Table 2: NG parameters derived from positional observations for assumed function h(r) (Eq. (5)) represented by: standard function g(r), g*(r) - modified function g(r), $g_{\rm {S}}$(r) - Sekanina's function, f(r) - Yabushita's function describing CO sublimation, respectively. NG parameters  $A^*_{\rm {1}}, A^*_{\rm {2}}, A^*_{\rm {3}}$ are given in units of 10-8 AU day-2; these parameters are the standard  $A_{\rm {1}}, A_{\rm {2}}$ and $A_{\rm {3}}$ for the NG models including the standard g(r); $\tau $ is given in days. First line for each individual comet shows the NG parameters $A_{\rm {1}}$ and $A_{\rm {2}}$ taken from MW Catalogue or Minor Planet Circulars (if there are). 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. For comet C/1959 Y1 Burnham the models with displacement, D, of photometric centre from the gravitational one are also presented; the values of this displacement (in paranthesis) are given in units of 10-5 AU. Models with subscript R indicate solutions based on 37 observations of Comet Burnham made by Roemer et al. (1966).
Name h(r) $A^*_{\rm {1}}$ $A^*_{\rm {2}}$ $A^*_{\rm {3}}$ $\tau $ rms
          [D]  
1996 B2 g(r) $_{\rm {Mar}}$ +2.76 +0.0716      
  g(r) $+2.7699\pm .1793$ $+0.1396\pm .0090$ $+0.6602\pm .0678$   1 $.\!\!^{\prime\prime}$08
  g(r) $+4.0727\pm .0776$ $-0.3590\pm .0366$ $-0.9748\pm .0500$ $1.834\pm .095$ 0 $.\!\!^{\prime\prime}$98
  $g_{\rm {S}}$(r) $+2.0592\pm .0532$ $+0.1322\pm .0087$ $-0.5466\pm .0608$   1 $.\!\!^{\prime\prime}$06
  $g_{\rm {S}}$(r) $+3.6962\pm .0705$ $-0.3319\pm .0358$ $-0.7876\pm .0452$ $1.862\pm .103$ 0 $.\!\!^{\prime\prime}$97
  f(r) $+2.0630\pm .1793$ $+0.1078\pm .0070$ $-0.4160\pm .0483$   1 $.\!\!^{\prime\prime}$05
  f(r) $+2.9400\pm .0559$ $-0.2651\pm .0288$ $-0.6080\pm .0366$ $1.896\pm .105$ 0 $.\!\!^{\prime\prime}$97
  $g_{\rm {Hya}}^*$(r) $+0.6216\pm .0103$ $+0.0704\pm .0032$ $-0.0034\pm .0129$   0 $.\!\!^{\prime\prime}$97
  $g_{\rm {Hya}}^*$(r) $+0.8538\pm .1759$ $-0.0686\pm .0117$ $-0.0330\pm .0111$ $2.936\pm .174$ 0 $.\!\!^{\prime\prime}$92
  g(r) $_{r_{\rm {0}}=4~ {\rm {AU}}}$ $+2.7889\pm .0585$ $+0.1383\pm .0091$ $-0.6442\pm .0660$   1 $.\!\!^{\prime\prime}$07
1959 Y1 g(r) $_{\rm {Mar}}$ R +5.9 -1.4      
