Orbit Fit and Astrometric record for 13UL10

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: 13UL10    
# Created Thu Oct 19 01:38:18 2017
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting   64 observations of   65
# Arc:   6.19y
# First observation: 2010/09/05
#  Last observation: 2016/11/12
# Chi-squared of fit:   745.25 DOF:  122 RMS:  0.60
# Min/Max residuals:    -1.90    1.88
# Exact a, adot, b, bdot, g, gdot:
  3.523603E-05  3.069123E-01 -2.141278E-06 -1.790817E-02  1.379627E-01 -1.152592E-01
# Covariance matrix:
  7.7252E-10 -1.8152E-06 -5.2942E-12  1.3878E-07  7.1759E-13 -1.1448E-06
 -1.8152E-06  4.6115E-03  1.2997E-08 -3.5223E-04 -1.6759E-09  2.9057E-03
 -5.2942E-12  1.2997E-08  5.0933E-13 -1.2910E-09 -4.9026E-15  8.2054E-09
  1.3878E-07 -3.5223E-04 -1.2910E-09  3.9102E-05  1.2814E-10 -2.2253E-04
  7.1759E-13 -1.6759E-09 -4.9026E-15  1.2814E-10  6.6734E-16 -1.0570E-09
 -1.1448E-06  2.9057E-03  8.2054E-09 -2.2253E-04 -1.0570E-09  1.8357E-03
#      lat0       lon0       xBary       yBary       zBary        JD0
   21.168721  -22.885729   -0.092468    0.360933   -0.932195  2455444.706566
# Heliocentric elements and errors
Epoch:              2455444.5000  =  2010/09/05
Mean Anomaly:          317.17274 +/-     7.585
Argument of Peri:      186.40493 +/-     0.000
Long of Asc Node:      234.03305 +/-     0.000
Inclination:            19.14259 +/-     0.000
Eccentricity:         0.37677619 +/-    0.0000
Semi-Major Axis:      9.96402329 +/-    0.0017
Time of Perihelion: 2456811.1846 +/-     242.1
Perihelion:           6.20981655 +/-    0.0010
Aphelion:            13.71823002 +/-    0.0023
Period (y)               31.4529 +/-      0.01
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X            7.18835391 +/-    0.0000
Ecliptic Y           -2.93340655 +/-    0.0000
Ecliptic Z            2.61750869 +/-    0.0000
Ecliptic XDOT         0.00052236 +/-    0.0000
Ecliptic YDOT         0.00639711 +/-    0.0000
Ecliptic ZDOT        -0.00115741 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO    8.19329851 +/-    0.0000
Geocenter to KBO      7.24846708 +/-    0.0000
# Hcoef: 12.46

The following table shows the complete astrometric record for 13UL10. 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 (13UL10) followed by the observatory code and reference code for the source of the astrometry.

