From 6197abd30f71de1feddb266eb20b325f0aa8522c Mon Sep 17 00:00:00 2001
From: Ciccarelli <ec01259@fvffw3gnq05p.home>
Date: Sat, 26 Aug 2023 12:40:01 +0100
Subject: [PATCH] Inizio ad aggiungere Deimos e fiixed pixels noise/accuracy
 definition

---
 .DS_Store                         | Bin 10244 -> 12292 bytes
 Analisys_With_Features.m          |  28 +++----
 CovarianceAnalysisParameters.m    |   2 +-
 Deimos_Pic.m                      | 100 +++++++++++++++++++++++++
 Mars_LimbRange.m                  |  13 +++-
 Observables_model_with_Features.m |   6 +-
 Observations_Generation.m         |   2 +-
 Observations_with_features.m      |  19 ++++-
 Radial_Along_Cross_Covariance.m   |   3 +-
 Results.m                         | 118 +++++++++++++++---------------
 YObs.mat                          | Bin 249970 -> 192600 bytes
 visible_features.m                |   5 +-
 12 files changed, 206 insertions(+), 90 deletions(-)
 create mode 100644 Deimos_Pic.m

diff --git a/.DS_Store b/.DS_Store
index a74eb23937f1a297326f4be205ecc327dd7de2c3..0546b8ed14131c54188822cc34de5acd427c4dc8 100644
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diff --git a/Analisys_With_Features.m b/Analisys_With_Features.m
index 138fa7f..169fdf3 100644
--- a/Analisys_With_Features.m
+++ b/Analisys_With_Features.m
@@ -41,8 +41,8 @@ clc
     data        = '2026-03-16 00:00:00 (UTC)';
     data        = cspice_str2et(data);
     day         = 86400;
-    pars.et0     = data;
-    [Ph,pars]    = Phobos_States_NewModel(data,pars);
+    pars.et0    = data;
+    [Ph,pars]   = Phobos_States_NewModel(data,pars);
 
 %   Covariance analysis parsameters
     [pars, units] = CovarianceAnalysisParameters(pars, units);
@@ -61,10 +61,10 @@ clc
     St0     = [MMX0; Ph0(1:4); Ph0(7:8); pars.I2; pars.bias];
     pars.X0_reference = [MMX0; Ph0; pars.I2; pars.bias];
     
-    % Est0.dx = zeros(size(St0,1),1);
-    % pars.flag_FILTERING = 0;
-    Est0.dx = St0.*randn(size(St0))*1e-6;
-    pars.flag_FILTERING = 1;
+    Est0.dx = zeros(size(St0,1),1);
+    pars.flag_FILTERING = 0;
+    % Est0.dx = St0.*randn(size(St0))*1e-6;
+    % pars.flag_FILTERING = 1;
     Est0.X  = St0+Est0.dx;
     Est0.P0 = pars.P0;
     Est0.t0 = data*units.tsf;
@@ -84,9 +84,9 @@ clc
     % [Est] = UKF_Tool(Est0,@Dynamics_MPHandMMX_Inertia,...
     %     @Cov_Dynamics_Good, @Observables_model_with_Features,...
     %     pars.R,YObs,pars,units,file_features);
-    % [Est] = UKF_Tool(Est0,@Dynamics_MPHandMMX_Inertia,...
-    %     @Sigma_dynamics_NoPhi, @Observables_model_with_Features,...
-    %     pars.R,YObs,pars,units,file_features);
+    [Est] = UKF_Tool(Est0,@Dynamics_MPHandMMX_Inertia,...
+        @Sigma_dynamics_NoPhi, @Observables_model_with_Features,...
+        pars.R,YObs,pars,units,file_features);
 
 %   Questo è l'UKF puro, funziona giocando con l'alpha! Ma non tutti gli
 %   stati sono visibilissimi. Vedo il libration ma non la sua velocita'
@@ -97,11 +97,11 @@ clc
     %     @Observables_model_with_Features,...
     %     pars.R,YObs,pars,units,file_features);
 
-    pars.alpha = 1e-1;    
-    pars.beta  = 2;
-    [Est] = UKF_features(Est0, @SigmaPoints_Dynamics_Good_NoPhi,...
-        @Observables_model_with_Features,...
-        pars.R,YObs,pars,units,file_features);
+    % pars.alpha = 1e-1;    
+    % pars.beta  = 2;
+    % [Est] = UKF_features(Est0, @SigmaPoints_Dynamics_Good_NoPhi,...
+    %     @Observables_model_with_Features,...
+    %     pars.R,YObs,pars,units,file_features);
 
