Orbit Fit and Astrometric record for 12DS85

The following information shows the result of the orbit fit based on Gary Bernstein's method. Most of the information should be self-explanatory. Take special note that while the original Bernstein software works with barycentric coordinates, we convert these results into a heliocentric coordinate system.

# Object: 12DS85    
# Created Sat Oct 21 01:38:09 2017
# Orbit generated from Bernstein formalism
# Fitting   87 observations of   87
# Arc:   0.80y
# First observation: 2012/02/19
#  Last observation: 2012/12/08
Preliminary a, adot, b, bdot, g, gdot:
  -0.000178   0.089267  -0.000025   0.026560   0.058354   0.000000
# Chi-squared of fit:   177.57 DOF:  168 RMS:  0.25
# Min/Max residuals:    -0.93    0.86
# Exact a, adot, b, bdot, g, gdot:
  2.460524E-05  9.138491E-02  6.955312E-06  2.748867E-02  6.093421E-02  7.996086E-03
# Covariance matrix:
  7.1675E-14  7.3016E-13 -1.4564E-14  2.2108E-13  3.8284E-13  1.0012E-11
  7.3016E-13  7.4840E-11 -1.2016E-12  1.8088E-11  2.6249E-11  8.2229E-10
 -1.4564E-14 -1.2016E-12  5.0300E-14 -3.4576E-13 -4.2909E-13 -1.3323E-11
  2.2108E-13  1.8088E-11 -3.4576E-13  4.6280E-12  6.4654E-12  2.0064E-10
  3.8284E-13  2.6249E-11 -4.2909E-13  6.4654E-12  9.5868E-12  2.9380E-10
  1.0012E-11  8.2229E-10 -1.3323E-11  2.0064E-10  2.9380E-10  9.1196E-09
#      lat0       lon0       xBary       yBary       zBary        JD0
    0.083770  128.017772   -0.371471    0.001348   -0.918041  2455976.813976
# Heliocentric elements and errors
Epoch:              2455970.5000  =  2012/02/13
Mean Anomaly:           44.79622 +/-     0.146
Argument of Peri:      303.10756 +/-     0.248
Long of Asc Node:      128.97170 +/-     0.000
Inclination:            16.77065 +/-     0.000
Eccentricity:         0.13505567 +/-    0.0009
Semi-Major Axis:     18.94719421 +/-    0.0038
Time of Perihelion: 2452222.0244 +/-      12.2
Perihelion:          16.38826824 +/-    0.0173
Aphelion:            21.50612018 +/-    0.0175
Period (y)               82.4756 +/-      0.02
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -10.96308482 +/-    0.0005
Ecliptic Y           13.42477101 +/-    0.0007
Ecliptic Z            0.02410785 +/-    0.0000
Ecliptic XDOT        -0.00345965 +/-    0.0000
Ecliptic YDOT        -0.00224310 +/-    0.0000
Ecliptic ZDOT         0.00123572 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   17.33246338 +/-    0.0006
Geocenter to KBO     16.41114303 +/-    0.0008
# Hcoef:  9.39

The following table shows the complete astrometric record for 12DS85. The first three columns show the date of observation. The next six columns are RA and DEC. The next column (when provided) is the observed magnitude and filter. The next column is the object name (12DS85) followed by the observatory code and reference code for the source of the astrometry.

