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: 13TZ171 # Created Fri Nov 22 02:09:40 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 55 observations of 55 # Arc: 5.16y # First observation: 2013/10/04 # Last observation: 2018/12/01 # Chi-squared of fit: 17.94 DOF: 104 RMS: 0.10 # Min/Max residuals: -0.35 0.27 # Exact a, adot, b, bdot, g, gdot: 1.773245E-05 3.077056E-02 -3.181567E-06 -6.090732E-03 2.782361E-02 -1.101990E-03 # Covariance matrix: 1.6174E-13 -2.2241E-14 -3.7783E-15 -8.2594E-16 1.1423E-13 1.4582E-14 -2.2241E-14 7.7973E-14 6.6898E-15 -1.5027E-14 6.1534E-14 5.6559E-13 -3.7783E-15 6.6898E-15 7.6304E-14 -2.4608E-14 1.0602E-15 5.6167E-14 -8.2594E-16 -1.5027E-14 -2.4608E-14 1.4360E-14 -1.4625E-14 -1.2692E-13 1.1423E-13 6.1534E-14 1.0602E-15 -1.4625E-14 2.0562E-13 5.2877E-13 1.4582E-14 5.6559E-13 5.6167E-14 -1.2692E-13 5.2877E-13 4.7759E-12 # lat0 lon0 xBary yBary zBary JD0 -11.553340 28.512114 0.302891 -0.190824 -0.934058 2456569.789667 # Heliocentric elements and errors Epoch: 2456570.5000 = 2013/10/05 Mean Anomaly: 349.24657 +/- 0.015 Argument of Peri: 241.69078 +/- 0.023 Long of Asc Node: 163.69538 +/- 0.001 Inclination: 15.89465 +/- 0.000 Eccentricity: 0.19566104 +/- 0.0001 Semi-Major Axis: 45.54876789 +/- 0.0036 Time of Perihelion: 2459924.4613 +/- 13.9 Perihelion: 36.63664849 +/- 0.0039 Aphelion: 54.46088729 +/- 0.0051 Period (y) 307.4137 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 31.92333205 +/- 0.0005 Ecliptic Y 17.00040374 +/- 0.0003 Ecliptic Z -7.19835500 +/- 0.0001 Ecliptic XDOT -0.00165032 +/- 0.0000 Ecliptic YDOT 0.00255123 +/- 0.0000 Ecliptic ZDOT -0.00056533 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 36.87724690 +/- 0.0005 Geocenter to KBO 35.94075605 +/- 0.0006 # Hcoef: 7.26
The following table shows the complete astrometric record for 13TZ171. 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 (13TZ171) followed by the observatory code and reference code for the source of the astrometry.
2013 10 04.288889 02 02 19.34 +00 07 49.5 23.3g 13TZ171 W84 C~352D 2013 10 27.13254 02 00 27.051 -00 04 46.75 23.9g 13TZ171 W84 C~4yR8 2013 10 27.13254 02 00 27.05 -00 04 46.8 23.8g 13TZ171 W84 C~3clO 2013 11 04.07535 01 59 47.18 -00 08 29.8 23.0r 13TZ171 W84 C~352D 2013 11 04.13845 01 59 46.86 -00 08 31.4 13TZ171 W84 C~352D 2013 11 04.22080 01 59 46.44 -00 08 33.5 13TZ171 W84 C~352D 2013 11 13.149259 01 59 03.14 -00 12 08.1 22.4z 13TZ171 W84 C~352D 2013 11 13.14978 01 59 03.151 -00 12 08.13 22.4z 13TZ171 W84 C~4yR8 2013 12 01.18280 01 57 45.935 -00 17 03.77 23.2r 13TZ171 W84 C~4yR8 2013 12 01.18280 01 57 45.94 -00 17 03.8 23.1r 13TZ171 W84 C~3clO 2013 12 01.18426 01 57 45.919 -00 