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: 13TK172 # Created Sun Dec 22 02:09:43 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 29 observations of 29 # Arc: 5.17y # First observation: 2013/10/04 # Last observation: 2018/12/04 # Chi-squared of fit: 12.81 DOF: 52 RMS: 0.12 # Min/Max residuals: -0.33 0.35 # Exact a, adot, b, bdot, g, gdot: 1.624286E-05 2.656345E-02 2.758195E-06 3.347904E-03 2.558033E-02 4.179685E-03 # Covariance matrix: 3.5213E-13 -2.6070E-13 2.6877E-14 -3.0235E-14 -4.4037E-14 -1.5589E-12 -2.6070E-13 2.9941E-13 -3.6980E-14 3.9358E-14 1.3803E-13 2.0435E-12 2.6877E-14 -3.6980E-14 1.7496E-13 -5.1489E-14 -2.2435E-14 -2.6862E-13 -3.0235E-14 3.9358E-14 -5.1489E-14 2.3685E-14 1.8550E-14 2.8600E-13 -4.4037E-14 1.3803E-13 -2.2435E-14 1.8550E-14 2.6768E-13 9.9898E-13 -1.5589E-12 2.0435E-12 -2.6862E-13 2.8600E-13 9.9898E-13 1.4849E-11 # lat0 lon0 xBary yBary zBary JD0 -10.681172 16.736733 0.103939 -0.184301 -0.977721 2456569.675658 # Heliocentric elements and errors Epoch: 2456570.5000 = 2013/10/05 Mean Anomaly: 38.51282 +/- 0.013 Argument of Peri: 247.60624 +/- 0.025 Long of Asc Node: 72.05879 +/- 0.001 Inclination: 12.58021 +/- 0.000 Eccentricity: 0.20331753 +/- 0.0001 Semi-Major Axis: 46.51702964 +/- 0.0049 Time of Perihelion: 2444173.4244 +/- 4.7 Perihelion: 37.05930213 +/- 0.0077 Aphelion: 55.97475715 +/- 0.0089 Period (y) 317.2679 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 37.76999332 +/- 0.0007 Ecliptic Y 11.25263934 +/- 0.0002 Ecliptic Z -7.24547709 +/- 0.0001 Ecliptic XDOT -0.00034032 +/- 0.0000 Ecliptic YDOT 0.00286699 +/- 0.0000 Ecliptic ZDOT 0.00026934 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 40.07097916 +/- 0.0007 Geocenter to KBO 39.09248008 +/- 0.0008 # Hcoef: 6.86
The following table shows the complete astrometric record for 13TK172. 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 (13TK172) followed by the observatory code and reference code for the source of the astrometry.
2013 10 04.17488 01 18 01.524 -03 17 43.58 23.6g 13TK172 W84 C~4yR9 2013 10 11.24890 01 17 28.156 -03 20 58.34 23.9g 13TK172 W84 C~4yR9 2014 08 18.34382 01 26 10.020 -02 10 11.35 22.0z 13TK172 W84 C~4yR9 2014 10 01.32825 01 23 34.725 -02 30 57.55 22.4i 13TK172 W84 C~4yR9 2014 10 28.24596 01 21 28.467 -02 42 21.60 22.8r 13TK172 W84 C~4yR9 2014 10 28.246840 01 21 28.45 -02 42 21.3 23.5g 13TK172 W84 C~35ba 2014 10 28.24736 01 21 28.456 -02 42 21.69 23.9g 13TK172 W84 C~4yR9 2014 10 29.24869 01 21 23.855 -02 42 42.29 22.3i 13TK172 W84 C~4yR9 2014 11 16.15457 01 20 07.351 -02 47 28.20 22.7r 13TK172 W84 C~4yR9 2014 11 21.04267 01 19 49.054 -02 48 16.06 22.5z 13TK172 W84 C~4yR9 2014 11 28.122222 01 19 25.16 -02 48 59.3 22.3z 13TK172 W84 C~35ba 2014 11 28.12275 01 19 25.177 -02 48 