Orbit Fit and Astrometric record for 13TU187

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: 13TU187   
# Created Tue Dec  7 02:12:11 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     37 observations of     37
# Arc:   5.21y
# First observation: 2013/09/12
#  Last observation: 2018/11/29
# Chi-squared of fit:    10.15 DOF:     68 RMS:  0.09
# Min/Max residuals:    -0.34    0.22
# Exact a, adot, b, bdot, g, gdot:
  1.757009E-05  3.619884E-02  2.994353E-06  4.874207E-03  3.102927E-02  1.375135E-03
# Covariance matrix:
  2.5860E-13 -3.2892E-14 -9.0280E-15  2.9999E-15  1.4955E-13  4.6729E-14
 -3.2892E-14  1.3604E-13 -1.1187E-14  2.0074E-14  5.7755E-14  8.3781E-13
 -9.0280E-15 -1.1187E-14  9.2192E-14 -2.6113E-14 -1.4201E-14 -8.1431E-14
  2.9999E-15  2.0074E-14 -2.6113E-14  1.4760E-14  1.3364E-14  1.3775E-13
  1.4955E-13  5.7755E-14 -1.4201E-14  1.3364E-14  1.6782E-13  4.8571E-13
  4.6729E-14  8.3781E-13 -8.1431E-14  1.3775E-13  4.8571E-13  5.6994E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
  -13.267971   25.596786    0.593846   -0.186584   -0.791748  2456547.896328
# Heliocentric elements and errors
Epoch:              2456548.5000  =  2013/09/13
Mean Anomaly:            5.48022 +/-     0.019
Argument of Peri:      291.53879 +/-     0.026
Long of Asc Node:       84.46231 +/-     0.001
Inclination:            14.87237 +/-     0.000
Eccentricity:         0.16277833 +/-    0.0000
Semi-Major Axis:     39.39722834 +/-    0.0024
Time of Perihelion: 2455173.5317 +/-       4.7
Perihelion:          32.98421323 +/-    0.0027
Aphelion:            45.81024345 +/-    0.0033
Period (y)              247.2901 +/-      0.02
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           29.27852690 +/-    0.0004
Ecliptic Y           13.37067172 +/-    0.0002
Ecliptic Z           -7.39636042 +/-    0.0001
Ecliptic XDOT        -0.00119057 +/-    0.0000
Ecliptic YDOT         0.00297300 +/-    0.0000
Ecliptic ZDOT         0.00039088 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   33.02593534 +/-    0.0003
Geocenter to KBO     32.22763324 +/-    0.0004
# Hcoef:  7.67

The following table shows the complete astrometric record for 13TU187. 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 (13TU187) followed by the observatory code and reference code for the source of the astrometry.

2013 09  12.39555  01 54 06.028  -02 28 54.24  23.3g 13TU187   W84  C~4yRE      
2013 10  03.29691  01 52 27.208  -02 41 18.62  23.7g 13TU187   W84  C~4yRE      
2013 10  03.29691  01 52 27.21   -02 41 18.6   23.8g 13TU187   W84  C~3clQ      
2013 10  26.15096  01 50 19.032  -02 53 04.40  23.7g 13TU187   W84  C~4yRE      
2013 12  01.17860  01 47 14.683  -03 01 54.34  23.4g 13TU187   W84  C~4yRE      
2013 12  01.17860  01 47 14.68   -03 01 54.3   23.7g 13TU187   W84  C~3clQ      
2013 12  01.18139  01 47 14.674  -03 01 54.37  22.6i 13TU187   W84  C~4yRE      
2013 12  01.18139  01 47 14.68   -03 01 54.3   22.8i 13TU187   W84  C~3clQ      
2013 12  20.12539  01 46 13.947  -03 00 00.12  23.0i 13TU187   W84  C~4yRE      
2013 12  20.12679  01 46 13.936  -03 00 00.08  22.4z 13TU187   W84  C~4yRE      
2013 12  28.10713  01 45 59.270  -02 57 45.84  22.9r 13TU187   W84  C~4yRE      
2013 12  28.10713  01 45 59.27   -02 57 45.8   23.1r 13TU187   W84  C~3clQ      
2013 12  28.10852  01 45 59.263  -02 57 45.70  23.0i 13TU187   W84  C~4yRE      
2013 12  28.10852  01 45 59.26   -02 57 45.7   23.2i 13TU187   W84  C~3clQ      
2014 08  18.37835  02 02 34.724  -01 15 15.59  21.1i 13TU187   W84  C~4yRE      
2014 12  25.09950  01 53 19.440  -01 59 27.99  23.1r 13TU187   W84  C~4yRE      
2014 12  25.09950  01 53 19.44   -01 59 28.0   23.2r 13TU187   W84  C~3clQ      
2014 12  26.06520  01 53 17.599  -01 59 12.38  22.2z 13TU187   W84  C~4yRE      
2014 12  26.06520  01 53 17.60   -01 59 12.4   22.4z 13TU187   W84  C~3clQ      
2014 12  26.06658  01 53 17.580  -01 59 12.32  22.6i 13TU187   W84  C~4yRE      
2014 12  26.06658  01 53 17.58   -01 59 12.3   22.8i 13TU187   W84  C~3clQ      
2016 09  09.39746  02 16 10.632  +00 32 54.08  22.4i 13TU187   W84  C~4yRE      
2016 09  09.39746  02 16 10.63   +00 32 54.2   22.2i 13TU187   W84  C~3clQ      
2016 11  07.17116  02 11 12.777  +00 03 23.70  22.5z 13TU187   W84  C~4yRE      
2016 11  07.17116  02 11 12.78   +00 03 23.7   22.6z 13TU187   W84  C~3clQ      
2017 10  13.24668  02 20 54.895  +01 14 45.29  23.1i 13TU187   W84  C~4yRE      
2017 10  13.24804  02 20 54.871  +01 14 45.29  23.1r 13TU187   W84  C~4yRE      
2017 10  21.22556  02 20 10.225  +01 10 48.27  23.5g 13TU187   W84  C~4yRE      
2017 10  30.21948  02 19 18.395  +01 06 45.17  22.1z 13TU187   W84  C~4yRE      
2017 11  16.17097  02 17 41.989  +01 00 46.40  23.2g 13TU187   W84  C~4yRE      
2017 11  16.18502  02 17 41.908  +01 00 46.14  22.9r 13TU187   W84  C~4yRE      
2017 12  07.03810  02 15 59.164  +00 57 21.36  22.4i 13TU187   W84  C~4yRE      
2017 12  24.06658  02 14 59.700  +00 58 23.02  22.6z 13TU187   W84  C~4yRE      
2018 09  11.33153  02 30 34.283  +02 31 08.08  22.9i 13TU187   W84  C~4yRE      
2018 09  11.33817  02 30 34.251  +02 31 08.00  22.8r 13TU187   W84  C~4yRE      
2018 09  11.33956  02 30 34.248  +02 31 07.95  23.6g 13TU187   W84  C~4yRE      
2018 11  29.17757  02 23 51.579  +01 57 49.05  23.4g 13TU187   W84  C~4yRE      

