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: 13TO229 # Created Wed Dec 25 02:09:42 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 16 observations of 16 # Arc: 15.10y # First observation: 2003/10/22 # Last observation: 2018/11/26 # Chi-squared of fit: 7.67 DOF: 26 RMS: 0.12 # Min/Max residuals: -0.28 0.18 # Exact a, adot, b, bdot, g, gdot: 1.443321E-05 2.039703E-02 -2.660126E-07 -8.145232E-05 2.235087E-02 -2.032414E-04 # Covariance matrix: 7.3263E-13 -1.1753E-13 -4.1343E-16 2.7989E-16 -7.0094E-14 -2.2024E-13 -1.1753E-13 5.3657E-14 2.4096E-16 -1.9227E-16 1.7964E-14 1.5694E-13 -4.1343E-16 2.4096E-16 6.3147E-13 -4.8256E-14 9.3491E-16 7.6788E-16 2.7989E-16 -1.9227E-16 -4.8256E-14 4.2691E-15 -1.8460E-16 -6.1128E-16 -7.0094E-14 1.7964E-14 9.3491E-16 -1.8460E-16 5.1062E-13 5.8379E-14 -2.2024E-13 1.5694E-13 7.6788E-16 -6.1128E-16 5.8379E-14 4.9872E-13 # lat0 lon0 xBary yBary zBary JD0 -1.043693 -5.957834 -0.557066 -0.015022 -0.826202 2452934.655283 # Heliocentric elements and errors Epoch: 2452934.5000 = 2003/10/22 Mean Anomaly: 179.07840 +/- 0.054 Argument of Peri: 79.01954 +/- 0.045 Long of Asc Node: 96.57461 +/- 0.010 Inclination: 1.04698 +/- 0.000 Eccentricity: 0.04355994 +/- 0.0001 Semi-Major Axis: 43.66537572 +/- 0.0052 Time of Perihelion: 2400508.7169 +/- 18.4 Perihelion: 41.76331458 +/- 0.0064 Aphelion: 45.56743685 +/- 0.0067 Period (y) 288.5453 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 45.36859613 +/- 0.0014 Ecliptic Y -4.17098151 +/- 0.0001 Ecliptic Z -0.81494328 +/- 0.0000 Ecliptic XDOT 0.00022966 +/- 0.0000 Ecliptic YDOT 0.00248159 +/- 0.0000 Ecliptic ZDOT -0.00000936 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 45.56721074 +/- 0.0014 Geocenter to KBO 44.74103727 +/- 0.0014 # Hcoef: 6.84
The following table shows the complete astrometric record for 13TO229. 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 (13TO229) followed by the observatory code and reference code for the source of the astrometry.
2003 10 22.15454 23 39 46.71 -03 19 28.6 22.9R 13TO229 695 C~55Nw 2003 10 22.24844 23 39 46.39 -03 19 30.4 13TO229 695 C~55Nw 2013 10 03.09360 00 24 01.815 +01 25 56.58 24.8g 13TO229 W84 C~55Nw 2013 10 04.15441 00 23 57.408 +01 25 27.91 24.3g 13TO229 W84 C~55Nw 2013 10 13.09473 00 23 20.774 +01 21 33.93 22.4z 13TO229 W84 C~55Nw 2013 10 13.11927 00 23 20.683 +01 21 33.21 22.6i 13TO229 W84 C~55Nw 2016 09 09.29156 00 38 33.120 +02 59 28.03 24.1r 13TO229 W84 C~55Nw 2016 11 08.14512 00 34 38.192 +02 34 38.12 22.4z 13TO229 W84 C~55Nw 2016 11 18.09930 00 34 09.140 +02 31 42.43 23.3i 13TO229 W84 C~55Nw 2016 11 18.10069 00 34 09.124 +02 31 42.45 23.5r 13TO229 W84 C~55Nw 2017 09 27.26238 00 41 41.376 +03 19 27.49 22.8i 13TO229 W84 C~55Nw 2017 09 27.26376 00 41 41.373 +03 19 27.53 23.3r 13TO229 W84 C~55Nw 2017 09 27.26512 00 41 41.365 +03 19 27.47 24.1g 13TO229 W84 C~55Nw 2018 09 09.25958 00 47 12.918 +03 54 46.63 22.9z 13TO229 W84 C~55Nw 2018 11 26.06693 00 42 24.881 +03 24 48.31 23.6r 13TO229 W84 C~55Nw 2018 11 26.06832 00 42 24.861 +03 24 48.43 23.8g 13TO229 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 -0.02 0.00 0.04
2 0.0003 0.00 -0.06 0.00 0.17
3 9.9492 0.00 0.10 0.00 0.10
4 9.9521 0.00 0.12 0.00 -0.27
5 9.9766 0.00 -0.02 0.00 -0.19
6 9.9766 0.00 0.12 0.00 -0.28
7 12.8847 0.00 -0.09 0.00 0.00
8 13.0486 0.00 -0.19 0.00 0.18
9 13.0758 0.00 0.18 0.00 -0.06
10 13.0758 0.00 -0.01 0.00 -0.02
11 13.9332 0.00 -0.02 0.00 -0.01
12 13.9332 0.00 0.02 0.00 0.07
13 13.9332 0.00 -0.01 0.00 0.05
14 14.8832 0.00 0.00 0.00 0.12
15 15.0963 0.00 0.09 0.00 0.00
16 15.0963 0.00 -0.16 0.00 0.14
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.
13TO229 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.101 44.101 44.101 ecceobj 0.033 0.033 0.033 incobj 1.047 1.047 1.047 qmin 41.264 41.264 41.264 qmax 46.690 46.689 46.691 amean 43.885 43.885 43.885 amin 43.539 43.539 43.539 amax 44.232 44.232 44.233 emean 0.040 0.040 0.040 emin 0.023 0.023 0.023 emax 0.056 0.056 0.056 imean 0.892 0.892 0.892 imin 0.084 0.084 0.084 imax 1.414 1.414 1.414 excite_mean 0.043 0.043 0.043 fracstop 1.000 1.000 1.000 cjmean 3.098 3.098 3.098 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 165.4 165.4 165.4 kozaiamp 180.0 180.0 180.0