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: 13TB228 # Created Sun Dec 22 02:09:45 2024 # Orbit generated from Bernstein formalism # Fitting 27 observations of 27 # Arc: 4.94y # First observation: 2013/10/04 # Last observation: 2018/09/11 Preliminary a, adot, b, bdot, g, gdot: 0.000381 0.043715 0.000111 0.011709 0.033727 0.000000 # Chi-squared of fit: 14.89 DOF: 48 RMS: 0.13 # Min/Max residuals: -0.27 0.33 # Exact a, adot, b, bdot, g, gdot: 1.982836E-05 4.460225E-02 6.389142E-06 1.198409E-02 3.391148E-02 6.068700E-03 # Covariance matrix: 2.4407E-13 -1.0848E-13 5.4795E-15 -1.3629E-14 1.2679E-13 -2.5788E-13 -1.0848E-13 1.9599E-13 -2.6622E-14 4.9114E-14 1.0849E-13 9.5923E-13 5.4795E-15 -2.6622E-14 1.6533E-13 -5.7135E-14 -2.6152E-14 -1.5177E-13 -1.3629E-14 4.9114E-14 -5.7135E-14 3.7241E-14 3.9065E-14 2.7606E-13 1.2679E-13 1.0849E-13 -2.6152E-14 3.9065E-14 4.9544E-13 7.8465E-13 -2.5788E-13 9.5923E-13 -1.5177E-13 2.7606E-13 7.8465E-13 5.4009E-12 # lat0 lon0 xBary yBary zBary JD0 -14.897501 22.776773 0.207260 -0.251490 -0.945766 2456569.722038 # Heliocentric elements and errors Epoch: 2456560.5000 = 2013/09/25 Mean Anomaly: 7.32395 +/- 0.003 Argument of Peri: 292.32762 +/- 0.009 Long of Asc Node: 65.60686 +/- 0.000 Inclination: 20.58166 +/- 0.000 Eccentricity: 0.46796033 +/- 0.0001 Semi-Major Axis: 55.81213975 +/- 0.0094 Time of Perihelion: 2453462.1244 +/- 1.1 Perihelion: 29.69427222 +/- 0.0067 Aphelion: 81.93000727 +/- 0.0145 Period (y) 416.9665 +/- 0.11 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 27.25706753 +/- 0.0005 Ecliptic Y 11.22328672 +/- 0.0002 Ecliptic Z -7.58107633 +/- 0.0002 Ecliptic XDOT -0.00073434 +/- 0.0000 Ecliptic YDOT 0.00359841 +/- 0.0000 Ecliptic ZDOT 0.00080919 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 30.43653419 +/- 0.0005 Geocenter to KBO 29.48854120 +/- 0.0006 # Hcoef: 8.71
The following table shows the complete astrometric record for 13TB228. 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 (13TB228) followed by the observatory code and reference code for the source of the astrometry.
2013 10 04.22126 01 46 15.700 -04 59 39.37 24.3g 13TB228 W84 C~52Re 2013 10 04.23940 01 46 15.576 -04 59 39.85 23.6r 13TB228 W84 C~52Re 2013 10 04.24078 01 46 15.563 -04 59 40.05 23.0i 13TB228 W84 C~52Re 2013 11 08.14417 01 42 45.073 -05 14 00.98 23.7g 13TB228 W84 C~52Re 2013 11 08.14556 01 42 45.084 -05 14 01.09 23.7r 13TB228 W84 C~52Re 2013 11 08.14700 01 42 45.080 -05 14 01.20 23.0i 13TB228 W84 C~52Re 2014 10 23.28910 01 52 50.330 -03 34 36.53 23.6r 13TB228 W84 C~52Re 2014 10 23.29047 01 52 50.305 -03 34 36.48 23.3i 13TB228 W84 C~52Re 2014 10 29.26979 01 52 13.652 -03 36 57.02 23.5i 13TB228 W84 C~52Re 2014 10 29.27114 01 52 13.643 -03 36 56.99 23.2r 13TB228 W84 C~52Re 2014 11 28.17343 01 49 27.956 -03 42 24.30 23.5i 13TB228 