  g(r) $+5.3028\pm .4385$ $-0.6879\pm .3349$ $+0.1774\pm .1238$   1 $.\!\!^{\prime\prime}$64
  g(r) $+5.1843\pm .4191$ $+0.2103\pm .3950$ $+0.2932\pm .1218$ [ $.5606\pm .1453$] 1 $.\!\!^{\prime\prime}$56
  g(r) $+9.661 \pm 1.314$ $+1.3142\pm .5776$ $+0.7462\pm .2012$ $-9.37 \pm 1.51$ 1 $.\!\!^{\prime\prime}$59
  $g_{\rm {S}}$(r) $+4.8533\pm .3975$ $-0.6092\pm .3170$ $+0.1449\pm .1183$   1 $.\!\!^{\prime\prime}$64
  $g_{\rm {S}}$(r) $+8.678 \pm 1.111$ $+1.2406\pm .5467$ $+0.6558\pm .1882$ $-9.61 \pm 1.62$ 1 $.\!\!^{\prime\prime}$59
  f(r) $+3.8495\pm .3156$ $-0.4864\pm .2511$ $+0.1147\pm .0936$   1 $.\!\!^{\prime\prime}$64
  f(r) $+6.8991\pm .8843$ $+0.9821\pm .4330$ $+0.5221\pm .1492$ $-9.60 \pm 1.61$ 1 $.\!\!^{\prime\prime}$59
  g(r) R $+5.5372\pm .4688$ $-1.1247\pm .4190$ $+0.0400\pm .1503$   1 $.\!\!^{\prime\prime}$46
  g(r) R $+5.3533\pm .3590$ $+0.5632\pm .4027$ $+0.2872\pm .1204$ [ $.8467\pm .1229$] 1 $.\!\!^{\prime\prime}$12
  g(r) R $+10.688\pm 1.273$ $+1.6942\pm .6389$ $+0.8080\pm .2791$ $-10.54\pm 1.36$ 1 $.\!\!^{\prime\prime}$37
1969 Y1 g(r) $_{\rm {Mar}}$ +1.9 +0.1      
  g(r) $+1.6024\pm .1793$ $+0.1634\pm .1462$ $-0.0988\pm .2059$   1 $.\!\!^{\prime\prime}$53
  g(r) $+1.6668\pm .1426$ $+0.5054\pm .1426$ $+0.3811\pm .1950$ $+6.23\pm 1.66$ 1 $.\!\!^{\prime\prime}$53
  $g_{\rm {S}}$(r) $+1.6070\pm .1668$ $+0.2178\pm .1210$ $+0.0253\pm .1783$   1 $.\!\!^{\prime\prime}$53
  $g_{\rm {S}}$(r) $+1.6074\pm .1339$ $+0.4563\pm .1194$ $+0.3607\pm .1680$ $+5.96\pm 1.69$ 1 $.\!\!^{\prime\prime}$53
  f(r) $+1.2698\pm .1321$ $+0.1709\pm .0959$ $+0.0169\pm .1413$   1 $.\!\!^{\prime\prime}$53
  f(r) $+1.2700\pm .1057$ $+0.3598\pm .0944$ $+0.2823\pm .1326$ $+5.94\pm 1.69$ 1 $.\!\!^{\prime\prime}$53
1999 H1 g(r) $_{\rm {Mar}}$ - -      
  g(r) $+0.8918\pm .0947$ $-0.2087\pm .0146$ $-0.2083\pm .0071$   0 $.\!\!^{\prime\prime}$69
  $g_{\rm {S}}$(r) $+0.7146\pm .0785$ $-0.2034\pm .0140$ $+0.2021\pm .0063$   0 $.\!\!^{\prime\prime}$69
  f(r) $+0.5706\pm .0626$ $-016069\pm .0111$ $+0.1597\pm .0050$   0 $.\!\!^{\prime\prime}$69
  g(r) $_{r_{\rm {0}}=1.5~ {\rm {AU}}}$ $+2.7489\pm .2280$ $-0.0203\pm .0129$ $+0.0258\pm .0136$   0 $.\!\!^{\prime\prime}$68
1991 T2 g(r) $_{\rm {Mar}}$ - -      
  g*(r) m = -2.0 $+2.5159\pm .5235$ $-2.4769\pm .4059$ $+1.4182\pm .3125$   1 $.\!\!^{\prime\prime}$14
