Orbit Fit and Astrometric record for 13TY171

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: 13TY171   
# Created Tue Dec  7 02:12:08 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     68 observations of     68
# Arc:   8.15y
# First observation: 2013/10/04
#  Last observation: 2021/11/26
# Chi-squared of fit:    16.15 DOF:    130 RMS:  0.09
# Min/Max residuals:    -0.36    0.20
# Exact a, adot, b, bdot, g, gdot:
  1.670777E-05  3.102199E-02  5.210078E-06  1.119113E-02  2.976897E-02  7.206456E-03
# Covariance matrix:
  8.5483E-14 -3.6719E-14  8.0005E-15 -9.8733E-15  2.6360E-14 -1.3582E-13
 -3.6719E-14  3.4043E-14 -1.0560E-14  1.1124E-14  1.1914E-14  1.5340E-13
  8.0005E-15 -1.0560E-14  5.8140E-14 -1.7857E-14 -6.3029E-15 -5.7070E-14
 -9.8733E-15  1.1124E-14 -1.7857E-14  1.0366E-14  2.4759E-15  6.1315E-14
  2.6360E-14  1.1914E-14 -6.3029E-15  2.4759E-15  1.0904E-13  3.5083E-14
 -1.3582E-13  1.5340E-13 -5.7070E-14  6.1315E-14  3.5083E-14  8.4522E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
  -16.176431   21.912981    0.192483   -0.273376   -0.942811  2456569.722038
# Heliocentric elements and errors
Epoch:              2456570.5000  =  2013/10/05
Mean Anomaly:           47.18417 +/-     0.006
Argument of Peri:      248.09114 +/-     0.007
Long of Asc Node:       58.86092 +/-     0.000
Inclination:            24.92922 +/-     0.000
Eccentricity:         0.24194429 +/-    0.0000
Semi-Major Axis:     39.44136104 +/-    0.0022
Time of Perihelion: 2444712.2645 +/-       1.7
Perihelion:          29.89874897 +/-    0.0022
Aphelion:            48.98397311 +/-    0.0031
Period (y)              247.7057 +/-      0.02
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           30.91313875 +/-    0.0003
Ecliptic Y           12.23088835 +/-    0.0001
Ecliptic Z           -9.35846892 +/-    0.0001
Ecliptic XDOT        -0.00021436 +/-    0.0000
Ecliptic YDOT         0.00299016 +/-    0.0000
Ecliptic ZDOT         0.00080399 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   34.53677826 +/-    0.0003
Geocenter to KBO     33.59193814 +/-    0.0004
# Hcoef:  7.15

The following table shows the complete astrometric record for 13TY171. 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 (13TY171) followed by the observatory code and reference code for the source of the astrometry.

