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: 13TJ228
# Created Sun Apr 27 01:09:49 2025
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 18 observations of 18
# Arc: 11.06y
# First observation: 2013/10/11
# Last observation: 2024/11/01
# Chi-squared of fit: 10.73 DOF: 30 RMS: 0.14
# Min/Max residuals: -0.42 0.36
# Exact a, adot, b, bdot, g, gdot:
1.599649E-05 2.612678E-02 9.668815E-07 6.671357E-04 2.524209E-02 1.902246E-03
# Covariance matrix:
3.7819E-13 -1.5561E-13 5.5533E-15 -3.3119E-15 7.6853E-14 -4.4204E-13
-1.5561E-13 1.0944E-13 -4.6610E-15 2.7021E-15 -1.1978E-13 3.6252E-13
5.5533E-15 -4.6610E-15 2.0553E-13 -2.8917E-14 6.3108E-15 -1.6518E-14
-3.3119E-15 2.7021E-15 -2.8917E-14 6.7908E-15 -3.2559E-15 9.5446E-15
7.6853E-14 -1.1978E-13 6.3108E-15 -3.2559E-15 4.4899E-13 -4.4675E-13
-4.4204E-13 3.6252E-13 -1.6518E-14 9.5446E-15 -4.4675E-13 1.2813E-12
# lat0 lon0 xBary yBary zBary JD0
1.278380 -6.269054 -0.404157 0.020471 -0.912364 2456576.610238
# Heliocentric elements and errors
Epoch: 2456576.5000 = 2013/10/11
Mean Anomaly: 32.88449 +/- 0.017
Argument of Peri: 358.23085 +/- 0.020
Long of Asc Node: 313.75400 +/- 0.004
Inclination: 1.92156 +/- 0.000
Eccentricity: 0.13167659 +/- 0.0001
Semi-Major Axis: 45.25973008 +/- 0.0067
Time of Perihelion: 2446417.4061 +/- 5.6
Perihelion: 39.30008316 +/- 0.0076
Aphelion: 51.21937700 +/- 0.0090
Period (y) 304.4922 +/- 0.07
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 40.32052428 +/- 0.0010
Ecliptic Y -4.01978264 +/- 0.0001
Ecliptic Z 0.88385362 +/- 0.0000
Ecliptic XDOT 0.00050671 +/- 0.0000
Ecliptic YDOT 0.00279309 +/- 0.0000
Ecliptic ZDOT 0.00007708 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 40.52999260 +/- 0.0010
Geocenter to KBO 39.61637116 +/- 0.0011
# Hcoef: 7.98
The following table shows the complete astrometric record for 13TJ228. 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 (13TJ228) followed by the observatory code and reference code for the source of the astrometry.
2013 10 11.10946 23 34 57.260 -01 18 55.50 23.1z 13TJ228 W84 C~52Rf 2013 10 13.08293 23 34 49.307 -01 19 47.72 23.2i 13TJ228 W84 C~52Rf 2013 10 28.03101 23 33 55.554 -01 25 47.12 23.9r 13TJ228 W84 C~52Rf 2013 11 23.08392 23 32 58.559 -01 32 29.73 24.0r 13TJ228 W84 C~52Rf 2015 11 06.06654 23 44 15.983 -00 14 09.03 24.3r 13TJ228 W84 C~52Rf 2017 07 30.50809 00 01 16.24 +01 40 06.7 24.8r 13TJ228 T09 C~8nZR 2017 07 30.53502 00 01 16.19 +01 40 06.4 24.4r 13TJ228 T09 C~8nZR 2017 07 30.60990 00 01 15.99 +01 40 05.2 24.4r 13TJ228 T09 C~8nZR 2017 09 17.29024 23 58 15.51 +01 21 43.2 23.8i 13TJ228 T09 C~8CN7 2017 09 17.31571 23 58 15.40 +01 21 42.6 23.7i 13TJ228 T09 C~8CN7 2017 09 17.35851 23 58 15.20 +01 21 41.2 23.9i 13TJ228 T09 C~8CN7 2017 09 17.39893 23 58 15.02 +01 21 40.0 23.7i 13TJ228 T09 C~8CN7 2017 11 15.03514 23 54 30.468 +00 56 45.11 23.7r 13TJ228 W84 C~52Rf 2018 09 17.28548 00 03 36.601 +01 58 40.85 23.7i 13TJ228 W84 C~52Rf 2018 09 17.28686 00 03 36.585 +01 58 40.93 24.2r 13TJ228 W84 C~52Rf 2024 11 01.119900 00 31 59.672 +05 13 36.12 24.1G 13TJ228 G37 C~8SPb 2024 11 01.166270 00 31 59.508 +05 13 34.54 13TJ228 G37 C~8SPb 2024 11 01.212280 00 31 59.324 +05 13 34.16 13TJ228 G37 C~8SPb
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 0.11 0.00 -0.07
2 0.0054 0.00 -0.11 0.00 0.04
3 0.0463 0.00 0.11 0.00 -0.07
4 0.1177 0.00 -0.05 0.00 -0.03
5 2.0697 0.00 0.13 0.00 -0.10
6 3.8012 0.00 -0.11 0.00 0.09
7 3.8013 0.00 0.12 0.00 0.14
8 3.8015 0.00 -0.13 0.00 -0.07
9 3.9348 0.00 -0.11 0.00 0.10
10 3.9349 0.00 -0.01 0.00 0.24
11 3.9350 0.00 -0.06 0.00 0.07
12 3.9351 0.00 0.03 0.00 0.04
13 4.0956 0.00 -0.07 0.00 -0.05
14 4.9341 0.00 0.18 0.00 -0.17
15 4.9341 0.00 0.04 0.00 -0.05
16 11.0582 0.00 -0.10 0.00 -0.01
17 11.0583 0.00 0.11 0.00 -0.42
18 11.0585 0.00 0.00 0.00 0.36
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.
13TJ228 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 45.541 45.542 45.541 ecceobj 0.137 0.137 0.137 incobj 1.918 1.918 1.918 qmin 38.604 38.613 38.612 qmax 52.394 52.410 52.392 amean 45.340 45.339 45.340 amin 44.957 44.963 44.966 amax 45.758 45.761 45.767 emean 0.131 0.131 0.131 emin 0.117 0.117 0.117 emax 0.145 0.145 0.146 imean 3.508 3.508 3.508 imin 2.844 2.844 2.845 imax 4.105 4.104 4.102 excite_mean 0.145 0.145 0.145 fracstop 1.000 1.000 1.000 cjmean 3.092 3.092 3.092 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 181.6 181.6 181.5 kozaiamp 180.0 179.9 180.0