     Results(Est, pars, units)
     
diff --git a/CovarianceAnalysisParameters.m b/CovarianceAnalysisParameters.m
index 31e7d6f..4c250fd 100644
--- a/CovarianceAnalysisParameters.m
+++ b/CovarianceAnalysisParameters.m
@@ -55,7 +55,7 @@ pars.FOV    = deg2rad(45);
 pixels      = 2472;
 
 pars.ObsNoise.camera    = pars.FOV/pixels;   % [rad/pixel]
-pars.ObsNoise.pixel     = .25;               % [n. pixel]
+pars.ObsNoise.pixel     = .2;               % [n. pixel]
 
 
 % Useful to adimensionalize the observables
diff --git a/Deimos_Pic.m b/Deimos_Pic.m
new file mode 100644
index 0000000..7f0da83
--- /dev/null
+++ b/Deimos_Pic.m
@@ -0,0 +1,100 @@
+function [Deimos_LOS, Deimos_Limb] = Deimos_Pic(MMX, Phobos, Deimos, Sun, pars, units)
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+% Y = Deimos_Pic(MMX, Phobos, Deimos, Sun, Phi, pars, units)
+%
+% Identify wether Deimos is in the FOV and how far is it
+%
+% Input:
+%     
+% MMX           MMX state vector in the MARSIAU reference frame
+% Phobos        Phobos state vector in the MARSIAU reference frame
+% Deimos        Deimos state vector in the MARSIAU reference frame
+% Sun           Sun state vector in the MARSIAU reference frame
+% pars          parameters structure
+% units         units structure
+% 
+% Output:
+% 
+% Limb_Range    Range derived from Mars limb size
+% 
+% 
+%
+% Author: E.Ciccarelli
+%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
+%   Rotation from MARSIAU to Phobos radial reference frame
+
+    i_feat  = Phobos(1:3)/norm(Phobos(1:3));
+    v       = Phobos(4:6)/norm(Phobos(4:6));
+    k       = cross(i_feat, v)/norm(cross(i_feat, v));
+    j       = cross(k, i_feat)/norm(cross(k, i_feat));
+    
+    R2rot   = [i_feat, j, k]';
+
+%   MMX-Phobos direction in the rotating reference frame
+    r_sb    = MMX(1:3) - Phobos(1:3);
+    r_sb_Ph = R2rot*r_sb;
+    R_sb_Ph = norm(r_sb_Ph);
+    I_sb    = r_sb_Ph/R_sb_Ph;
+
+%   MMX-Mars direction in the rotating reference frame
+    r_sM    = R2rot*MMX(1:3);
+    I_sM    = r_sM/norm(r_sM);
+
+%   Mars pole position in the Phobos rotating frame
+    Deimos_center   = Deimos(1:3) - Phobos(1:3);
+    R_ini           = [0, -1, 0; 1, 0, 0; 0, 0, 1];
+    Deimos_center   = R_ini*R2rot'*Deimos_center;
+    Deimos_pole     = [0; 15; 0]+Deimos(1:3) - Phobos(1:3);
+    R_ini           = [0, -1, 0; 1, 0, 0; 0, 0, 1];
+    Deimos_pole     = R_ini*R2rot'*Deimos_pole;
+
+%   Phobos pole position in the Phobos rotating frame
+    Phobos_pole     = [0; 0; -pars.Phobos.gamma];
+    Phobos_pole     = R_ini*Phobos_pole;
+    Phobos_centre   = zeros(3,1);
+    Phobos_centre   = R_ini*Phobos_centre;
+
+%   Sunlight direction in the rotating reference frame
+    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);
+    DC  = PM*[-Deimos_center; 1];
+    DC  = DC./repmat(DC(3),3,1);
+    DP  = PM*[-Deimos_pole; 1];
+    DP  = DP./repmat(DP(3),3,1);
+    
+    PhP = PM*[-Phobos_pole; 1];
+    PhP = PhP./repmat(PhP(3),3,1);
+    PhC = PM*[-Phobos_centre; 1];
+    PhC = PhC./repmat(PhC(3),3,1);
+
+    Phobos_range = norm(PhP - PhC);
+    Phobos_ellipsoid = @(x,y) (x-PhC(1))^2 + (y-PhC(2))^2 - Phobos_range^2;
+
+    if (any(DC<0))||(DC(1)>pars.cam.nPixX)||(DC(2)>pars.cam.nPixY)||...
+            (dot(r_sb_Ph, Deimos_center)>0)||(Phobos_ellipsoid(DC(1),DC(2))<0)
+        % if (Phobos_ellipsoid(DC(1),DC(2))<0)
+        %     Plotfeatures_Pic([DC, PhC], [DP, PhP], pars);
+        % end
+        Deimos_LOS  = [];
+        Deimos_Limb = [];
+    else
+        Deimos_LOS  = DP;
+        Limb_radius = DP - DC;
+        Deimos_Limb = sqrt(Limb_radius(1)^2 + Limb_radius(2)^2) + random('Normal',0, pars.ObsNoise.pixel);
+        Deimos_Limb = Deimos_Limb - rem(Deimos_Limb,pars.ObsNoise.pixel);
+        if Deimos_Limb<1.5
+            Deimos_Limb = [];
+        end
+        % Plotfeatures_Pic([DC, PhC], [DP, PhP], pars);
+    end
+
+
+end
\ No newline at end of file
diff --git a/Mars_LimbRange.m b/Mars_LimbRange.m
index 3962de9..9ed3711 100644
--- a/Mars_LimbRange.m
+++ b/Mars_LimbRange.m
@@ -73,15 +73,24 @@ function Limb_Range = Mars_LimbRange(MMX, Phobos, Sun, pars, units)
     PhC = PM*[-Phobos_centre; 1];
     PhC = PhC./repmat(PhC(3),3,1);
 
