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: 13TK187 # Created Wed Dec 25 02:09:38 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 24 observations of 24 # Arc: 7.12y # First observation: 2013/10/03 # Last observation: 2020/11/14 # Chi-squared of fit: 10.42 DOF: 42 RMS: 0.12 # Min/Max residuals: -0.30 0.39 # Exact a, adot, b, bdot, g, gdot: 1.530466E-05 2.484375E-02 7.951908E-07 2.155390E-03 2.482083E-02 5.113511E-04 # Covariance matrix: 2.9908E-13 -1.4900E-13 8.7255E-15 -9.7441E-15 6.7969E-14 -6.8801E-13 -1.4900E-13 1.2268E-13 -9.5363E-15 1.0041E-14 -1.4404E-14 7.1309E-13 8.7255E-15 -9.5363E-15 1.8646E-13 -4.6843E-14 -1.0874E-15 -6.4682E-14 -9.7441E-15 1.0041E-14 -4.6843E-14 1.7958E-14 -1.1646E-15 6.7789E-14 6.7969E-14 -1.4404E-14 -1.0874E-15 -1.1646E-15 2.2580E-13 -6.6238E-14 -6.8801E-13 7.1309E-13 -6.4682E-14 6.7789E-14 -6.6238E-14 4.8163E-12 # lat0 lon0 xBary yBary zBary JD0 -4.529713 15.316051 0.097330 -0.078556 -0.992842 2456568.622068 # Heliocentric elements and errors Epoch: 2456568.5000 = 2013/10/03 Mean Anomaly: 15.06454 +/- 0.070 Argument of Peri: 301.13941 +/- 0.080 Long of Asc Node: 56.92022 +/- 0.002 Inclination: 6.62399 +/- 0.000 Eccentricity: 0.05837221 +/- 0.0001 Semi-Major Axis: 43.73624707 +/- 0.0040 Time of Perihelion: 2452147.5657 +/- 20.7 Perihelion: 41.18326552 +/- 0.0052 Aphelion: 46.28922862 +/- 0.0056 Period (y) 289.2481 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 39.72214631 +/- 0.0007 Ecliptic Y 10.78099737 +/- 0.0002 Ecliptic Z -3.18183504 +/- 0.0001 Ecliptic XDOT -0.00065768 +/- 0.0000 Ecliptic YDOT 0.00266151 +/- 0.0000 Ecliptic ZDOT 0.00023269 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.28198200 +/- 0.0007 Geocenter to KBO 40.28876634 +/- 0.0008 # Hcoef: 6.83
The following table shows the complete astrometric record for 13TK187. 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 (13TK187) followed by the observatory code and reference code for the source of the astrometry.
2013 10 03.12129 01 03 24.388 +01 50 59.97 24.0g 13TK187 W84 C~4yRD 2013 10 13.20726 01 02 38.07 +01 46 25.2 22.1i 13TK187 W84 C~3clQ 2013 10 13.20863 01 02 38.06 +01 46 25.2 21.5z 13TK187 W84 C~3clQ 2013 11 22.13909 00 59 56.479 +01 32 35.35 22.7i 13TK187 W84 C~4yRD 2013 11 22.15022 00 59 56.453 +01 32 35.34 22.3z 13TK187 W84 C~4yRD 2014 10 29.22470 01 06 30.940 +02 19 23.28 22.7r 13TK187 W84 C~4yRD 2014 10 29.22605 01 06 30.943 +02 19 23.22 22.4i 13TK187 W84 C~4yRD 2015 11 20.13788 01 10 08.184 +02 51 41.55 22.4z 13TK187 W84 C~4yRD 2016 08 26.33375 