Orbit Fit and Astrometric record for 12XR157

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: 12XR157   
# Created Fri Dec 14 02:09:27 2018
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting   90 observations of   90
# Arc:  11.90y
# First observation: 2006/01/31
#  Last observation: 2017/12/25
# Chi-squared of fit:    65.10 DOF:  174 RMS:  0.15
# Min/Max residuals:    -0.58    0.63
# Exact a, adot, b, bdot, g, gdot:
  1.372138E-05  2.002416E-02 -8.097242E-06 -1.105110E-02  2.337574E-02 -5.220323E-03
# Covariance matrix:
  3.1073E-13 -5.9791E-14 -7.1204E-14  2.3432E-14 -6.4934E-14 -1.3614E-13
 -5.9791E-14  1.6811E-14  2.3359E-14 -8.1362E-15  7.4298E-15  4.6975E-14
 -7.1204E-14  2.3359E-14  1.7966E-13 -2.7345E-14  1.3644E-14  7.2416E-14
  2.3432E-14 -8.1362E-15 -2.7345E-14  6.0956E-15 -2.9948E-15 -2.5374E-14
 -6.4934E-14  7.4298E-15  1.3644E-14 -2.9948E-15  5.8590E-14  1.8390E-14
 -1.3614E-13  4.6975E-14  7.2416E-14 -2.5374E-14  1.8390E-14  1.4641E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
   -9.634322   59.301275   -0.933855   -0.052106   -0.307658  2453766.697730
# Heliocentric elements and errors
Epoch:              2453766.5000  =  2006/01/31
Mean Anomaly:          306.92994 +/-     0.005
Argument of Peri:      276.68940 +/-     0.008
Long of Asc Node:      223.62199 +/-     0.000
Inclination:            30.03650 +/-     0.000
Eccentricity:         0.22675295 +/-    0.0000
Semi-Major Axis:     47.69320198 +/-    0.0022
Time of Perihelion: 2471501.4603 +/-       7.4
Perihelion:          36.87862751 +/-    0.0020
Aphelion:            58.50777646 +/-    0.0029
Period (y)              329.3767 +/-      0.02
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           20.88385439 +/-    0.0002
Ecliptic Y           37.00855818 +/-    0.0004
Ecliptic Z           -7.15987415 +/-    0.0001
Ecliptic XDOT        -0.00243200 +/-    0.0000
Ecliptic YDOT         0.00048653 +/-    0.0000
Ecliptic ZDOT        -0.00117377 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   43.09343988 +/-    0.0003
Geocenter to KBO     42.77958884 +/-    0.0004
# Hcoef:  6.27

The following table shows the complete astrometric record for 12XR157. 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 (12XR157) followed by the observatory code and reference code for the source of the astrometry.

