\begin{table}%tC.1
\caption{\label{acc:tab}Accelerated Motions in HH~52, HH~53, and  HH~54 -- H$\alpha$, [\ion{S}{ii}] and H$_2$~-- parameters derived from the quadratic fit.}
\small%\centerline
 {
\begin{tabular}{cccccccc}
\hline\hline 
%&&&&&&& \\[-8pt]
Knot ID   & $P_{a}$($\chi^2/\nu$) &  PM     & Accelerated motion   & PA($\vec{v}$)    & PA($\vec{a}$)    & Filter  & Note\\
          &  $\times$100 (\%) &  ($\arcsec$~yr$^{-1}$) &  ($\arcsec$~yr$^{-2}$)  & ($\degr$)  & ($\degr$)  &      &  Reliable  \\
\hline 
HH~52~A5   & 0.10     &  0.071 $\pm$ 0.012   & 0.0067 $\pm$ 0.0013          &  110 $\pm$ 8 &  133 $\pm$ 11   &  [\ion{S}{ii}]  & no \\
             & 1.00$^a$ &  0.137 $\pm$ 0.086$^b$  & 0.018 $\pm$ 0.008$^b$     &  5 $\pm$ 33   &  340 $\pm$ 26   &  H$\alpha$ &  \\
HH~52~B1   & 0.05     &  0.132 $\pm$ 0.017      & 0.0226 $\pm$ 0.0018  &  116 $\pm$ 8    &  299 $\pm$ 5   &  [\ion{S}{ii}] & yes \\
             & 1.00$^a$ &  0.093 $\pm$ 0.068$^b$  & 0.02 $\pm$ 0.01$^b$  &  111 $\pm$ 20   &  285 $\pm$ 16   &  H$\alpha$ & \\
HH~52~B2   & 0.99     &  0.099 $\pm$ 0.021   & 0.0060 $\pm$ 0.0021$^b$  &  7 $\pm$ 11 &  12 $\pm$ 23   &  [\ion{S}{ii}] & yes \\
             & 1.00     &  0.131 $\pm$ 0.023   & 0.0109 $\pm$ 0.0027      &  9 $\pm$ 16 &  16 $\pm$ 23   &  H$\alpha$ & \\
HH~52~B3   & 0.34     &  0.122 $\pm$ 0.017   & 0.0121 $\pm$ 0.0019  &  112 $\pm$ 7 &  128 $\pm$ 9   &  [\ion{S}{ii}] & no \\
HH~52~B2/B3 & 1.00$^a$     &  0.194 $\pm$ 0.077$^b$   & 0.061 $\pm$ 0.015  &  357 $\pm$ 22 &  348 $\pm$ 23   &  H$_2$ & no \\
HH~52~B4   & 0.22     &  0.124 $\pm$ 0.016   & 0.0134 $\pm$ 0.0019  &    90 $\pm$ 6 &  94 $\pm$ 7   &  [\ion{S}{ii}] & no\\
HH~52~B5   & 0.05     &  0.106 $\pm$ 0.041$^b$  & 0.0117 $\pm$ 0.0030  &  243 $\pm$ 13 &  238 $\pm$ 13   &  [\ion{S}{ii}] & no\\
             & 0.10     &  0.146 $\pm$ 0.045     & 0.0076 $\pm$ 0.0052$^b$  &  202 $\pm$ 12   &  215 $\pm$ 36   &  H$\alpha$ & \\
HH~52~B8   & 1.00     &  0.164 $\pm$ 0.067$^b$   & 0.020 $\pm$ 0.007$^b$  &  290 $\pm$ 16 &  291 $\pm$ 19   &  [\ion{S}{ii}] & yes  \\
HH~52~C1   & 0.05     &  0.052 $\pm$ 0.012        & 0.0105 $\pm$ 0.0014  &  69 $\pm$ 13 &  229 $\pm$ 10   &  [\ion{S}{ii}] & yes\\
HH~52~C4   & 0.28     &  0.144 $\pm$ 0.025     & 0.0105 $\pm$ 0.0018  &  347 $\pm$ 7 &  338 $\pm$ 11   &  [\ion{S}{ii}] &  yes\\
