Orbit Fit and Astrometric record for 13UM15

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: 13UM15    
# Created Sun Oct 22 01:38:19 2017
# Orbit generated from Bernstein formalism
# Fitting   49 observations of   49
# Arc:  13.17y
# First observation: 2002/10/05
#  Last observation: 2015/12/07
Preliminary a, adot, b, bdot, g, gdot:
  -0.000134   0.022578   0.000006  -0.000233   0.024003   0.000000
# Chi-squared of fit:    11.58 DOF:   92 RMS:  0.09
# Min/Max residuals:    -0.19    0.39
# Exact a, adot, b, bdot, g, gdot:
  1.602078E-05  2.260246E-02 -2.373980E-07 -2.301161E-04  2.344039E-02  1.459715E-03
# Covariance matrix:
  4.7631E-13 -1.0077E-13 -9.5497E-16  6.8336E-16 -5.3731E-14 -2.2535E-13
 -1.0077E-13  5.1529E-14  6.5990E-16 -4.8271E-16  2.9905E-14  1.6205E-13
 -9.5497E-16  6.5990E-16  3.8079E-13 -3.3410E-14  6.6546E-16  2.2023E-15
  6.8336E-16 -4.8271E-16 -3.3410E-14  3.1811E-15 -3.7668E-16 -1.6149E-15
 -5.3731E-14  2.9905E-14  6.6546E-16 -3.7668E-16  1.0587E-13  9.7102E-14
 -2.2535E-13  1.6205E-13  2.2023E-15 -1.6149E-15  9.7102E-14  5.4318E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
   -1.787850    2.388138   -0.159660   -0.030825   -0.986461  2452552.822682
# Heliocentric elements and errors
Epoch:              2452550.5000  =  2002/10/03
Mean Anomaly:           61.68587 +/-     0.024
Argument of Peri:      182.38310 +/-     0.030
Long of Asc Node:      110.98774 +/-     0.005
Inclination:             1.84133 +/-     0.000
Eccentricity:         0.07186179 +/-    0.0000
Semi-Major Axis:     44.99162879 +/-    0.0024
Time of Perihelion: 2433662.7936 +/-       7.3
Perihelion:          41.75844963 +/-    0.0027
Aphelion:            48.22480795 +/-    0.0030
Period (y)              301.7906 +/-      0.02
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           43.58228465 +/-    0.0006
Ecliptic Y            1.98321079 +/-    0.0000
Ecliptic Z           -1.33098327 +/-    0.0000
Ecliptic XDOT         0.00005185 +/-    0.0000
Ecliptic YDOT         0.00264166 +/-    0.0000
Ecliptic ZDOT        -0.00003197 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   43.64768237 +/-    0.0006
Geocenter to KBO     42.66139778 +/-    0.0006
# Hcoef:  7.00

The following table shows the complete astrometric record for 13UM15. 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 (13UM15) followed by the observatory code and reference code for the source of the astrometry.

