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: 10TK192 # Created Fri Nov 22 02:09:10 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 70 observations of 70 # Arc: 22.06y # First observation: 2000/09/27 # Last observation: 2022/10/18 # Chi-squared of fit: 116.26 DOF: 134 RMS: 0.23 # Min/Max residuals: -0.93 0.75 # Exact a, adot, b, bdot, g, gdot: 1.322959E-05 2.010475E-02 1.003542E-05 1.380460E-02 2.422972E-02 -1.841850E-03 # Covariance matrix: 3.7035E-13 -4.1382E-14 1.0624E-13 -1.8787E-14 -1.9733E-14 -4.8808E-14 -4.1382E-14 5.8972E-15 -1.9059E-14 3.3665E-15 4.6910E-15 8.7416E-15 1.0624E-13 -1.9059E-14 2.9359E-13 -2.7426E-14 -1.4116E-14 -3.4260E-14 -1.8787E-14 3.3665E-15 -2.7426E-14 3.3418E-15 2.2638E-15 6.0612E-15 -1.9733E-14 4.6910E-15 -1.4116E-14 2.2638E-15 6.9410E-14 5.6391E-15 -4.8808E-14 8.7416E-15 -3.4260E-14 6.0612E-15 5.6391E-15 1.5749E-14 # lat0 lon0 xBary yBary zBary JD0 -13.454996 6.635576 0.040047 -0.231858 -0.968335 2451814.883820 # Heliocentric elements and errors Epoch: 2451814.5000 = 2000/09/27 Mean Anomaly: 325.73083 +/- 0.008 Argument of Peri: 20.62032 +/- 0.011 Long of Asc Node: 24.95553 +/- 0.000 Inclination: 36.52552 +/- 0.000 Eccentricity: 0.12009960 +/- 0.0000 Semi-Major Axis: 46.62524237 +/- 0.0023 Time of Perihelion: 2462884.0791 +/- 8.1 Perihelion: 41.02556930 +/- 0.0024 Aphelion: 52.22491544 +/- 0.0028 Period (y) 318.3757 +/- 0.02 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 40.86903597 +/- 0.0004 Ecliptic Y 4.71852359 +/- 0.0001 Ecliptic Z -9.60273274 +/- 0.0001 Ecliptic XDOT -0.00011053 +/- 0.0000 Ecliptic YDOT 0.00228010 +/- 0.0000 Ecliptic ZDOT 0.00156563 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.24641074 +/- 0.0004 Geocenter to KBO 41.27170042 +/- 0.0004 # Hcoef: 6.54
The following table shows the complete astrometric record for 10TK192. 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 (10TK192) followed by the observatory code and reference code for the source of the astrometry.
2000 09 27.383077 00 45 47.99 -09 43 00.4 22.0V 10TK192 645 C~2POO 2000 09 27.383906 00 45 47.99 -09 43 00.3 22.6V 10TK192 645 C~2POO 2000 09 27.386394 00 45 47.99 -09 43 00.3 23.2V 10TK192 645 C~2POO 2010 10 13.44585 01 14 22.335 +02 17 37.18 23.0w 10TK192 F51 C~1w3k 2010 10 13.47642 01 14 22.176 +02 17 36.41 22.9w 10TK192 F51 C~1w3k 2010 10 13.49031 01 14 22.112 +02 17 36.11 23.0w 10TK192 F51 C~1w3k 2010 10 30.34528 01 13 