  g*(r) m = -2.0, k = 0 $+1.9299\pm .4339$ $-1.4349\pm .2211$ $+0.7013\pm .1754$   1 $.\!\!^{\prime\prime}$13
  $g_{\rm {S}}$(r) $+2.4729\pm .4927$ $-1.9988\pm .2951$ $+1.0648\pm .2298$   1 $.\!\!^{\prime\prime}$13
  f(r) $+1.9137\pm .3845$ $-1.5436\pm .2277$ $+0.8118\pm .1776$   1 $.\!\!^{\prime\prime}$13
  g(r) $_{r_{\rm {0}}=4~ {\rm {AU}}}$ $+2.8834\pm .5592$ $-2.3946\pm .3535$ $+1.3214\pm .2744$   1 $.\!\!^{\prime\prime}$13
1993 Y1 g(r) $_{\rm {Mar}}$ +1.77 +0.646      
  g(r) $+1.4777\pm .1354$ $-0.0204\pm .0792$ $-0.1103\pm .0532$   1 $.\!\!^{\prime\prime}$00
  $g_{\rm {S}}$(r) $+1.4038\pm .1197$ $-0.0029\pm .0657$ $-0.0803\pm .0449$   1 $.\!\!^{\prime\prime}$00
  f(r) $+1.0880\pm .0955$ $-0.0066\pm .0542$ $-0.0725\pm .0370$   1 $.\!\!^{\prime\prime}$00
1995 O1 g(r) $_{\rm {Mar}}$ +1.27 +0.1144      
  g(r) $+1.520 \pm .031 $ $+0.1199\pm .0053$ $-0.0198\pm .0117$   1 $.\!\!^{\prime\prime}$07
  g(r) $+1.599 \pm .033 $ $-0.0425\pm .0301$ $-0.0361\pm .0109$ $ 8.23 \pm 1.46$ 1 $.\!\!^{\prime\prime}$06
  $g_{\rm {S}}$(r) $+1.4497\pm .0339$ $+0.1144\pm .0052$ $-0.0233\pm .0107$   1 $.\!\!^{\prime\prime}$10
  $g_{\rm {S}}$(r) $+1.5044\pm .0367$ $+0.0355\pm .0218$ $-0.0325\pm .0103$ $4.22 \pm 1.13$ 1 $.\!\!^{\prime\prime}$09
  f(r) $+1.147 \pm .027 $ $+0.0912\pm .0043$ $-0.0190\pm .0086$   1 $.\!\!^{\prime\prime}$10
  f(r) $+1.1845\pm .0297$ $+0.0384\pm .0171$ $-0.0253\pm .0083$ $3.55 \pm 1.11$ 1 $.\!\!^{\prime\prime}$10

Name h(r) $A_{\rm {1}}$ $A_{\rm {2}}$ $A_{\rm {3}}$ $\tau $ [days] rms
1995 O1 cont. $g_{\rm {HB}}^*$(r) $+4.878 \pm .102 $ $+0.3802\pm .0172$ $-0.0670\pm .0376$   1 $.\!\!^{\prime\prime}$07
  $g_{\rm {HB}}^*$(r) $+5.093 \pm .110 $ $-0.0060\pm .0877$ $-0.1093\pm .0356$ $ 5.918\pm 1.23$ 1 $.\!\!^{\prime\prime}$07
  g(r) $_{r_{\rm {0}}=1.5~ {\rm {AU}}}$ $+1.4014\pm .0276$ $+0.1245\pm .0059$ $-0.0297\pm .0142$   1 $.\!\!^{\prime\prime}$06
1990 K1 g(r) $_{\rm {Mar}}$ +3.0 -0.2      
  g(r) $+3.3803\pm .1059$ $+0.1535\pm .0518$ $+0.3324\pm .0147$   1 $.\!\!^{\prime\prime}$21
  $g_{\rm {S}}$(r) $+2.7191\pm .0793$ $-0.0827\pm .0450$ $+0.2773\pm .0122$   1 $.\!\!^{\prime\prime}$18
  f(r) $+2.2655\pm .0671$ $-0.0306\pm .0365$ $+0.2257\pm .0099$   1 $.\!\!^{\prime\prime}$19