2002 10  05.321939 00 11 36.45   -00 41 27.1   23.9V 13UM15    645  C~25nl      
2002 10  05.322778 00 11 36.45   -00 41 27.1   22.0V 13UM15    645  C~25nl      
2002 10  05.325256 00 11 36.46   -00 41 27.1   25.0V 13UM15    645  C~25nl      
2008 10  02.240468 00 40 08.46   +02 18 34.2   23.1V 13UM15    645  C~25nl      
2008 10  02.241297 00 40 08.46   +02 18 34.3         13UM15    645  C~25nl      
2008 10  02.243785 00 40 08.45   +02 18 34.2         13UM15    645  C~25nl      
2013 08  02.52798  01 06 35.776  +05 04 42.62  23.3r 13UM15    568  C~25nl      
2013 08  02.57069  01 06 35.726  +05 04 42.22  23.7r 13UM15    568  C~25nl      
2013 08  30.44360  01 05 35.826  +04 57 30.05  23.1r 13UM15    568  C~25nl      
2013 08  31.44775  01 05 32.723  +04 57 09.15  23.2r 13UM15    568  C~25nl      
2013 08  31.49065  01 05 32.589  +04 57 08.27  23.2r 13UM15    568  C~25nl      
2013 08  31.50871  01 05 32.530  +04 57 07.91  23.3r 13UM15    568  C~25nl      
2013 09  04.42758  01 05 19.886  +04 55 43.12  23.5r 13UM15    568  C~25nl      
2013 09  04.47051  01 05 19.737  +04 55 42.15  23.4r 13UM15    568  C~25nl      
2013 09  04.47904  01 05 19.698  +04 55 42.14  23.6r 13UM15    568  C~25nl      
2013 09  04.49657  01 05 19.639  +04 55 41.97  23.0r 13UM15    568  C~25nl      
2013 09  04.50244  01 05 19.617  +04 55 41.29  23.0r 13UM15    568  C~25nl      
2013 09  04.52303  01 05 19.552  +04 55 40.79  23.3r 13UM15    568  C~25nl      
2013 10  06.40889  01 03 14.231  +04 42 16.44  23.3r 13UM15    568  C~25nl      
2013 10  06.49158  01 03 13.874  +04 42 14.27  23.2r 13UM15    568  C~25nl      
2013 10  06.49617  01 03 13.859  +04 42 14.24  23.2r 13UM15    568  C~25nl      
2013 10  09.53885  01 03 00.786  +04 40 53.04  23.1r 13UM15    568  C~25nl      
2013 10  31.25056  01 01 29.996  +04 31 41.31  23.2r 13UM15    568  C~25nl      
2013 10  31.29356  01 01 29.819  +04 31 40.42  23.4r 13UM15    568  C~25nl      
2013 10  31.33628  01 01 29.649  +04 31 39.46  23.3r 13UM15    568  C~25nl      
2013 11  01.27683  01 01 25.959  +04 31 17.50  23.3r 13UM15    568  C~25nl      
2013 11  01.40318  01 01 25.453  +04 31 14.56  23.4r 13UM15    568  C~25nl      
2013 11  05.45493  01 01 09.910  +04 29 43.04  23.3r 13UM15    568  C~25nl      
2013 12  04.26738  00 59 43.893  +04 21 42.42  23.4r 13UM15    568  C~25nl      
2013 12  04.31956  00 59 43.777  +04 21 41.85        13UM15    568  C~25nl      
2014 06  27.59782  01 10 54.950  +05 32 43.38  23.5r 13UM15    568  C~25nl      
2014 06  28.60286  01 10 56.810  +05 32 51.96  23.5r 13UM15    568  C~25nl      
2014 07  24.56087  01 11 16.468  +05 33 41.67  23.3r 13UM15    568  C~25nl      
2014 08  22.56426  01 10 34.950  +05 28 16.26  23.4r 13UM15    568  C~25nl      
2014 08  28.42620  01 10 19.272  +05 26 28.40  23.4r 13UM15    568  C~25nl      
2014 08  29.52684  01 10 16.079  +05 26 06.78  23.4r 13UM15    568  C~25nl      
2014 08  29.56608  01 10 15.965  +05 26 05.88  25.1u 13UM15    568  C~25nl      
2014 08  29.61463  01 10 15.820  +05 26 05.02  23.3r 13UM15    568  C~25nl      
2014 10  23.36016  01 06 41.097  +05 03 27.86  23.3r 13UM15    568  C~25nl      
2014 10  27.39884  01 06 24.318  +05 01 47.55  23.1r 13UM15    568  C~25nl      
2014 11  24.24000  01 04 44.982  +04 52 15.28  23.3r 13UM15    568  C~25nl      
2014 11  25.23617  01 04 42.184  +04 51 59.85  23.5r 13UM15    568  C~25nl      
2014 12  17.25877  01 03 58.108  +04 48 19.74  23.3r 13UM15    568  C~25nl      
2015 01  17.29797  01 04 03.755  +04 50 20.18  23.4r 13UM15    568  C~25nl      
2015 10  15.30155  01 11 53.845  +05 35 15.03  23.3r 13UM15    568  C~25nl      
2015 10  15.30564  01 11 53.829  +05 35 14.93  23.2r 13UM15    568  C~25nl      
2015 10  15.35250  01 11 53.623  +05 35 13.67  23.2r 13UM15    568  C~25nl      
2015 10  15.35660  01 11 53.603  +05 35 13.65  23.1r 13UM15    568  C~25nl      
2015 12  07.37779  01 08 48.241  +05 17 32.89  23.6w 13UM15    568  C~25nl      