00.634 +02 12 17.49 23.0G 10TK192 F51 C~345G 2010 10 30.35930 01 13 00.611 +02 12 16.65 23.1w 10TK192 F51 C~1w3k 2010 10 30.37362 01 13 00.511 +02 12 16.96 23.0w 10TK192 F51 C~1w3k 2010 10 30.38760 01 13 00.451 +02 12 16.58 22.9w 10TK192 F51 C~1w3k 2011 01 29.24376 01 10 29.043 +02 20 18.80 23.1w 10TK192 F51 C~1w3l 2011 07 05.58677 01 21 38.349 +03 49 52.46 23.2w 10TK192 F51 C~1w3l 2011 07 05.59075 01 21 38.354 +03 49 52.32 23.1w 10TK192 F51 C~1w3l 2011 07 05.59868 01 21 38.392 +03 49 52.10 23.1w 10TK192 F51 C~1w3l 2011 09 23.45784 01 19 01.331 +03 38 41.40 22.6G 10TK192 F51 C~345G 2011 09 23.47321 01 19 01.256 +03 38 40.87 22.5G 10TK192 F51 C~345G 2011 09 23.48860 01 19 01.209 +03 38 40.75 22.4G 10TK192 F51 C~345G 2011 09 23.50415 01 19 01.119 +03 38 40.66 22.8w 10TK192 F51 C~1w3l 2012 10 15.34374 01 20 15.132 +04 44 51.48 22.7G 10TK192 F51 C~345G 2012 10 15.36187 01 20 14.969 +04 44 51.93 23.1G 10TK192 F51 C~345G 2012 10 15.36253 01 20 15.016 +04 44 51.71 22.5w 10TK192 F51 C~1w3l 2012 11 05.28880 01 18 34.367 +04 38 21.68 22.8w 10TK192 F51 C~1w3l 2012 11 05.31900 01 18 34.225 +04 38 21.16 22.4w 10TK192 F51 C~1w3l 2012 11 05.33414 01 18 34.161 +04 38 21.17 22.6w 10TK192 F51 C~1w3l 2013 09 28.61000 01 24 41.575 +06 04 51.44 21.6r 10TK192 F51 C~1w3l 2013 10 02.39512 01 24 23.554 +06 03 35.11 22.4w 10TK192 F51 C~1w3l 2013 10 02.42484 01 24 23.405 +06 03 34.35 22.4w 10TK192 F51 C~1w3l 2013 10 02.42634 01 24 23.367 +06 03 34.36 22.7w 10TK192 F51 C~1w3l 2013 10 27.34883 01 22 20.653 +05 55 11.04 22.6w 10TK192 F51 C~1w3l 2013 10 27.38003 01 22 20.522 +05 55 10.29 22.7w 10TK192 F51 C~1w3l 2014 08 25.54295 01 30 00.152 +07 27 52.07 22.8G 10TK192 F51 C~345G 2014 08 25.55659 01 30 00.116 +07 27 51.79 22.9G 10TK192 F51 C~345G 2014 08 25.57029 01 30 00.061 +07 27 52.11 23.0G 10TK192 F51 C~345G 2014 08 25.58402 01 30 00.031 +07 27 51.96 22.6G 10TK192 F51 C~345G 2014 08 26.56295 01 29 57.212 +07 27 41.95 22.7G 10TK192 F51 C~345G 2014 09 07.51575 01 29 17.308 +07 25 11.77 23.8G 10TK192 F51 C~345G 2014 09 23.49989 01 28 10.920 +07 20 44.28 23.6G 10TK192 F51 C~345G 2014 11 22.34224 01 23 29.745 +07 02 27.89 22.9G 10TK192 F51 C~345G 2014 12 18.26181 01 22 13.541 +06 59 42.42 22.7G 10TK192 F51 C~345G 2014 12 18.29823 01 22 13.500 +06 59 42.41 22.4G 10TK192 F51 C~345G 2015 01 08.24502 01 21 53.763 +07 01 43.66 23.5G 10TK192 F51 C~345G 2015 01 10.26194 01 21 54.014 +07 02 08.42 22.5G 10TK192 F51 