Orbit Fit and Astrometric record for 12GT41

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: 12GT41    
# Created Sat Feb 29 02:10:34 2020
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting   98 observations of   98
# Arc:   8.47y
# First observation: 2011/02/02
#  Last observation: 2019/07/25
# Chi-squared of fit:    80.66 DOF:  190 RMS:  0.16
# Min/Max residuals:    -0.59    0.61
# Exact a, adot, b, bdot, g, gdot:
  2.565355E-05  9.522134E-02  8.133669E-06  2.831992E-02  5.823615E-02 -1.537017E-02
# Covariance matrix:
  1.6522E-13 -4.5142E-14  1.7406E-14 -1.0487E-14  1.8580E-14 -3.2868E-14
 -4.5142E-14  1.8452E-14 -1.0542E-14  5.1291E-15  3.0280E-15  1.4754E-14
  1.7406E-14 -1.0542E-14  8.7677E-14 -1.7537E-14 -5.7576E-15 -9.4314E-15
 -1.0487E-14  5.1291E-15 -1.7537E-14  4.5331E-15  6.9014E-16  4.8924E-15
  1.8580E-14  3.0280E-15 -5.7576E-15  6.9014E-16  2.6311E-14 -8.3937E-16
 -3.2868E-14  1.4754E-14 -9.4314E-15  4.8924E-15 -8.3937E-16  1.4479E-14
#      lat0       lon0       xBary       yBary       zBary        JD0
   24.965404 -165.342223    0.866487    0.201011   -0.431797  2455595.165486
# Heliocentric elements and errors
Epoch:              2455594.5000  =  2011/02/02
Mean Anomaly:          340.60329 +/-     0.001
Argument of Peri:       99.75565 +/-     0.001
Long of Asc Node:      139.72580 +/-     0.000
Inclination:            29.84724 +/-     0.000
Eccentricity:         0.37883797 +/-    0.0000
Semi-Major Axis:     26.17946045 +/-    0.0005
Time of Perihelion: 2458230.6198 +/-       1.3
Perihelion:          16.26168685 +/-    0.0004
Aphelion:            36.09723405 +/-    0.0007
Period (y)              133.9520 +/-      0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -15.73611465 +/-    0.0000
Ecliptic Y           -3.22231337 +/-    0.0000
Ecliptic Z            7.24770623 +/-    0.0000
Ecliptic XDOT         0.00230910 +/-    0.0000
Ecliptic YDOT        -0.00401689 +/-    0.0000
Ecliptic ZDOT         0.00090202 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   17.62217837 +/-    0.0000
Geocenter to KBO     17.17156614 +/-    0.0000
# Hcoef:  9.58

The following table shows the complete astrometric record for 12GT41. 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 (12GT41) followed by the observatory code and reference code for the source of the astrometry.

2011 02  02.66472  13 33 20.472  +17 13 01.30  23.0G 12GT41    F51  C~345s      
2011 03  26.52811  13 28 44.502  +18 45 48.81  21.8G 12GT41    F51  C~345s      
2011 03  26.53874  13 28 44.385  +18 45 49.60  21.8G 12GT41    F51  C~345s      
2011 03  26.55201  13 28 44.287  +18 45 50.79  21.5G 12GT41    F51  C~345s      
2011 03  26.56343  13 28 44.133  +18 45 51.99  23.7G 12GT41    F51  C~345s      
2012 02  05.57318  13 57 17.744  +16 28 59.54  22.2G 12GT41    F51  C~345s      
2012 04  02.56510  13 52 24.590  +18 11 08.92  22.5G 12GT41    F51  C~345s      
2012 04  02.57661  13 52 24.459  +18 11 09.89  22.1G 12GT41    F51  C~345s      
2012 07  29.25045  13 43 09.953  +17 28 41.07  21.4G 12GT41    F51  C~345s      
2012 07  29.26182  13 43 10.069  +17 28 39.75  21.8G 12GT41    F51  C~345s      
2013 04  29.49152  14 13 34.413  +17 43 10.74  21.7G 12GT41    F51  C~345s      
2013 04  29.50311  14 13 34.281  +17 43 11.38  21.8G 12GT41    F51  C~345s      