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     0.02
  2   0.0000      0.00    -0.10       0.00     0.02
  3   0.0000      0.14     0.21      -0.06    -0.05
  4   5.9929  28023.29     0.01    -285.53    -0.05
  5   5.9929  28023.33     0.11    -285.44     0.05
  6   5.9929  28023.15     0.10    -285.47     0.01
  7  10.8260  54857.90    -0.07    -459.67    -0.04
  8  10.8261  54857.00    -0.05    -459.75    -0.04
  9  10.9025  53795.47     0.05    -510.92    -0.15
 10  10.9052  53741.16     0.06    -512.14    -0.08
 11  10.9053  53738.83     0.11    -512.17    -0.08
 12  10.9054  53737.81     0.10    -512.16    -0.06
 13  10.9161  53516.75     0.10    -516.76    -0.04
 14  10.9162  53514.16     0.05    -516.78    -0.04
 15  10.9162  53513.59    -0.02    -516.56     0.19
 16  10.9163  53512.65     0.08    -516.36     0.39
 17  10.9163  53512.04    -0.17    -516.88    -0.12
 18  10.9164  53510.88    -0.11    -516.96    -0.19
 19  11.0037  51340.63    -0.09    -527.17     0.01
 20  11.0039  51334.51    -0.02    -527.08     0.02
 21  11.0039  51334.28     0.09    -527.02     0.08
 22  11.0122  51109.60    -0.04    -525.40     0.08
 23  11.0717  49557.21    -0.09    -502.16    -0.11
 24  11.0718  49554.26    -0.10    -501.94     0.03
 25  11.0719  49551.39    -0.06    -501.83     0.05
 26  11.0745  49488.60    -0.04    -500.42     0.00
 27  11.0748  49480.02    -0.08    -500.16    -0.00
 28  11.0859  49216.02    -0.04    -493.32     0.04
 29  11.1648  47768.25    -0.03    -430.61     0.05
 30  11.1649  47766.34    -0.11    -430.45     0.05
 31  11.7270  59401.53    -0.02    -412.68     0.07
 32  11.7297  59432.86     0.01    -415.65    -0.06
 33  11.8008  59746.91    -0.13    -486.34    -0.01
 34  11.8802  58991.60    -0.03    -548.39    -0.05
 35  11.8962  58713.02     0.02    -557.34     0.04
 36  11.8993  58656.45    -0.00    -558.82     0.03
 37  11.8994  58654.37     0.01    -559.00    -0.11
 38  11.8995  58651.86     0.06    -558.95    -0.02
 39  12.0494  54905.22     0.02    -562.96    -0.01
 40  12.0604  54616.21     0.01    -557.55     0.06
 41  12.1367  52917.97    -0.02    -504.41     0.12
 42  12.1394  52870.52     0.11    -502.24    -0.05
 43  12.1997  52133.16     0.03    -446.24    -0.05
 44  12.2847  52265.81     0.08    -365.80     0.11
 45  13.0266  60344.26     0.02    -621.89    -0.05
 46  13.0266  60343.98     0.05    -621.89    -0.06
 47  13.0268  60340.37     0.02    -621.86    -0.09
 48  13.0268  60340.06     0.02    -621.76     0.01
 49  13.1720  57137.03     0.07    -521.71     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.

13UM15    quality flag:2

Type:      11:6EEEEE CLASSICAL CLASSICAL

axisobj        45.381    45.389    45.374
ecceobj         0.076     0.077     0.076
incobj          1.841     1.841     1.841
qmin           41.163    41.174    41.109
qmax           49.330    49.329    49.319
amean          45.102    45.104    45.102
amin           44.742    44.738    44.735
amax           45.481    45.487    45.490
emean           0.071     0.071     0.072
emin            0.059     0.057     0.058
emax            0.085     0.085     0.085
imean           0.700     0.724     0.711
imin            0.136     0.133     0.134
imax            1.105     1.168     1.123
excite_mean     0.073     0.072     0.073
fracstop        1.000     1.000     1.000
cjmean          3.109     3.109     3.108

libcent 0       193.5    -180.0    -180.0
libamp  0       147.4    -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       169.7     164.2     160.4
kozaiamp        180.0     179.9     179.9