C~345G 2015 09 12.44127 01 32 04.666 +08 37 57.65 22.6G 10TK192 F51 C~345G 2015 09 12.45167 01 32 04.603 +08 37 57.28 22.5G 10TK192 F51 C~345G 2015 09 12.46208 01 32 04.561 +08 37 57.16 22.3G 10TK192 F51 C~345G 2015 09 12.47255 01 32 04.510 +08 37 57.33 22.8G 10TK192 F51 C~345G 2015 10 15.34381 01 29 32.162 +08 27 54.03 22.2G 10TK192 F51 C~345G 2015 12 03.23665 01 25 55.302 +08 14 29.92 22.4G 10TK192 F51 C~345G 2015 12 03.24920 01 25 55.247 +08 14 29.23 22.6G 10TK192 F51 C~345G 2015 12 07.25988 01 25 42.959 +08 13 57.17 20.1G 10TK192 F51 C~345G 2016 01 01.23374 01 24 56.619 +08 13 35.01 22.7G 10TK192 F51 C~345G 2017 09 19.54164 01 37 48.255 +11 04 06.87 22.3G 10TK192 F51 C~345G 2017 09 19.55447 01 37 48.201 +11 04 06.47 23.1G 10TK192 F51 C~345G 2017 09 19.56721 01 37 48.144 +11 04 06.44 23.0G 10TK192 F51 C~345G 2017 09 19.57994 01 37 48.085 +11 04 06.21 22.7G 10TK192 F51 C~345G 2017 10 22.44688 01 35 08.764 +10 54 05.47 22.3G 10TK192 F51 C~345G 2017 10 22.45855 01 35 08.715 +10 54 05.31 22.5G 10TK192 F51 C~345G 2017 10 22.47016 01 35 08.658 +10 54 05.17 22.7G 10TK192 F51 C~345G 2017 10 22.48184 01 35 08.609 +10 54 04.92 23.2G 10TK192 F51 C~345G 2017 11 10.28162 01 33 36.492 +10 48 00.02 21.8G 10TK192 F51 C~345G 2017 11 10.29412 01 33 36.413 +10 47 59.89 23.2G 10TK192 F51 C~345G 2017 11 10.30667 01 33 36.355 +10 48 00.29 22.6G 10TK192 F51 C~345G 2017 11 10.31919 01 33 36.327 +10 47 59.92 22.6G 10TK192 F51 C~345G 2020 10 20.34319 01 44 56.314 +14 37 54.88 22.3w 10TK192 F51 C~49hx 2020 10 20.35479 01 44 56.239 +14 37 54.70 22.4w 10TK192 F51 C~49hx 2020 10 20.36640 01 44 56.200 +14 37 54.40 22.2w 10TK192 F51 C~49hx 2020 10 20.37799 01 44 56.122 +14 37 54.22 22.5w 10TK192 F51 C~49hx 2022 10 18.501713 01 51 48.132 +17 07 17.09 22.4w 10TK192 F51 C~5tMv 2022 10 18.513912 01 51 48.080 +17 07 16.60 22.6w 10TK192 F51 C~5tMv 2022 10 18.526154 01 51 47.997 +17 07 16.85 22.3w 10TK192 F51 C~5tMv
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 0.07 0.00 -0.20 2 0.0000 0.00 0.13 0.00 -0.08 3 0.0000 0.00 0.31 0.00 -0.03 4 10.0426 0.00 0.07 0.00 0.10 5 10.0427 0.00 -0.03 0.00 -0.04 6 10.0427 0.00 0.05 0.00 -0.06 7 10.0889 0.00 -0.25 0.00 0.13 8 10.0889 0.00 0.40 0.00 -0.48 9 10.0890 0.00 -0.08 0.00 0.07 10 10.0890 0.00 0.02 0.00 -0.08 11 10.3377 0.00 0.02 0.00 -0.17 12 10.7685 0.00 -0.23 0.00 0.06 13 10.7685 0.00 -0.23 0.00 -0.12 14 10.7686 0.00 0.19 0.00 -0.42 15 10.9872 0.00 -0.07 0.00 