+    Phobos_range = norm(PhP - PhC);
+    Phobos_ellipsoid = @(x,y) (x-PhC(1))^2 + (y-PhC(2))^2 - Phobos_range^2;
+
     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)||...
             ((dot(I_sM,I_Sun)<0)&&((angle_MMXSun-pi/2)<pars.FOV))||...
-            (PhP(2)<MP(2)*1.1)
+            (Phobos_ellipsoid(MP(1),MP(2))<0)
+
+        % if (Phobos_ellipsoid(MP(1),MP(2))<0)
+        %     Plotfeatures_Pic([MC, PhC], [MP, PhP], pars);
+        % end
         Limb_Range = [];
+        
     else
         Limb_radius = MP - MC;
-        Limb_Range  = round(sqrt(Limb_radius(1)^2 + Limb_radius(2)^2) + random('Normal',0, pars.ObsNoise.pixel));
+        Limb_Range  = sqrt(Limb_radius(1)^2 + Limb_radius(2)^2) + random('Normal',0, pars.ObsNoise.pixel);
+        Limb_Range  = Limb_Range - rem(Limb_Range,pars.ObsNoise.pixel);
         % Plotfeatures_Pic([MC, PhC], [MP, PhP], pars);
     end
 
diff --git a/Observables_model_with_Features.m b/Observables_model_with_Features.m
index 085cfc2..85ed41a 100644
--- a/Observables_model_with_Features.m
+++ b/Observables_model_with_Features.m
@@ -61,10 +61,6 @@ function [G, Rm] = Observables_model_with_Features(et, X, St_ID_Range, St_ID_Rat
     r_Phobos    = pars.perifocal2MARSIAU*X(d+1)*[cos(X(d+3)); sin(X(d+3)); 0];
     
     switch size(X,1)
-        case 17
-            bias        = pars.bias;
-        case 18
-            bias        = X(16:end);
         case 20
             bias        = X(16:end);
         case 22
@@ -212,7 +208,7 @@ function [G, Rm] = Observables_model_with_Features(et, X, St_ID_Range, St_ID_Rat
        Phobos   = [r_Phobos.*units.lsf; v_Phobos.*units.vsf];
 
        Limb = Mars_LimbRange_model(X_MMX.*units.sfVec, Phobos, Sun, pars, units);
-       Limb = Limb + sqrt(bias(4)^2 + bias(5)^2);
+       Limb = Limb + (bias(4) + bias(5));
        