2006 01  31.196976 03 56 48.155  +10 34 59.04  21.3R 12XR157   645  C~12zr      
2006 01  31.197805 03 56 48.149  +10 34 58.96        12XR157   645  C~12zr      
2006 01  31.200293 03 56 48.154  +10 34 59.10  21.1R 12XR157   645  C~12zr      
2007 11  15.541838 04 11 57.901  +10 00 15.26  21.7R 12XR157   568  C~12zr      
2007 11  15.605510 04 11 57.594  +10 00 13.82  21.7R 12XR157   568  C~12zr      
2007 11  16.541586 04 11 53.143  +09 59 53.19  21.6R 12XR157   568  C~12zr      
2007 11  16.617639 04 11 52.782  +09 59 51.52  22.0R 12XR157   568  C~12zr      
2010 11  11.53337  04 28 13.062  +08 45 27.25  21.9G 12XR157   F51  C~2kOe      
2011 10  23.44692  04 34 56.839  +08 27 07.29  22.2G 12XR157   F51  C~2kOe      
2011 10  23.46181  04 34 56.782  +08 27 07.10  22.9G 12XR157   F51  C~2kOe      
2011 10  23.47669  04 34 56.734  +08 27 06.80  22.6G 12XR157   F51  C~2kOe      
2011 10  23.49161  04 34 56.680  +08 27 06.48  22.9G 12XR157   F51  C~2kOe      
2011 12  01.34048  04 32 03.284  +08 12 21.18  22.4G 12XR157   F51  C~2kOe      
2011 12  01.35433  04 32 03.221  +08 12 20.87  22.0G 12XR157   F51  C~2kOe      
2011 12  01.36819  04 32 03.143  +08 12 20.67  22.5G 12XR157   F51  C~2kOe      
2011 12  01.38204  04 32 03.081  +08 12 20.52  22.5G 12XR157   F51  C~2kOe      
2012 12  09.35165  04 36 46.811  +07 43 07.05  22.9G 12XR157   F51  C~2kOe      
2012 12  09.36895  04 36 46.744  +07 43 06.76  22.1G 12XR157   F51  C~2kOe      
2012 12  09.38379  04 36 46.670  +07 43 06.37  22.8G 12XR157   F51  C~2kOe      
2012 12  09.39873  04 36 46.586  +07 43 06.34  22.4G 12XR157   F51  C~2kOe      
2012 12  11.11458  04 36 38.110  +07 42 43.80        12XR157   807  C~12zr      
2012 12  11.16323  04 36 37.895  +07 42 43.11  22.0r 12XR157   807  C~12zr      
2012 12  11.21286  04 36 37.634  +07 42 42.67        12XR157   807  C~12zr      
2013 01  08.28482  04 34 32.860  +07 39 24.80  22.2G 12XR157   F51  C~2kOe      
2013 01  08.29859  04 34 32.806  +07 39 24.86  22.7G 12XR157   F51  C~2kOe      
2013 01  08.32629  04 34 32.699  +07 39 25.06  22.4G 12XR157   F51  C~2kOe      
2013 03  10.06119  04 33 21.643  +07 49 40.90        12XR157   304  C~12zr      
2013 03  11.05824  04 33 23.471  +07 49 59.57        12XR157   304  C~12zr      
2013 10  29.26597  04 45 28.292  +07 29 56.85  22.0r 12XR157   304  C~12zr      
2013 10  29.28980  04 45 28.198  +07 29 56.23        12XR157   304  C~12zr      
