Orbit Fit and Astrometric record for 13TN228

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: 13TN228   
# Created Mon Dec  6 02:12:07 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     21 observations of     21
# Arc:   5.12y
# First observation: 2013/10/13
#  Last observation: 2018/11/26
# Chi-squared of fit:     3.67 DOF:     36 RMS:  0.07
# Min/Max residuals:    -0.11    0.24
# Exact a, adot, b, bdot, g, gdot:
  1.872176E-05  3.223137E-02 -6.597558E-06 -1.131953E-02  2.757138E-02 -1.049103E-02
# Covariance matrix:
  6.2026E-13 -3.2872E-13 -7.3746E-14  7.9074E-14 -3.9698E-14 -1.2329E-12
 -3.2872E-13  2.8745E-13  8.6244E-14 -9.2470E-14  4.4829E-14  1.4418E-12
 -7.3746E-14  8.6244E-14  4.6411E-13 -1.4329E-13  1.3006E-14  4.9053E-13
  7.9074E-14 -9.2470E-14 -1.4329E-13  6.7555E-14 -1.4897E-14 -5.2584E-13
 -3.9698E-14  4.4829E-14  1.3006E-14 -1.4897E-14  3.2344E-13  2.2109E-13
 -1.2329E-12  1.4418E-12  4.9053E-13 -5.2584E-13  2.2109E-13  8.2001E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   -0.669571   -3.766402   -0.395141   -0.010592   -0.915762  2456578.585128
# Heliocentric elements and errors
Epoch:              2456578.5000  =  2013/10/13
Mean Anomaly:          351.57240 +/-     0.004
Argument of Peri:      225.67809 +/-     0.011
Long of Asc Node:      174.98052 +/-     0.000
Inclination:            19.29763 +/-     0.000
Eccentricity:         0.62713476 +/-    0.0001
Semi-Major Axis:     89.08329394 +/-    0.0242
Time of Perihelion: 2463767.9288 +/-     122.5
Perihelion:          33.21606378 +/-    0.0128
Aphelion:           144.95052410 +/-    0.0405
Period (y)              840.8192 +/-      0.34
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           37.12803394 +/-    0.0007
Ecliptic Y           -2.04510232 +/-    0.0001
Ecliptic Z           -0.42411209 +/-    0.0000
Ecliptic XDOT        -0.00084848 +/-    0.0000
Ecliptic YDOT         0.00326152 +/-    0.0000
Ecliptic ZDOT        -0.00111164 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   37.18694603 +/-    0.0007
Geocenter to KBO     36.26975422 +/-    0.0007
# Hcoef:  7.66

The following table shows the complete astrometric record for 13TN228. 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 (13TN228) followed by the observatory code and reference code for the source of the astrometry.

2013 10  13.08435  23 47 14.313  -02 06 42.45  23.1i 13TN228   W84  C~52Rf      
2013 11  23.08533  23 45 15.543  -02 23 39.44  23.5r 13TN228   W84  C~52Rf      
2014 10  23.19731  23 54 27.230  -02 03 39.11  23.0r 13TN228   W84  C~52Rf      
2016 08  26.20647  00 14 59.833  -01 10 56.32  23.1r 13TN228   W84  C~52Rf      
2016 09  10.33646  00 13 55.350  -01 20 12.54  22.9i 13TN228   W84  C~52Rf      
2016 09  11.16332  00 13 51.603  -01 20 44.21  22.1z 13TN228   W84  C~52Rf      
2016 09  22.10250  00 13 00.225  -01 27 45.27  23.1r 13TN228   W84  C~52Rf      
2016 09  22.10388  00 13 00.228  -01 27 45.35  24.1g 13TN228   W84  C~52Rf      
2016 11  26.11554  00 08 56.920  -01 59 20.18  23.2r 13TN228   W84  C~52Rf      
2016 11  26.11692  00 08 56.913  -01 59 20.08  22.8i 13TN228   W84  C~52Rf      
2016 11  26.11829  00 08 56.913  -01 59 19.94  24.4g 13TN228   W84  C~52Rf      
2016 12  04.09564  00 08 47.728  -02 00 39.32  23.0z 13TN228   W84  C~52Rf      
2017 09  18.23051  00 21 42.337  -01 15 39.92  22.7i 13TN228   W84  C~52Rf      
2017 09  18.23188  00 21 42.327  -01 15 40.17  22.8r 13TN228   W84  C~52Rf      
2017 09  18.23326  00 21 42.326  -01 15 40.10  24.3g 13TN228   W84  C~52Rf      
2017 10  27.16165  00 18 41.726  -01 39 11.58  22.8z 13TN228   W84  C~52Rf      
2017 11  09.06291  00 17 54.373  -01 45 03.16  23.3r 13TN228   W84  C~52Rf      
2018 10  18.13578  00 27 51.631  -01 24 38.82  22.7z 13TN228   W84  C~52Rf      
2018 10  18.18232  00 27 51.420  -01 24 40.58  22.7i 13TN228   W84  C~52Rf      
2018 11  08.17396  00 26 25.014  -01 35 13.00  23.4r 13TN228   W84  C~52Rf      
2018 11  26.07958  00 25 34.878  -01 41 02.45  24.1g 13TN228   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    -0.05       0.00     0.00
     2   0.1123      0.00    -0.01       0.00    -0.02
     3   1.0270      0.00     0.12       0.00    -0.06
     4   2.8696      0.00    -0.03       0.00    -0.02
     5   2.9110      0.00    -0.08       0.00     0.06
     6   2.9133      0.00     0.12       0.00    -0.08
     7   2.9432      0.00    -0.06       0.00     0.00
     8   2.9432      0.00     0.08       0.00    -0.03
     9   3.1212      0.00     0.05       0.00    -0.04
    10   3.1212      0.00    -0.02       0.00     0.08
    11   3.1212      0.00     0.01       0.00     0.24
    12   3.1431      0.00    -0.09       0.00     0.06
    13   3.9320      0.00    -0.00       0.00     0.09
    14   3.9320      0.00    -0.05       0.00    -0.10
    15   3.9320      0.00     0.03       0.00     0.02
    16   4.0385      0.00     0.03       0.00    -0.07
    17   4.0739      0.00     0.03       0.00    -0.04
    18   5.0131      0.00     0.02       0.00     0.10
    19   5.0133      0.00     0.13       0.00    -0.05
    20   5.0707      0.00    -0.00       0.00     0.00
    21   5.1198      0.00    -0.11       0.00    -0.10

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.

13TN228    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        90.252    90.250    90.253
ecceobj         0.631     0.631     0.631
incobj         19.245    19.245    19.245
qmin           31.490    31.392    31.466
qmax          168.762   159.171   148.938
amean          92.756    90.597    86.246
amin           85.997    86.124    81.317
amax          100.767    96.327    91.072
emean           0.642     0.635     0.617
emin            0.607     0.615     0.585
emax            0.675     0.653     0.641
imean          18.415    18.191    18.254
imin           16.598    16.360    16.537
imax           20.310    19.682    20.215
excite_mean     0.716     0.708     0.693
fracstop        1.000     1.000     1.000
cjmean          2.875     2.877     2.876

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       175.0     180.5     194.0
kozaiamp        180.0     180.0     180.0