Orbit Fit and Astrometric record for 13TH228

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: 13TH228   
# Created Fri Dec  3 02:12:08 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     16 observations of     16
# Arc:   5.12y
# First observation: 2013/10/04
#  Last observation: 2018/11/16
# Chi-squared of fit:     4.98 DOF:     26 RMS:  0.10
# Min/Max residuals:    -0.19    0.19
# Exact a, adot, b, bdot, g, gdot:
  1.760609E-05  3.056414E-02 -6.976455E-07 -7.081640E-05  2.726930E-02 -3.856325E-03
# Covariance matrix:
  5.3464E-13 -2.3221E-13 -8.5436E-15 -3.5557E-16  1.6048E-13 -1.0382E-12
 -2.3221E-13  3.2319E-13 -3.6419E-15  8.3919E-16  1.4999E-13  2.2297E-12
 -8.5436E-15 -3.6419E-15  3.2574E-13 -1.0360E-13 -1.7660E-14 -2.8980E-14
 -3.5557E-16  8.3919E-16 -1.0360E-13  4.5813E-14  5.0524E-16  6.7448E-15
  1.6048E-13  1.4999E-13 -1.7660E-14  5.0524E-16  4.3384E-13  1.1991E-12
 -1.0382E-12  2.2297E-12 -2.8980E-14  6.7448E-15  1.1991E-12  1.7923E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
  -12.234574   28.045975    0.295116   -0.202432   -0.934103  2456569.790198
# Heliocentric elements and errors
Epoch:              2456570.5000  =  2013/10/05
Mean Anomaly:          336.40910 +/-     0.017
Argument of Peri:      308.73563 +/-     0.032
Long of Asc Node:      118.60138 +/-     0.002
Inclination:            11.92727 +/-     0.000
Eccentricity:         0.25436759 +/-    0.0001
Semi-Major Axis:     48.07610138 +/-    0.0066
Time of Perihelion: 2464549.2414 +/-      24.2
Perihelion:          35.84709914 +/-    0.0077
Aphelion:            60.30510363 +/-    0.0102
Period (y)              333.3512 +/-      0.07
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           32.61147528 +/-    0.0008
Ecliptic Y           17.04243402 +/-    0.0004
Ecliptic Z           -7.77123665 +/-    0.0002
Ecliptic XDOT        -0.00178427 +/-    0.0000
Ecliptic YDOT         0.00252832 +/-    0.0000
Ecliptic ZDOT         0.00007524 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   37.60786641 +/-    0.0007
Geocenter to KBO     36.67138654 +/-    0.0009
# Hcoef:  7.83

The following table shows the complete astrometric record for 13TH228. 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 (13TH228) followed by the observatory code and reference code for the source of the astrometry.

2013 10  04.28942  02 01 34.079  -00 40 02.77  24.4g 13TH228   W84  C~52Rf      
2013 11  23.19984  01 57 34.393  -00 59 52.16  23.1i 13TH228   W84  C~52Rf      
2013 11  23.20121  01 57 34.373  -00 59 51.99  22.8z 13TH228   W84  C~52Rf      
2014 10  29.27403  02 06 08.473  -00 15 15.68  24.3g 13TH228   W84  C~52Rf      
2015 01  16.05758  02 02 05.727  -00 18 30.45  22.9z 13TH228   W84  C~52Rf      
2015 12  04.06966  02 10 00.948  +00 11 52.99  23.4i 13TH228   W84  C~52Rf      
2015 12  05.07384  02 09 57.113  +00 11 47.08  23.5i 13TH228   W84  C~52Rf      
2015 12  05.07522  02 09 57.103  +00 11 47.13  23.9r 13TH228   W84  C~52Rf      
2015 12  17.13079  02 09 16.882  +00 11 26.22  23.1i 13TH228   W84  C~52Rf      
2016 09  09.40296  02 22 59.537  +01 23 43.21  23.8i 13TH228   W84  C~52Rf      
2016 09  10.35756  02 22 56.842  +01 23 14.81  23.6r 13TH228   W84  C~52Rf      
2016 10  27.17613  02 19 36.007  +00 59 43.05  23.6r 13TH228   W84  C~52Rf      
2016 10  27.17750  02 19 35.999  +00 59 42.68  23.1i 13TH228   W84  C~52Rf      
2016 12  23.05251  02 15 34.769  +00 48 42.32  23.6r 13TH228   W84  C~52Rf      
2017 12  07.03947  02 23 06.142  +01 25 46.75  23.3i 13TH228   W84  C~52Rf      
2018 11  16.12781  02 31 27.211  +02 07 34.91  23.0i 13TH228   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    -0.02       0.00     0.14
     2   0.1366      0.00     0.12       0.00    -0.09
     3   0.1367      0.00    -0.10       0.00     0.10
     4   1.0677      0.00    -0.01       0.00    -0.17
     5   1.2834      0.00    -0.01       0.00     0.13
     6   2.1650      0.00     0.03       0.00    -0.19
     7   2.1678      0.00     0.00       0.00    -0.02
     8   2.1678      0.00    -0.07       0.00     0.04
     9   2.2008      0.00    -0.00       0.00    -0.05
    10   2.9325      0.00     0.01       0.00    -0.09
    11   2.9352      0.00     0.10       0.00     0.03
    12   3.0633      0.00    -0.03       0.00     0.19
    13   3.0633      0.00    -0.05       0.00    -0.15
    14   3.2191      0.00     0.18       0.00     0.06
    15   4.1745      0.00    -0.08       0.00     0.17
    16   5.1166      0.00     0.00       0.00    -0.05

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.

13TH228    quality flag:3

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

axisobj        48.367    48.367    48.367
ecceobj         0.257     0.257     0.257
incobj         11.927    11.927    11.927
qmin           34.614    34.651    34.841
qmax           61.760    61.827    61.628
amean          47.796    47.796    47.796
amin           47.206    47.207    47.195
amax           48.514    48.540    48.515
emean           0.240     0.237     0.240
emin            0.188     0.177     0.196
emax            0.275     0.276     0.271
imean          10.607    10.810    10.713
imin            8.930     8.992     9.307
imax           12.935    13.448    12.567
excite_mean     0.304     0.304     0.304
fracstop        1.000     1.000     1.000
cjmean          3.033     3.033     3.033

libcent 0       103.2     104.3      99.4
libamp  0        68.0      70.5      64.2
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     172.3     151.8
kozaiamp        180.0     180.0     180.0