2013 05  03.34943  14 12 55.265  +17 45 55.45  21.4G 12GT41    F51  C~345s      
2013 05  03.36040  14 12 55.151  +17 45 55.75  21.2G 12GT41    F51  C~345s      
2013 05  03.48346  14 12 53.863  +17 46 00.64  22.1G 12GT41    F51  C~345s      
2013 05  03.49417  14 12 53.771  +17 46 00.97  21.8G 12GT41    F51  C~345s      
2013 05  10.48862  14 11 44.287  +17 49 37.18  21.7G 12GT41    F51  C~345s      
2013 07  25.29583  14 06 41.653  +16 44 15.99  22.0G 12GT41    F51  C~345s      
2013 07  25.32004  14 06 41.750  +16 44 13.36  22.5G 12GT41    F51  C~345s      
2014 03  05.66671  14 46 46.065  +15 06 47.15  22.6G 12GT41    F51  C~345s      
2014 03  13.50225  14 46 15.565  +15 21 39.14  21.6G 12GT41    F51  C~345s      
2014 03  13.51278  14 46 15.548  +15 21 40.03  22.6G 12GT41    F51  C~345s      
2014 03  13.52376  14 46 15.474  +15 21 41.53  22.3G 12GT41    F51  C~345s      
2014 03  13.53430  14 46 15.404  +15 21 42.49  21.5G 12GT41    F51  C~345s      
2015 03  31.47475  15 10 39.273  +14 26 50.12  22.0G 12GT41    F51  C~345s      
2015 03  31.48739  15 10 39.183  +14 26 51.41  21.7G 12GT41    F51  C~345s      
2015 03  31.50009  15 10 39.098  +14 26 52.66  21.8G 12GT41    F51  C~345s      
2015 04  01.64819  15 10 30.950  +14 28 49.46  20.8G 12GT41    F51  C~345s      
2015 06  05.42711  15 00 07.357  +15 19 49.97  22.0G 12GT41    F51  C~345s      
2015 06  05.44010  15 00 07.236  +15 19 50.11  21.6G 12GT41    F51  C~345s      
2015 06  05.45302  15 00 07.099  +15 19 49.37  22.1G 12GT41    F51  C~345s      
2015 06  05.46599  15 00 06.984  +15 19 49.22  21.5G 12GT41    F51  C~345s      
2015 06  06.26416  15 00 00.029  +15 19 32.62  21.9G 12GT41    F51  C~345s      
2015 06  06.27765  14 59 59.909  +15 19 32.39  21.6G 12GT41    F51  C~345s      
2015 06  06.29102  14 59 59.787  +15 19 32.00  21.6G 12GT41    F51  C~345s      
2015 06  06.30452  14 59 59.660  +15 19 31.75  21.7G 12GT41    F51  C~345s      
2015 07  01.33618  14 57 09.352  +14 59 34.88  21.9G 12GT41    F51  C~345s      
2015 07  01.34724  14 57 09.306  +14 59 34.22  22.1G 12GT41    F51  C~345s      
2015 07  01.35824  14 57 09.247  +14 59 33.34  22.1G 12GT41    F51  C~345s      
2015 07  01.36925  14 57 09.207  +14 59 32.51  20.9G 12GT41    F51  C~345s      
2015 07  02.33021  14 57 04.918  +14 58 22.10  22.1G 12GT41    F51  C~345s      
2015 07  02.34129  14 57 04.874  +14 58 21.64  21.5G 12GT41    F51  C~345s      
2015 07  02.35230  14 57 04.816  +14 58 20.51  21.7G 12GT41    F51  C~345s      
2015 07  02.36330  14 57 04.776  +14 58 19.90  21.9G 12GT41    F51  C~345s      
2015 07  03.33595  14 57 00.631  +14 57 07.26  21.8G 12GT41    F51  C~345s      
2015 07  03.34756  14 57 00.578  +14 57 06.07  21.8G 12GT41    F51  C~345s      
2015 07  03.35918  14 57 00.537  +14 57 05.17  22.1G 12GT41    F51  C~345s      
2015 07  03.37077  14 57 00.484  +14 57 04.30  22.3G 12GT41    F51  C~345s      
2016 03  07.65252  15 38 19.964  +12 07 23.79  21.7G 12GT41    F51  C~345s      
2016 03  08.65253  15 38 19.131  +12 09 12.40  20.8G 12GT41    F51  C~345s      
2016 03  10.64885  15 38 16.674  +12 12 49.45  22.0G 12GT41    F51  C~345s      
2016 03  19.51373  15 37 54.592  +12 28 51.20  21.0G 12GT41    F51  C~345s      
