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: 06TK121 # Created Sun Dec 22 02:08:56 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 28 observations of 28 # Arc: 18.28y # First observation: 2005/08/30 # Last observation: 2023/12/11 # Chi-squared of fit: 22.38 DOF: 50 RMS: 0.16 # Min/Max residuals: -0.29 0.37 # Exact a, adot, b, bdot, g, gdot: 1.645519E-05 2.897717E-02 -5.462095E-06 -1.191839E-02 2.883049E-02 -6.625241E-03 # Covariance matrix: 2.8154E-13 -9.2725E-14 -5.1906E-14 4.1288E-14 1.1346E-13 -1.3628E-13 -9.2725E-14 6.4562E-14 3.7341E-14 -2.8494E-14 -2.1239E-15 9.3605E-14 -5.1906E-14 3.7341E-14 9.1414E-14 -2.1724E-14 -1.5941E-15 5.5079E-14 4.1288E-14 -2.8494E-14 -2.1724E-14 1.3906E-14 3.2621E-15 -4.2156E-14 1.1346E-13 -2.1239E-15 -1.5941E-15 3.2621E-15 1.3466E-13 -1.1498E-14 -1.3628E-13 9.3605E-14 5.5079E-14 -4.2156E-14 -1.1498E-14 1.3854E-13 # lat0 lon0 xBary yBary zBary JD0 -15.686343 27.873020 0.782801 -0.173708 -0.618913 2453612.962881 # Heliocentric elements and errors Epoch: 2453612.5000 = 2005/08/30 Mean Anomaly: 306.63166 +/- 0.007 Argument of Peri: 295.77901 +/- 0.010 Long of Asc Node: 174.29345 +/- 0.000 Inclination: 27.29729 +/- 0.000 Eccentricity: 0.24915334 +/- 0.0000 Semi-Major Axis: 39.21232595 +/- 0.0024 Time of Perihelion: 2466908.2707 +/- 7.2 Perihelion: 29.44244397 +/- 0.0019 Aphelion: 48.98220794 +/- 0.0031 Period (y) 245.5512 +/- 0.02 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 30.44929814 +/- 0.0004 Ecliptic Y 15.21962403 +/- 0.0002 Ecliptic Z -9.37811733 +/- 0.0001 Ecliptic XDOT -0.00209068 +/- 0.0000 Ecliptic YDOT 0.00199956 +/- 0.0000 Ecliptic ZDOT -0.00091953 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 35.30942677 +/- 0.0003 Geocenter to KBO 34.68564671 +/- 0.0004 # Hcoef: 7.65
The following table shows the complete astrometric record for 06TK121. 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 (06TK121) followed by the observatory code and reference code for the source of the astrometry.
2005 08 30.462138 02 05 47.96 -03 57 27.8 06TK121 568 C~4q7E 2005 08 30.464816 02 05 47.95 -03 57 27.8 06TK121 568 C~4q7E 2005 08 30.472788 02 05 47.93 -03 57 28.1 06TK121 568 C~4q7E 2005 08 30.483694 02 05 47.91 -03 57 28.6 06TK121 568 C~4q7E 2006 10 15.27959 02 09 59.71 -04 34 11.9 23.1R 06TK121 807 Cv6280 2006 10 15.30276 02 09 59.59 -04 34 12.8 22.7I 06TK121 807 Cv6280 2006 10 19.30420 02 09 38.49 -04 36 49.0 23.4R 06TK121 807 Cv6280 2006 10 21.29087 02 09 27.88 -04 38 04.0 23.2R 06TK121 807 Cv6280 2006 10 21.31867 02 09 27.73 -04 38 05.1 22.6I 06TK121 807 Cv6280 2006 11 12.10143 02 07 31.54 -04 49 23.1 23.0R 06TK121 807 Cv6280 2006 11 12.12180 02 07 31.43 -04 49 23.4 22.8I 06TK121 807 Cv6280 2006 11 26.25153 02 06 22.74 -04 53 51.9 