\begin{table}%t4
%\centering
\par
\caption{Forced precession model for assumed function $h$($r$)
represented by: standard function $g$($r$), $f$($r$), $g^*$($r$) --
modified function $g$($r$), respectively. NG~parameters $A_{\rm{1}},
A_{\rm{2}}, A_{\rm{3}}$ are given in units of
$10^{-8}$~AU~day$^{-2}$, and precession factor $f_{\rm p}$ -- in
units of $10^6$~day~AU$^{-1}$. Subscript "0'' in~$I_{\rm
{0}}$ and $\phi _{\rm{0}}$ denotes the values on the starting
epoch of integration given in the Col.~1. The $g^*$($r$)
functions for C/1995~O1~Hale-Bopp ($g^*_{\rm{HB}}$($r$)) and
C/1996~B2~Hyakutake ($g^*_{\rm{Hya}}$($r$)) are described in
Table~3; subscripts $^{{(a)}}$ and $^{{(b)}}$ denote
solutions taken from Szutowicz~et~al. (2002a,b). In the case
of comet Hyakutake models with subscript $^{{(a)}}$
additionally include the observed comet fragmentation on 1996
March 21.\label{tab4}}
 {\footnotesize
\begin{tabular}{llcccccc} \hline\hline
Name    &
Model       & $A$                & $\eta$          & $I_{\rm {0}}$              & $\phi _{\rm {0}}$            & $f_{\rm p}$  & {rms} \\
epoch       &&&&&& $s$ &  \\
\hline
1996 B2 &
 $g$($r$)                    & $+3.1299\pm .0485$ & $ 9.55\pm 0.42$ & $ 65.41\pm 0.89$ & $118.34\pm 7.18$ &             & 0\farcs 95 \\
19960321 & $g_{\rm{Hya}}^*$($r$)& $+0.6457\pm .0097$ & $13.02\pm 1.22$ & $ 53.09\pm 4.13$ & $ 23.16\pm 3.13$ &             & 0\farcs 94 \\
& $g$($r$)~~~~~~$^{(a)}$           & $+4.2586    $ & $ 15.7        $ & $ 50.1         $ & $173.5         $ & $+.25395$   & 0\farcs 879\\
&           &                    &                 &                  &                  & $+0.03$     &            \\
& $g_{\rm{Hya}}^*$($r$)~$^{(a)}$ & $+4.8900         $ & $ 25.6        $ & $ 5.1          $ & $53.4          $ & $-.80149$   & 0\farcs 855\\
&           &                    &                 &                  &                  & $-0.10$     &            \\
1959 Y1 &
$g$($r$)      & $+5.6708\pm .5026$ & $10.84\pm 3.70$ & $172.8 \pm 13.8$ & $ 60.56 $        &             & 1\farcs 47 \\
195991218 & $f$($r$) & $+4.1079\pm .3611$ & $10.72\pm 3.92$ & $174.0 \pm 14.6$ & $ 69.74 $   &             & 1\farcs 47 \\
&&&&&&& \\
1969 Y1 &
$g$($r$)      & $+1.7101\pm .1890$ & $ 9.21\pm 4.71$ & $ 64.0 \pm 42.2$ & $110.2 \pm 72.3$ &             & 1\farcs 53 \\
19740404    &&&&&&& \\
&&&&&&& \\
1999 H1 &
$g$($r$)      & $+0.7313\pm .1214$ & $30.50\pm 6.45$ & $119.03\pm 3.54$ & $338.43\pm 4.90$ &             & 0\farcs 69 \\
19990412 & $f$($r$) & $+0.4875\pm .0800$ & $35.29\pm 7.51$ & $119.26\pm 3.44$ & $339.98\pm 4.49$ &         & 0\farcs 69 \\
&&&&&&& \\
1991 T2 &
$g^*$($r$) & $+6.2412\pm .8214$ & $58.78\pm 2.82$ & $141.37\pm 2.16$ & $123.49\pm 5.33$ &             & 1\farcs 10 \\
19910921 & $g$*($r$) $k=0$ & $+2.8437\pm .4833$ & $43.30\pm 3.67$ & $146.39\pm 5.41$ & $124.0 \pm 15.8$ &    & 1\farcs 12 \\
         & $f$($r$)    & $+3.1034\pm .4593$ & $47.95\pm 3.38$ & $144.23\pm 3.98$ & $123.9 \pm 10.6$ &    & 1\farcs 11 \\
&&&&&&& \\
1993 Y1 &
$g$($r$)      & $+1.4714\pm .1265$ & $ 6.08\pm 3.84$ & $ 99.7 \pm 37.2$ & $164.6 \pm 63.3$ &             & 1\farcs 00 \\