  g(r) $_{r_{\rm {0}}=4~ {\rm {AU}}}$ $+3.1344\pm .0929$ $+0.0004\pm .0493$ $+0.3157\pm .0138$   1 $.\!\!^{\prime\prime}$19
1999 J3 g(r) $_{\rm {Mar}}$ - -      
  g(r) $+2.7344\pm .1296$ $-0.7626\pm .0108$ $-0.2305\pm .0320$   0 $.\!\!^{\prime\prime}$83
  $g_{\rm {S}}$(r) $+2.3812\pm .1144$ $-0.6330\pm .0950$ $-0.1843\pm .0281$   0 $.\!\!^{\prime\prime}$84
  f(r) $+1.8966\pm .0910$ $-0.5049\pm .0756$ $-0.1473\pm .0223$   0 $.\!\!^{\prime\prime}$84
  g(r) $_{r_{\rm {0}}=1.5~ {\rm {AU}}}$ $+4.2603\pm .1829$ $-1.6007\pm .1538$ $+0.5491\pm .0476$   0 $.\!\!^{\prime\prime}$79
1995 Y1 g(r) $_{\rm {Mar}}$ +0.51 -0.9335      
  g*(r) m = -1.5, k=0 $+0.2781\pm .1585$ $-0.2374\pm .1234$ $+0.0806\pm .0548$   0 $.\!\!^{\prime\prime}$81
  g(r) $_{r_{\rm {0}}=1.5~ {\rm {AU}}}$ $+1.3403\pm .3293$ $-0.9404\pm .5659$ $+0.1835\pm .2937$   0 $.\!\!^{\prime\prime}$81
1998 P1 g(r) $_{\rm {Mar}}$ +31.51 +2.2940      
  g(r) $+32.143\pm .403 $ $+1.071 \pm .131 $ $-1.194 \pm .053 $   1 $.\!\!^{\prime\prime}$10
  g(r) $+15.197\pm .674 $ $-2.6934\pm .1454$ $-0.2870\pm .0795$ 56.4 $\pm$ 4.3 0 $.\!\!^{\prime\prime}$93
  $g_{\rm {S}}$(r) $+23.158\pm .258 $ $+0.5434\pm .1063$ $-0.5934\pm .0378$   1 $.\!\!^{\prime\prime}$02
  $g_{\rm {S}}$(r) $+12.384\pm .514 $ $-1.7922\pm .1380$ $-0.0613\pm .0765$ $62.3 \pm 5.8 $ 0 $.\!\!^{\prime\prime}$92
  f(r) $+18.436\pm .204 $ $+0.4392\pm .0846$ $-0.4686\pm .0301$   1 $.\!\!^{\prime\prime}$02
  f(r) $+9.8560\pm .4104$ $-1.4270\pm .1129$ $-0.0440\pm .0623$ 62.7 $\pm$ 5.9 0 $.\!\!^{\prime\prime}$92
  g(r) $_{r_{\rm {0}}=6~ {\rm {AU}}}$ $+24.382\pm .267 $ $+0.5480\pm .1141$ $-0.5796\pm .0400$   1 $.\!\!^{\prime\prime}$01
1999 T1 g(r) $_{\rm {Mar}}$ +3.52 -1.5563      
  g(r) $+3.4457\pm .1113$ $-1.1405\pm .0615$ $-0.0976\pm .0160$   0 $.\!\!^{\prime\prime}$64
  $g_{\rm {S}}$(r) $+2.9990\pm .0991$ $-0.7838\pm .0500$ $-0.1057\pm .0115$   0 $.\!\!^{\prime\prime}$64
  f(r) $+2.4032\pm .0796$ $-0.6155\pm .0397$ $-0.0853\pm .0090$   0 $.\!\!^{\prime\prime}$64
1986 P1A g(r) $_{\rm {Mar}}$ +1.8 +0.1      
  g(r) $+1.7543\pm .0687$ $+0.0033\pm .0032$ $-0.0119\pm .0096$   1 $.\!\!^{\prime\prime}$31
  $g_{\rm {S}}$(r) $+1.5054\pm .0615$ $-0.0682\pm .0303$ $-0.0151\pm .0138$   1 $.\!\!^{\prime\prime}$32