59.32 22.1z 13TK172 W84 C~4yR9 2014 12 06.10204 01 19 02.530 -02 49 10.69 22.3z 13TK172 W84 C~4yR9 2016 08 14.40582 01 36 36.312 -00 40 20.95 23.3r 13TK172 W84 C~4yR9 2016 08 15.42320 01 36 34.659 -00 40 42.81 22.5i 13TK172 W84 C~4yR9 2016 10 21.19504 01 32 27.672 -01 10 21.78 22.2z 13TK172 W84 C~4yR9 2016 10 23.181238 01 32 18.29 -01 11 08.3 23.0r 13TK172 W84 C~35ba 2016 10 23.18176 01 32 18.320 -01 11 08.63 22.8r 13TK172 W84 C~4yR9 2016 10 28.25076 01 31 54.601 -01 13 01.11 24.0g 13TK172 W84 C~4yR9 2016 10 29.20921 01 31 50.167 -01 13 21.26 22.8r 13TK172 W84 C~4yR9 2016 10 29.21058 01 31 50.163 -01 13 21.23 22.4i 13TK172 W84 C~4yR9 2016 11 04.23429 01 31 22.752 -01 15 19.53 22.1z 13TK172 W84 C~4yR9 2018 09 09.26271 01 45 44.290 +00 36 46.35 22.3i 13TK172 W84 C~4yR9 2018 09 09.26408 01 45 44.289 +00 36 46.27 22.6r 13TK172 W84 C~4yR9 2018 09 09.26545 01 45 44.280 +00 36 46.28 23.6g 13TK172 W84 C~4yR9 2018 11 15.08560 01 40 54.322 +00 09 54.51 22.3i 13TK172 W84 C~4yR9 2018 12 04.33616 01 39 43.83 +00 06 57.3 24.4r 13TK172 T09 C~7xNr 2018 12 04.38177 01 39 43.69 +00 06 56.9 23.7r 13TK172 T09 C~7xNr 2018 12 04.39142 01 39 43.67 +00 06 56.8 23.9r 13TK172 T09 C~7xNr
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 0.09 0.00 -0.12
2 0.0194 0.00 0.00 0.00 -0.14
3 0.8711 0.00 -0.12 0.00 -0.22
4 0.9915 0.00 0.17 0.00 0.05
5 1.0652 0.00 0.11 0.00 0.03
6 1.0652 0.00 -0.08 0.00 0.35
7 1.0652 0.00 0.05 0.00 -0.03
8 1.0680 0.00 0.03 0.00 -0.03
9 1.1170 0.00 0.07 0.00 -0.01
10 1.1304 0.00 -0.05 0.00 -0.11
11 1.1498 0.00 -0.27 0.00 0.19
12 1.1498 0.00 0.01 0.00 0.17
13 1.1716 0.00 -0.03 0.00 0.08
14 2.8617 0.00 0.10 0.00 -0.03
15 2.8645 0.00 0.01 0.00 -0.08
16 3.0473 0.00 -0.03 0.00 0.02
17 3.0527 0.00 -0.33 0.00 0.12
18 3.0527 0.00 0.16 0.00 -0.20
19 3.0666 0.00 0.05 0.00 -0.02
20 3.0692 0.00 0.06 0.00 0.03
21 3.0692 0.00 0.10 0.00 0.09
22 3.0857 0.00 -0.00 0.00 -0.05
23 4.9311 0.00 0.02 0.00 -0.04
24 4.9311 0.00 0.07 0.00 -0.09
25 4.9311 0.00 0.00 0.00 -0.04
26 5.1141 0.00 0.11 0.00 0.05
27 5.1668 0.00 -0.13 0.00 0.21
28 5.1669 0.00 -0.08 0.00 -0.02
29 5.1669 0.00 0.07 0.00 -0.08
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.
13TK172 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 46.849 46.849 46.849 ecceobj 0.209 0.209 0.209 incobj 12.584 12.584 12.584 qmin 36.498 36.499 36.497 qmax 56.949 57.011 57.038 amean 46.531 46.531 46.529 amin 46.117 46.110 46.126 amax 47.035 47.016 47.025 emean 0.198 0.198 0.198 emin 0.185 0.185 0.184 emax 0.213 0.213 0.213 imean 11.056 11.056 11.057 imin 10.458 10.458 10.462 imax 11.727 11.725 11.724 excite_mean 0.276 0.276 0.276 fracstop 1.000 1.000 1.000 cjmean 3.039 3.039 3.039 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 179.6 179.4 179.4 kozaiamp 180.0 180.0 179.9