22.5I 06TK121 807 Cv6280 2006 12 13.12456 02 05 16.77 -04 55 47.5 23.2R 06TK121 807 Cv6280 2006 12 17.10763 02 05 04.51 -04 55 41.4 23.5R 06TK121 807 Cv6280 2006 12 19.12017 02 04 58.88 -04 55 33.3 23.4R 06TK121 807 Cv6280 2006 12 25.15166 02 04 44.32 -04 54 49.8 22.9I 06TK121 807 Cv6280 2007 01 11.09952 02 04 23.64 -04 50 18.9 23.3R 06TK121 807 Cv6280 2007 01 11.11979 02 04 23.63 -04 50 18.6 23.0I 06TK121 807 Cv6280 2007 01 14.08214 02 04 23.24 -04 49 10.3 22.8I 06TK121 807 Cv6280 2008 08 29.530753 02 27 49.59 -04 05 48.2 06TK121 568 C~4q7E 2008 08 29.537128 02 27 49.58 -04 05 48.4 06TK121 568 C~4q7E 2008 09 29.42030 02 26 09.75 -04 29 27.6 23.2i 06TK121 568 C~59eM 2008 09 29.59718 02 26 08.94 -04 29 35.5 23.2i 06TK121 568 C~59eM 2008 09 29.62094 02 26 08.84 -04 29 36.6 23.4i 06TK121 568 C~59eM 2008 09 30.49391 02 26 04.93 -04 30 15.9 06TK121 568 C~59eM 2023 12 11.24823 04 25 54.97 -05 16 54.5 19.6G 06TK121 807 C~7bBp 2023 12 11.25991 04 25 54.89 -05 16 54.6 19.9G 06TK121 807 C~7bBp 2023 12 11.26928 04 25 54.84 -05 16 54.7 20.2G 06TK121 807 C~7bBp
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 -0.03 0.00 -0.25
2 0.0000 0.00 -0.08 0.00 -0.13
3 0.0000 0.00 -0.08 0.00 -0.09
4 0.0001 0.00 0.02 0.00 -0.12
5 1.1248 0.00 0.19 0.00 0.06
6 1.1248 0.00 0.24 0.00 0.08
7 1.1358 0.00 0.30 0.00 0.12
8 1.1412 0.00 0.10 0.00 0.06
9 1.1413 0.00 0.11 0.00 -0.00
10 1.2009 0.00 -0.06 0.00 -0.08
11 1.2010 0.00 -0.11 0.00 0.11
12 1.2397 0.00 -0.13 0.00 0.31
13 1.2859 0.00 0.16 0.00 0.33
14 1.2968 0.00 -0.08 0.00 0.13
15 1.3023 0.00 0.03 0.00 0.16
16 1.3188 0.00 -0.08 0.00 -0.00
17 1.3652 0.00 -0.11 0.00 0.15
18 1.3653 0.00 -0.15 0.00 -0.00
19 1.3734 0.00 -0.07 0.00 0.07
20 2.9981 0.00 0.33 0.00 -0.23
21 2.9982 0.00 0.37 0.00 -0.14
22 3.0827 0.00 -0.16 0.00 -0.29
23 3.0832 0.00 -0.24 0.00 -0.16
24 3.0833 0.00 -0.12 0.00 -0.18
25 3.0856 0.00 -0.22 0.00 0.08
26 18.2800 0.00 0.02 0.00 0.05
27 18.2801 0.00 -0.09 0.00 0.02
28 18.2801 0.00 0.05 0.00 -0.03
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.
06TK121 quality flag:3 Type: 3:2E 3:2E 3:2E Type: 6:4II 6:4II 6:4II axisobj 39.680 39.679 39.680 ecceobj 0.252 0.252 0.252 incobj 27.190 27.190 27.190 qmin 27.567 27.566 27.567 qmax 51.638 51.641 51.635 amean 39.453 39.453 39.453 amin 39.053 39.051 39.052 amax 39.949 39.936 39.949 emean 0.262 0.262 0.262 emin 0.215 0.215 0.215 emax 0.299 0.299 0.299 imean 26.381 26.382 26.381 imin 25.167 25.167 25.166 imax 27.425 27.424 27.425 excite_mean 0.516 0.516 0.516 fracstop 1.000 1.000 1.000 cjmean 2.743 2.743 2.743 libcent 0 180.3 180.4 180.2 libamp 0 54.1 54.1 54.1 libcent 1 181.0 180.9 181.0 libamp 1 136.3 136.6 136.2 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 269.5 269.5 269.5 kozaiamp 25.9 25.9 25.9