             & 1.00$^a$ &  0.166 $\pm$ 0.047    & 0.0163 $\pm$ 0.0050$^b$       &  348 $\pm$ 14   &  338 $\pm$ 21   &  H$\alpha$ & \\
HH~52~D4   & 0.18     &  0.073 $\pm$ 0.014   & 0.0038 $\pm$ 0.0013$^b$  &  33 $\pm$ 9 &  16 $\pm$ 21   &  [\ion{S}{ii}] & no \\
	     & 0.53     &  0.093 $\pm$ 0.050$^b$   & 0.011 $\pm$ 0.0050$^b$  &  12 $\pm$ 22 &  347 $\pm$ 28   &  H$\alpha$ \\
HH~53~A    & 0.93   &  0.034 $\pm$ 0.012$^b$   & 0.0040 $\pm$ 0.0012  &  230 $\pm$ 18 &  197 $\pm$ 20   &  [\ion{S}{ii}] & no \\
HH~53~B    & 0.96   &  0.038 $\pm$ 0.022$^b$   & 0.0047 $\pm$ 0.0012    &  332 $\pm$ 18 &  343 $\pm$ 18   &  [\ion{S}{ii}] & no \\
HH~53~G    & 0.07   &  0.039 $\pm$ 0.013    & 0.0049 $\pm$ 0.0014  &  104 $\pm$ 16 &  212 $\pm$ 18   &  [\ion{S}{ii}]  & no\\
             & 1.00$^a$  &  0.212 $\pm$ 0.069$^b$  & 0.0276 $\pm$ 0.0089       & 105 $\pm$ 15   &  113 $\pm$ 18   &  H$\alpha$ \\
HH~54~B$_1$& 0.34     &  0.04 $\pm$ 0.01   & 0.0088 $\pm$ 0.0024  &  40 $\pm$ 12 &  61 $\pm$ 15   &  H$_2$ & no\\
HH~54~B$_3$& 0.58     &  0.067 $\pm$ 0.013   & 0.0145 $\pm$ 0.0023  &  173 $\pm$ 8 &  185 $\pm$ 10   &  H$_2$ & no \\
HH~54~C3   & 0.85   &  0.046 $\pm$ 0.020$^b$  & 0.054 $\pm$ 0.014       & 184 $\pm$ 21   &  165 $\pm$ 20   &  H$\alpha$ & no\\
HH~54~E    & 0.86     &  0.027 $\pm$ 0.008   & 0.0039 $\pm$ 0.0015$^b$  &  28 $\pm$ 19 &  16 $\pm$ 41   &  H$_2$ & yes \\
HH~54~F1   & 0.09   &  0.072 $\pm$ 0.024  & 0.084 $\pm$ 0.019       &  312 $\pm$ 12   &  324 $\pm$ 13   &  H$\alpha$ & no\\
HH~54~G    & 1.00$^a$   &  0.134 $\pm$ 0.057$^b$   & 0.013 $\pm$ 0.006$^b$  &  67 $\pm$ 21 &  61 $\pm$ 33   &  [\ion{S}{ii}] & yes  \\
             & 0.08   &  0.155 $\pm$ 0.015  & 0.0146 $\pm$ 0.0017       &  85 $\pm$ 7   &  89 $\pm$ 9   &  H$\alpha$ \\
HH~54~G0   & 1.00$^a$   &  0.2 $\pm$ 0.1$^b$   & 0.020 $\pm$ 0.007$^b$  &  28 $\pm$ 16 &  220 $\pm$ 20   &  [\ion{S}{ii}] & yes \\
             & 0.12   &  0.05 $\pm$ 0.02$^b$  & 0.012 $\pm$ 0.002       &  40 $\pm$ 20   &  230 $\pm$ 13   &  H$\alpha$ \\
HH~54~G1   & 1.00$^a$   &  0.239 $\pm$ 0.067   & 0.02 $\pm$ 0.009$^b$  &  79 $\pm$ 15 &  76 $\pm$ 27   &  [\ion{S}{ii}] & yes \\
             & 0.06       &  0.214 $\pm$ 0.031  & 0.0177 $\pm$ 0.0039   &  85 $\pm$ 12   &  85 $\pm$ 19   &  H$\alpha$ \\
