Orbit Fit and Astrometric record for 13UR15

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: 13UR15    
# Created Wed Oct 17 01:09:27 2018
# Orbit generated from Bernstein formalism
# Fitting   28 observations of   29
# Arc:   4.29y
# First observation: 2013/09/04
#  Last observation: 2017/12/20
Preliminary a, adot, b, bdot, g, gdot:
   0.001676   0.117564  -0.000789  -0.047637   0.065780   0.000000
# Chi-squared of fit:     7.06 DOF:   50 RMS:  0.09
# Min/Max residuals:    -0.25    0.19
# Exact a, adot, b, bdot, g, gdot:
  2.950977E-05  1.236588E-01 -1.224443E-05 -5.080986E-02  6.588089E-02  2.225373E-02
# Covariance matrix:
  2.0807E-13 -1.5092E-13 -2.0478E-14  7.1200E-14  1.4120E-13 -3.8165E-13
 -1.5092E-13  4.3256E-13  5.6137E-14 -1.9452E-13  1.6130E-16  9.9618E-13
 -2.0478E-14  5.6137E-14  8.3571E-14 -6.0938E-14 -4.6289E-15  1.4771E-13
  7.1200E-14 -1.9452E-13 -6.0938E-14  1.4716E-13  1.6394E-14 -5.1201E-13
  1.4120E-13  1.6130E-16 -4.6289E-15  1.6394E-14  2.0743E-13 -1.0895E-13
 -3.8165E-13  9.9618E-13  1.4771E-13 -5.1201E-13 -1.0895E-13  2.6353E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   -0.550112   18.041463    0.597560   -0.007763   -0.813593  2456539.943968
# Heliocentric elements and errors
Epoch:              2456530.5000  =  2013/08/26
Mean Anomaly:            1.99138 +/-     0.000
Argument of Peri:      163.67804 +/-     0.001
Long of Asc Node:      194.63463 +/-     0.000
Inclination:            22.24337 +/-     0.000
Eccentricity:         0.72117278 +/-    0.0000
Semi-Major Axis:     56.25910740 +/-    0.0090
Time of Perihelion: 2455677.9125 +/-       0.0
Perihelion:          15.68657062 +/-    0.0035
Aphelion:            96.83164418 +/-    0.0156
Period (y)              421.9854 +/-      0.10
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           15.39023138 +/-    0.0001
Ecliptic Y            4.38747694 +/-    0.0000
Ecliptic Z           -0.14589249 +/-    0.0000
Ecliptic XDOT        -0.00073772 +/-    0.0000
Ecliptic YDOT         0.00516531 +/-    0.0000
Ecliptic ZDOT        -0.00212018 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   16.00407637 +/-    0.0001
Geocenter to KBO     15.17890742 +/-    0.0001
# Hcoef: 11.15

The following table shows the complete astrometric record for 13UR15. 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 (13UR15) followed by the observatory code and reference code for the source of the astrometry.

