Orbit Fit and Astrometric record for 12UD178

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: 12UD178   
# Created Mon Apr 22 01:09:21 2019
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting   52 observations of   52
# Arc:   7.15y
# First observation: 2010/10/29
#  Last observation: 2017/12/22
# Chi-squared of fit:    40.51 DOF:   98 RMS:  0.16
# Min/Max residuals:    -0.36    0.40
# Exact a, adot, b, bdot, g, gdot:
  2.082685E-05  3.847301E-02  4.108783E-06  5.805176E-03  3.072761E-02  6.380977E-03
# Covariance matrix:
  4.6707E-13 -2.2564E-13  4.6805E-14 -2.9356E-14 -6.5642E-14 -6.5210E-13
 -2.2564E-13  1.4797E-13 -3.4682E-14  2.1677E-14  9.7736E-14  4.8092E-13
  4.6805E-14 -3.4682E-14  1.8556E-13 -4.2837E-14 -2.5134E-14 -1.2046E-13
 -2.9356E-14  2.1677E-14 -4.2837E-14  1.2877E-14  1.5509E-14  7.5283E-14
 -6.5642E-14  9.7736E-14 -2.5134E-14  1.5509E-14  2.0043E-13  3.4250E-13
 -6.5210E-13  4.8092E-13 -1.2046E-13  7.5283E-14  3.4250E-13  1.6702E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   -1.670247   56.766160    0.349757   -0.027009   -0.926353  2455499.086116
# Heliocentric elements and errors
Epoch:              2455498.5000  =  2010/10/29
Mean Anomaly:           11.30059 +/-     0.002
Argument of Peri:      319.21732 +/-     0.006
Long of Asc Node:       66.85289 +/-     0.000
Inclination:             8.68699 +/-     0.000
Eccentricity:         0.42345679 +/-    0.0000
Semi-Major Axis:     55.74973449 +/-    0.0052
Time of Perihelion: 2450725.8299 +/-       1.2
Perihelion:          32.14213075 +/-    0.0040
Aphelion:            79.35733823 +/-    0.0079
Period (y)              416.2674 +/-      0.06
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           18.63251293 +/-    0.0003
Ecliptic Y           27.79232994 +/-    0.0004
Ecliptic Z           -0.94845215 +/-    0.0000
Ecliptic XDOT        -0.00254769 +/-    0.0000
Ecliptic YDOT         0.00237304 +/-    0.0000
Ecliptic ZDOT         0.00050045 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   33.47352628 +/-    0.0004
Geocenter to KBO     32.54394460 +/-    0.0005
# Hcoef:  7.38

The following table shows the complete astrometric record for 12UD178. 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 (12UD178) followed by the observatory code and reference code for the source of the astrometry.