0.02 16 10.9872 0.00 -0.12 0.00 -0.20 17 10.9873 0.00 0.24 0.00 0.00 18 10.9873 0.00 -0.03 0.00 0.24 19 12.0492 0.00 0.15 0.00 -0.07 20 12.0492 0.00 -0.93 0.00 0.75 21 12.0492 0.00 -0.17 0.00 0.54 22 12.1065 0.00 -0.11 0.00 0.04 23 12.1066 0.00 -0.14 0.00 0.01 24 12.1066 0.00 -0.05 0.00 0.26 25 13.0027 0.00 0.09 0.00 -0.16 26 13.0130 0.00 0.31 0.00 0.28 27 13.0131 0.00 0.26 0.00 0.13 28 13.0131 0.00 -0.20 0.00 0.17 29 13.0814 0.00 -0.09 0.00 0.28 30 13.0814 0.00 0.26 0.00 0.12 31 13.9087 0.00 -0.08 0.00 -0.16 32 13.9088 0.00 -0.02 0.00 -0.30 33 13.9088 0.00 -0.24 0.00 0.15 34 13.9088 0.00 -0.09 0.00 0.14 35 13.9115 0.00 -0.01 0.00 0.03 36 13.9442 0.00 -0.17 0.00 -0.43 37 13.9880 0.00 0.40 0.00 0.30 38 14.1518 0.00 -0.21 0.00 0.03 39 14.2228 0.00 -0.85 0.00 0.04 40 14.2229 0.00 -0.38 0.00 0.03 41 14.2803 0.00 0.27 0.00 -0.11 42 14.2858 0.00 0.14 0.00 0.04 43 14.9570 0.00 0.28 0.00 -0.02 44 14.9571 0.00 -0.03 0.00 -0.24 45 14.9571 0.00 -0.03 0.00 -0.20 46 14.9571 0.00 -0.16 0.00 0.12 47 15.0471 0.00 -0.05 0.00 0.44 48 15.1810 0.00 0.02 0.00 0.36 49 15.1810 0.00 -0.18 0.00 -0.22 50 15.1920 0.00 0.08 0.00 0.13 51 15.2604 0.00 0.25 0.00 -0.12 52 16.9778 0.00 0.02 0.00 -0.05 53 16.9779 0.00 0.06 0.00 -0.26 54 16.9779 0.00 0.05 0.00 -0.09 55 16.9780 0.00 0.00 0.00 -0.13 56 17.0679 0.00 -0.02 0.00 -0.12 57 17.0680 0.00 0.15 0.00 -0.04 58 17.0680 0.00 0.19 0.00 0.05 59 17.0680 0.00 0.35 0.00 0.03 60 17.1195 0.00 0.10 0.00 -0.47 61 17.1195 0.00 -0.20 0.00 -0.37 62 17.1196 0.00 -0.18 0.00 0.26 63 17.1196 0.00 0.28 0.00 0.11 64 20.0629 0.00 0.10 0.00 0.01 65 20.0629 0.00 -0.12 0.00 0.06 66 20.0629 0.00 0.21 0.00 -0.02 67 20.0630 0.00 -0.04 0.00 0.02 68 22.0565 0.00 0.07 0.00 -0.02 69 22.0565 0.00 0.25 0.00 -0.29 70 22.0565 0.00 -0.02 0.00 0.18
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.
10TK192 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 46.701 46.700 46.701 ecceobj 0.121 0.121 0.121 incobj 36.510 36.510 36.510 qmin 40.166 40.161 40.199 qmax 52.968 52.956 52.993 amean 46.413 46.413 46.413 amin 46.034 46.030 46.048 amax 46.825 46.820 46.828 emean 0.118 0.118 0.118 emin 0.106 0.106 0.106 emax 0.131 0.131 0.132 imean 36.329 36.329 36.329 imin 36.094 36.094 36.093 imax 36.579 36.568 36.579 excite_mean 0.604 0.604 0.604 fracstop 1.000 1.000 1.000 cjmean 2.634 2.634 2.634 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 155.2 155.2 155.3 kozaiamp 180.0 180.0 180.0