W84 C~52Re 2014 11 28.17482 01 49 27.955 -03 42 24.49 23.2r 13TB228 W84 C~52Re 2016 09 10.29669 02 13 02.489 -00 07 41.39 23.8r 13TB228 W84 C~52Re 2016 09 27.48621 02 11 46.55 -00 16 43.8 24.2g 13TB228 568 C~2eAI 2016 09 27.60677 02 11 45.93 -00 16 47.6 24.2g 13TB228 568 C~2eAI 2016 09 28.49552 02 11 41.39 -00 17 15.8 24.2g 13TB228 568 C~2eAI 2016 09 28.54358 02 11 41.13 -00 17 17.3 24.3g 13TB228 568 C~2eAI 2016 09 28.62851 02 11 40.69 -00 17 20.0 24.2g 13TB228 568 C~2eAI 2016 09 29.50747 02 11 36.14 -00 17 47.9 24.4g 13TB228 568 C~2eAI 2016 10 27.16787 02 08 55.471 -00 30 56.34 23.1r 13TB228 W84 C~52Re 2016 10 27.16927 02 08 55.450 -00 30 56.48 22.9i 13TB228 W84 C~52Re 2016 11 07.17116 02 07 48.653 -00 34 45.32 23.0z 13TB228 W84 C~52Re 2016 12 23.05112 02 04 17.521 -00 35 33.88 23.4i 13TB228 W84 C~52Re 2017 10 13.24804 02 18 24.589 +01 06 04.36 24.3r 13TB228 W84 C~52Re 2017 11 16.18502 02 15 01.305 +00 53 39.23 23.5r 13TB228 W84 C~52Re 2018 09 11.33153 02 28 50.973 +02 50 18.07 23.2i 13TB228 W84 C~52Rf 2018 09 11.33817 02 28 50.950 +02 50 17.80 23.7r 13TB228 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 0.20 0.00 -0.17
2 0.0000 -1.90 0.01 0.24 0.04
3 0.0001 -2.15 -0.11 0.12 -0.07
4 0.0956 -3243.52 -0.24 355.26 0.24
5 0.0956 -3243.41 -0.01 355.10 0.05
6 0.0956 -3243.51 0.02 355.02 -0.06
7 1.0515 7373.23 0.20 2564.19 -0.06
8 1.0515 7372.90 -0.00 2564.37 0.11
9 1.0679 6810.44 -0.03 2636.80 -0.14
10 1.0679 6810.32 -0.02 2636.88 -0.08
11 1.1498 4382.77 0.11 3249.22 -0.06
12 1.1498 4382.68 0.12 3249.05 -0.27
13 2.9352 29056.64 -0.03 7377.83 -0.02
14 2.9822 27772.57 -0.11 7295.46 0.05
15 2.9826 27762.33 -0.01 7295.38 0.04
16 2.9850 27687.25 -0.03 7294.43 0.06
17 2.9851 27683.00 -0.12 7294.48 0.12
18 2.9854 27675.73 -0.04 7294.42 0.08
19 2.9878 27600.63 -0.12 7293.80 0.03
20 3.0635 25028.01 0.16 7456.26 0.33
21 3.0635 25027.66 -0.06 7456.24 0.30
22 3.0936 23997.95 -0.02 7616.21 -0.05
23 3.2192 21005.31 -0.22 8751.51 0.02
24 4.0247 35352.38 0.26 9735.22 -0.12
25 4.1176 32160.33 0.02 10173.88 0.05
26 4.9366 46863.86 0.04 12157.16 -0.17
27 4.9367 46863.42 0.00 12157.03 -0.26
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.
13TB228 quality flag:3 Type: 5:2EEE 5:2EEE 5:2EEE axisobj 56.357 56.386 56.327 ecceobj 0.474 0.474 0.473 incobj 20.589 20.589 20.589 qmin 28.829 28.852 28.842 qmax 83.817 83.788 83.746 amean 55.462 55.462 55.462 amin 54.552 54.555 54.590 amax 56.638 56.574 56.548 emean 0.468 0.467 0.467 emin 0.453 0.453 0.453 emax 0.482 0.481 0.481 imean 19.089 19.118 19.143 imin 18.539 18.506 18.575 imax 19.737 19.724 19.653 excite_mean 0.571 0.571 0.571 fracstop 1.000 1.000 1.000 cjmean 2.810 2.810 2.810 libcent 0 180.3 178.5 176.6 libamp 0 134.1 142.4 133.3 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 190.4 180.7 201.4 kozaiamp 180.0 180.0 180.0