2016 03  19.52572  15 37 54.521  +12 28 52.37  20.8G 12GT41    F51  C~345s      
2016 03  19.53783  15 37 54.519  +12 28 53.39  20.9G 12GT41    F51  C~345s      
2016 03  19.55042  15 37 54.444  +12 28 54.59  20.7G 12GT41    F51  C~345s      
2016 04  15.56769  15 35 06.297  +13 13 19.40  21.6G 12GT41    F51  C~345s      
2016 04  15.57956  15 35 06.195  +13 13 20.54  21.6G 12GT41    F51  C~345s      
2016 04  15.59138  15 35 06.093  +13 13 21.37  21.8G 12GT41    F51  C~345s      
2016 04  15.60323  15 35 05.992  +13 13 22.41  21.6G 12GT41    F51  C~345s      
2016 05  16.48737  15 29 57.852  +13 43 34.77  20.8G 12GT41    F51  C~345s      
2016 05  24.44443  15 28 33.734  +13 46 15.99  21.5G 12GT41    F51  C~345s      
2016 05  24.45590  15 28 33.606  +13 46 16.14  22.6G 12GT41    F51  C~345s      
2016 05  24.46735  15 28 33.497  +13 46 16.20  22.4G 12GT41    F51  C~345s      
2016 05  24.47880  15 28 33.367  +13 46 16.45  21.3G 12GT41    F51  C~345s      
2016 06  03.30930  15 26 53.565  +13 46 23.16  21.1G 12GT41    F51  C~345s      
2016 06  03.32078  15 26 53.455  +13 46 23.19  21.2G 12GT41    F51  C~345s      
2016 06  03.33230  15 26 53.338  +13 46 23.16  21.2G 12GT41    F51  C~345s      
2016 06  03.34381  15 26 53.225  +13 46 23.00  21.4G 12GT41    F51  C~345s      
2016 06  10.26823  15 25 47.854  +13 44 19.00  21.6G 12GT41    F51  C~345s      
2016 06  10.31213  15 25 47.462  +13 44 17.97  21.7G 12GT41    F51  C~345s      
2016 06  10.32334  15 25 47.364  +13 44 17.54  21.2G 12GT41    F51  C~345s      
2016 06  10.33332  15 25 47.247  +13 44 17.43  21.7G 12GT41    F51  C~345s      
2017 04  20.58639  16 01 01.035  +11 31 21.68  21.8G 12GT41    F51  C~345s      
2017 04  20.59697  16 01 00.947  +11 31 22.69  21.5G 12GT41    F51  C~345s      
2017 04  20.60452  16 01 00.867  +11 31 23.24  22.0G 12GT41    F51  C~345s      
2017 04  20.61210  16 01 00.817  +11 31 23.91  22.0G 12GT41    F51  C~345s      
2017 05  05.41576  15 58 42.671  +11 48 06.78  22.0G 12GT41    F51  C~345s      
2017 05  05.42851  15 58 42.528  +11 48 07.20  21.5G 12GT41    F51  C~345s      
2017 05  05.44122  15 58 42.422  +11 48 08.24  22.3G 12GT41    F51  C~345s      
2017 05  05.45399  15 58 42.273  +11 48 09.21  21.5G 12GT41    F51  C~345s      
2017 05  17.46257  15 56 36.722  +11 56 57.23  21.3G 12GT41    F51  C~345s      
2017 05  17.47398  15 56 36.593  +11 56 57.75  21.4G 12GT41    F51  C~345s      
2017 05  17.48538  15 56 36.459  +11 56 58.02  21.6G 12GT41    F51  C~345s      
2017 05  17.49676  15 56 36.337  +11 56 58.45  21.4G 12GT41    F51  C~345s      
2017 05  29.46024  15 54 28.044  +12 00 54.37  21.5G 12GT41    F51  C~345s      
2017 05  29.47294  15 54 27.901  +12 00 54.82  21.2G 12GT41    F51  C~345s      
2017 05  29.48564  15 54 27.768  +12 00 54.47  21.7G 12GT41    F51  C~345s      
2017 05  29.49835  15 54 27.642  +12 00 54.71  21.6G 12GT41    F51  C~345s      
2017 05  31.47935  15 54 06.688  +12 01 03.87  21.6G 12GT41    F51  C~345s      
2017 05  31.49036  15 54 06.572  +12 01 04.03  21.5G 12GT41    F51  C~345s      
2017 05  31.50132  15 54 06.450  +12 01 04.07  21.4G 12GT41    F51  C~345s      
2017 05  31.51234  15 54 06.337  +12 01 03.99  21.3G 12GT41    F51  C~345s      