2013 10  04.22126  01 45 03.263  -06 29 24.96  23.5g 13TY171   W84  C~4yR8      
2013 10  04.22126  01 45 03.26   -06 29 25.0   23.5g 13TY171   W84  C~3clO      
2013 10  04.23940  01 45 03.168  -06 29 25.65  22.4r 13TY171   W84  C~4yR8      
2013 10  04.23940  01 45 03.17   -06 29 25.7   22.7r 13TY171   W84  C~3clO      
2013 10  04.24078  01 45 03.161  -06 29 25.75  22.2i 13TY171   W84  C~4yR8      
2013 10  04.24078  01 45 03.16   -06 29 25.7   22.3i 13TY171   W84  C~3clO      
2013 10  11.205637 01 44 24.68   -06 32 53.1   23.6g 13TY171   W84  C~352D      
2013 10  11.20755  01 44 24.674  -06 32 52.78  22.4r 13TY171   W84  C~4yR8      
2013 10  11.20755  01 44 24.67   -06 32 52.8   22.4r 13TY171   W84  C~3clO      
2013 10  11.20892  01 44 24.67   -06 32 52.8   22.1i 13TY171   W84  C~3clO      
2013 11  08.14417  01 41 47.614  -06 42 33.21  23.7g 13TY171   W84  C~4yR8      
2013 11  08.14417  01 41 47.61   -06 42 33.2   23.6g 13TY171   W84  C~3clO      
2013 11  08.14556  01 41 47.609  -06 42 33.35  22.5r 13TY171   W84  C~4yR8      
2013 11  08.14556  01 41 47.61   -06 42 33.4   22.5r 13TY171   W84  C~3clO      
2013 11  08.146470 01 41 47.59   -06 42 33.4   22.2i 13TY171   W84  C~352D      
2014 09  25.26318  01 51 28.514  -05 09 42.52  22.2i 13TY171   W84  C~4yR8      
2014 09  25.26318  01 51 28.51   -05 09 42.5   22.3i 13TY171   W84  C~3clO      
2014 11  03.24535  01 47 54.666  -05 26 42.19  21.5z 13TY171   W84  C~4yR8      
2014 11  03.24535  01 47 54.67   -05 26 42.2   21.5z 13TY171   W84  C~3clO      
2014 12  13.15215  01 44 54.108  -05 27 52.94  22.0i 13TY171   W84  C~4yR8      
2014 12  13.15215  01 44 54.11   -05 27 53.0   22.3i 13TY171   W84  C~3clO      
2014 12  25.09642  01 44 24.706  -05 24 10.68  22.8r 13TY171   W84  C~4yR8      
2014 12  25.09642  01 44 24.71   -05 24 10.7   22.9r 13TY171   W84  C~3clO      
2015 01  16.051505 01 44 10.39   -05 12 46.5   22.2z 13TY171   W84  C~352D      
2015 01  16.052870 01 44 10.39   -05 12 46.4   22.1z 13TY171   W84  C~352D      
2015 08  24.413102 01 58 56.14   -03 39 01.9   22.3i 13TY171   W84  C~352D      
2015 08  24.41363  01 58 56.162  -03 39 01.92  22.4i 13TY171   W84  C~4yR8      
2015 10  17.21061  01 55 04.508  -04 06 35.04  22.7r 13TY171   W84  C~4yR8      
2015 10  17.21061  01 55 04.51   -04 06 35.0   22.8r 13TY171   W84  C~3clO      
2015 10  22.25471  01 54 36.102  -04 08 41.05  22.0i 13TY171   W84  C~4yR8      
2015 10  22.25471  01 54 36.10   -04 08 41.1   22.1i 13TY171   W84  C~3clO      
2015 11  01.19867  01 53 40.064  -04 12 12.62  22.3i 13TY171   W84  C~4yR8      
2015 11  01.19867  01 53 40.06   -04 12 12.6   22.4i 13TY171   W84  C~3clO      
2015 11  06.16972  01 53 12.530  -04 13 37.35  21.9i 13TY171   W84  C~4yR8      