2010 09  05.20580  22 03 58.10   +10 46 53.0   20.9V 13UL10    G96  C~0wdf      
2010 09  05.21265  22 03 57.96   +10 46 52.0   20.9V 13UL10    G96  C~0wdf      
2010 09  05.21961  22 03 57.81   +10 46 51.1   21.2V 13UL10    G96  C~0wdf      
2010 09  05.22648  22 03 57.70   +10 46 50.2   21.5V 13UL10    G96  C~0wdf      
2012 10  08.309655 00 52 48.149  +19 55 35.38  21.0w 13UL10    F51  c~0wdf      
2012 10  08.324184 00 52 47.825  +19 55 32.31  20.8w 13UL10    F51  c~0wdf      
2012 10  08.338696 00 52 47.515  +19 55 29.41  21.0w 13UL10    F51  c~0wdf      
2012 10  08.353597 00 52 47.175  +19 55 26.58  20.9w 13UL10    F51  c~0wdf      
2013 10  03.38001  03 00 51.25   +21 34 00.2   20.2V 13UL10    691  C~0wdf      
2013 10  03.39850  03 00 50.93   +21 33 57.1   20.4V 13UL10    691  C~0wdf      
2013 10  03.41715  03 00 50.57   +21 33 53.9   20.1V 13UL10    691  C~0wdf      
2013 10  07.34668  02 59 51.24   +21 24 59.5   20.6V 13UL10    691  C~0wdf      
2013 10  07.36467  02 59 50.93   +21 24 57.8   21.5V 13UL10    691  C~0wdf      
2013 10  07.38266  02 59 50.65   +21 24 54.4   20.4V 13UL10    691  C~0wdf      
2013 10  27.15233  02 53 17.49   +20 29 03.2   21.6V 13UL10    691  C~0wdf      
2013 10  27.17008  02 53 17.08   +20 28 59.7   21.1V 13UL10    691  C~0wdf      
2013 10  27.18783  02 53 16.66   +20 28 56.1   21.3V 13UL10    691  C~0wdf      
2013 10  30.14956  02 52 08.47   +20 19 15.5   20.6V 13UL10    691  C~0wdf      
2013 10  30.16730  02 52 08.05   +20 19 12.9   20.3V 13UL10    691  C~0wdf      
2013 10  30.18505  02 52 07.66   +20 19 07.9   20.1V 13UL10    691  C~0wdf      
2013 10  31.23064  02 51 43.28   +20 15 38.8   19.6R 13UL10    H15  C~0wdf      
2013 10  31.24036  02 51 43.07   +20 15 37.0   19.7R 13UL10    H15  C~0wdf      
2013 10  31.24988  02 51 42.79   +20 15 35.4   19.5R 13UL10    H15  C~0wdf      
2013 10  31.25949  02 51 42.50   +20 15 33.3   19.7R 13UL10    H15  C~0wdf      
2013 10  31.57456  02 51 35.16   +20 14 32.4   20.2V 13UL10    Q62  C~0wdf      
2013 10  31.57739  02 51 35.09   +20 14 32.0   20.3V 13UL10    Q62  C~0wdf      
2013 10  31.58023  02 51 35.05   +20 14 31.7   20.1V 13UL10    Q62  C~0wdf      
2013 11  01.00942  02 51 24.94   +20 13 02.6         13UL10    204  C~0wdf      
2013 11  01.02128  02 51 24.66   +20 13 00.0   19.4R 13UL10    204  C~0wdf      
2013 11  01.03445  02 51 24.32   +20 12 57.2         13UL10    204  C~0wdf      
2013 11  01.17846  02 51 21.00   +20 12 28.8   20.1V 13UL10    691  C~0wdf      
2013 11  01.19620  02 51 20.62   +20 12 25.7   20.5V 13UL10    691  C~0wdf      
2013 11  01.21156  02 51 20.24   +20 12 22.0   20.2V 13UL10    691  C~0wdf      
2013 11  01.47749  02 51 13.96   +20 11 28.2   19.5R 13UL10    H15  C~0wdf      
2013 11  01.49344  02 51 13.60   +20 11 26.3   19.7R 13UL10    H15  C~0wdf      
2013 11  02.32239  02 50 54.06   +20 08 36.3   19.1V 13UL10    G96  C~0wdf      
2013 11  02.32967  02 50 53.97   +20 08 35.1   19.6V 13UL10    G96  C~0wdf      
2013 11  02.33699  02 50 53.71   +20 08 33.6   19.3V 13UL10    G96  C~0wdf      
2013 11  02.34429  02 50 53.52   +20 08 32.3   19.5V 13UL10    G96  C~0wdf      
2013 11  03.17167  02 50 34.05   +20 05 42.9   19.3R 13UL10    H06  C~0wdf      
2013 11  03.19749  02 50 33.47   +20 05 37.5   19.5R 13UL10    H06  C~0wdf      
2013 11  03.22334  02 50 32.85   +20 05 32.8   20.3R 13UL10    H06  C~0wdf      
2013 11  07.14954  02 48 59.69   +19 51 58.0   20.1V 13UL10    691  C~0wdf      
2013 11  07.16172  02 48 59.39   +19 51 55.0   19.6R 13UL10    H06  C~0wdf      
2013 11  07.16567  02 48 59.39   +19 51 53.9   20.3R 13UL10    H06  C~0wdf      
2013 11  07.16726  02 48 59.25   +19 51 54.2   20.1V 13UL10    691  C~0wdf      
2013 11  07.16964  02 48 59.09   +19 51 54.3   20.0R 13UL10    H06  C~0wdf      
2013 11  07.18500  02 48 58.79   +19 51 51.9   19.7V 13UL10    691  C~0wdf      
2013 11  25.60254  02 42 02.51   +18 46 27.2   21.7R 13UL10    D29  C~0xSR      
2013 11  25.61845  02 42 02.16   +18 46 24.0   20.7R 13UL10    D29  C~0xSR      
2013 11  25.63436  02 42 01.80   +18 46 20.6   20.6R 13UL10    D29  C~0xSR      
2013 11  28.29683  02 41 08.40   +18 37 05.2   19.7V 13UL10    703  C~0xSR      
2013 11  28.30340  02 41 08.25   +18 37 02.7   21.2V 13UL10    703  C~0xSR      
2013 11  28.30996  02 41 08.07   +18 37 02.4   20.2V 13UL10    703  C~0xSR      
2013 11  28.31650  02 41 07.95   +18 37 00.2   19.8V 13UL10    703  C~0xSR      
2014 11  21.37657  04 58 03.522  +15 15 39.64  20.5w 13UL10    F51  C~1CsG      
2014 11  21.38861  04 58 03.237  +15 15 37.78  20.6w 13UL10    F51  C~1CsG      
2014 11  21.40070  04 58 02.941  +15 15 35.82  20.5w 13UL10    F51  C~1CsG      
2014 11  21.41281  04 58 02.648  +15 15 33.90  20.7w 13UL10    F51  C~1CsG      
2016 01  10.28113  06 36 02.66   +06 33 16.7   20.1r 13UL10    G45  C~1iH2      
2016 01  10.28520  06 36 02.56   +06 33 16.7   20.4r 13UL10    G45  C~1iH2      
2016 01  10.29992  06 36 02.21   +06 33 16.9   20.2r 13UL10    G45  C~1iH2      
2016 01  10.30557  06 36 02.08   +06 33 16.8   19.7r 13UL10    G45  C~1iH2      
2016 11  12.59935  08 22 44.836  +00 35 23.78  21.2i 13UL10    F51  C~22EL      
2016 11  12.61139  08 22 44.838  +00 35 21.29  21.3i 13UL10    F51  C~22EL      

