Orbit Fit and Astrometric record for 13TR187

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: 13TR187   
# Created Wed Dec  8 02:12:09 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     34 observations of     34
# Arc:   8.09y
# First observation: 2013/10/03
#  Last observation: 2021/11/05
# Chi-squared of fit:     9.58 DOF:     62 RMS:  0.09
# Min/Max residuals:    -0.26    0.20
# Exact a, adot, b, bdot, g, gdot:
  1.853016E-05  3.065158E-02  1.887233E-06  3.932543E-03  2.651235E-02 -5.102290E-03
# Covariance matrix:
  2.0074E-13 -4.9096E-14  5.9320E-16 -4.5309E-15  1.4451E-13 -1.3935E-13
 -4.9096E-14  6.4100E-14 -8.8787E-15  7.6786E-15  6.3383E-14  2.4704E-13
  5.9320E-16 -8.8787E-15  1.0018E-13 -2.1283E-14 -1.7815E-14 -3.7885E-14
 -4.5309E-15  7.6786E-15 -2.1283E-14  8.1685E-15  7.2792E-15  3.3394E-14
  1.4451E-13  6.3383E-14 -1.7815E-14  7.2792E-15  4.2807E-13  2.4717E-13
 -1.3935E-13  2.4704E-13 -3.7885E-14  3.3394E-14  2.4717E-13  1.0733E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
  -12.506352   18.334354    0.146752   -0.214230   -0.966351  2456568.789188
# Heliocentric elements and errors
Epoch:              2456568.5000  =  2013/10/03
Mean Anomaly:          346.03042 +/-     0.005
Argument of Peri:      334.86258 +/-     0.007
Long of Asc Node:       76.87369 +/-     0.001
Inclination:            14.17848 +/-     0.000
Eccentricity:         0.40051734 +/-    0.0001
Semi-Major Axis:     61.30453667 +/-    0.0110
Time of Perihelion: 2463371.7771 +/-      45.3
Perihelion:          36.75100665 +/-    0.0087
Aphelion:            85.85806669 +/-    0.0164
Period (y)              480.0065 +/-      0.13
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           35.93911857 +/-    0.0009
Ecliptic Y           11.75835981 +/-    0.0003
Ecliptic Z           -8.16777414 +/-    0.0002
Ecliptic XDOT        -0.00140666 +/-    0.0000
Ecliptic YDOT         0.00286911 +/-    0.0000
Ecliptic ZDOT         0.00051070 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   38.68592658 +/-    0.0008
Geocenter to KBO     37.71841700 +/-    0.0009
# Hcoef:  7.50

The following table shows the complete astrometric record for 13TR187. 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 (13TR187) followed by the observatory code and reference code for the source of the astrometry.

2013 10  03.28841  01 26 36.599  -04 23 19.33  24.0g 13TR187   W84  C~4yRD      
2013 10  03.28841  01 26 36.60   -04 23 19.3   24.2g 13TR187   W84  C~3clQ      
2013 10  04.19728  01 26 32.346  -04 23 45.77  23.9g 13TR187   W84  C~4yRD      
2013 10  04.19728  01 26 32.35   -04 23 45.8   24.1g 13TR187   W84  C~3clQ      
2013 11  03.05351  01 24 09.87   -04 35 30.7   23.7r 13TR187   W84  C~3clQ      
2013 11  03.11582  01 24 09.58   -04 35 31.8         13TR187   W84  C~3clQ      
2013 11  03.20125  01 24 09.18   -04 35 33.3         13TR187   W84  C~3clQ      
2014 10  29.25836  01 30 44.690  -03 41 25.10  23.1i 13TR187   W84  C~4yRD      
2014 10  29.25836  01 30 44.69   -03 41 25.1   23.4i 13TR187   W84  C~3clQ      
2014 10  29.25974  01 30 44.691  -03 41 25.09  23.3r 13TR187   W84  C~4yRD      
2014 11  17.16106  01 29 20.418  -03 46 08.10  23.0r 13TR187   W84  C~4yRD      
2014 11  17.16106  01 29 20.42   -03 46 08.1   23.0r 13TR187   W84  C~3clQ      
2014 11  21.10696  01 29 04.861  -03 46 40.27  22.6i 13TR187   W84  C~4yRD      
2014 11  21.10696  01 29 04.86   -03 46 40.3   22.8i 13TR187   W84  C~3clQ      
2014 12  06.10938  01 28 15.088  -03 47 07.75  22.6z 13TR187   W84  C~4yRD      
2015 11  01.20427  01 36 46.01   -02 49 04.5   23.5i 13TR187   W84  C~3clQ      
2015 11  07.12743  01 36 18.215  -02 50 50.65  23.6r 13TR187   W84  C~4yRD      
2015 11  07.12743  01 36 18.21   -02 50 50.6   23.5r 13TR187   W84  C~3clQ      
2016 11  10.12874  01 42 17.354  -01 58 03.48  22.4z 13TR187   W84  C~4yRD      
2016 11  25.08231  01 41 14.46   -02 00 42.6   23.6r 13TR187   W84  C~3clQ      
2016 11  25.08369  01 41 14.466  -02 00 42.38  23.1i 13TR187   W84  C~4yRD      
2016 11  25.08369  01 41 14.46   -02 00 42.4   23.3i 13TR187   W84  C~3clQ      
2016 11  25.08506  01 41 14.459  -02 00 42.53  23.8g 13TR187   W84  C~4yRD      
2017 10  29.24970  01 49 34.873  -00 59 56.09  22.8z 13TR187   W84  C~4yRD      
2017 11  18.12808  01 48 01.775  -01 05 28.39  23.4r 13TR187   W84  C~4yRD      
2017 11  18.12945  01 48 01.767  -01 05 28.50  23.7g 13TR187   W84  C~4yRD      
2018 09  09.26961  01 59 40.441  +00 17 45.51  22.9r 13TR187   W84  C~4yRD      
2018 09  09.38869  01 59 40.031  +00 17 42.20  22.7z 13TR187   W84  C~4yRD      
2018 11  07.22249  01 55 15.330  -00 07 50.38  23.0r 13TR187   W84  C~4yRD      
2018 11  07.22386  01 55 15.312  -00 07 50.42  23.4i 13TR187   W84  C~4yRD      
2018 11  30.12303  01 53 35.351  -00 12 22.09  23.6g 13TR187   W84  C~4yRD      
2021 11  05.253220 02 14 53.681  +02 40 15.88  23.2G 13TR187   G37  C~5BQr      
2021 11  05.308310 02 14 53.398  +02 40 14.72        13TR187   G37  C~5BQr      
2021 11  05.367840 02 14 53.090  +02 40 13.64        13TR187   G37  C~5BQr      