  f(r) $+1.2607\pm .0513$ $-0.0528\pm .0255$ $-0.0123\pm .0118$   1 $.\!\!^{\prime\prime}$32
1996 E1 g(r) $_{\rm {Mar}}$ - -      
  g(r) $+6.0250\pm .9753$ $+0.9554\pm .4938$ $-0.3074\pm .3087$   0 $.\!\!^{\prime\prime}$77
  $g_{\rm {S}}$(r) $+3.8164\pm .6987$ $+1.0348\pm .3428$ $-0.3378\pm .2148$   0 $.\!\!^{\prime\prime}$77
  f(r) $+3.3633\pm .6088$ $+0.8574\pm .3002$ $-0.2809\pm .1879$   0 $.\!\!^{\prime\prime}$77
1998 T1 g(r) $_{\rm {Mar}}$ +0.59 -0.3262      
  g(r) $+0.5919\pm .0479$ $-0.3180\pm .0429$ $-0.5651\pm .0109$   0 $.\!\!^{\prime\prime}$70
  $g_{\rm {S}}$(r) $+0.4474\pm .0376$ $-0.2441\pm .0339$ $-0.3614\pm .0071$   0 $.\!\!^{\prime\prime}$71
  f(r) $+0.3577\pm .0301$ $-0.1964\pm .0273$ $-0.2860\pm .0056$   0 $.\!\!^{\prime\prime}$71
1975 T1 g(r) $_{\rm {Mar}}$ - -      
  g(r) $+4.6792\pm .6797$ $+1.1271\pm .7851$ $-1.4006\pm .3853$   1 $.\!\!^{\prime\prime}$31
  $g_{\rm {S}}$(r) $+3.2290\pm .4686$ $+0.4021\pm .4178$ $-0.8396\pm .2071$   1 $.\!\!^{\prime\prime}$31
  f(r) $+2.5666\pm .3729$ $+0.2997\pm .3282$ $-0.6621\pm .1627$   1 $.\!\!^{\prime\prime}$31
1987 W2 g(r) $_{\rm {Mar}}$ - -      
  g(r) $+14.750\pm 1.791$ $+2.011 \pm .574 $ $-4.038 \pm .6062$   1 $.\!\!^{\prime\prime}$06
  $g_{\rm {S}}$(r) $+8.165 \pm 1.025$ $+0.8907\pm .3574$ $-2.0626\pm .3376$   1 $.\!\!^{\prime\prime}$07
  f(r) $+6.4604\pm .8122$ $+0.6961\pm .2843$ $-1.626 \pm .2672$   1 $.\!\!^{\prime\prime}$07
1993 A1 g(r) $_{\rm {Mar}}$ +16.2 -2.2      
  g(r) $+15.962\pm .196 $ $-2.234 \pm .258 $ $+0.0507\pm .0938$   1 $.\!\!^{\prime\prime}$14
  $g_{\rm {S}}$(r) $+5.8752\pm .0780$ $-0.1853\pm .0937$ $-0.0158\pm .0295$   1 $.\!\!^{\prime\prime}$11
  f(r) $+5.3268\pm .0709$ $-0.1550\pm .0850$ $-0.0147\pm .0266$   1 $.\!\!^{\prime\prime}$11
  g(r) $_{r_{\rm {0}}=6~ {\rm {AU}}}$ $+6.7271\pm .0913$ $-0.1320\pm .1074$ $-0.0216\pm .0334$   1 $.\!\!^{\prime\prime}$11
1991 B1 g(r) $_{\rm {Mar}}$ - -      
  g(r) $+7.8004\pm .5799$ $-1.0766\pm .5990$ $-0.0541\pm .1539$   0 $.\!\!^{\prime\prime}$93
  $g_{\rm {S}}$(r) $-0.8473\pm .6729$ $-0.0379\pm .412 $ $-0.0784\pm .251 $   0 $.\!\!^{\prime\prime}$92
  f(r) $+1.1027\pm .0938$ $-0.2946\pm .1000$ $+0.0060\pm .0217$   0 $.\!\!^{\prime\prime}$94


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