2012 02  19.31321  08 41 49.69   +18 20 37.6   22.0R 12DS85    290  C~0edx      
2012 02  19.31769  08 41 49.65   +18 20 37.9   21.7R 12DS85    290  C~0edx      
2012 02  19.32218  08 41 49.66   +18 20 38.7   21.9R 12DS85    290  C~0edx      
2012 02  19.32667  08 41 49.59   +18 20 38.6   21.9R 12DS85    290  C~0edx      
2012 02  19.33116  08 41 49.51   +18 20 38.8   21.8R 12DS85    290  C~0edx      
2012 02  21.31192  08 41 29.78   +18 22 24.6   21.9R 12DS85    290  C~0edx      
2012 02  21.31640  08 41 29.73   +18 22 24.9   21.7R 12DS85    290  C~0edx      
2012 02  21.32089  08 41 29.71   +18 22 25.3   21.9R 12DS85    290  C~0edx      
2012 02  21.32538  08 41 29.66   +18 22 25.6   21.8R 12DS85    290  C~0edx      
2012 02  21.32987  08 41 29.61   +18 22 25.8   22.0R 12DS85    290  C~0edx      
2012 02  22.34160  08 41 19.69   +18 23 19.6   21.5R 12DS85    290  C~0ewE      
2012 02  22.35381  08 41 19.52   +18 23 20.1   21.5R 12DS85    290  C~0ewE      
2012 02  22.36278  08 41 19.49   +18 23 20.6   21.6R 12DS85    290  C~0ewE      
2012 02  24.30106  08 41 00.88   +18 25 01.5   21.7R 12DS85    290  C~0edx      
2012 02  24.31005  08 41 00.78   +18 25 02.0   21.4R 12DS85    290  C~0edx      
2012 02  24.31454  08 41 00.70   +18 25 02.6   21.6R 12DS85    290  C~0edx      
2012 02  26.34992  08 40 41.71   +18 26 47.1   21.8R 12DS85    290  C~0edx      
2012 02  26.35440  08 40 41.64   +18 26 47.4   21.9R 12DS85    290  C~0edx      
2012 02  26.35889  08 40 41.61   +18 26 47.5   21.8R 12DS85    290  C~0edx      
2012 02  26.36338  08 40 41.58   +18 26 47.3   21.8R 12DS85    290  C~0edx      
2012 02  26.37011  08 40 41.52   +18 26 48.3   21.8R 12DS85    290  C~0edx      
2012 02  26.37236  08 40 41.48   +18 26 48.3   21.7R 12DS85    290  C~0edx      
2012 02  26.38134  08 40 41.40   +18 26 48.4   21.8R 12DS85    290  C~0edx      
2012 02  27.35181  08 40 32.51   +18 27 37.4   21.8R 12DS85    290  C~0edx      
2012 02  27.35628  08 40 32.48   +18 27 37.6   21.9R 12DS85    290  C~0edx      
2012 02  27.36078  08 40 32.41   +18 27 37.9   21.9R 12DS85    290  C~0edx      
2012 02  27.36751  08 40 32.38   +18 27 38.1   21.8R 12DS85    290  C~0edx      
2012 02  27.37425  08 40 32.35   +18 27 38.6   21.8R 12DS85    290  C~0edx      
2012 02  27.37873  08 40 32.31   +18 27 38.7   21.7R 12DS85    290  C~0edx      
2012 02  27.38322  08 40 32.25   +18 27 39.0   21.9R 12DS85    290  C~0edx      
2012 04  16.18120  08 36 52.48   +18 53 31.0   21.5R 12DS85    290  C~0gvj      
2012 04  16.18689  08 36 52.49   +18 53 31.1   21.6R 12DS85    290  C~0gvj      
2012 04  17.15737  08 36 53.43   +18 53 41.3   21.8R 12DS85    290  C~0gbK      
2012 04  17.16186  08 36 53.44   +18 53 41.4   21.8R 12DS85    290  C~0gbK      
2012 04  17.16411  08 36 53.44   +18 53 41.4   21.7R 12DS85    290  C~0gbK      
2012 04  17.16635  08 36 53.44   +18 53 41.6   22.0R 12DS85    290  C~0gbK      
2012 04  17.17084  08 36 53.45   +18 53 41.7   21.2R 12DS85    290  C~0gbK      
2012 04  17.17532  08 36 53.45   +18 53 41.8   21.7R 12DS85    290  C~0gbK      
2012 04  17.18206  08 36 53.46   +18 53 41.6   21.6R 12DS85    290  C~0gbK      
2012 04  18.18089  08 36 54.67   +18 53 51.4   21.6R 12DS85    290  C~0gbK      
2012 04  18.18312  08 36 54.69   +18 53 51.1   21.7R 12DS85    290  C~0gbK      
2012 04  18.18762  08 36 54.69   +18 53 51.5   21.7R 12DS85    290  C~0gbK      
2012 04  18.19884  08 36 54.71   +18 53 51.6   21.6R 12DS85    290  C~0gbK      
2012 04  19.15193  08 36 56.06   +18 54 00.1   21.5R 12DS85    290  C~0gvj      