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 (   0.07)      0.00 (  -7.93)
  2   0.0000      0.00     0.07       0.00     0.09
  3   0.0000      0.00    -0.18       0.00     0.18
  4   0.0001      0.00     0.15       0.00     0.25
  5   2.0920      0.00     0.82       0.00     0.24
  6   2.0920      0.00     0.76       0.00     0.04
  7   2.0921      0.00     0.92       0.00     0.02
  8   2.0921      0.00     0.76       0.00     0.15
  9   3.0778      0.00     0.71       0.00     1.15
 10   3.0779      0.00    -0.00       0.00     0.45
 11   3.0779      0.00    -1.28       0.00    -0.32
 12   3.0887      0.00     0.03       0.00     0.28
 13   3.0887      0.00    -0.12       0.00     1.13
 14   3.0888      0.00     0.19       0.00     0.29
 15   3.1429      0.00     0.25       0.00     0.33
 16   3.1430      0.00     0.24       0.00     0.21
 17   3.1430      0.00     0.10       0.00    -0.01
 18   3.1511      0.00    -0.24       0.00     0.09
 19   3.1512      0.00    -0.27       0.00     0.97
 20   3.1512      0.00     0.17       0.00    -0.55
 21   3.1541      0.00     0.72       0.00    -0.96
 22   3.1541      0.00     1.07       0.00    -0.82
 23   3.1541      0.00     0.29       0.00    -0.52
 24   3.1542      0.00    -0.60       0.00    -0.71
 25   3.1550      0.00     0.13       0.00     0.01
 26   3.1550      0.00     0.10       0.00     0.18
 27   3.1550      0.00     0.52       0.00     0.45
 28   3.1562      0.00     0.17       0.00    -0.17
 29   3.1562      0.00     0.23       0.00    -0.37
 30   3.1563      0.00    -0.13       0.00    -0.50
 31   3.1567      0.00    -0.76       0.00    -0.05
 32   3.1567      0.00    -0.09       0.00     0.39
 33   3.1568      0.00    -0.27       0.00    -0.23
 34   3.1575      0.00     1.55       0.00    -0.03
 35   3.1575      0.00     1.84       0.00     1.35
 36   3.1598      0.00     0.33       0.00    -0.56
 37   3.1598      0.00     1.62       0.00    -0.27
 38   3.1598      0.00     0.38       0.00    -0.28
 39   3.1599      0.00     0.18       0.00    -0.09
 40   3.1621      0.00    -0.07       0.00    -0.23
 41   3.1622      0.00     0.58       0.00    -0.38
 42   3.1623      0.00     0.66       0.00     0.18
 43   3.1730      0.00    -0.31       0.00     0.20
 44   3.1730      0.00    -0.28       0.00    -0.29
 45   3.1731      0.00     1.16       0.00    -0.57
 46   3.1731      0.00    -0.49       0.00     0.07
 47   3.1731      0.00    -1.90       0.00     0.66
 48   3.1731      0.00    -0.95       0.00     1.46
 49   3.2235      0.00     0.66       0.00     0.03
 50   3.2236      0.00     0.45       0.00     0.19
 51   3.2236      0.00     0.10       0.00     0.14
 52   3.2309      0.00     1.09       0.00     1.88
 53   3.2309      0.00     0.83       0.00     0.76
 54   3.2309      0.00     0.11       0.00     1.83
 55   3.2310      0.00     0.29       0.00     1.00
 56   4.2113      0.00     0.57       0.00    -0.05
 57   4.2113      0.00     0.66       0.00    -0.04
 58   4.2113      0.00     0.61       0.00    -0.13
 59   4.2114      0.00     0.61       0.00    -0.17
 60   5.3472      0.00     0.24       0.00    -0.01
 61   5.3472      0.00     0.24       0.00     0.02
 62   5.3473      0.00     0.39       0.00     0.33
 63   5.3473      0.00     0.51       0.00     0.27
 64   6.1886      0.00    -0.01       0.00     0.19
 65   6.1887      0.00    -0.30       0.00    -0.01

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.

13UL10    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj         9.888     9.888     9.888
ecceobj         0.376     0.376     0.376
incobj         19.198    19.198    19.198
qmin            6.166     5.774     6.166
qmax           13.609    13.709    13.609
amean           9.222     9.588     9.260
amin            8.856     8.673     8.901
amax            9.887    10.073     9.888
emean           0.293     0.264     0.321
emin            0.207     0.088     0.284
emax            0.376     0.376     0.376
imean          20.703    20.057    20.131
imin           19.995    14.388    19.994
imax           22.569    25.052    20.261
excite_mean     0.462     0.443     0.471
fracstop        0.001     0.003     0.000
cjmean          4.259     4.162     4.247

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       218.0     246.0     208.4
kozaiamp         29.2     163.7      24.1