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: 13TP227 # Created Wed Jul 17 01:10:08 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 19 observations of 19 # Arc: 10.18y # First observation: 2013/10/03 # Last observation: 2023/12/07 # Chi-squared of fit: 8.47 DOF: 32 RMS: 0.12 # Min/Max residuals: -0.23 0.19 # Exact a, adot, b, bdot, g, gdot: 1.674425E-05 2.730162E-02 2.030360E-06 4.570783E-03 2.628080E-02 -1.899945E-04 # Covariance matrix: 4.9107E-13 -2.0751E-13 5.6241E-14 -3.2968E-14 2.1930E-14 -6.3682E-13 -2.0751E-13 1.1413E-13 -3.4527E-14 2.0276E-14 -1.8302E-14 3.9108E-13 5.6241E-14 -3.4527E-14 2.2611E-13 -4.5395E-14 1.5877E-14 -1.3393E-13 -3.2968E-14 2.0276E-14 -4.5395E-14 1.4895E-14 -1.1913E-14 7.9541E-14 2.1930E-14 -1.8302E-14 1.5877E-14 -1.1913E-14 3.5131E-13 -1.8890E-13 -6.3682E-13 3.9108E-13 -1.3393E-13 7.9541E-14 -1.8890E-13 1.5201E-12 # lat0 lon0 xBary yBary zBary JD0 -10.274402 16.387861 0.115691 -0.177188 -0.978055 2456568.636578 # Heliocentric elements and errors Epoch: 2456568.5000 = 2013/10/03 Mean Anomaly: 354.13694 +/- 0.026 Argument of Peri: 320.10215 +/- 0.031 Long of Asc Node: 62.45198 +/- 0.001 Inclination: 13.74026 +/- 0.000 Eccentricity: 0.09779000 +/- 0.0001 Semi-Major Axis: 43.22975235 +/- 0.0048 Time of Perihelion: 2458259.3083 +/- 18.4 Perihelion: 39.00231501 +/- 0.0054 Aphelion: 47.45718969 +/- 0.0062 Period (y) 284.2381 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 36.90500896 +/- 0.0008 Ecliptic Y 10.73588206 +/- 0.0002 Ecliptic Z -6.78674736 +/- 0.0002 Ecliptic XDOT -0.00074583 +/- 0.0000 Ecliptic YDOT 0.00274576 +/- 0.0000 Ecliptic ZDOT 0.00047220 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 39.02946755 +/- 0.0008 Geocenter to KBO 38.05062338 +/- 0.0009 # Hcoef: 7.59
The following table shows the complete astrometric record for 13TP227. 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 (13TP227) followed by the observatory code and reference code for the source of the astrometry.
2013 10 03.13580 01 16 07.977 -03 03 01.77 24.0g 13TP227 W84 C~52Rd 2013 10 04.17488 01 16 02.996 -03 03 31.69 24.2g 13TP227 W84 C~52Rd 2014 10 01.32825 01 21 40.850 -02 11 38.84 23.5i 13TP227 W84 C~52Rd 2014 10 28.24596 01 19 30.319 -02 23 08.19 23.4r 13TP227 W84 C~52Re 2015 11 07.13160 01 24 07.723 -01 35 51.49 23.5r 13TP227 W84 C~52Re 2016 08 14.40444 01 35 06.657 -00 09 44.78 23.7r 13TP227 W84 C~52Re 2016 10 23.18451 01 30 36.774 -00 40 36.13 23.8r 13TP227 W84 C~52Re 2016 10 28.15912 01 30 12.561 -00 42 28.63 23.6i 13TP227 W84 C~52Re 2016 10 28.25076 01 30 12.133 -00 42 30.53 24.6g 13TP227 W84 C~52Re 2016 10 29.20921 01 30 07.521 -00 42 51.31 23.4r 13TP227 W84 C~52Re 2016 10 29.21058 01 30 07.511 -00 42 51.17 22.6i 13TP227 W84 C~52Re 2017 08 22.39889 01 40 09.922 +00 37 23.57 22.0i 13TP227 W84 C~52Re 2017 08 27.35001 01 39 57.944 +00 35 28.56 23.2i 13TP227 W84 C~52Re 2017 08 27.35139 01 39 57.933 +00 35 28.52 23.7r 13TP227 W84 C~52Re 2017 08 27.35278 01 39 57.925 +00 35 28.52 24.1g 13TP227 W84 C~52Re 2017 09 14.30539 01 38 59.162 +00 27 38.28 22.9z 13TP227 W84 C~52Re 2018 11 15.08835 01 39 34.905 +00 53 00.88 23.4i 13TP227 W84 C~52Re 2023 12 07.070880 02 04 59.417 +04 59 42.80 22.8G 13TP227 G37 C~7dIG 2023 12 07.171970 02 04 59.079 +04 59 41.91 13TP227 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 -0.12 0.00 0.11
2 0.0028 0.00 0.15 0.00 -0.12
3 0.9944 0.00 -0.16 0.00 0.15
4 1.0681 0.00 -0.14 0.00 -0.06
5 2.0944 0.00 0.04 0.00 0.09
6 2.8645 0.00 0.09 0.00 0.10
7 3.0556 0.00 0.05 0.00 -0.09
8 3.0692 0.00 -0.13 0.00 0.02
9 3.0694 0.00 0.19 0.00 0.11
10 3.0721 0.00 0.16 0.00 -0.10
11 3.0721 0.00 0.11 0.00 0.07
12 3.8857 0.00 -0.07 0.00 -0.16
13 3.8993 0.00 0.13 0.00 0.02
14 3.8993 0.00 0.02 0.00 0.01
15 3.8993 0.00 -0.04 0.00 0.04
16 3.9484 0.00 -0.01 0.00 -0.22
17 5.1169 0.00 -0.14 0.00 -0.01
18 10.1764 0.00 -0.23 0.00 0.11
19 10.1767 0.00 0.19 0.00 -0.04
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.
13TP227 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.489 43.489 43.489 ecceobj 0.103 0.103 0.103 incobj 13.738 13.738 13.738 qmin 38.188 38.184 38.193 qmax 48.520 48.515 48.521 amean 43.197 43.197 43.197 amin 42.846 42.844 42.846 amax 43.567 43.566 43.566 emean 0.097 0.097 0.097 emin 0.082 0.082 0.082 emax 0.114 0.114 0.114 imean 12.146 12.146 12.145 imin 11.497 11.497 11.496 imax 12.748 12.747 12.749 excite_mean 0.232 0.232 0.232 fracstop 1.000 1.000 1.000 cjmean 3.027 3.027 3.027 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 175.5 175.5 175.5 kozaiamp 179.9 179.9 180.0