Table 4: 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 106 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.
Name Model A $\eta$ $I_{\rm {0}}$ $\phi _{\rm {0}}$ $f_{\rm p}$ rms
epoch           s  
1996 B2 g(r) $+3.1299\pm .0485$ $ 9.55\pm 0.42$ $ 65.41\pm 0.89$ $118.34\pm 7.18$   0 $.\!\!^{\prime\prime}$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 $.\!\!^{\prime\prime}$94
  g(r)      (a) +4.2586 15.7 50.1 173.5 +.25395 0 $.\!\!^{\prime\prime}$879
            +0.03  
  $g_{\rm {Hya}}^*$(r) (a) +4.8900 25.6 5.1 53.4 -.80149 0 $.\!\!^{\prime\prime}$855
            -0.10  
1959 Y1 g(r) $+5.6708\pm .5026$ $10.84\pm 3.70$ $172.8 \pm 13.8$ 60.56   1 $.\!\!^{\prime\prime}$47
195991218 f(r) $+4.1079\pm .3611$ $10.72\pm 3.92$ $174.0 \pm 14.6$ 69.74   1 $.\!\!^{\prime\prime}$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 $.\!\!^{\prime\prime}$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 $.\!\!^{\prime\prime}$69
19990412 f(r) $+0.4875\pm .0800$ $35.29\pm 7.51$ $119.26\pm 3.44$ $339.98\pm 4.49$   0 $.\!\!^{\prime\prime}$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 $.\!\!^{\prime\prime}$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 $.\!\!^{\prime\prime}$12
  f(r) $+3.1034\pm .4593$ $47.95\pm 3.38$ $144.23\pm 3.98$ $123.9 \pm 10.6$   1 $.\!\!^{\prime\prime}$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 $.\!\!^{\prime\prime}$00
19931129 f(r) $+1.0832\pm .0887$ $ 5.83\pm 4.18$ $101.0 \pm 32.8$ $176.4 \pm 57.9$   1 $.\!\!^{\prime\prime}$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 $.\!\!^{\prime\prime}$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 $.\!\!^{\prime\prime}$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 $.\!\!^{\prime\prime}$20
19900529 f(r) $+2.3215\pm .0732$ $ 8.14\pm 0.50$ $ 83.51\pm 7.06$ $323.25\pm 7.41$   1 $.\!\!^{\prime\prime}$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 $.\!\!^{\prime\prime}$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 $.\!\!^{\prime\prime}$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 $.\!\!^{\prime\prime}$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 $.\!\!^{\prime\prime}$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 $.\!\!^{\prime\prime}$06
19981103 f(r) $+18.86 \pm .25 $ $ 2.60\pm 0.46$ $ 78.3 \pm 10.6$ $108.0 \pm 11.6$   1 $.\!\!^{\prime\prime}$01
  g(r) $+37.75 \pm .38 $ $ 8.94\pm 0.38$ $ 83.41\pm 1.75$ $129.42\pm 0.78$ -.2 0 $.\!\!^{\prime\prime}$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 $.\!\!^{\prime\prime}$63
19990919 f(r) $+1.899 \pm .173 $ $19.54\pm 2.98$ $140.8 \pm 9.2 $ $285.12\pm 4.94$   0 $.\!\!^{\prime\prime}$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 $.\!\!^{\prime\prime}$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 $.\!\!^{\prime\prime}$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 $.\!\!^{\prime\prime}$14
19921025 f(r) $+5.2950\pm .0730$ $ 5.66\pm 1.39$ $106.61\pm 9.88$ $296.86\pm 3.58$   1 $.\!\!^{\prime\prime}$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 $.\!\!^{\prime\prime}$10
            $+.167\pm 0.038$  


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