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: 13TN229 # Created Fri Apr 26 01:15:30 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 22 observations of 22 # Arc: 5.09y # First observation: 2013/10/02 # Last observation: 2018/11/06 # Chi-squared of fit: 7.38 DOF: 38 RMS: 0.10 # Min/Max residuals: -0.22 0.23 # Exact a, adot, b, bdot, g, gdot: 1.530520E-05 2.689317E-02 -3.518493E-06 -7.107672E-03 2.630970E-02 5.155669E-03 # Covariance matrix: 2.9521E-13 -2.5029E-13 -2.7431E-14 4.8867E-14 -2.2852E-14 -1.6999E-12 -2.5029E-13 3.9391E-13 5.4248E-14 -9.6146E-14 1.2972E-14 3.3481E-12 -2.7431E-14 5.4248E-14 2.1022E-13 -8.2155E-14 -1.7983E-15 5.0493E-13 4.8867E-14 -9.6146E-14 -8.2155E-14 5.9903E-14 -5.2995E-15 -8.9492E-13 -2.2852E-14 1.2972E-14 -1.7983E-15 -5.2995E-15 5.5453E-13 1.2148E-13 -1.6999E-12 3.3481E-12 5.0493E-13 -8.9492E-13 1.2148E-13 3.1164E-11 # lat0 lon0 xBary yBary zBary JD0 -10.055853 8.232473 -0.011569 -0.174654 -0.985539 2456567.767168 # Heliocentric elements and errors Epoch: 2456568.5000 = 2013/10/03 Mean Anomaly: 41.36733 +/- 0.017 Argument of Peri: 151.33119 +/- 0.025 Long of Asc Node: 155.59003 +/- 0.001 Inclination: 17.74554 +/- 0.000 Eccentricity: 0.22684992 +/- 0.0002 Semi-Major Axis: 45.39982961 +/- 0.0093 Time of Perihelion: 2443729.3941 +/- 6.5 Perihelion: 35.10088211 +/- 0.0126 Aphelion: 55.69877711 +/- 0.0154 Period (y) 305.9071 +/- 0.09 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 38.02763753 +/- 0.0010 Ecliptic Y 5.51665074 +/- 0.0002 Ecliptic Z -6.63680664 +/- 0.0002 Ecliptic XDOT -0.00001189 +/- 0.0000 Ecliptic YDOT 0.00282553 +/- 0.0000 Ecliptic ZDOT -0.00082182 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 38.99452328 +/- 0.0010 Geocenter to KBO 38.00871335 +/- 0.0011 # Hcoef: 7.47
The following table shows the complete astrometric record for 13TN229. 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 (13TN229) followed by the observatory code and reference code for the source of the astrometry.
2013 10 02.26639 00 46 07.432 -05 58 34.69 23.7r 13TN229 W84 C~55Nw 2013 10 04.21244 00 45 58.237 -05 59 40.52 23.4r 13TN229 W84 C~55Nw 2013 10 04.21385 00 45 58.234 -05 59 40.65 23.6i 13TN229 W84 C~55Nw 2013 10 11.21232 00 45 25.241 -06 03 27.74 24.5g 13TN229 W84 C~55Nw 2014 09 21.19136 00 53 17.56 -05 37 44.4 24.3V 13TN229 W84 C~55Nw 2014 09 21.27145 00 53 17.20 -05 37 47.3 13TN229 W84 C~55Nw 2014 09 21.31846 00 53 16.99 -05 37 48.9 13TN229 W84 C~55Nw 2014 10 03.30184 00 52 21.764 -05 44 51.89 23.2r 13TN229 W84 C~55Nw 2014 10 03.30321 00 52 21.758 -05 44 52.04 22.9i 13TN229 W84 C~55Nw 2014 12 06.08895 00 48 22.326 -06 04 51.23 22.3z 13TN229 W84 C~55Nw 2015 09 04.29075 01 00 40.333 -05 13 01.92 23.4i 13TN229 W84 C~55Nw 2016 08 25.41506 01 07 17.202 -04 53 22.80 23.1i 13TN229 W84 C~55Nw 2016 08 25.41643 01 07 17.197 -04 53 22.86 22.9z 13TN229 W84 C~55Nw 2016 09 01.35881 01 06 55.056 -04 57 28.89 23.9g 13TN229 W84 C~55Nw 2016 09 30.20197 01 04 56.505 -05 14 50.84 23.5r 13TN229 W84 C~55Nw 2016 09 30.20335 01 04 56.491 -05 14 50.87 23.5i 13TN229 W84 C~55Nw 2016 09 30.20472 01 04 56.487 -05 14 51.12 24.0g 13TN229 W84 C~55Nw 2016 10 01.21775 01 04 51.826 -05 15 25.95 23.7r 13TN229 W84 C~55Nw 2016 10 01.21913 01 04 51.800 -05 15 25.89 24.4g 13TN229 W84 C~55Nw 2016 11 05.13271 01 02 13.506 -05 31 45.68 22.3z 13TN229 W84 C~55Nw 2017 09 24.25921 01 11 29.030 -04 56 50.91 22.5z 13TN229 W84 C~55Nw 2018 11 06.18559 01 14 16.274 -05 03 14.08 22.4r 13TN229 W84 C~55Nw
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 0.23 0.00 -0.07
2 0.0053 0.00 -0.05 0.00 0.00
3 0.0053 0.00 0.01 0.00 -0.08
4 0.0245 0.00 0.03 0.00 -0.02
5 0.9690 0.00 -0.09 0.00 -0.04
6 0.9692 0.00 -0.01 0.00 -0.03
7 0.9693 0.00 0.05 0.00 0.08
8 1.0022 0.00 -0.08 0.00 0.09
9 1.0022 0.00 -0.07 0.00 -0.01
10 1.1768 0.00 -0.13 0.00 0.12
11 1.9220 0.00 -0.14 0.00 0.14
12 2.8971 0.00 0.06 0.00 0.15
13 2.8971 0.00 0.05 0.00 0.13
14 2.9161 0.00 -0.16 0.00 0.05
15 2.9950 0.00 0.14 0.00 -0.04
16 2.9950 0.00 0.02 0.00 -0.02
17 2.9950 0.00 0.06 0.00 -0.22
18 2.9978 0.00 0.19 0.00 -0.10
19 2.9978 0.00 -0.10 0.00 0.01
20 3.0934 0.00 0.21 0.00 0.03
21 3.9781 0.00 -0.03 0.00 -0.14
22 5.0949 0.00 -0.07 0.00 0.05
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.
13TN229 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 45.699 45.699 45.699 ecceobj 0.232 0.232 0.232 incobj 17.702 17.702 17.702 qmin 33.834 33.931 33.815 qmax 57.944 57.544 57.695 amean 45.625 45.432 45.552 amin 45.020 44.981 44.988 amax 46.170 46.062 46.095 emean 0.234 0.231 0.232 emin 0.215 0.210 0.210 emax 0.256 0.251 0.254 imean 16.762 16.676 16.775 imin 15.761 15.718 15.726 imax 17.671 17.631 17.670 excite_mean 0.372 0.369 0.370 fracstop 1.000 1.000 1.000 cjmean 2.951 2.953 2.952 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 184.4 180.1 179.8 kozaiamp 180.0 180.0 179.9