        Rm   = [Rm; O(8,8)];    
     end
diff --git a/Observations_Generation.m b/Observations_Generation.m
index 82af073..b884522 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       = 5;
+    Ndays       = 7;
     t           = Ndays*86400;
     date_end    = data+t;
 
diff --git a/Observations_with_features.m b/Observations_with_features.m
index 5b6a9b3..40143be 100644
--- a/Observations_with_features.m
+++ b/Observations_with_features.m
@@ -225,7 +225,6 @@ function YObs = Observations_with_features(date_0, date_end, file_features, pars
         else
             Y_LOS   = [];
             Y_pix   = [];
-            Limb = [];
         end
 
         if (rem(round(i-et0),interval_camera)==0)&&pars.flag_Limb
@@ -239,6 +238,17 @@ function YObs = Observations_with_features(date_0, date_end, file_features, pars
 
         end
 
+        if (rem(round(i-et0),interval_camera)==0)&&pars.flag_Limb
+            
+            Deimos  = cspice_spkezr('402', i, 'MARSIAU', 'none', 'MARS');
+%           Is Deimos in the picture? 
+            [Deimos_LOS, Deimos_Limb] = Deimos_Pic(MMX, Phobos, Deimos, Sun, pars, units);
+         
+            if ~isempty(Deimos_Limb)
+                    got_it = 1;
+            end
+
+        end
         
 
 %--------------------------------------------------------------------------
@@ -261,9 +271,10 @@ function YObs = Observations_with_features(date_0, date_end, file_features, pars
                 Obs.Rate = [];
             end 
    
-            Obs.Lidar   = Lidar;
-            Obs.Features= Y_pix;
-            Obs.Limb    = Limb;
+            Obs.Lidar       = Lidar;
+            Obs.Features    = Y_pix;
+            Obs.Limb        = Limb;
+            Obs.Deimos_Limb = Deimos_Limb;
             YObs   = [YObs; Obs];
         end
     end
diff --git a/Radial_Along_Cross_Covariance.m b/Radial_Along_Cross_Covariance.m
index d0e1ebd..e571b6e 100644
--- a/Radial_Along_Cross_Covariance.m
+++ b/Radial_Along_Cross_Covariance.m
@@ -31,8 +31,7 @@ function P_RAC = Radial_Along_Cross_Covariance(P_XYZ, X, pars, units)
     K = cross(I,v)/norm(cross(I,v));
     J = cross(K,I);
     
-    R_NOPh = [I, J, K]';
-    R_tot = R_NOPh;
+    R_tot = [I, J, K]';
 
 %   Covariance rotation
     P_RAC = R_tot*P_XYZ(1:3,1:3)*R_tot';
diff --git a/Results.m b/Results.m
index df0739c..24ceda8 100644
--- a/Results.m
+++ b/Results.m
@@ -531,65 +531,65 @@ function Results(Est, pars, units)
  %--------------------------------------------------------------------------
 
