Orbit Fit and Astrometric record for 13TL228

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: 13TL228   
# Created Fri Dec  3 02:12:08 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     18 observations of     18
# Arc:   5.07y
# First observation: 2013/10/12
#  Last observation: 2018/11/07
# Chi-squared of fit:     6.69 DOF:     30 RMS:  0.11
# Min/Max residuals:    -0.20    0.18
# Exact a, adot, b, bdot, g, gdot:
  1.427470E-05  2.193449E-02  2.612454E-06  3.356800E-03  2.320536E-02  5.307458E-03
# Covariance matrix:
  3.7011E-13 -2.2050E-13  7.0985E-15 -1.9368E-14  9.3261E-15 -1.3260E-12
 -2.2050E-13  4.9123E-13 -2.4668E-14  6.7514E-14  7.1640E-14  4.6221E-12
  7.0985E-15 -2.4668E-14  3.2999E-13 -8.8457E-14 -6.6827E-15 -2.4988E-13
 -1.9368E-14  6.7514E-14 -8.8457E-14  3.9395E-14  1.9433E-14  6.8510E-13
  9.3261E-15  7.1640E-14 -6.6827E-15  1.9433E-14  5.9324E-13  1.3289E-12
 -1.3260E-12  4.6221E-12 -2.4988E-13  6.8510E-13  1.3289E-12  4.6901E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
    0.520907    0.504515   -0.310204    0.008734   -0.948265  2456577.621218
# Heliocentric elements and errors
Epoch:              2456578.5000  =  2013/10/13
Mean Anomaly:           58.57042 +/-     0.031
Argument of Peri:      276.97070 +/-     0.024
Long of Asc Node:      357.59346 +/-     0.000
Inclination:             8.73833 +/-     0.000
Eccentricity:         0.24867509 +/-    0.0003
Semi-Major Axis:     47.68120523 +/-    0.0117
Time of Perihelion: 2437012.8132 +/-      12.7
Perihelion:          35.82407738 +/-    0.0175
Aphelion:            59.53833308 +/-    0.0210
Period (y)              329.2525 +/-      0.12
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           44.03508875 +/-    0.0014
Ecliptic Y            0.70102298 +/-    0.0000
Ecliptic Z            0.39186202 +/-    0.0000
Ecliptic XDOT         0.00059359 +/-    0.0000
Ecliptic YDOT         0.00259185 +/-    0.0000
Ecliptic ZDOT         0.00040186 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   44.04225335 +/-    0.0014
Geocenter to KBO     43.09338641 +/-    0.0014
# Hcoef:  7.14

The following table shows the complete astrometric record for 13TL228. 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 (13TL228) followed by the observatory code and reference code for the source of the astrometry.

2013 10  12.12044  00 01 01.362  +00 40 42.98  23.2z 13TL228   W84  C~52Rf      
2013 10  13.06662  00 00 57.522  +00 40 19.86  22.9z 13TL228   W84  C~52Rf      
2013 10  13.10922  00 00 57.360  +00 40 18.83  23.6i 13TL228   W84  C~52Rf      
2013 11  23.08855  23 58 53.521  +00 27 55.95  23.3r 13TL228   W84  C~52Rf      
2015 11  07.07175  00 08 00.107  +01 51 30.68  23.6r 13TL228   W84  C~52Rf      
2016 09  11.20101  00 15 52.481  +02 53 11.96  23.4i 13TL228   W84  C~52Rf      
2016 10  02.17338  00 14 23.850  +02 44 22.42  23.5r 13TL228   W84  C~52Rf      
2016 10  02.17474  00 14 23.850  +02 44 22.31  23.7g 13TL228   W84  C~52Rf      
2017 08  22.31219  00 21 15.463  +03 39 05.92  24.0r 13TL228   W84  C~52Rf      
2017 08  22.31356  00 21 15.464  +03 39 06.09  23.7i 13TL228   W84  C~52Rf      
2017 08  22.31495  00 21 15.461  +03 39 05.72  23.9g 13TL228   W84  C~52Rf      
2017 08  28.26615  00 20 55.085  +03 37 12.30  24.1g 13TL228   W84  C~52Rf      
2017 08  28.26753  00 20 55.087  +03 37 12.17  23.6r 13TL228   W84  C~52Rf      
2017 09  27.17317  00 18 55.068  +03 25 30.51  23.6r 13TL228   W84  C~52Rf      
2017 09  27.19103  00 18 54.991  +03 25 29.79  23.6i 13TL228   W84  C~52Rf      
2017 09  27.19240  00 18 54.998  +03 25 29.94  24.0g 13TL228   W84  C~52Rf      
2018 10  18.19329  00 21 35.285  +03 55 10.96  23.3i 13TL228   W84  C~52Rf      
2018 11  07.12913  00 20 23.519  +03 47 44.38  23.7r 13TL228   W84  C~52Rf      

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     0.15       0.00    -0.01
     2   0.0026      0.00    -0.20       0.00     0.02
     3   0.0027      0.00    -0.01       0.00     0.03
     4   0.1149      0.00     0.03       0.00    -0.01
     5   2.0697      0.00    -0.00       0.00     0.12
     6   2.9160      0.00     0.14       0.00    -0.02
     7   2.9735      0.00    -0.02       0.00     0.03
     8   2.9735      0.00     0.07       0.00    -0.04
     9   3.8609      0.00     0.07       0.00    -0.05
    10   3.8609      0.00     0.15       0.00     0.14
    11   3.8609      0.00     0.18       0.00    -0.20
    12   3.8772      0.00    -0.17       0.00     0.02
    13   3.8772      0.00    -0.06       0.00    -0.08
    14   3.9591      0.00    -0.15       0.00     0.07
    15   3.9591      0.00    -0.14       0.00    -0.20
    16   3.9591      0.00     0.05       0.00    -0.01
    17   5.0159      0.00    -0.08       0.00     0.18
    18   5.0705      0.00     0.08       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.

13TL228    quality flag:3

Type:           2:1E      2:1E      2:1E

axisobj        47.995    47.995    47.994
ecceobj         0.251     0.251     0.251
incobj          8.710     8.710     8.710
qmin           34.528    34.528    34.528
qmax           61.646    61.647    61.646
amean          47.798    47.798    47.798
amin           47.305    47.305    47.305
amax           48.426    48.427    48.425
emean           0.252     0.252     0.252
emin            0.224     0.224     0.224
emax            0.276     0.276     0.276
imean           9.448     9.448     9.447
imin            8.622     8.623     8.622
imax           10.649    10.649    10.648
excite_mean     0.301     0.301     0.301
fracstop        1.000     1.000     1.000
cjmean          3.035     3.035     3.035

libcent 0        77.7      77.7      77.7
libamp  0        25.4      25.4      25.4
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       183.6     183.5     183.7
kozaiamp        179.9     179.9     179.9