2012 04  19.15642  08 36 56.10   +18 53 59.6   21.5R 12DS85    290  C~0gbK      
2012 04  19.15867  08 36 56.11   +18 53 59.8   21.5R 12DS85    290  C~0gbK      
2012 04  19.16541  08 36 56.15   +18 53 59.7   21.3R 12DS85    290  C~0gvj      
2012 04  19.17437  08 36 56.18   +18 53 59.9   21.5R 12DS85    290  C~0gvj      
2012 04  19.17887  08 36 56.17   +18 53 59.7   21.2R 12DS85    290  C~0gvj      
2012 04  19.22808  08 36 56.20   +18 54 00.3   21.6R 12DS85    290  C~0gbK      
2012 04  19.23706  08 36 56.21   +18 54 00.3   21.3R 12DS85    290  C~0gbK      
2012 04  21.17528  08 36 59.72   +18 54 14.7   21.5R 12DS85    290  C~0gbK      
2012 04  21.18287  08 36 59.73   +18 54 14.9   21.3R 12DS85    290  C~0gbK      
2012 04  22.15168  08 37 01.85   +18 54 20.0   21.4R 12DS85    290  C~0gbK      
2012 04  22.15547  08 37 01.86   +18 54 20.4   21.7R 12DS85    290  C~0gbK      
2012 04  22.15926  08 37 01.87   +18 54 20.6   21.2R 12DS85    290  C~0gbK      
2012 04  22.16685  08 37 01.88   +18 54 20.7   21.2R 12DS85    290  C~0gbK      
2012 04  22.21964  08 37 02.00   +18 54 20.8   20.9R 12DS85    290  C~0gbK      
2012 04  22.22342  08 37 02.01   +18 54 20.7   21.9R 12DS85    290  C~0gbK      
2012 04  22.22723  08 37 02.02   +18 54 20.7   21.4R 12DS85    290  C~0gbK      
2012 04  23.15677  08 37 04.25   +18 54 25.5   21.6R 12DS85    290  C~0gbK      
2012 04  23.16057  08 37 04.24   +18 54 25.7   21.7R 12DS85    290  C~0gbK      
2012 04  23.16435  08 37 04.26   +18 54 25.8   21.5R 12DS85    290  C~0gbK      
2012 04  23.16815  08 37 04.31   +18 54 25.9   21.4R 12DS85    290  C~0gbK      
2012 04  23.17194  08 37 04.31   +18 54 25.9   21.3R 12DS85    290  C~0gbK      
2012 04  25.16338  08 37 09.72   +18 54 33.1   21.3R 12DS85    290  C~0gvj      
2012 04  25.17097  08 37 09.76   +18 54 33.4   21.5R 12DS85    290  C~0gvj      
2012 11  20.51012  09 15 46.56   +17 09 48.2   21.5R 12DS85    290  C~0mPN      
2012 11  20.51203  09 15 46.56   +17 09 48.3   21.6R 12DS85    290  C~0mPN      
2012 11  20.51968  09 15 46.56   +17 09 48.4   21.4R 12DS85    290  C~0mPN      
2012 11  20.53306  09 15 46.57   +17 09 48.6   21.5R 12DS85    290  C~0mPN      
2012 11  22.51573  09 15 47.12   +17 10 25.5   21.6R 12DS85    290  C~0mPN      
2012 11  22.52145  09 15 47.11   +17 10 25.7   21.5R 12DS85    290  C~0mPN      
2012 11  22.52336  09 15 47.10   +17 10 25.9   21.5R 12DS85    290  C~0mPN      
2012 11  22.52718  09 15 47.10   +17 10 26.0   21.7R 12DS85    290  C~0mPN      
2012 11  22.53673  09 15 47.09   +17 10 26.1   21.5R 12DS85    290  C~0mPN      
2012 11  23.52395  09 15 47.02   +17 10 46.1   21.6R 12DS85    290  C~0mPN      
2012 11  23.52586  09 15 47.01   +17 10 46.1   21.4R 12DS85    290  C~0mPN      
2012 11  23.53159  09 15 47.01   +17 10 46.2   21.6R 12DS85    290  C~0mPN      
2012 11  23.53539  09 15 47.00   +17 10 46.2   21.5R 12DS85    290  C~0mPN      
2012 11  23.53731  09 15 47.00   +17 10 46.2   21.4R 12DS85    290  C~0mPN      
2012 11  25.52810  09 15 46.13   +17 11 29.4   21.4R 12DS85    290  C~0mPN      
2012 11  25.53001  09 15 46.12   +17 11 29.6   21.6R 12DS85    290  C~0mPN      
2012 11  25.53573  09 15 46.11   +17 11 29.9   21.5R 12DS85    290  C~0mPN      
2012 11  25.53764  09 15 46.11   +17 11 29.3   21.4R 12DS85    290  C~0mPN      
2012 12  08.53579  09 15 17.85   +17 17 55.8   21.7R 12DS85    290  C~0mPN      
2012 12  08.54151  09 15 17.83   +17 17 55.9   21.9R 12DS85    290  C~0mPN      