17 03.84 23.0i 13TZ171 W84 C~4yR8 2013 12 01.18426 01 57 45.92 -00 17 03.9 23.0i 13TZ171 W84 C~3clO 2013 12 20.12820 01 56 48.640 -00 18 25.79 22.6i 13TZ171 W84 C~4yR8 2013 12 20.12820 01 56 48.64 -00 18 25.8 22.7i 13TZ171 W84 C~3clO 2013 12 20.12959 01 56 48.631 -00 18 25.95 22.8z 13TZ171 W84 C~4yR8 2014 10 21.29169 02 08 04.530 +00 15 41.31 22.8r 13TZ171 W84 C~4yR8 2014 10 21.29169 02 08 04.53 +00 15 41.3 23.0r 13TZ171 W84 C~3clO 2014 10 29.27403 02 07 24.067 +00 11 37.47 23.0g 13TZ171 W84 C~4yR8 2014 10 29.27403 02 07 24.07 +00 11 37.5 23.0g 13TZ171 W84 C~3clO 2014 10 29.27540 02 07 24.06 +00 11 37.5 22.7r 13TZ171 W84 C~3clO 2014 12 16.13070 02 04 00.212 -00 01 22.75 22.5i 13TZ171 W84 C~4yR8 2014 12 16.13070 02 04 00.21 -00 01 22.8 22.6i 13TZ171 W84 C~3clO 2015 01 16.05620 02 03 20.335 +00 03 24.36 22.6z 13TZ171 W84 C~4yR8 2015 12 05.07384 02 11 40.815 +00 16 44.71 22.5i 13TZ171 W84 C~4yR8 2015 12 05.07384 02 11 40.81 +00 16 44.7 22.5i 13TZ171 W84 C~3clO 2015 12 05.07522 02 11 40.804 +00 16 44.64 22.8r 13TZ171 W84 C~4yR8 2015 12 05.07522 02 11 40.80 +00 16 44.6 22.8r 13TZ171 W84 C~3clO 2015 12 17.13079 02 11 00.303 +00 15 42.49 22.9i 13TZ171 W84 C~4yR8 2015 12 17.13079 02 11 00.30 +00 15 42.5 23.0i 13TZ171 W84 C~3clO 2016 01 10.06762 02 10 18.303 +00 18 31.68 24.2g 13TZ171 W84 C~4yR8 2016 10 27.17613 02 21 47.519 +00 47 01.03 23.0r 13TZ171 W84 C~4yR8 2016 10 27.17613 02 21 47.52 +00 47 01.1 23.0r 13TZ171 W84 C~3clO 2016 10 27.17750 02 21 47.517 +00 47 00.89 22.9i 13TZ171 W84 C~4yR8 2016 10 27.17750 02 21 47.52 +00 47 00.9 22.9i 13TZ171 W84 C~3clO 2016 10 27.17887 02 21 47.503 +00 47 01.16 23.4g 13TZ171 W84 C~4yR8 2016 10 27.17887 02 21 47.50 +00 47 01.0 23.9g 13TZ171 W84 C~3clO 2016 11 11.18701 02 20 31.06 +00 40 20.4 22.0z 13TZ171 W84 C~3clO 2016 12 06.10131 02 18 38.823 +00 33 39.14 22.5z 13TZ171 W84 C~4yR8 2016 12 06.10131 02 18 38.82 +00 33 39.1 22.6z 13TZ171 W84 C~3clO 2016 12 07.08806 02 18 35.078 +00 33 31.22 22.6i 13TZ171 W84 C~4yR8 2016 12 07.08806 02 18 35.08 +00 33 31.2 22.5i 13TZ171 W84 C~3clO 2016 12 23.05388 02 17 45.056 +00 32 53.98 22.7r 13TZ171 W84 C~4yR8 2016 12 23.05388 02 17 45.06 +00 32 54.0 22.9r 13TZ171 W84 C~3clO 2016 12 23.05524 02 17 45.052 +00 32 53.95 23.5g 13TZ171 W84 C~4yR8 2016 12 23.05524 02 17 45.05 +00 32 53.9 23.5g 13TZ171 W84 C~3clO 2016 12 23.26241 02 17 44.53 +00 32 54.5 23.0z 13TZ171 T09 C~7xNr 2016 12 23.34766 02 17 44.32 +00 32 54.7 22.8z 13TZ171 T09 C~7xNr 2016 12 23.35845 02 17 44.28 +00 32 54.7 22.7z 13TZ171 T09 C~7xNr 2017 09 13.59849 02 32 03.92 +01 28 56.6 22.3y 13TZ171 T09 C~7lsT 2017 09 13.62019 02 32 03.87 +01 28 56.2 22.1y 13TZ171 T09 C~7lsT 2017 09 13.64174 02 32 03.79 +01 28 55.2 22.4y 13TZ171 T09 C~7lsT 2018 10 21.25195 02 36 37.932 +01 24 48.32 22.5z 13TZ171 W84 C~4yR8 2018 11 16.12781 02 34 25.629 +01 13 10.35 22.5i 13TZ171 W84 C~4yR8 2018 12 01.16973 02 33 14.146 +01 08 56.01 23.2r 13TZ171 W84 C~4yR8 2018 12 01.17110 02 33 14.147 +01 08 55.91 23.8g 13TZ171 W84 C~4yR8