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     0.21       0.00    -0.03
     2   0.0572      0.00     0.06       0.00    -0.00
     3   0.0572      0.00     0.03       0.00    -0.02
     4   0.1198      0.00     0.16       0.00     0.03
     5   0.2184      0.00    -0.07       0.00     0.01
     6   0.2184      0.00    -0.03       0.00    -0.03
     7   0.2184      0.00     0.01       0.00    -0.06
     8   0.2184      0.00     0.10       0.00     0.01
     9   0.2703      0.00     0.06       0.00    -0.14
    10   0.2703      0.00    -0.05       0.00    -0.12
    11   0.2922      0.00    -0.00       0.00     0.01
    12   0.2922      0.00    -0.00       0.00    -0.03
    13   0.2922      0.00    -0.12       0.00     0.09
    14   0.2922      0.00    -0.08       0.00     0.09
    15   0.9308      0.00    -0.34       0.00    -0.02
    16   1.2832      0.00    -0.02       0.00    -0.08
    17   1.2832      0.00    -0.02       0.00    -0.07
    18   1.2859      0.00     0.13       0.00     0.06
    19   1.2859      0.00     0.11       0.00     0.08
    20   1.2859      0.00    -0.13       0.00     0.13
    21   1.2859      0.00    -0.13       0.00     0.11
    22   2.9925      0.00    -0.08       0.00     0.17
    23   2.9925      0.00    -0.05       0.00     0.05
    24   3.1534      0.00     0.09       0.00     0.04
    25   3.1534      0.00     0.04       0.00     0.04
    26   4.0845      0.00     0.22       0.00    -0.04
    27   4.0845      0.00    -0.02       0.00     0.00
    28   4.1063      0.00    -0.05       0.00     0.05
    29   4.1309      0.00     0.01       0.00    -0.09
    30   4.1773      0.00     0.12       0.00    -0.05
    31   4.1774      0.00     0.08       0.00    -0.08
    32   4.2345      0.00     0.10       0.00    -0.09
    33   4.2811      0.00    -0.17       0.00     0.01
    34   4.9964      0.00     0.07       0.00    -0.07
    35   4.9964      0.00    -0.09       0.00     0.05
    36   4.9964      0.00    -0.07       0.00     0.04
    37   5.2123      0.00     0.04       0.00     0.03

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.

13TU187    quality flag:3

Type:           3:2E      3:2E      3:2E

axisobj        39.621    39.621    39.621
ecceobj         0.168     0.168     0.168
incobj         14.881    14.881    14.881
qmin           32.437    32.437    32.431
qmax           47.202    47.196    47.206
amean          39.457    39.457    39.457
amin           38.983    38.979    38.983
amax           39.986    39.981    39.988
emean           0.161     0.161     0.161
emin            0.141     0.141     0.141
emax            0.181     0.181     0.181
imean          13.166    13.166    13.166
imin           12.633    12.633    12.633
imax           13.737    13.738    13.736
excite_mean     0.279     0.279     0.279
fracstop        1.000     1.000     1.000
cjmean          2.963     2.963     2.963

libcent 0       179.9     180.4     179.7
libamp  0       108.5     107.7     108.3
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       183.0     183.0     183.0
kozaiamp        180.0     180.0     180.0