The following table shows the residuals to the orbit fit. The first coumn is the point number. The second column is the time, in years, measured from the first observation. The third and fifth columns are the regularized positions used in the orbit fit. The fourth and sixth columns are the residuals, in arc seconds, for RA and Dec respectively.

  1   0.0000      0.00    -0.18       0.00     0.04
  2   0.0000     -0.63    -0.12       0.14     0.12
  3   0.0000     -0.70     0.51       0.95     0.86
  4   0.0000     -1.63     0.27       0.60     0.44
  5   0.0000     -2.79    -0.19       0.50     0.28
  6   0.0055   -301.46    -0.15      30.28    -0.43
  7   0.0055   -302.22    -0.24      30.39    -0.39
  8   0.0055   -302.60     0.07      30.70    -0.14
  9   0.0055   -303.36    -0.02      30.81    -0.10
 10   0.0055   -304.10    -0.08      30.82    -0.16
 11   0.0083   -454.40    -0.29      46.43    -0.06
 12   0.0083   -456.87    -0.93      46.29    -0.38
 13   0.0083   -457.41    -0.14      46.67    -0.13
 14   0.0137   -739.33     0.15      76.04    -0.52
 15   0.0137   -740.84    -0.04      76.16    -0.53
 16   0.0137   -742.09    -0.63      76.44    -0.31
 17   0.0193  -1030.11     0.24     108.04     0.23
 18   0.0193  -1031.15    -0.16     108.07     0.20
 19   0.0193  -1031.58     0.04     108.06     0.12
 20   0.0193  -1031.95     0.31     107.76    -0.24
 21   0.0193  -1033.03     0.18     108.50     0.41
 22   0.0193  -1033.58    -0.05     108.36     0.23
 23   0.0194  -1034.70     0.09     108.16    -0.09
 24   0.0220  -1169.54    -0.05     123.08     0.00
 25   0.0220  -1170.00     0.11     123.16     0.02
 26   0.0220  -1171.04    -0.30     123.20    -0.00
 27   0.0221  -1171.50     0.18     123.28    -0.02
 28   0.0221  -1172.04     0.58     123.66     0.26
 29   0.0221  -1172.62     0.62     123.61     0.15
 30   0.0221  -1173.52     0.35     123.68     0.16
 31   0.1557  -4588.97    -0.06     831.96    -0.02
 32   0.1557  -4588.86     0.01     832.09     0.04
 33   0.1584  -4578.51    -0.19     845.32    -0.07
 34   0.1584  -4578.40    -0.12     845.45     0.01
 35   0.1584  -4578.40    -0.15     845.45    -0.02
 36   0.1584  -4578.45    -0.22     845.65     0.15
 37   0.1584  -4578.33    -0.15     845.78     0.22
 38   0.1584  -4578.36    -0.23     845.88     0.26
 39   0.1584  -4578.17    -0.11     845.72     0.02
 40   0.1612  -4564.01    -0.24     859.52     0.16
 41   0.1612  -4563.66     0.08     859.31    -0.09
 42   0.1612  -4563.76    -0.09     859.69     0.24
 43   0.1612  -4563.51     0.00     859.86     0.27
 44   0.1638  -4547.10    -0.61     872.91     0.26
 45   0.1638  -4546.42    -0.01     872.57    -0.14
 46   0.1638  -4546.34     0.04     872.80     0.07
 47   0.1639  -4545.76     0.50     872.84     0.03
 48   0.1639  -4545.40     0.71     873.14     0.21
 49   0.1639  -4545.49     0.54     872.91    -0.07
 50   0.1640  -4545.22    -0.07     873.60    -0.00
 51   0.1641  -4545.09    -0.10     873.64    -0.08
 52   0.1694  -4500.48    -0.29     900.11    -0.03
 53   0.1694  -4500.39    -0.39     900.34     0.10
 54   0.1720  -4472.55     0.16     912.85    -0.55
 55   0.1721  -4472.51     0.09     913.27    -0.18
 56   0.1721  -4472.42     0.07     913.50     0.00
 57   0.1721  -4472.31    -0.03     913.63     0.04
 58   0.1722  -4470.69     0.11     914.16    -0.09
 59   0.1722  -4470.52     0.17     914.10    -0.20
 60   0.1722  -4470.39     0.20     914.13    -0.21
 61   0.1748  -4440.96     0.09     926.74    -0.25
 62   0.1748  -4441.14    -0.22     926.90    -0.13
 63   0.1748  -4440.89    -0.09     927.07    -0.01
 64   0.1748  -4440.23     0.46     927.34     0.21
 65   0.1748  -4440.23     0.34     927.34     0.17
 66   0.1803  -4367.71    -0.28     953.64    -0.39
 67   0.1803  -4367.24    -0.09     954.08    -0.05
 68   0.7534  29319.07    -0.18    4099.96    -0.02
 69   0.7535  29319.04    -0.21    4100.05     0.04
 70   0.7535  29319.01    -0.23    4100.15     0.00
 71   0.7535  29319.09    -0.14    4100.39    -0.01
 72   0.7589  29315.45     0.32    4138.33     0.07
 73   0.7590  29315.25     0.17    4138.48     0.11
 74   0.7590  29315.05    -0.01    4138.63     0.23
 75   0.7590  29315.02    -0.01    4138.73     0.25
 76   0.7590  29314.85    -0.10    4138.78     0.13
 77   0.7617  29307.75     0.17    4157.73     0.22
 78   0.7617  29307.61     0.06    4157.69     0.14
 79   0.7617  29307.58     0.10    4157.78     0.13
 80   0.7617  29307.44     0.00    4157.74     0.02
 81   0.7617  29307.44     0.02    4157.74    -0.02
 82   0.7672  29282.07     0.31    4195.52    -0.27
 83   0.7672  29281.87     0.15    4195.67    -0.16
 84   0.7672  29281.64     0.02    4195.92    -0.02
 85   0.7672  29281.82     0.24    4195.34    -0.63
 86   0.8028  28769.64    -0.36    4443.68    -0.03
 87   0.8028  28769.33    -0.30    4443.69    -0.12