2015 11  06.16972  01 53 12.53   -04 13 37.5   22.2i 13TY171   W84  C~3clO      
2015 11  16.14155  01 52 19.55   -04 15 40.2   22.3r 13TY171   W84  C~3clO      
2015 11  16.14295  01 52 19.548  -04 15 40.16  21.5i 13TY171   W84  C~4yR8      
2015 11  16.14295  01 52 19.55   -04 15 40.1   21.6i 13TY171   W84  C~3clO      
2015 11  20.12920  01 51 59.589  -04 16 09.84  22.3z 13TY171   W84  C~4yR8      
2015 11  20.12920  01 51 59.59   -04 16 09.8   22.4z 13TY171   W84  C~3clO      
2016 09  06.40635  02 03 38.764  -02 33 34.05  21.9z 13TY171   W84  C~4yR8      
2016 09  08.38344  02 03 31.899  -02 34 34.38  22.5i 13TY171   W84  C~4yR8      
2016 09  08.38344  02 03 31.90   -02 34 34.4   22.4i 13TY171   W84  C~3clO      
2016 09  08.38483  02 03 31.895  -02 34 34.59  23.2r 13TY171   W84  C~4yR8      
2016 09  08.38483  02 03 31.89   -02 34 34.6   23.1r 13TY171   W84  C~3clO      
2016 11  07.15675  01 58 29.649  -03 01 12.18  22.4z 13TY171   W84  C~4yR8      
2016 11  07.15675  01 58 29.65   -03 01 12.2   22.4z 13TY171   W84  C~3clO      
2016 11  07.15812  01 58 29.641  -03 01 12.12  22.3i 13TY171   W84  C~4yR8      
2016 11  07.15812  01 58 29.64   -03 01 12.1   22.3i 13TY171   W84  C~3clO      
2016 11  25.17780  01 56 57.954  -03 04 02.24  22.8r 13TY171   W84  C~4yR8      
2016 11  25.17780  01 56 57.95   -03 04 02.2   22.9r 13TY171   W84  C~3clO      
2016 11  28.15083  01 56 44.486  -03 04 08.73  22.4i 13TY171   W84  C~4yR8      
2016 11  28.15083  01 56 44.49   -03 04 08.7   22.5i 13TY171   W84  C~3clO      
2016 12  06.062257 01 56 11.67   -03 03 53.8   22.1z 13TY171   W84  C~352D      
2017 09  14.307650 02 08 28.50   -01 25 51.3   22.6r 13TY171   W84  C~352D      
2017 09  14.30817  02 08 28.501  -01 25 51.40  22.5r 13TY171   W84  C~4yR8      
2017 10  22.20898  02 05 21.090  -01 43 47.86  23.7g 13TY171   W84  C~4yR8      
2017 11  23.124317 02 02 29.41   -01 52 11.6   22.8r 13TY171   W84  C~352D      
2017 11  23.12484  02 02 29.412  -01 52 11.61  22.7r 13TY171   W84  C~4yR8      
2017 11  23.12621  02 02 29.412  -01 52 11.67  22.5z 13TY171   W84  C~4yR8      
2018 10  19.28824  02 10 54.827  -00 31 23.04  22.2z 13TY171   W84  C~4yR8      
2018 10  20.20080  02 10 49.806  -00 31 45.80  22.2z 13TY171   W84  C~4yR8      
2018 11  07.22536  02 09 09.697  -00 38 04.53  23.0r 13TY171   W84  C~4yR8      
2018 11  07.22673  02 09 09.688  -00 38 04.66  22.7i 13TY171   W84  C~4yR8      
2018 11  07.22811  02 09 09.666  -00 38 04.58  24.2g 13TY171   W84  C~4yR8      
2021 11  26.280409 02 22 54.114  +02 45 03.61  22.9w 13TY171   F51  C~5HDE      
2021 11  26.293336 02 22 54.052  +02 45 03.61  22.8w 13TY171   F51  C~5HDE      
2021 11  26.306293 02 22 53.961  +02 45 03.51  23.0w 13TY171   F51  C~5HDE      

