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: 13TA228 # Created Sun Dec 22 02:09:45 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 18 observations of 18 # Arc: 5.15y # First observation: 2013/10/04 # Last observation: 2018/11/28 # Chi-squared of fit: 5.88 DOF: 30 RMS: 0.10 # Min/Max residuals: -0.20 0.25 # Exact a, adot, b, bdot, g, gdot: 1.650198E-05 2.582920E-02 1.563733E-06 2.485572E-03 2.513541E-02 -3.242933E-03 # Covariance matrix: 4.8172E-13 -2.0641E-13 2.6820E-15 -1.4754E-14 3.0459E-13 -1.2052E-12 -2.0641E-13 2.9895E-13 -1.9285E-14 3.0197E-14 7.4175E-14 2.3725E-12 2.6820E-15 -1.9285E-14 2.4251E-13 -6.7942E-14 -2.0123E-14 -1.6914E-13 -1.4754E-14 3.0197E-14 -6.7942E-14 3.0296E-14 9.9882E-15 2.6350E-13 3.0459E-13 7.4175E-14 -2.0123E-14 9.9882E-15 7.1958E-13 6.9078E-13 -1.2052E-12 2.3725E-12 -1.6914E-13 2.6350E-13 6.9078E-13 2.0696E-11 # lat0 lon0 xBary yBary zBary JD0 -10.048885 21.827934 0.191510 -0.171214 -0.966802 2456569.693798 # Heliocentric elements and errors Epoch: 2456570.5000 = 2013/10/05 Mean Anomaly: 319.95534 +/- 0.031 Argument of Peri: 354.23402 +/- 0.051 Long of Asc Node: 82.24528 +/- 0.002 Inclination: 11.21379 +/- 0.000 Eccentricity: 0.17555194 +/- 0.0002 Semi-Major Axis: 46.24123014 +/- 0.0075 Time of Perihelion: 2469346.1967 +/- 26.9 Perihelion: 38.12349268 +/- 0.0097 Aphelion: 54.35896760 +/- 0.0116 Period (y) 314.4505 +/- 0.08 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 37.34756142 +/- 0.0012 Ecliptic Y 14.75610733 +/- 0.0005 Ecliptic Z -6.94189992 +/- 0.0002 Ecliptic XDOT -0.00133128 +/- 0.0000 Ecliptic YDOT 0.00249859 +/- 0.0000 Ecliptic ZDOT 0.00032836 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 40.75266803 +/- 0.0011 Geocenter to KBO 39.78462454 +/- 0.0013 # Hcoef: 7.36
The following table shows the complete astrometric record for 13TA228. 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 (13TA228) followed by the observatory code and reference code for the source of the astrometry.
2013 10 04.19302 01 35 39.212 -00 49 42.11 24.3g 13TA228 W84 C~52Re 2013 11 08.22418 01 32 58.263 -01 03 33.68 23.2r 13TA228 W84 C~52Re 2013 11 23.18237 01 31 58.544 -01 06 53.76 23.1i 13TA228 W84 C~52Re 2013 11 23.18375 01 31 58.523 -01 06 53.40 23.1z 13TA228 W84 C~52Re 2014 10 01.33516 01 41 11.491 -00 07 23.83 23.2g 13TA228 W84 C~52Re 2014 10 29.25418 01 39 02.066 -00 19 27.01 23.6r 13TA228 W84 C~52Re 2014 12 16.10805 01 36 07.950 -00 27 35.35 22.6z 13TA228 W84 C~52Re 2015 11 01.20148 01 44 09.323 +00 20 36.72 23.2i 13TA228 W84 C~52Re 2015 11 06.20165 01 43 46.338 +00 18 55.20 23.3r 13TA228 W84 C~52Re 2016 10 23.19963 01 50 10.086 +01 05 02.51 23.8r 13TA228 W84 C~52Re 2016 10 28.17428 01 49 46.421 +01 03 05.56 23.1i 13TA228 W84 C~52Re 2016 10 28.17565 01 49 46.422 +01 03 05.65 24.4g 13TA228 W84 C~52Re 2017 09 14.30679 01 58 23.177 +02 04 04.86 23.0r 13TA228 W84 C~52Re 2017 10 29.26071 01 55 06.305 +01 44 17.26 23.6i 13TA228 W84 C~52Re 2017 11 16.15848 01 53 44.096 +01 38 32.32 23.6r 13TA228 W84 C~52Re 2017 11 16.15985 01 53 44.100 +01 38 32.19 23.6g 13TA228 W84 C~52Re 2018 10 20.22873 02 01 17.221 +02 29 44.91 22.4z 13TA228 W84 C~52Re 2018 11 28.04046 01 58 21.231 +02 17 38.42 24.5g 13TA228 W84 C~52Re
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 -0.02
2 0.0959 0.00 -0.14 0.00 -0.11
3 0.1369 0.00 0.25 0.00 -0.20
4 0.1369 0.00 0.01 0.00 0.17
5 0.9915 0.00 0.05 0.00 0.14
6 1.0679 0.00 -0.03 0.00 0.04
7 1.1989 0.00 -0.06 0.00 -0.10
8 2.0753 0.00 0.05 0.00 0.04
9 2.0890 0.00 0.01 0.00 0.09
10 3.0527 0.00 -0.11 0.00 -0.10
11 3.0663 0.00 -0.06 0.00 0.00
12 3.0663 0.00 0.05 0.00 0.12
13 3.9456 0.00 0.07 0.00 0.12
14 4.0686 0.00 0.04 0.00 -0.10
15 4.1176 0.00 -0.11 0.00 0.09
16 4.1176 0.00 0.04 0.00 -0.02
17 5.0432 0.00 -0.08 0.00 -0.08
18 5.1495 0.00 0.17 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.
13TA228 quality flag:2 Type: 6:3EII CLASSICAL CLASSICAL axisobj 46.510 46.510 46.510 ecceobj 0.177 0.177 0.177 incobj 11.218 11.218 11.218 qmin 37.120 37.103 37.126 qmax 55.498 55.567 55.516 amean 46.124 46.123 46.124 amin 45.734 45.723 45.731 amax 46.590 46.588 46.589 emean 0.179 0.179 0.179 emin 0.164 0.164 0.164 emax 0.192 0.193 0.192 imean 9.464 9.464 9.465 imin 8.830 8.830 8.829 imax 10.111 10.105 10.107 excite_mean 0.243 0.243 0.243 fracstop 1.000 1.000 1.000 cjmean 3.055 3.055 3.055 libcent 0 95.2 -180.0 -180.0 libamp 0 65.0 -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 174.8 174.7 174.8 kozaiamp 180.0 180.0 180.0