2018 06  14.46209  16 18 19.176  +10 04 28.20  21.6G 12GT41    F51  C~345s      
2018 06  14.47418  16 18 19.046  +10 04 27.77  21.7G 12GT41    F51  C~345s      
2019 07  25.33361  16 38 57.723  +07 27 02.64  21.8w 12GT41    F51  C~39oO      
2019 07  25.34573  16 38 57.626  +07 27 01.20  22.1w 12GT41    F51  C~39oO      
2019 07  25.35779  16 38 57.592  +07 27 00.46  22.0w 12GT41    F51  C~39oO      
2019 07  25.36985  16 38 57.517  +07 26 59.23  21.9w 12GT41    F51  C~39oO      

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     0.00       0.00    -0.10
  2   0.1420      0.00     0.14       0.00    -0.01
  3   0.1420      0.00    -0.13       0.00    -0.20
  4   0.1421      0.00     0.26       0.00    -0.23
  5   0.1421      0.00    -0.45       0.00    -0.08
  6   1.0073      0.00    -0.06       0.00    -0.18
  7   1.1633      0.00     0.18       0.00     0.08
  8   1.1633      0.00    -0.13       0.00     0.05
  9   1.4855      0.00    -0.15       0.00     0.10
 10   1.4855      0.00     0.61       0.00     0.05
 11   2.2363      0.00     0.15       0.00    -0.02
 12   2.2364      0.00    -0.02       0.00     0.08
 13   2.2469      0.00    -0.02       0.00     0.08
 14   2.2469      0.00    -0.04       0.00    -0.05
 15   2.2473      0.00    -0.31       0.00     0.11
 16   2.2473      0.00    -0.04       0.00     0.03
 17   2.2665      0.00    -0.01       0.00     0.13
 18   2.4740      0.00    -0.11       0.00     0.06
 19   2.4741      0.00     0.06       0.00     0.09
 20   3.0856      0.00    -0.17       0.00    -0.31
 21   3.1070      0.00    -0.03       0.00     0.10
 22   3.1070      0.00     0.49       0.00    -0.20
 23   3.1071      0.00     0.20       0.00     0.06
 24   3.1071      0.00    -0.07       0.00    -0.17
 25   4.1555      0.00    -0.06       0.00    -0.04
 26   4.1556      0.00    -0.05       0.00    -0.04
 27   4.1556      0.00     0.04       0.00    -0.08
 28   4.1588      0.00     0.05       0.00     0.49
 29   4.3361      0.00     0.21       0.00     0.11
 30   4.3361      0.00     0.15       0.00     0.51
 31   4.3362      0.00    -0.16       0.00     0.03
 32   4.3362      0.00    -0.13       0.00     0.15
 33   4.3384      0.00     0.02       0.00     0.04
 34   4.3384      0.00     0.02       0.00     0.09
 35   4.3385      0.00    -0.01       0.00    -0.02
 36   4.3385      0.00    -0.11       0.00     0.02
 37   4.4070      0.00    -0.03       0.00    -0.03
 38   4.4071      0.00     0.07       0.00     0.11
 39   4.4071      0.00    -0.03       0.00     0.03
 40   4.4071      0.00     0.15       0.00     0.00
 41   4.4098      0.00    -0.03       0.00    -0.14
 42   4.4098      0.00     0.06       0.00     0.22
 43   4.4098      0.00    -0.05       0.00    -0.09
 44   4.4099      0.00     0.10       0.00     0.12
 45   4.4125      0.00    -0.04       0.00     0.31
 46   4.4125      0.00    -0.08       0.00     0.00
 47   4.4126      0.00     0.06       0.00    -0.01
 48   4.4126      0.00     0.02       0.00    -0.00
 49   5.0924      0.00     0.01       0.00    -0.00
 50   5.0951      0.00     0.25       0.00     0.10
 51   5.1006      0.00    -0.29       0.00     0.13
 52   5.1248      0.00    -0.19       0.00     0.00
 53   5.1249      0.00    -0.59       0.00    -0.12
