grid = key=master,group=grid,depth=1,widthcm=13.5,heightcm=6.5, \ gcell=10,xmarg=1,ymarg=1,shrink=false,rounded=true, \ border_thickness=very thin,border_color=menublue, \ gback_color=gray99,gline_thickness=thin,gline_color=gray96 circle = key=range,group=contact,depth=2,x=0,y=0,radius=25, \ line_color=darkblue,fill_color=invisible,line_style=solid, \ line_thickness=ultra thin panel = key=panel1,group=panel_1,depth=11,x=35,y=20.5,widthcm=7.5, \ heightcm=1,rounded=true,border_thickness=thin, \ border_color=gray40,panel_color=beige panel = key=panel3_speed_eps,group=panels,depth=12,x=42,y=-33.5, \ widthcm=5.6,heightcm=2.1,rounded=true,border_thickness=thin, \ border_color=gray35,panel_color=beige panel = key=panel2_theta_eps,group=panels,depth=12,x=42,y=-5, \ widthcm=5.6,heightcm=1.8,rounded=true,border_thickness=thin, \ border_color=gray35,panel_color=beige label = key=macro1,group=panel_1,depth=81,label=macro:macro1_init_pos, \ label_color=black,label_size=scriptsize,x=74,y=26 label = key=macro2,group=panel_2,depth=82,label=macro:macro2_theta_eps, \ label_color=black,label_size=scriptsize,x=72,y=5 label = key=macro3,group=panel_3,depth=82,label=macro:macro3_speed_eps, \ label_color=black,label_size=scriptsize,x=72,y=-22.5 \begin{macro}[macro3_speed_eps][macros] $\begin{aligned} v^{os}_{\epsilon} &= v^{os}_{cnh} - v_{cn} \\ v^{os}_{\epsilon} &= 2.72 - 1.2 = 1.52 m/s \\[0.06in] r_{\epsilon} &= r \cdot cos(\theta^{os}_{\epsilon} - relbng^{os}_{cn}) \\ r_{\epsilon} &= 250.32 \cdot cos(340 - 45) = 105.78m \end{aligned}$ \end{macro} label = key=ownship_label,group=ownship,depth=100,label=ownship, \ label_color=black,label_size=scriptsize,x=-3,y=-5 label = key=contact,group=contact,depth=100,label=contact, \ label_color=black,label_size=scriptsize,x=21,y=12 label = key=theta_epsilon,group=ownship,depth=100, \ label=$\theta^{os}_{\epsilon}$,label_color=black, \ label_size=scriptsize,x=-15,y=27 label = key=contact_hdg_spd,group=contact,depth=100, \ label={$\theta_{cn}, v_{cn}$},label_color=black, \ label_size=scriptsize,x=6,y=28 label = key=ownship_hdg_spd,group=ownship,depth=100, \ label={$\theta_{os}, v_{os}$},label_color=black, \ label_size=scriptsize,x=-14,y=5 label = key=range_eps,group=contact,depth=100,label={$r_\epsilon$}, \ label_color=black,label_size=scriptsize,x=4,y=8.5 vessel = key=ownship,group=ownship,depth=100,x=0,y=0,hdg=315, \ body_type=,length=5,wid_mbody=2.5,wid_stern=1.357, \ pct_mbody=0.5,line_color=black,line_thickness=ultra thin, \ fill_color=empty frame = key=framekey,group=frame,depth=100,xl=-26,xh=115,yl=-34,yh=31 swarmpath = key=,group=,depth=100,begtime=0,endtime=0,nowtime=0 \begin{macro}[macro1_init_pos][macros] $\begin{aligned} x_{os} &= 0, & y_{os} &=0, & \theta_{os} &=315^{\circ}, & v_{os} &= 3.0m/s \\ x_{cn} &= 177, & y_{cn} &=177, & \theta_{cn} &=340^{\circ}, & v_{cn} &= 1.2m/s \end{aligned}$ \end{macro} \begin{macro}[macro2_theta_eps][macros] $\begin{aligned} \theta^{os}_{\epsilon} &= \theta_{cn} = 340^{\circ} \\[0.06in] v^{os}_{cnh} &= cos(\theta_{os} - \theta^{os}_{\epsilon} ) \cdot v_{os} \\ v^{os}_{cnh} &= cos(315 - 340) \cdot 3 .0 = 2.72 m/s \\ \end{aligned}$ \end{macro} line = key=panel2_3,group=arrows,depth=101,x1=65,y1=-5.2,x2=65, \ y2=-10.2,line_color=black,line_style=solid,line_thickness=thick, \ endtype2=arrow line = key=panel1_2,group=arrows,depth=101,x1=65,y1=20.3,x2=65,y2=15, \ line_color=black,line_style=solid,line_thickness=thick, \ endtype2=arrow vessel = key=contact,group=contact,depth=900,x=17.68,y=17.68,hdg=340, \ body_type=kayak,length=5,wid_mbody=2.614,wid_stern=1.358, \ pct_mbody=0.5,line_color=black,line_thickness=ultra thin, \ fill_color=beige point = key=bogus_right,group=bogus,depth=904,x=110,y=0, \ point_size=0.001,point_color=white point = key=bogus_right_bottom,group=bogus,depth=904,x=90,y=-20, \ point_size=0.001,point_color=white point = key=ship_ctr_contact,group=contact,depth=904,x=17.677,y=17.677, \ point_size=0.02,point_color=black point = key=ship_ctr_ownship,group=ownship,depth=904,x=0,y=0, \ point_size=0.02,point_color=black line = key=range_eps,group=contact,depth=920,x1=4,y1=2,x2=0.58, \ y2=11.397,line_color=gray25,line_style=solid, \ line_thickness=very thin,endtype1=flat,endtype2=flat line = key=range_line,group=ownship_contact,depth=920,x1=0,y1=0, \ x2=17.678,y2=17.678,line_color=gray25,line_style=dotted, \ line_thickness=thin line = key=contact_heading,group=contact,depth=920,x1=17.677,y1=17.677, \ x2=14.257,y2=27.074,line_color=gray25,line_style=solid, \ line_thickness=thin,endtype2=arrow line = key=contact_trail,group=contact,depth=920,x1=17.68,y1=17.677, \ x2=-10.511,y2=7.416,line_color=gray50,line_style=dotted, \ line_thickness=thin line = key=theta_epsilon,group=ownship_contact,depth=920,x1=0,y1=0, \ x2=-10.261,y2=28.191,line_color=gray60,line_style=solid, \ line_thickness=thin,endtype2=arrow line = key=ownship_heading,group=ownship,depth=920,x1=0,y1=0,x2=-7.071, \ y2=7.071,line_color=gray25,line_style=solid,line_thickness=thin, \ endtype2=arrow