2013 10  30.33490  04 45 24.196  +07 29 28.62        12XR157   304  C~12zs      
2013 11  29.52152  04 43 06.398  +07 18 13.30  22.4G 12XR157   F51  C~2kOe      
2013 12  29.39441  04 40 41.987  +07 12 33.05  22.7G 12XR157   F51  C~2kOe      
2013 12  29.40822  04 40 41.922  +07 12 32.81  22.6G 12XR157   F51  C~2kOe      
2013 12  29.42202  04 40 41.860  +07 12 33.04  22.9G 12XR157   F51  C~2kOe      
2014 01  21.25138  04 39 16.678  +07 12 37.13  22.2G 12XR157   F51  C~2kOe      
2014 01  21.26429  04 39 16.641  +07 12 37.10  22.1G 12XR157   F51  C~2kOe      
2014 01  21.27729  04 39 16.611  +07 12 37.22  22.0G 12XR157   F51  C~2kOe      
2014 01  21.29036  04 39 16.576  +07 12 37.19  21.8G 12XR157   F51  C~2kOe      
2014 09  18.59023  04 52 26.150  +07 21 32.17  22.8G 12XR157   F51  C~2kOe      
2015 01  15.22806  04 45 05.337  +06 44 24.79  22.0G 12XR157   F51  C~2kOe      
2015 01  15.22878  04 45 05.338  +06 44 24.89  22.5G 12XR157   F51  C~2kOe      
2015 01  15.23955  04 45 05.302  +06 44 25.08  21.9G 12XR157   F51  C~2kOe      
2015 01  15.24027  04 45 05.301  +06 44 25.00  22.6G 12XR157   F51  C~2kOe      
2015 01  15.25105  04 45 05.256  +06 44 24.95  22.5G 12XR157   F51  C~2kOe      
2015 01  15.25177  04 45 05.255  +06 44 24.96  22.7G 12XR157   F51  C~2kOe      
2015 01  15.26259  04 45 05.218  +06 44 25.05  22.4G 12XR157   F51  C~2kOe      
2015 01  15.26334  04 45 05.222  +06 44 25.10  22.6G 12XR157   F51  C~2kOe      
2015 10  21.56633  04 56 59.766  +06 37 13.42  22.2G 12XR157   F51  C~2kOe      
2015 11  02.58047  04 56 17.359  +06 31 41.31  22.7G 12XR157   F51  C~2kOe      
2015 11  03.55594  04 56 13.500  +06 31 15.60  22.3G 12XR157   F51  C~2kOe      
2015 11  18.46992  04 55 08.118  +06 25 16.68  22.5G 12XR157   F51  C~2kOe      
2015 12  03.36029  04 53 55.038  +06 20 33.88  22.4G 12XR157   F51  C~2kOe      
2015 12  03.37229  04 53 54.976  +06 20 33.74  22.5G 12XR157   F51  C~2kOe      
2015 12  03.38433  04 53 54.918  +06 20 33.49  22.7G 12XR157   F51  C~2kOe      
2015 12  03.39644  04 53 54.850  +06 20 33.37  22.3G 12XR157   F51  C~2kOe      
2016 01  01.33984  04 51 33.683  +06 15 57.01  22.4G 12XR157   F51  C~2kOe      
2016 01  01.36550  04 51 33.559  +06 15 56.92  21.6G 12XR157   F51  C~2kOe      
2016 01  01.37840  04 51 33.500  +06 15 56.93  21.6G 12XR157   F51  C~2kOe      
2016 01  14.37059  04 50 40.268  +06 15 59.41  22.3G 12XR157   F51  C~2kOe      
