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: 13TK228
# Created Tue Apr 23 01:15:16 2024
# Orbit generated from Bernstein formalism
# Fitting 13 observations of 13
# Arc: 4.03y
# First observation: 2013/10/12
# Last observation: 2017/10/22
Preliminary a, adot, b, bdot, g, gdot:
0.000086 0.021351 0.000001 0.000691 0.023504 0.000000
# Chi-squared of fit: 5.80 DOF: 20 RMS: 0.12
# Min/Max residuals: -0.24 0.22
# Exact a, adot, b, bdot, g, gdot:
1.555346E-05 2.189839E-02 1.212725E-06 7.070209E-04 2.326253E-02 6.777843E-03
# Covariance matrix:
3.1290E-13 -9.6091E-14 8.7940E-17 -2.1388E-16 1.7685E-13 -7.6114E-14
-9.6091E-14 1.0577E-12 -2.9785E-15 3.3423E-14 8.5678E-13 1.2650E-11
8.7940E-17 -2.9785E-15 2.9151E-13 -7.9738E-14 -2.1376E-15 -3.6645E-14
-2.1388E-16 3.3423E-14 -7.9738E-14 3.7306E-14 3.0962E-14 4.1588E-13
1.7685E-13 8.5678E-13 -2.1376E-15 3.0962E-14 2.4390E-12 1.1762E-11
-7.6114E-14 1.2650E-11 -3.6645E-14 4.1588E-13 1.1762E-11 1.5743E-10
# lat0 lon0 xBary yBary zBary JD0
0.192362 -0.561324 -0.327767 0.003277 -0.942373 2456577.619838
# Heliocentric elements and errors
Epoch: 2456570.5000 = 2013/10/05
Mean Anomaly: 58.03187 +/- 0.049
Argument of Peri: 272.34966 +/- 0.031
Long of Asc Node: 354.08677 +/- 0.002
Inclination: 1.86758 +/- 0.001
Eccentricity: 0.31009258 +/- 0.0005
Semi-Major Axis: 47.70083505 +/- 0.0184
Time of Perihelion: 2437172.7468 +/- 12.0
Perihelion: 32.90916013 +/- 0.0288
Aphelion: 62.49250996 +/- 0.0354
Period (y) 329.4558 +/- 0.19
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 43.93033981 +/- 0.0029
Ecliptic Y -0.09952100 +/- 0.0000
Ecliptic Z 0.14434467 +/- 0.0000
Ecliptic XDOT 0.00081647 +/- 0.0000
Ecliptic YDOT 0.00256793 +/- 0.0000
Ecliptic ZDOT 0.00008603 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 43.93068968 +/- 0.0029
Geocenter to KBO 42.98758345 +/- 0.0029
# Hcoef: 7.27
The following table shows the complete astrometric record for 13TK228. 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 (13TK228) followed by the observatory code and reference code for the source of the astrometry.
2013 10 12.11906 23 57 38.035 -00 02 48.44 23.4i 13TK228 W84 C~52Rf 2013 10 12.12044 23 57 38.027 -00 02 48.24 22.8z 13TK228 W84 C~52Rf 2013 10 13.07413 23 57 34.239 -00 03 12.54 23.4z 13TK228 W84 C~52Rf 2013 10 13.08744 23 57 34.193 -00 03 13.09 23.3i 13TK228 W84 C~52Rf 2013 11 23.08855 23 55 33.637 -00 16 07.02 23.7r 13TK228 W84 C~52Rf 2016 09 22.12035 00 12 19.976 +01 40 22.50 23.7r 13TK228 W84 C~52Rf 2016 10 02.17199 00 11 37.527 +01 35 51.00 22.8i 13TK228 W84 C~52Rf 2016 12 05.08620 00 08 29.648 +01 15 39.28 24.0r 13TK228 W84 C~52Rf 2017 09 27.17317 00 16 18.967 +02 08 44.36 23.8r 13TK228 W84 C~52Rf 2017 09 27.18691 00 16 18.914 +02 08 43.74 24.0r 13TK228 W84 C~52Rf 2017 09 27.18828 00 16 18.906 +02 08 44.12 23.8i 13TK228 W84 C~52Rf 2017 09 27.19103 00 16 18.888 +02 08 44.08 23.4i 13TK228 W84 C~52Rf 2017 10 22.18020 00 14 37.557 +01 57 54.24 24.2r 13TK228 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 -0.14 0.00 -0.15
2 0.0000 -0.03 -0.08 0.23 0.08
3 0.0026 -61.83 0.04 0.54 0.11
4 0.0027 -62.68 0.06 0.31 -0.13
5 0.1149 -2029.71 0.10 9.49 0.11
6 2.9459 14622.72 -0.02 423.88 -0.02
7 2.9735 13927.45 0.18 427.30 -0.12
8 3.1484 10849.50 -0.15 433.97 0.06
9 3.9591 18612.60 -0.07 565.77 0.02
10 3.9591 18611.62 -0.09 565.51 -0.24
11 3.9591 18611.66 0.04 565.91 0.15
12 3.9591 18611.40 -0.03 565.98 0.22
13 4.0275 16946.96 0.13 571.52 -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.
13TK228 quality flag:3 Type: 2:1E 2:1E 2:1E axisobj 48.012 48.066 47.958 ecceobj 0.312 0.313 0.311 incobj 1.861 1.861 1.861 qmin 32.021 31.981 32.072 qmax 64.484 64.494 64.487 amean 47.797 47.797 47.797 amin 47.221 47.207 47.211 amax 48.492 48.510 48.498 emean 0.316 0.316 0.315 emin 0.302 0.301 0.302 emax 0.331 0.331 0.330 imean 2.463 2.471 2.469 imin 1.924 1.759 1.924 imax 2.996 3.167 2.993 excite_mean 0.319 0.319 0.318 fracstop 1.000 1.000 1.000 cjmean 3.018 3.018 3.019 libcent 0 74.7 76.3 74.7 libamp 0 30.3 34.7 30.0 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 176.7 214.9 170.5 kozaiamp 154.4 107.3 160.3