2013 09  04.44319  01 07 23.858  +06 34 04.13  23.2r 13UR15    568  C~2NKU      
2013 09  04.51807  01 07 23.357  +06 33 58.59  23.1r 13UR15    568  C~2NKU      
2013 10  06.41277  01 02 54.641  +05 49 18.28  23.1r 13UR15    568  C~2NKU      
2013 10  06.50014  01 02 53.798  +05 49 10.39  22.7r 13UR15    568  C~2NKU      
2013 10  06.50554  01 02 53.734  +05 49 09.67  22.7r 13UR15    568  C~2NKU      
2013 10  06.51103  01 02 53.700  +05 49 09.31  22.8r 13UR15    568  C~2NKU      
2013 10  06.51584  01 02 53.638  +05 49 08.88  22.8r 13UR15    568  C~2NKU      
2013 10  09.54274  01 02 24.887  +05 44 36.01  22.7r 13UR15    568  C~2NKU      
2013 10  31.25446  00 59 06.734  +05 13 05.49  23.1r 13UR15    568  C~2Gdq      
2013 10  31.29744  00 59 06.364  +05 13 02.07  23.1r 13UR15    568  C~2Gdq      
2013 10  31.34016  00 59 05.997  +05 12 58.48  22.8r 13UR15    568  C~2Gdq      
2013 11  01.28119  00 58 58.170  +05 11 42.22  23.1r 13UR15    568  C~2NKU      
2013 11  01.40856  00 58 57.096  +05 11 32.06  23.1r 13UR15    568  C~2NKU      
2013 11  05.44717  00 58 24.619  +05 06 12.37  22.8r 13UR15    568  C~2NKU      
2013 11  29.30934  00 56 02.866  +04 40 30.08  23.4r 13UR15    568  C~2NKU      
2013 12  04.25882  00 55 46.710  +04 36 40.68  23.5r 13UR15    568  C~2NKU      
2013 12  04.31091  00 55 46.554  +04 36 38.23  23.1r 13UR15    568  C~2NKU      
2013 12  06.21580  00 55 41.765  +04 35 19.34  23.4r 13UR15    568  C~2NKU      
2014 08  22.57598  01 38 26.983  +06 45 07.47  23.3r 13UR15    568  C~2NKU      
2014 08  22.59835  01 38 26.920  +06 45 06.28  23.2r 13UR15    568  C~2NKU      
2014 08  25.44822  01 38 17.828  +06 42 19.94  24.4u 13UR15    568  C~2NKU      
2014 08  28.43873  01 38 06.515  +06 39 16.39  23.3r 13UR15    568  C~2NKU      
2014 10  23.34068  01 30 49.795  +05 24 40.90  23.2r 13UR15    568  C~2NKU      
2014 10  26.43601  01 30 20.612  +05 20 25.80  22.9r 13UR15    568  C~2NKU      
2014 10  27.37934  01 30 11.842  +05 19 09.21  23.1r 13UR15    568  C~2NKV      
2014 12  17.23468  01 24 51.988  +04 31 27.96  23.7r 13UR15    568  C~2NKV      
2015 01  18.21511  01 25 52.007  +04 31 26.81  23.3r 13UR15    568  C~2NKV      
2017 12  20.27216  02 44 39.774  +04 09 20.23  23.5R 13UR15    G37  C~2Ux5      
2017 12  20.34855  02 44 39.341  +04 09 19.14        13UR15    G37  C~2Ux5      

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     0.04       0.00     0.01
  2   0.0002     -9.01     0.19      -2.28    -0.13
  3   0.0875  -4736.75    -0.04    -950.20     0.10
  4   0.0878  -4751.40     0.03    -952.68     0.06
  5   0.0878  -4752.56    -0.22    -952.98    -0.09
  6   0.0878  -4753.17     0.10    -953.12    -0.07
  7   0.0878  -4754.19    -0.11    -953.16     0.02
  8   0.0961  -5255.33    -0.07   -1041.07     0.01
  9   0.1555  -8717.03    -0.05   -1653.08    -0.08
 10   0.1557  -8723.46    -0.04   -1654.11    -0.00
 11   0.1558  -8729.91    -0.07   -1655.33    -0.11
 12   0.1584  -8867.41    -0.02   -1680.86     0.02
 13   0.1587  -8886.17     0.15   -1684.09     0.09
 14   0.1698  -9458.13    -0.02   -1792.99    -0.04
 15   0.2351 -12014.26    -0.04   -2402.85    -0.04
 16   0.2486 -12326.68     0.14   -2521.82     0.19
 17   0.2488 -12329.79     0.03   -2523.19    -0.00
 18   0.2540 -12426.63    -0.03   -2568.52    -0.01
 19   0.9641  26155.46    -0.05   -9810.61     0.05
 20   0.9641  26154.13     0.08   -9811.37     0.09
 21   0.9720  25964.31    -0.06   -9917.07    -0.10
 22   0.9801  25736.79     0.02  -10026.55     0.07
 23   1.1332  17938.24     0.12  -11778.54    -0.04
 24   1.1417  17434.58    -0.25  -11853.06     0.01
 25   1.1442  17283.27     0.12  -11875.36     0.02
 26   1.2835  11745.82 (  -0.51) -12743.55 (   0.48)
 27   1.3710  12583.00     0.06  -13083.44    -0.00
 28   4.2925  83209.07     0.08  -42084.92    -0.09
 29   4.2927  83201.38    -0.09  -42083.30     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.

13UR15    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        56.230    56.263    56.197
ecceobj         0.721     0.722     0.721
incobj         22.237    22.237    22.237
qmin           15.318    15.274    15.300
qmax          101.455   106.045    99.816
amean          56.194    57.698    55.864
amin           54.123    54.712    54.600
amax           58.597    61.299    57.822
emean           0.719     0.719     0.719
emin            0.701     0.694     0.702
emax            0.731     0.735     0.731
imean          22.368    23.704    22.299
imin           21.665    21.020    21.526
imax           24.290    28.405    24.261
excite_mean     0.814     0.824     0.813
fracstop        0.066     0.143     0.065
cjmean          2.298     2.285     2.299

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       194.4     217.4     196.7
kozaiamp         28.7      50.7      30.8