HH~54~G2   & 1.00$^a$   &  0.12 $\pm$ 0.11$^b$   & 0.017 $\pm$ 0.0077$^b$  &  70 $\pm$ 35 &  316 $\pm$ 26   &  [\ion{S}{ii}] & no  \\
             & 0.37       &  0.125 $\pm$ 0.019  & 0.0097 $\pm$ 0.0026       & 70 $\pm$ 13   &  143 $\pm$ 19   &  H$\alpha$ \\
HH~54~G3   & 1.00$^a$   &  0.291 $\pm$ 0.059   & 0.0299 $\pm$ 0.0077        &  76 $\pm$ 11 &  80 $\pm$ 15   &  [\ion{S}{ii}] & yes \\
             & 0.10       &  0.134 $\pm$ 0.025  & 0.0068 $\pm$ 0.0025$^b$       & 66 $\pm$ 16   &  67 $\pm$ 38   &  H$\alpha$ \\
HH~54~H1   & 0.49       &  0.033 $\pm$ 0.013$^b$  & 0.0063 $\pm$ 0.0017       & 55 $\pm$ 30   &  199 $\pm$ 17   &  H$\alpha$ & yes \\
HH~54~H2   & 0.10       &  0.158 $\pm$ 0.017  & 0.0228 $\pm$ 0.0019       &  41 $\pm$ 5   &  256 $\pm$ 4   &  H$\alpha$ & yes \\
HH~54~H3   & 1.00$^a$   &  0.062 $\pm$ 0.023$^b$  & 0.012 $\pm$ 0.004       &  127 $\pm$ 4   &  273 $\pm$ 16   &  H$\alpha$ & no \\
             & 0.50       &  0.079 $\pm$ 0.017    & 0.007 $\pm$ 0.003$^b$     &  66 $\pm$ 12   &  140 $\pm$ 35   &  H$_2$ \\
HH~54~M    & 1.00       &  0.071 $\pm$ 0.019  & 0.069 $\pm$ 0.021       & 70 $\pm$ 14   &  67 $\pm$ 19   &  H$\alpha$ & yes\\
HH~54~Q1   & 1.00$^a$   &  0.165 $\pm$ 0.103$^b$  & 0.0171 $\pm$ 0.0078$^b$       &  12 $\pm$ 20   &  8 $\pm$ 28   &  [\ion{S}{ii}] & yes\\
             & 0.97       &  0.093 $\pm$ 0.023  & 0.0084 $\pm$ 0.0023               &  7 $\pm$ 22   &  349 $\pm$ 30   &  H$\alpha$ \\
HH~54~Q3   & 0.99       &  0.097 $\pm$ 0.018  & 0.0069 $\pm$ 0.023       &  79 $\pm$ 12   &  79 $\pm$ 22   &  H$\alpha$ & yes\\
HH~54~X1~A  & 0.57     &  0.079 $\pm$ 0.015  & 0.055 $\pm$ 0.018     &  105 $\pm$ 9   &  107 $\pm$ 16   &  H$\alpha$ & yes\\
HH~54~X1~C  & 0.38     &  0.025 $\pm$ 0.012$^b$   & 0.0065 $\pm$ 0.0015         &  225 $\pm$ 30   &  186 $\pm$ 14   &  H$\alpha$ & no \\
HH~54~Y2     & 1.00    &  0.082 $\pm$ 0.014      & 0.0057 $\pm$ 0.0013       &  25 $\pm$ 7   &  23 $\pm$ 12   &  H$\alpha$ & yes \\
               & 0.59   &  0.071 $\pm$ 0.026$^b$   & 0.0098 $\pm$ 0.0037$^b$  &  19 $\pm$ 16 &  40 $\pm$ 20   &  H$_2$ \\
HH~54~Y3    & 0.06   &  0.145 $\pm$ 0.026     & 0.0097 $\pm$ 0.0026       &  37 $\pm$ 9   &  32 $\pm$ 18   &  H$\alpha$ & yes\\
\hline 
\end{tabular}}
\medskip
Notes: $^{a}$ only 3 points in the fit;
$^{b}$~below 3$\sigma$.
\end{table}