2016 01  29.30760  04 49 53.369  +06 17 35.10  22.3G 12XR157   F51  C~2kOe      
2016 10  13.58035  05 02 53.462  +06 11 50.74  21.9G 12XR157   F51  C~2kOe      
2016 12  22.36027  04 57 51.565  +05 47 38.38  22.3G 12XR157   F51  C~2kOe      
2016 12  22.37316  04 57 51.509  +05 47 38.34  22.6G 12XR157   F51  C~2kOe      
2016 12  22.38607  04 57 51.456  +05 47 38.20  22.3G 12XR157   F51  C~2kOe      
2017 01  21.27917  04 55 46.425  +05 47 47.60  23.0G 12XR157   F51  C~2kOe      
2017 01  24.25745  04 55 37.110  +05 48 10.87  22.4G 12XR157   F51  C~2kOe      
2017 01  28.27968  04 55 25.630  +05 48 47.74  21.9G 12XR157   F51  C~2kOe      
2017 01  28.29236  04 55 25.595  +05 48 47.96  22.3G 12XR157   F51  C~2kOe      
2017 01  28.30509  04 55 25.572  +05 48 48.11  22.3G 12XR157   F51  C~2kOe      
2017 01  28.31783  04 55 25.537  +05 48 48.15  22.4G 12XR157   F51  C~2kOe      
2017 02  14.25731  04 54 53.036  +05 52 30.74  21.8G 12XR157   F51  C~2kOe      
2017 02  14.26860  04 54 53.015  +05 52 30.72  22.1G 12XR157   F51  C~2kOe      
2017 02  14.27996  04 54 53.008  +05 52 31.13  21.7G 12XR157   F51  C~2kOe      
2017 02  14.29128  04 54 52.996  +05 52 31.45  22.2G 12XR157   F51  C~2kOe      
2017 11  24.50227  05 05 50.290  +05 24 15.07  22.0G 12XR157   F51  C~2kOe      
2017 11  24.51536  05 05 50.217  +05 24 15.02  22.2G 12XR157   F51  C~2kOe      
2017 11  24.52845  05 05 50.142  +05 24 14.94  22.3G 12XR157   F51  C~2kOe      
2017 12  08.43383  05 04 40.331  +05 20 24.84  22.5G 12XR157   F51  C~2kOe      
2017 12  20.33792  05 03 40.024  +05 18 19.55  22.3R 12XR157   G37  C~2Uwp      
2017 12  20.40947  05 03 39.664  +05 18 18.97        12XR157   G37  C~2Uwp      
2017 12  20.46154  05 03 39.389  +05 18 18.56        12XR157   G37  C~2Uwp      
2017 12  23.31659  05 03 25.282  +05 17 59.29  22.2G 12XR157   F51  C~2kOe      
2017 12  23.32794  05 03 25.238  +05 17 59.03  22.4G 12XR157   F51  C~2kOe      
2017 12  23.33942  05 03 25.189  +05 17 59.04  22.2G 12XR157   F51  C~2kOe      
2017 12  23.35096  05 03 25.129  +05 17 58.96  22.3G 12XR157   F51  C~2kOe      
2017 12  25.41440  05 03 15.052  +05 17 47.31  22.3G 12XR157   F51  C~2kOe      
2017 12  25.42652  05 03 15.001  +05 17 47.33  22.5G 12XR157   F51  C~2kOe      
2017 12  25.43868  05 03 14.942  +05 17 47.38  22.0G 12XR157   F51  C~2kOf      
2017 12  25.45088  05 03 14.860  +05 17 47.20  22.3G 12XR157   F51  C~2kOf      