19931129 & $f$($r$) & $+1.0832\pm .0887$ & $ 5.83\pm 4.18$ & $101.0 \pm 32.8$ & $176.4 \pm 57.9$ &         & 1\farcs 00 \\
&&&&&&& \\
1995 O1 &
$g$($r$)      & $+1.5078\pm .0307$ & $ 8.14\pm 0.60$ & $ 55.62\pm 3.01$ & $ 80.94\pm 5.44$ &             & 1\farcs 06 \\
20011018 &
$g_{\rm{HB}}^*$($r$)~$^{(b)}$ & $+1.4281\pm .0335$ & $ 7.44\pm 0.88$ & $ 89.89\pm 1.40$ & $ 70.09\pm 1.51$    & $-.0422$    & 1\farcs 06 \\
           &        &                    &                 &                  &                     & $-.30$       &            \\
%&&&&&&& \\
1990 K1 &
$g$($r$)      & $+3.7139\pm .1226$ & $11.18\pm 0.95$ & $ 60.21\pm 3.49$ & $298.80\pm 5.61$ &             & 1\farcs 20 \\
19900529 & $f$($r$) & $+2.3215\pm .0732$ & $ 8.14\pm 0.50$ & $ 83.51\pm 7.06$ & $323.25\pm 7.41$ &         & 1\farcs 19 \\
&&&&&&& \\
1999 J3 &
$g$($r$), $f$($r$) & $+2.8491\pm .1248$ & $24.50\pm 4.10$ & $ 99.28\pm 8.19$ & $ 90.84\pm 2.39$ &             & 0\farcs 80 \\
20000406 & $g$($r$)         & $+4.9549\pm .6787$ & $-9.49\pm 0.65$ & $ 63.97\pm 5.60$ & $204.41\pm 6.10$ & $+.535\pm 0.146$ & 0\farcs 78 \\
         &                &                    &                 &                  &                  & $+.707\pm 0.038$ &            \\
         & $g$*$_{\rm{Hya}}$($r$)& $+0.6806\pm .0288$ & $11.19\pm 1.26$ & $ 79.05\pm 4.62$ & $ 75.48\pm 4.69$ & $+.5           $ & 0\farcs 78 \\
         &         &                    &                 &                  &                  & $+.3$              &            \\
1995 Y1 &
$g^*$($r$)  & $+0.8986\pm .6687$ & $26.53\pm 9.76$ & $ 69.4 \pm 37.2$ & $283.7 \pm 21.9$ &      & 0\farcs 80 \\
19951119 &&&&&&& \\
&&&&&&& \\
1998 P1 &
$g$($r$)      & $+35.02 \pm .54  $ & $ 6.23\pm 0.66$ & $ 92.66\pm 2.88$ & $ 91.79\pm 2.64$ &          & 1\farcs 06 \\
19981103 & $f$($r$) & $+18.86 \pm .25  $ & $ 2.60\pm 0.46$ & $ 78.3 \pm 10.6$ & $108.0 \pm 11.6$ &       & 1\farcs 01 \\
         & $g$($r$) & $+37.75 \pm .38  $ & $ 8.94\pm 0.38$ & $ 83.41\pm 1.75$ & $129.42\pm 0.78$ & $-.2$& 0\farcs 95 \\
          &        &                    &                 &                  &                  & $-.05$  &        \\
1999 T1 &
$g$($r$)      & $+2.743 \pm .257 $ & $26.47\pm 4.90$ & $137.8 \pm 10.2$ & $285.36\pm 2.73$ &          & 0\farcs 63 \\
19990919 & $f$($r$) & $+1.899 \pm .173 $ & $19.54\pm 2.98$ & $140.8 \pm 9.2 $ & $285.12\pm 4.94$ &      & 0\farcs 63 \\
&&&&&&& \\
1987 W2 &
$g$($r$)      & $+13.82 \pm 2.28 $ & $24.53\pm 8.77$ & $ 72.01\pm 8.19$ & $133.5 \pm 21.7$ &          & 1\farcs 06 \\
19880320 & $f$($r$) & $+6.070 \pm 1.06 $ & $22.62\pm 8.90$ & $ 76.87\pm 9.74$ & $133.6 \pm 23.0$ &      & 1\farcs 06 \\
&&&&&&& \\
1993 A1 &
$g$($r$)      & $+16.113\pm .203 $ & $ 8.19\pm 1.11$ & $167.0 \pm 20.2$ & $ 94.3 \pm 15.4$ &                        & 1\farcs 14 \\
19921025 & $f$($r$) & $+5.2950\pm .0730$ & $ 5.66\pm 1.39$ & $106.61\pm 9.88$ & $296.86\pm 3.58$ &                    & 1\farcs 10 \\
         & $f$($r$) & $+6.2176\pm .3801$ & $ 3.44\pm 1.33$ & $ 67.6 \pm 24.6$ & $285.17\pm 3.63$ & $+.307\pm 0.348$ & 1\farcs 10 \\
         &      &                    &                 &                  &                  & $+.167\pm 0.038$   &            \\
\hline
\end{tabular}
}
\end{table}