The following table comes from a 10My integration of the orbit of the object. Three columns are shown. The first column is the result of integrating the nominal orbit. The other two columns are based on clones of the nominal orbit that are +/- 3 sigma from the nominal orbit. If all three types agree then the classificiation is deemed secure. The basis for these calculations is described in more detail in AJ, 129, 1117 (2005). Any use made of these calculations should refer to and credit this publication and the Deep Ecliptic Survey Team.

12DS85    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        19.030    19.105    18.956
ecceobj         0.138     0.143     0.133
incobj         16.765    16.765    16.765
qmin           16.160    13.827    16.427
qmax           21.948    24.267    21.485
amean          18.996    19.249    18.931
amin           18.550    18.733    18.911
amax           19.630    19.603    18.956
emean           0.125     0.214     0.131
emin            0.104     0.141     0.130
emax            0.139     0.265     0.133
imean          15.177    12.810    15.257
imin           14.543    11.293    15.186
imax           15.513    15.325    15.304
excite_mean     0.290     0.310     0.294
fracstop        0.002     0.014     0.000
cjmean          3.107     3.085     3.108

libcent 0      -180.0    -180.0    -180.0
libamp  0      -180.0    -180.0    -180.0
libcent 1      -180.0    -180.0    -180.0
libamp  1      -180.0    -180.0    -180.0
libcent 2      -180.0    -180.0    -180.0
libamp  2      -180.0    -180.0    -180.0
libcent 3      -180.0    -180.0    -180.0
libamp  3      -180.0    -180.0    -180.0
libcent 4      -180.0    -180.0    -180.0
libamp  4      -180.0    -180.0    -180.0

kozaimean       286.4     206.7     302.5
kozaiamp         19.7     179.3       1.8