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 -0.07 2 0.0625 0.00 -0.10 0.00 -0.05 3 0.0625 0.00 -0.08 0.00 0.00 4 0.0843 0.00 0.01 0.00 -0.04 5 0.0845 0.00 -0.01 0.00 0.02 6 0.0847 0.00 -0.07 0.00 0.09 7 0.1091 0.00 -0.07 0.00 0.06 8 0.1091 0.00 0.13 0.00 0.04 9 0.1585 0.00 0.15 0.00 -0.02 10 0.1585 0.00 0.08 0.00 0.01 11 0.1585 0.00 -0.06 0.00 -0.10 12 0.1585 0.00 -0.08 0.00 -0.04 13 0.2104 0.00 0.06 0.00 -0.06 14 0.2104 0.00 0.06 0.00 -0.05 15 0.2104 0.00 -0.03 0.00 -0.22 16 1.0459 0.00 -0.09 0.00 0.01 17 1.0459 0.00 -0.09 0.00 0.02 18 1.0677 0.00 0.09 0.00 0.00 19 1.0677 0.00 0.05 0.00 -0.03 20 1.0677 0.00 0.05 0.00 0.04 21 1.1987 0.00 0.00 0.00 0.02 22 1.1987 0.00 0.03 0.00 0.07 23 1.2834 0.00 0.06 0.00 0.07 24 2.1678 0.00 0.06 0.00 0.01 25 2.1678 0.00 0.14 0.00 0.02 26 2.1678 0.00 -0.01 0.00 -0.08 27 2.1678 0.00 0.05 0.00 -0.04 28 2.2008 0.00 -0.01 0.00 0.06 29 2.2008 0.00 0.04 0.00 0.05 30 2.2663 0.00 -0.03 0.00 0.10 31 3.0633 0.00 -0.01 0.00 0.06 32 3.0633 0.00 0.00 0.00 0.13 33 3.0634 0.00 0.11 0.00 -0.03 34 3.0634 0.00 0.06 0.00 -0.04 35 3.0634 0.00 -0.08 0.00 0.11 36 3.0634 0.00 -0.04 0.00 0.27 37 3.1044 0.00 0.00 0.00 -0.02 38 3.1727 0.00 0.04 0.00 0.04 39 3.1727 0.00 0.08 0.00 0.08 40 3.1754 0.00 0.02 0.00 0.07 41 3.1754 0.00 -0.01 0.00 0.09 42 3.2191 0.00 0.09 0.00 0.04 43 3.2191 0.00 0.03 0.00 0.02 44 3.2191 0.00 -0.01 0.00 -0.06 45 3.2191 0.00 0.02 0.00 -0.01 46 3.2196 0.00 -0.24 0.00 0.08 47 3.2199 0.00 -0.16 0.00 0.01 48 3.2199 0.00 -0.35 0.00 -0.03 49 3.9434 0.00 0.04 0.00 -0.27 50 3.9434 0.00 0.27 0.00 0.07 51 3.9435 0.00 0.04 0.00 -0.20 52 5.0458 0.00 -0.32 0.00 -0.29 53 5.1166 0.00 0.20 0.00 0.03 54 5.1578 0.00 0.02 0.00 0.06 55 5.1578 0.00 0.13 0.00 -0.02
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.
13TZ171 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 45.818 45.818 45.819 ecceobj 0.200 0.200 0.200 incobj 15.857 15.857 15.857 qmin 35.789 35.796 35.707 qmax 55.450 55.424 55.508 amean 45.417 45.417 45.416 amin 45.019 45.019 45.020 amax 45.890 45.877 45.874 emean 0.193 0.193 0.193 emin 0.177 0.178 0.178 emax 0.210 0.210 0.211 imean 15.506 15.506 15.508 imin 14.781 14.782 14.780 imax 16.190 16.186 16.178 excite_mean 0.330 0.330 0.330 fracstop 1.000 1.000 1.000 cjmean 2.985 2.985 2.985 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 182.2 182.3 182.4 kozaiamp 180.0 180.0 180.0