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    -0.10       0.00     0.12
     2   0.0000      0.00    -0.06       0.00     0.16
     3   0.0000      0.00     0.02       0.00     0.04
     4   0.0000      0.00     0.05       0.00    -0.01
     5   0.0001      0.00     0.03       0.00    -0.02
     6   0.0001      0.00     0.01       0.00     0.03
     7   0.0191      0.00    -0.05       0.00    -0.36
     8   0.0191      0.00    -0.04       0.00    -0.01
     9   0.0191      0.00     0.02       0.00     0.01
    10   0.0191      0.00     0.08       0.00     0.03
    11   0.0956      0.00    -0.04       0.00     0.11
    12   0.0956      0.00     0.02       0.00     0.10
    13   0.0956      0.00     0.07       0.00    -0.07
    14   0.0956      0.00     0.06       0.00    -0.02
    15   0.0956      0.00    -0.15       0.00    -0.06
    16   0.9748      0.00     0.01       0.00     0.06
    17   0.9748      0.00    -0.05       0.00     0.08
    18   1.0815      0.00    -0.03       0.00    -0.02
    19   1.0815      0.00    -0.09       0.00    -0.01
    20   1.1908      0.00     0.00       0.00     0.02
    21   1.1908      0.00    -0.03       0.00     0.08
    22   1.2235      0.00     0.08       0.00    -0.10
    23   1.2235      0.00     0.02       0.00    -0.08
    24   1.2836      0.00    -0.00       0.00     0.02
    25   1.2836      0.00    -0.01       0.00     0.07
    26   1.8869      0.00    -0.30       0.00     0.04
    27   1.8869      0.00     0.05       0.00     0.04
    28   2.0342      0.00     0.02       0.00     0.07
    29   2.0342      0.00    -0.01       0.00     0.03
    30   2.0480      0.00     0.03       0.00    -0.12
    31   2.0480      0.00     0.06       0.00    -0.07
    32   2.0752      0.00    -0.07       0.00    -0.05
    33   2.0752      0.00    -0.01       0.00    -0.07
    34   2.0888      0.00     0.02       0.00     0.01
    35   2.0888      0.00     0.02       0.00     0.16
    36   2.1161      0.00     0.01       0.00    -0.09
    37   2.1161      0.00     0.12       0.00     0.02
    38   2.1161      0.00     0.09       0.00    -0.04
    39   2.1271      0.00     0.15       0.00     0.04
    40   2.1271      0.00     0.13       0.00     0.00
    41   2.9245      0.00     0.20       0.00     0.11
    42   2.9299      0.00     0.00       0.00     0.11
    43   2.9299      0.00    -0.01       0.00     0.13
    44   2.9299      0.00    -0.07       0.00    -0.05
    45   2.9299      0.00     0.00       0.00    -0.04
    46   3.0936      0.00     0.02       0.00    -0.14
    47   3.0936      0.00     0.00       0.00    -0.12
    48   3.0936      0.00    -0.02       0.00    -0.02
    49   3.0936      0.00    -0.00       0.00    -0.04
    50   3.1429      0.00    -0.08       0.00     0.08
    51   3.1429      0.00    -0.02       0.00     0.04
    52   3.1511      0.00     0.09       0.00     0.01
    53   3.1511      0.00     0.03       0.00    -0.02
    54   3.1727      0.00    -0.21       0.00     0.04
    55   3.9455      0.00    -0.02       0.00    -0.00
    56   3.9455      0.00     0.03       0.00    -0.09
    57   4.0492      0.00     0.14       0.00    -0.02
    58   4.1366      0.00    -0.09       0.00    -0.02
    59   4.1366      0.00    -0.02       0.00    -0.03
    60   4.1366      0.00     0.08       0.00    -0.08
    61   5.0406      0.00     0.03       0.00     0.15
    62   5.0431      0.00     0.01       0.00    -0.04
    63   5.0924      0.00     0.13       0.00     0.03
    64   5.0924      0.00     0.11       0.00    -0.07
    65   5.0924      0.00    -0.11       0.00     0.03
    66   8.1453      0.00     0.07       0.00    -0.06
    67   8.1453      0.00     0.10       0.00     0.05
    68   8.1453      0.00    -0.30       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.

13TY171    quality flag:3

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

axisobj        39.690    39.690    39.690
ecceobj         0.247     0.247     0.247
incobj         24.927    24.927    24.927
qmin           28.119    28.119    28.120
qmax           51.427    51.429    51.426
amean          39.454    39.454    39.454
amin           38.975    38.975    38.975
amax           40.012    40.012    40.012
emean           0.251     0.251     0.251
emin            0.209     0.209     0.209
emax            0.287     0.287     0.287
imean          23.521    23.521    23.521
imin           22.477    22.478    22.477
imax           24.636    24.637    24.636
excite_mean     0.472     0.472     0.472
fracstop        1.000     1.000     1.000
cjmean          2.794     2.794     2.794

libcent 0       179.5     179.5     179.4
libamp  0        99.9      99.9      99.9
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       268.8     268.8     268.8
kozaiamp         28.7      28.7      28.7