 54   5.1249      0.00     0.05       0.00    -0.41
 55   5.1249      0.00    -0.37       0.00    -0.57
 56   5.1989      0.00     0.03       0.00     0.00
 57   5.1989      0.00     0.06       0.00     0.14
 58   5.1990      0.00     0.08       0.00    -0.03
 59   5.1990      0.00     0.12       0.00     0.01
 60   5.2836      0.00    -0.01       0.00    -0.21
 61   5.3054      0.00     0.01       0.00    -0.01
 62   5.3054      0.00    -0.07       0.00     0.01
 63   5.3054      0.00     0.12       0.00    -0.06
 64   5.3054      0.00     0.00       0.00     0.06
 65   5.3324      0.00    -0.06       0.00    -0.16
 66   5.3324      0.00     0.02       0.00    -0.02
 67   5.3324      0.00    -0.01       0.00     0.07
 68   5.3325      0.00     0.02       0.00     0.02
 69   5.3514      0.00    -0.16       0.00     0.03
 70   5.3515      0.00     0.05       0.00     0.11
 71   5.3516      0.00     0.14       0.00    -0.04
 72   5.3516      0.00    -0.22       0.00     0.11
 73   6.2120      0.00    -0.00       0.00    -0.13
 74   6.2120      0.00     0.04       0.00     0.05
 75   6.2120      0.00    -0.18       0.00     0.00
 76   6.2120      0.00     0.05       0.00     0.08
 77   6.2526      0.00     0.13       0.00    -0.02
 78   6.2526      0.00    -0.05       0.00    -0.31
 79   6.2526      0.00     0.33       0.00     0.03
 80   6.2527      0.00     0.07       0.00     0.29
 81   6.2856      0.00     0.10       0.00    -0.13
 82   6.2856      0.00     0.04       0.00     0.02
 83   6.2856      0.00    -0.10       0.00    -0.07
 84   6.2856      0.00    -0.07       0.00    -0.01
 85   6.3184      0.00    -0.03       0.00     0.02
 86   6.3184      0.00    -0.11       0.00     0.39
 87   6.3185      0.00    -0.05       0.00    -0.05
 88   6.3185      0.00     0.13       0.00     0.11
 89   6.3239      0.00     0.05       0.00    -0.13
 90   6.3240      0.00     0.08       0.00     0.00
 91   6.3240      0.00     0.01       0.00     0.02
 92   6.3240      0.00     0.09       0.00    -0.08
 93   7.3615      0.00    -0.05       0.00     0.15
 94   7.3616      0.00    -0.12       0.00    -0.02
 95   8.4727      0.00     0.14       0.00     0.08
 96   8.4728      0.00    -0.35       0.00    -0.30
 97   8.4728      0.00     0.10       0.00     0.02
 98   8.4728      0.00    -0.06       0.00    -0.15

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.

12GT41    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        26.187    26.187    26.187
ecceobj         0.378     0.378     0.378
incobj         29.855    29.855    29.855
qmin           16.206    16.206    16.205
qmax           36.535    36.536    36.534
amean          26.099    26.291    26.232
amin           25.532    26.040    25.713
amax           26.472    26.635    26.471
emean           0.350     0.365     0.368
emin            0.313     0.340     0.350
emax            0.382     0.382     0.382
imean          29.539    29.154    29.062
imin           28.495    28.495    28.495
imax           30.687    30.135    29.972
excite_mean     0.605     0.609     0.609
fracstop        0.012     0.009     0.008
cjmean          2.674     2.669     2.670

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       116.2     112.6     110.7
kozaiamp         17.4      14.1      12.7