2010 10  29.58535  03 39 29.456  +17 48 29.97  22.2i 12UD178   F51  C~1w3s      
2011 12  01.50329  03 44 56.702  +18 28 34.16  22.2r 12UD178   F51  C~1w3s      
2011 12  01.51616  03 44 56.615  +18 28 33.85  22.2r 12UD178   F51  C~1w3s      
2012 03  14.23785  03 42 19.839  +18 28 53.20  22.4w 12UD178   F51  C~1w3s      
2012 10  21.55764  03 57 29.674  +19 25 24.94  22.7w 12UD178   F51  C~1w3s      
2012 10  21.57367  03 57 29.604  +19 25 24.56  22.8w 12UD178   F51  C~1w3s      
2012 10  21.58975  03 57 29.526  +19 25 24.25  22.6w 12UD178   F51  C~1w3s      
2012 10  24.61488  03 57 14.354  +19 24 46.58  22.4G 12UD178   F51  C~2rXv      
2012 11  07.40498  03 55 58.417  +19 21 38.23  23.2G 12UD178   F51  C~2rXv      
2012 12  10.26976  03 52 41.039  +19 13 36.59  22.2w 12UD178   F51  C~1w3s      
2012 12  10.28523  03 52 40.946  +19 13 36.48  22.6w 12UD178   F51  C~1w3s      
2012 12  10.31085  03 52 40.787  +19 13 36.10  22.4w 12UD178   F51  C~1w3s      
2012 12  10.32638  03 52 40.699  +19 13 35.75  22.5w 12UD178   F51  C~1w3s      
2013 03  06.23404  03 50 07.701  +19 12 24.39  23.3G 12UD178   F51  C~2rXv      
2013 11  09.51472  04 04 25.757  +20 05 53.04  22.4w 12UD178   F51  C~1w3s      
2013 11  09.52980  04 04 25.687  +20 05 53.35  22.2w 12UD178   F51  C~1w3s      
2013 11  09.56006  04 04 25.492  +20 05 52.76  22.4w 12UD178   F51  C~1w3s      
2013 11  26.33303  04 02 44.150  +20 02 03.48  22.3w 12UD178   F51  C~1w3s      
2013 11  26.34831  04 02 44.052  +20 02 03.16  22.5w 12UD178   F51  C~1w3s      
2013 11  26.36364  04 02 43.965  +20 02 03.01  22.4w 12UD178   F51  C~1w3s      
2013 11  26.37902  04 02 43.859  +20 02 02.70  22.1w 12UD178   F51  C~1w3s      
2014 11  17.34556  04 12 16.367  +20 46 51.21  22.2G 12UD178   F51  C~2rXv      
2014 11  17.35850  04 12 16.291  +20 46 51.03  22.2G 12UD178   F51  C~2rXv      
2014 11  17.37138  04 12 16.204  +20 46 51.04  22.2G 12UD178   F51  C~2rXv      
2014 11  17.38424  04 12 16.132  +20 46 50.59  22.0G 12UD178   F51  C~2rXv      
2014 11  19.39710  04 12 03.947  +20 46 25.56  22.7G 12UD178   F51  C~2rXv      
2014 11  27.50188  04 11 14.307  +20 44 43.47  22.6G 12UD178   F51  C~2rXv      
2015 01  06.41452  04 07 35.700  +20 37 23.81  23.0G 12UD178   F51  C~2rXv      
2015 01  22.33712  04 06 41.112  +20 35 53.89  22.7G 12UD178   F51  C~2rXv      
2015 01  22.35107  04 06 41.089  +20 35 53.75  23.0G 12UD178   F51  C~2rXv      
2015 01  22.36504  04 06 41.043  +20 35 53.95  22.7G 12UD178   F51  C~2rXv      
2015 01  22.37892  04 06 40.999  +20 35 53.98  22.6G 12UD178   F51  C~2rXv      
2015 01  24.31898  04 06 36.216  +20 35 48.06  23.2G 12UD178   F51  C~2rXv      
2015 09  19.54179  04 24 41.968  +21 33 16.44  22.5G 12UD178   F51  C~2rXv      
2015 10  26.44308  04 22 50.035  +21 30 51.93  22.5G 12UD178   F51  C~2rXv      
2015 12  06.45325  04 18 53.596  +21 23 42.55  22.9G 12UD178   F51  C~2rXv      
2015 12  06.46679  04 18 53.494  +21 23 42.47  22.7G 12UD178   F51  C~2rXv      
2015 12  07.50656  04 18 47.170  +21 23 30.18  22.6G 12UD178   F51  C~2rXv      
2015 12  09.45040  04 18 35.423  +21 23 08.24  23.1G 12UD178   F51  C~2rXv      
2015 12  09.46317  04 18 35.350  +21 23 08.16  22.8G 12UD178   F51  C~2rXv      
2015 12  09.47587  04 18 35.275  +21 23 08.04  22.9G 12UD178   F51  C~2rXv      
2015 12  09.48854  04 18 35.163  +21 23 07.77  22.5G 12UD178   F51  C~2rXv      
2016 01  08.23763  04 15 57.554  +21 18 15.65  23.4G 12UD178   F51  C~2rXv      
2016 01  23.37489  04 15 04.320  +21 16 50.31  22.7G 12UD178   F51  C~2rXv      
2016 10  13.51505  04 32 06.516  +22 09 34.06  22.5G 12UD178   F51  C~2rXv      
2016 10  26.63007  04 31 12.053  +22 08 24.04  23.8G 12UD178   F51  C~2rXv      
2017 10  30.56842  04 39 16.948  +22 43 30.25  22.6G 12UD178   F51  C~2rXv      
2017 10  30.58114  04 39 16.890  +22 43 30.09  23.0G 12UD178   F51  C~2rXv      
2017 10  30.59378  04 39 16.810  +22 43 30.05  23.1G 12UD178   F51  C~2rXv      
2017 10  30.60640  04 39 16.781  +22 43 30.17  22.6G 12UD178   F51  C~2rXv      
2017 11  21.36745  04 37 16.767  +22 40 52.27  23.2G 12UD178   F51  C~2rXv      
2017 12  22.49747  04 34 08.943  +22 36 08.24  21.4G 12UD178   F51  C~2rXv      

