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: 13TJ229 # Created Sat Apr 20 01:15:28 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 20 observations of 20 # Arc: 10.15y # First observation: 2013/10/13 # Last observation: 2023/12/07 # Chi-squared of fit: 11.49 DOF: 34 RMS: 0.13 # Min/Max residuals: -0.35 0.28 # Exact a, adot, b, bdot, g, gdot: 1.470415E-05 2.659077E-02 -1.180429E-05 -1.994501E-02 2.775295E-02 -1.687985E-03 # Covariance matrix: 2.5408E-13 -1.0588E-13 -9.1512E-14 6.7408E-14 8.4065E-15 -3.0599E-13 -1.0588E-13 7.6285E-14 7.9720E-14 -5.8567E-14 -4.5287E-14 2.6842E-13 -9.1512E-14 7.9720E-14 2.4369E-13 -9.2010E-14 -8.0174E-14 3.1710E-13 6.7408E-14 -5.8567E-14 -9.2010E-14 5.7387E-14 5.7471E-14 -2.3252E-13 8.4065E-15 -4.5287E-14 -8.0174E-14 5.7471E-14 3.9617E-13 -2.8714E-13 -3.0599E-13 2.6842E-13 3.1710E-13 -2.3252E-13 -2.8714E-13 1.0730E-12 # lat0 lon0 xBary yBary zBary JD0 -4.958135 14.012212 -0.098763 -0.085658 -0.988793 2456578.708038 # Heliocentric elements and errors Epoch: 2456578.5000 = 2013/10/13 Mean Anomaly: 354.86659 +/- 0.004 Argument of Peri: 199.43377 +/- 0.009 Long of Asc Node: 187.76606 +/- 0.000 Inclination: 37.12353 +/- 0.000 Eccentricity: 0.35260523 +/- 0.0001 Semi-Major Axis: 56.88993009 +/- 0.0100 Time of Perihelion: 2458813.3850 +/- 41.0 Perihelion: 36.83024313 +/- 0.0085 Aphelion: 76.94961704 +/- 0.0147 Period (y) 429.1028 +/- 0.11 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 35.76761251 +/- 0.0008 Ecliptic Y 9.03085446 +/- 0.0002 Ecliptic Z -3.11464922 +/- 0.0001 Ecliptic XDOT -0.00096728 +/- 0.0000 Ecliptic YDOT 0.00246235 +/- 0.0000 Ecliptic ZDOT -0.00194570 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 37.02137341 +/- 0.0008 Geocenter to KBO 36.03228168 +/- 0.0008 # Hcoef: 7.54
The following table shows the complete astrometric record for 13TJ229. 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 (13TJ229) followed by the observatory code and reference code for the source of the astrometry.
2013 10 13.20726 00 59 16.071 +00 57 15.89 23.1i 13TJ229 W84 C~52Rg 2013 10 13.20863 00 59 16.068 +00 57 15.70 22.9z 13TJ229 W84 C~52Rg 2013 11 08.17829 00 57 18.391 +00 41 01.25 23.3r 13TJ229 W84 C~52Rg 2014 10 21.25242 01 06 02.085 +00 23 55.17 22.6r 13TJ229 W84 C~52Rh 2014 10 21.25516 01 06 02.087 +00 23 55.29 22.8i 13TJ229 W84 C~52Rh 2014 10 23.24435 01 05 52.608 +00 22 37.83 23.4r 13TJ229 W84 C~52Rh 2014 11 21.10863 01 03 52.455 +00 07 00.10 22.0z 13TJ229 W84 C~52Rh 2015 09 04.30414 01 16 58.103 +00 29 04.19 22.9z 13TJ229 W84 C~52Rh 2015 09 04.30552 01 16 58.106 +00 29 04.21 23.2i 13TJ229 W84 C~52Rh 2016 08 25.39853 01 24 48.751 +00 07 03.95 23.0i 13TJ229 W84 C~52Rh 2016 08 26.32824 01 24 46.246 +00 06 27.67 23.2r 13TJ229 W84 C~52Rh 2016 10 29.23709 01 20 10.597 -00 37 56.54 22.9i 13TJ229 W84 C~52Rh 2016 10 29.23846 01 20 10.596 -00 37 56.57 23.3r 13TJ229 W84 C~52Rh 2016 10 29.23984 01 20 10.586 -00 37 56.76 24.1g 13TJ229 W84 C~52Rh 2017 08 28.38199 01 32 03.614 -00 22 50.12 22.9i 13TJ229 W84 C~52Rh 2017 09 18.27179 01 30 50.757 -00 37 40.01 23.3g 13TJ229 W84 C~52Rh 2017 09 24.25475 01 30 25.065 -00 42 04.06 23.3r 13TJ229 W84 C~52Rh 2023 12 07.101170 02 09 28.050 -04 08 14.01 23.7G 13TJ229 G37 C~7dIG 2023 12 07.151820 02 09 27.874 -04 08 14.45 13TJ229 G37 C~7dIG 2023 12 07.203680 02 09 27.666 -04 08 15.08 13TJ229 G37 C~7dIG
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 0.12
2 0.0000 0.00 0.11 0.00 -0.01
3 0.0711 0.00 0.07 0.00 -0.07
4 1.0213 0.00 -0.25 0.00 -0.35
5 1.0213 0.00 -0.02 0.00 -0.12
6 1.0268 0.00 -0.01 0.00 0.18
7 1.1058 0.00 -0.25 0.00 0.28
8 1.8921 0.00 -0.02 0.00 -0.21
9 1.8921 0.00 0.10 0.00 -0.13
10 2.8671 0.00 -0.01 0.00 0.08
11 2.8696 0.00 -0.01 0.00 0.08
12 3.0446 0.00 0.13 0.00 0.04
13 3.0446 0.00 0.21 0.00 0.06
14 3.0446 0.00 0.16 0.00 -0.08
15 3.8745 0.00 0.00 0.00 0.08
16 3.9317 0.00 -0.04 0.00 0.03
17 3.9481 0.00 -0.12 0.00 0.18
18 10.1489 0.00 -0.00 0.00 -0.03
19 10.1491 0.00 0.12 0.00 0.03
20 10.1492 0.00 -0.17 0.00 -0.09
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.
13TJ229 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 57.269 57.269 57.269 ecceobj 0.357 0.357 0.357 incobj 37.032 37.032 37.032 qmin 34.921 34.992 34.980 qmax 79.544 79.701 79.606 amean 56.793 56.783 56.786 amin 56.185 56.174 56.198 amax 57.569 57.600 57.575 emean 0.363 0.363 0.363 emin 0.342 0.341 0.341 emax 0.383 0.384 0.383 imean 36.522 36.522 36.526 imin 35.997 35.985 35.996 imax 37.190 37.186 37.208 excite_mean 0.697 0.697 0.697 fracstop 1.000 1.000 1.000 cjmean 2.586 2.586 2.586 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 180.6 180.8 180.4 kozaiamp 180.0 180.0 180.0