)); - angle_sun = acos(dot(I,r_PhSun)); + % angle_feat = acos(dot(I,-i_feat)); + % angle_sun = acos(dot(I,r_PhSun)); - if (angle_feat<pars.FOV)&&(angle_sun>pars.FOV)&&(dot(r_sb_Ph, point_in_light(1:3,n))>0) + % if (angle_feat<pars.FOV)&&(angle_sun>pars.FOV)&&(dot(r_sb_Ph, point_in_light(1:3,n))>0) k = 1; visible = [candidate, visible]; LOS_feat = [y_cam'; z_cam'] * r_sf/norm(r_sf) + [random('Normal',0, pars.ObsNoise.camera);... @@ -121,7 +121,7 @@ function [Y_LOS, Y_pix] = visible_features_model(MMX, Phobos, Sun, Phi, file_fea pix_feat = pix_feat./repmat(pix_feat(3),3,1); Y_pix = [[pix_feat(1:2); point_in_light(end,n)], Y_pix]; - end + % end end -- GitLab