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    -0.06       0.00     0.12
  2   0.0000      0.00    -0.14       0.00     0.03
  3   0.0000      0.00    -0.02       0.00     0.17
  4   1.7888      0.00     0.13       0.00    -0.14
  5   1.7889      0.00     0.11       0.00    -0.15
  6   1.7915      0.00    -0.00       0.00    -0.06
  7   1.7917      0.00     0.08       0.00    -0.04
  8   4.7785      0.00    -0.02       0.00    -0.04
  9   5.7255      0.00     0.09       0.00    -0.33
 10   5.7256      0.00     0.04       0.00    -0.12
 11   5.7256      0.00     0.13       0.00    -0.02
 12   5.7257      0.00     0.13       0.00     0.05
 13   5.8320      0.00    -0.04       0.00    -0.04
 14   5.8321      0.00     0.06       0.00    -0.11
 15   5.8321      0.00    -0.06       0.00    -0.07
 16   5.8321      0.00     0.06       0.00     0.02
 17   6.8560      0.00    -0.10       0.00     0.11
 18   6.8560      0.00     0.20       0.00     0.06
 19   6.8561      0.00     0.20       0.00    -0.12
 20   6.8561      0.00     0.07       0.00     0.05
 21   6.8608      0.00    -0.24       0.00     0.32
 22   6.8610      0.00     0.18       0.00     0.27
 23   6.8611      0.00    -0.02       0.00     0.47
 24   6.9380      0.00    -0.09       0.00    -0.14
 25   6.9380      0.00    -0.11       0.00    -0.07
 26   6.9381      0.00    -0.12       0.00     0.16
 27   7.1044      0.00    -0.31       0.00     0.02
 28   7.1071      0.00     0.63       0.00     0.60
 29   7.7428      0.00    -0.56       0.00    -0.06
 30   7.7429      0.00    -0.58       0.00    -0.04
 31   7.7458      0.00    -0.17       0.00    -0.08
 32   7.8284      0.00    -0.05       0.00     0.14
 33   7.9102      0.00     0.14       0.00    -0.10
 34   7.9102      0.00     0.09       0.00    -0.27
 35   7.9103      0.00     0.09       0.00     0.03
 36   7.9728      0.00    -0.09       0.00     0.02
 37   7.9728      0.00    -0.06       0.00    -0.07
 38   7.9728      0.00     0.08       0.00    -0.02
 39   7.9729      0.00     0.14       0.00    -0.12
 40   8.6308      0.00    -0.03       0.00     0.01
 41   8.9556      0.00    -0.15       0.00    -0.21
 42   8.9556      0.00    -0.09       0.00    -0.11
 43   8.9556      0.00    -0.05       0.00     0.04
 44   8.9556      0.00    -0.03       0.00    -0.04
 45   8.9557      0.00    -0.12       0.00    -0.12
 46   8.9557      0.00    -0.10       0.00    -0.11
 47   8.9557      0.00    -0.07       0.00    -0.06
 48   8.9557      0.00     0.03       0.00    -0.01
 49   9.7204      0.00     0.19       0.00    -0.10
 50   9.7533      0.00     0.05       0.00    -0.12
 51   9.7559      0.00     0.10       0.00    -0.19
 52   9.7968      0.00    -0.01       0.00     0.13
 53   9.8375      0.00     0.03       0.00     0.05
 54   9.8376      0.00     0.02       0.00     0.10
 55   9.8376      0.00     0.07       0.00     0.04
 56   9.8376      0.00    -0.02       0.00     0.11
 57   9.9169      0.00     0.09       0.00    -0.01
 58   9.9170      0.00    -0.03       0.00    -0.03
 59   9.9170      0.00    -0.03       0.00     0.02
 60   9.9526      0.00    -0.04       0.00    -0.24
 61   9.9935      0.00    -0.07       0.00     0.06
 62  10.7006      0.00    -0.02       0.00     0.13
 63  10.8916      0.00    -0.08       0.00     0.06
 64  10.8917      0.00     0.04       0.00     0.11
 65  10.8917      0.00     0.21       0.00     0.05
 66  10.9735      0.00    -0.37       0.00     0.06
 67  10.9817      0.00    -0.00       0.00     0.13
 68  10.9927      0.00    -0.02       0.00    -0.16
 69  10.9927      0.00    -0.01       0.00    -0.06
 70  10.9928      0.00     0.17       0.00    -0.04
 71  10.9928      0.00     0.17       0.00    -0.13
 72  11.0392      0.00     0.05       0.00     0.01
 73  11.0392      0.00    -0.06       0.00    -0.18
 74  11.0392      0.00     0.04       0.00     0.04
 75  11.0393      0.00     0.07       0.00     0.19
 76  11.8147      0.00     0.18       0.00    -0.11
 77  11.8147      0.00     0.06       0.00     0.10
 78  11.8147      0.00    -0.09       0.00     0.27
 79  11.8528      0.00     0.22       0.00    -0.15
 80  11.8854      0.00     0.04       0.00    -0.03
 81  11.8856      0.00     0.06       0.00    -0.06
 82  11.8857      0.00    -0.15       0.00    -0.07
 83  11.8936      0.00    -0.20       0.00     0.15
 84  11.8936      0.00    -0.02       0.00    -0.04
 85  11.8936      0.00     0.11       0.00     0.04
 86  11.8936      0.00     0.07       0.00     0.03
 87  11.8993      0.00    -0.02       0.00    -0.05
 88  11.8993      0.00     0.11       0.00     0.03
 89  11.8994      0.00     0.12       0.00     0.14
 90  11.8994      0.00    -0.21       0.00     0.02

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.

12XR157    quality flag:3

Type:           2:1E      2:1E      2:1E

axisobj        48.149    48.148    48.149
ecceobj         0.227     0.227     0.227
incobj         29.873    29.873    29.873
qmin           35.400    35.405    35.395
qmax           60.632    60.634    60.623
amean          47.796    47.797    47.797
amin           47.347    47.347    47.347
amax           48.349    48.346    48.351
emean           0.193     0.193     0.193
emin            0.124     0.124     0.124
emax            0.256     0.256     0.256
imean          31.254    31.254    31.255
imin           30.110    30.110    30.111
imax           32.366    32.366    32.367
excite_mean     0.555     0.555     0.555
fracstop        1.000     1.000     1.000
cjmean          2.742     2.742     2.742

libcent 0        74.0      74.0      74.1
libamp  0        28.6      28.4      28.7
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       177.0     176.8     177.0
kozaiamp        180.0     180.0     180.0