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    -0.16       0.00    -0.27
  2   1.0894      0.00     0.02       0.00    -0.07
  3   1.0895      0.00    -0.12       0.00    -0.18
  4   1.3734      0.00     0.40       0.00    -0.15
  5   1.9794      0.00    -0.13       0.00     0.28
  6   1.9794      0.00     0.02       0.00     0.10
  7   1.9795      0.00     0.06       0.00    -0.02
  8   1.9878      0.00    -0.01       0.00    -0.22
  9   2.0255      0.00     0.10       0.00    -0.10
 10   2.1155      0.00     0.14       0.00     0.19
 11   2.1155      0.00     0.10       0.00     0.29
 12   2.1156      0.00    -0.05       0.00     0.25
 13   2.1156      0.00    -0.01       0.00     0.10
 14   2.3509      0.00    -0.01       0.00    -0.24
 15   3.0306      0.00    -0.08       0.00    -0.29
 16   3.0306      0.00     0.22       0.00     0.22
 17   3.0307      0.00    -0.01       0.00     0.03
 18   3.0767      0.00    -0.17       0.00     0.18
 19   3.0767      0.00    -0.21       0.00     0.07
 20   3.0767      0.00    -0.08       0.00     0.13
 21   3.0768      0.00    -0.24       0.00     0.03
 22   4.0514      0.00     0.06       0.00    -0.06
 23   4.0514      0.00     0.10       0.00    -0.09
 24   4.0514      0.00    -0.02       0.00     0.08
 25   4.0515      0.00     0.08       0.00    -0.21
 26   4.0570      0.00    -0.00       0.00    -0.22
 27   4.0792      0.00    -0.17       0.00     0.12
 28   4.1884      0.00    -0.01       0.00     0.39
 29   4.2320      0.00    -0.05       0.00    -0.04
 30   4.2321      0.00     0.17       0.00    -0.13
 31   4.2321      0.00     0.04       0.00     0.12
 32   4.2322      0.00    -0.07       0.00     0.20
 33   4.2375      0.00    -0.12       0.00     0.17
 34   4.8897      0.00     0.19       0.00    -0.13
 35   4.9907      0.00     0.13       0.00    -0.04
 36   5.1030      0.00     0.25       0.00    -0.01
 37   5.1030      0.00    -0.03       0.00     0.07
 38   5.1059      0.00    -0.02       0.00    -0.28
 39   5.1112      0.00     0.04       0.00    -0.03
 40   5.1112      0.00     0.11       0.00     0.04
 41   5.1113      0.00     0.16       0.00     0.07
 42   5.1113      0.00    -0.36       0.00    -0.06
 43   5.1928      0.00    -0.17       0.00    -0.21
 44   5.2342      0.00    -0.27       0.00    -0.00
 45   5.9574      0.00    -0.19       0.00    -0.03
 46   5.9933      0.00     0.03       0.00    -0.19
 47   7.0034      0.00    -0.01       0.00    -0.01
 48   7.0034      0.00     0.07       0.00    -0.10
 49   7.0034      0.00    -0.19       0.00    -0.06
 50   7.0035      0.00     0.31       0.00     0.14
 51   7.0631      0.00    -0.13       0.00     0.09
 52   7.1483      0.00     0.20       0.00     0.06

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.

12UD178    quality flag:3

Type:         5:2EEE    5:2EEE    5:2EEE

axisobj        56.161    56.161    56.161
ecceobj         0.427     0.427     0.427
incobj          8.679     8.679     8.679
qmin           31.618    31.618    31.618
qmax           80.576    80.575    80.577
amean          55.462    55.462    55.462
amin           54.747    54.746    54.748
amax           56.412    56.412    56.413
emean           0.418     0.418     0.418
emin            0.407     0.407     0.407
emax            0.429     0.429     0.429
imean           7.654     7.648     7.654
imin            7.359     7.359     7.359
imax            7.897     7.897     7.897
excite_mean     0.438     0.438     0.438
fracstop        1.000     1.000     1.000
cjmean          2.987     2.987     2.987

libcent 0       180.3     180.3     180.2
libamp  0        77.2      77.2      77.2
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       134.8     135.3     134.8
kozaiamp        180.0     180.0     180.0