01 20 58.708 +04 04 39.11 23.5r 13TK187 W84 C~4yRD 2016 08 26.33512 01 20 58.704 +04 04 39.10 23.1i 13TK187 W84 C~4yRD 2016 08 26.33648 01 20 58.700 +04 04 38.88 22.9z 13TK187 W84 C~4yRD 2016 10 29.16012 01 16 35.524 +03 37 50.86 22.9r 13TK187 W84 C~4yRD 2016 10 29.16150 01 16 35.515 +03 37 50.60 22.3i 13TK187 W84 C~4yRD 2016 11 05.16032 01 16 05.227 +03 35 13.41 23.2r 13TK187 W84 C~4yRD 2016 11 05.18100 01 16 05.131 +03 35 13.05 23.0i 13TK187 W84 C~4yRD 2016 11 05.18237 01 16 05.133 +03 35 12.89 24.1g 13TK187 W84 C~4yRD 2016 11 06.13866 01 16 01.124 +03 34 52.62 22.6z 13TK187 W84 C~4yRD 2016 11 08.17608 01 15 52.722 +03 34 10.55 22.4z 13TK187 W84 C~4yRD 2017 08 22.39609 01 26 10.748 +04 44 40.16 23.2r 13TK187 W84 C~4yRD 2017 08 22.41145 01 26 10.713 +04 44 39.76 22.8i 13TK187 W84 C~4yRD 2017 08 27.37623 01 25 58.002 +04 43 06.85 24.2g 13TK187 W84 C~4yRD 2017 08 28.36967 01 25 55.257 +04 42 46.94 22.7z 13TK187 W84 C~4yRD 2020 11 14.109010 01 35 41.543 +06 07 27.88 23.5G 13TK187 G37 C~4Nkr 2020 11 14.166280 01 35 41.270 +06 07 26.15 13TK187 G37 C~4Nkr
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 0.05 0.00 0.15
2 0.0276 0.00 0.03 0.00 0.03
3 0.0276 0.00 -0.02 0.00 0.07
4 0.1369 0.00 -0.11 0.00 -0.07
5 0.1370 0.00 0.02 0.00 0.06
6 1.0708 0.00 -0.15 0.00 0.04
7 1.0708 0.00 -0.02 0.00 0.01
8 2.1301 0.00 -0.04 0.00 -0.13
9 2.8972 0.00 0.06 0.00 0.02
10 2.8972 0.00 0.05 0.00 0.04
11 2.8972 0.00 0.05 0.00 -0.16
12 3.0720 0.00 0.09 0.00 0.06
13 3.0720 0.00 0.05 0.00 -0.17
14 3.0911 0.00 0.08 0.00 -0.02
15 3.0912 0.00 -0.03 0.00 0.06
16 3.0912 0.00 0.09 0.00 -0.07
17 3.0938 0.00 -0.01 0.00 -0.07
18 3.0994 0.00 0.16 0.00 -0.01
19 3.8858 0.00 0.00 0.00 0.04
20 3.8858 0.00 0.04 0.00 -0.08
21 3.8994 0.00 -0.17 0.00 0.14
22 3.9021 0.00 -0.04 0.00 -0.07
23 7.1156 0.00 0.23 0.00 0.39
24 7.1158 0.00 -0.30 0.00 -0.22
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.
13TK187 quality flag:3 Type: 7:4EEE 7:4EEE 7:4EEE axisobj 43.998 43.998 43.998 ecceobj 0.065 0.065 0.065 incobj 6.620 6.620 6.620 qmin 40.049 40.049 40.049 qmax 47.680 47.680 47.680 amean 43.727 43.727 43.727 amin 43.370 43.380 43.379 amax 44.097 44.092 44.102 emean 0.064 0.063 0.063 emin 0.042 0.039 0.040 emax 0.082 0.082 0.082 imean 4.876 4.897 4.897 imin 3.895 3.929 3.896 imax 6.032 6.032 6.032 excite_mean 0.107 0.107 0.107 fracstop 1.000 1.000 1.000 cjmean 3.084 3.084 3.084 libcent 0 179.7 180.0 179.4 libamp 0 174.2 174.1 174.2 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 184.9 183.5 182.8 kozaiamp 180.0 180.0 180.0