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    -0.08       0.00     0.07
     2   0.0000      0.00    -0.10       0.00     0.04
     3   0.0025      0.00     0.16       0.00    -0.06
     4   0.0025      0.00     0.10       0.00    -0.03
     5   0.0842      0.00     0.00       0.00    -0.01
     6   0.0844      0.00    -0.01       0.00    -0.06
     7   0.0846      0.00    -0.06       0.00    -0.13
     8   1.0704      0.00    -0.09       0.00     0.06
     9   1.0704      0.00    -0.09       0.00     0.06
    10   1.0704      0.00     0.02       0.00     0.10
    11   1.1222      0.00     0.12       0.00    -0.02
    12   1.1222      0.00     0.09       0.00    -0.02
    13   1.1330      0.00    -0.01       0.00    -0.04
    14   1.1330      0.00     0.00       0.00    -0.01
    15   1.1740      0.00    -0.14       0.00     0.10
    16   2.0778      0.00     0.14       0.00     0.20
    17   2.0940      0.00    -0.03       0.00    -0.02
    18   2.0940      0.00     0.04       0.00    -0.07
    19   3.1043      0.00     0.15       0.00     0.13
    20   3.1452      0.00    -0.08       0.00    -0.22
    21   3.1452      0.00    -0.00       0.00    -0.01
    22   3.1452      0.00     0.09       0.00     0.01
    23   3.1452      0.00     0.06       0.00    -0.13
    24   4.0711      0.00     0.07       0.00     0.16
    25   4.1255      0.00    -0.00       0.00    -0.02
    26   4.1255      0.00    -0.03       0.00    -0.12
    27   4.9336      0.00     0.08       0.00     0.14
    28   4.9339      0.00    -0.26       0.00     0.11
    29   5.0950      0.00    -0.02       0.00    -0.04
    30   5.0950      0.00    -0.19       0.00    -0.06
    31   5.1577      0.00     0.11       0.00     0.04
    32   8.0903      0.00     0.05       0.00    -0.02
    33   8.0904      0.00     0.04       0.00    -0.09
    34   8.0906      0.00     0.00       0.00     0.02

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.

13TR187    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        61.829    61.828    61.829
ecceobj         0.404     0.404     0.404
incobj         14.183    14.183    14.183
qmin           35.652    35.608    35.618
qmax           88.468    87.403    87.502
amean          61.163    60.877    60.935
amin           60.148    60.063    60.100
amax           62.402    61.890    61.995
emean           0.402     0.399     0.400
emin            0.387     0.386     0.385
emax            0.418     0.413     0.415
imean          12.459    12.403    12.397
imin           11.616    11.517    11.531
imax           13.118    13.141    13.134
excite_mean     0.456     0.453     0.454
fracstop        1.000     1.000     1.000
cjmean          3.041     3.041     3.041

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       172.0     168.4     169.8
kozaiamp        180.0     180.0     180.0