  
-    figure()
-    subplot(1,2,1)
-    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 $[hour]$','FontSize',30)
-    ylabel('$[km]$','FontSize',30)
-    title('Phobos position vector $3\sigma$ envelopes','Interpreter','latex','FontSize',30)
-    legend('$3\sigma_{x}$','$3\sigma_{y}$','$3\sigma_{z}$','$3 RMS$','Interpreter','latex','FontSize',26)
-    subplot(1,2,2)
-    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 $[hour]$','FontSize',30)
-    ylabel('$[km]$','FontSize',30)
-    title('Phobos velocity vector $3\sigma$ envelopes','Interpreter','latex','FontSize',30)
-    legend('$3\sigma_{\dot{x}}$','$3\sigma_{\dot{y}}$','$3\sigma_{\dot{z}}$','$3 RMS$','Interpreter','latex','FontSize',26)
-
-
-    figure()
-    subplot(1,3,1)
-    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 $[hour]$','FontSize',30)
-    ylabel('$[km]$','FontSize',30)
-    title('Phobos position vector $3\sigma$ envelopes','Interpreter','latex','FontSize',30)
-    legend('$3\sigma_{x}$','$3\sigma_{y}$','$3\sigma_{z}$','$3 RMS$','Interpreter','latex','FontSize',26)
-    subplot(1,3,2)
-    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 $[hour]$','FontSize',30)
-    ylabel('$[km]$','FontSize',30)
-    title('Phobos velocity vector $3\sigma$ envelopes','Interpreter','latex','FontSize',30)
-    legend('$3\sigma_{\dot{x}}$','$3\sigma_{\dot{y}}$','$3\sigma_{\dot{z}}$','$3 RMS$','Interpreter','latex','FontSize',26)
-    subplot(1,3,3)
-    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 $[hour]$','FontSize',30)
-    ylabel('$[km]$','FontSize',30)
-    title('MMX-Phobos relative distance $3\sigma$ envelopes','Interpreter','latex','FontSize',30)
-    legend('$3\sigma_{x}$','$3\sigma_{y}$','$3\sigma_{z}$','$3 RMS$','Interpreter','latex','FontSize',26)
+    % figure()
+    % subplot(1,2,1)
+    % 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 $[hour]$','FontSize',30)
+    % ylabel('$[km]$','FontSize',30)
+    % title('Phobos position vector $3\sigma$ envelopes','Interpreter','latex','FontSize',30)
+    % legend('$3\sigma_{x}$','$3\sigma_{y}$','$3\sigma_{z}$','$3 RMS$','Interpreter','latex','FontSize',26)
+    % subplot(1,2,2)
+    % 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 $[hour]$','FontSize',30)
+    % ylabel('$[km]$','FontSize',30)
+    % title('Phobos velocity vector $3\sigma$ envelopes','Interpreter','latex','FontSize',30)
+    % legend('$3\sigma_{\dot{x}}$','$3\sigma_{\dot{y}}$','$3\sigma_{\dot{z}}$','$3 RMS$','Interpreter','latex','FontSize',26)
+
+
+    % figure()
+    % subplot(1,3,1)
+    % 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 $[hour]$','FontSize',30)
+    % ylabel('$[km]$','FontSize',30)
+    % title('Phobos position vector $3\sigma$ envelopes','Interpreter','latex','FontSize',30)
+    % legend('$3\sigma_{x}$','$3\sigma_{y}$','$3\sigma_{z}$','$3 RMS$','Interpreter','latex','FontSize',26)
+    % subplot(1,3,2)
+    % 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 $[hour]$','FontSize',30)
+    % ylabel('$[km]$','FontSize',30)
+    % title('Phobos velocity vector $3\sigma$ envelopes','Interpreter','latex','FontSize',30)
+    % legend('$3\sigma_{\dot{x}}$','$3\sigma_{\dot{y}}$','$3\sigma_{\dot{z}}$','$3 RMS$','Interpreter','latex','FontSize',26)
+    % subplot(1,3,3)
+    % 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 $[hour]$','FontSize',30)
+    % ylabel('$[km]$','FontSize',30)
+    % title('MMX-Phobos relative distance $3\sigma$ envelopes','Interpreter','latex','FontSize',30)
+    % legend('$3\sigma_{x}$','$3\sigma_{y}$','$3\sigma_{z}$','$3 RMS$','Interpreter','latex','FontSize',26)
     
 
     figure()
diff --git a/YObs.mat b/YObs.mat
index c67140bb505a949fa5225d3554934badb37ebc20..8098dfb4c16bbb7ab3ecd00428b7a4c8f51bed77 100644
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Bo2&o;

diff --git a/visible_features.m b/visible_features.m
index 2119bc4..3df1891 100644
--- a/visible_features.m
+++ b/visible_features.m
@@ -115,8 +115,9 @@ function [Y_LOS, Y_pix] = visible_features(MMX, Phobos, Sun, Phi, file_features,
             [~, ~, PM]  = ProjMatrix(-r_sb_Ph, pars, units);
             pix_feat    = PM*[-candidate; 1];
             pix_feat    = pix_feat./repmat(pix_feat(3),3,1);
-            Y_pix = [[(pix_feat(1:2)+ [random('Normal',0, pars.ObsNoise.pixel);...
-                random('Normal',0, pars.ObsNoise.pixel)]); point_in_light(end,n)], Y_pix];
+            pix_feat    = [(pix_feat(1:2)+ [random('Normal',0, pars.ObsNoise.pixel);...
+                random('Normal',0, pars.ObsNoise.pixel)]); point_in_light(end,n)];
+            Y_pix = [pix_feat - rem(pix_feat,pars.ObsNoise.pixel), Y_pix];
 
         end
     end
-- 
GitLab