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: 13TN227 # Created Sun Nov 24 02:09:40 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 28 observations of 28 # Arc: 11.08y # First observation: 2013/10/03 # Last observation: 2024/11/01 # Chi-squared of fit: 21.13 DOF: 50 RMS: 0.15 # Min/Max residuals: -0.23 0.55 # Exact a, adot, b, bdot, g, gdot: 1.524034E-05 2.177300E-02 1.259063E-06 1.292722E-03 2.320968E-02 2.771538E-04 # Covariance matrix: 2.2948E-13 -7.6738E-14 5.2908E-15 -3.6587E-15 3.7473E-14 -2.5443E-13 -7.6738E-14 4.0692E-14 -3.5121E-15 2.2671E-15 -5.6385E-16 1.5807E-13 5.2908E-15 -3.5121E-15 1.3499E-13 -2.0935E-14 -1.4091E-15 -1.5455E-14 -3.6587E-15 2.2671E-15 -2.0935E-14 5.3602E-15 -4.8674E-16 1.0160E-14 3.7473E-14 -5.6385E-16 -1.4091E-15 -4.8674E-16 2.0989E-13 -3.0144E-14 -2.5443E-13 1.5807E-13 -1.5455E-14 1.0160E-14 -3.0144E-14 7.0791E-13 # lat0 lon0 xBary yBary zBary JD0 -4.157058 13.278048 0.062027 -0.072302 -0.996147 2456568.611858 # Heliocentric elements and errors Epoch: 2456568.5000 = 2013/10/03 Mean Anomaly: 146.10515 +/- 0.191 Argument of Peri: 162.59335 +/- 0.187 Long of Asc Node: 63.35257 +/- 0.001 Inclination: 5.28586 +/- 0.000 Eccentricity: 0.01638976 +/- 0.0000 Semi-Major Axis: 43.48666618 +/- 0.0034 Time of Perihelion: 2414058.0583 +/- 55.9 Perihelion: 42.77393005 +/- 0.0040 Aphelion: 44.19940232 +/- 0.0041 Period (y) 286.7757 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 42.80906856 +/- 0.0008 Ecliptic Y 10.04180643 +/- 0.0002 Ecliptic Z -3.12326078 +/- 0.0001 Ecliptic XDOT -0.00055357 +/- 0.0000 Ecliptic YDOT 0.00250839 +/- 0.0000 Ecliptic ZDOT 0.00014986 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 44.08183841 +/- 0.0008 Geocenter to KBO 43.08548914 +/- 0.0009 # Hcoef: 7.23
The following table shows the complete astrometric record for 13TN227. 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 (13TN227) followed by the observatory code and reference code for the source of the astrometry.
2013 10 03.11108 00 55 19.705 +01 24 36.88 24.1g 13TN227 W84 C~52Rd 2013 10 13.18075 00 54 36.133 +01 20 13.57 23.3i 13TN227 W84 C~52Rd 2013 10 13.21154 00 54 35.999 +01 20 12.51 22.9z 13TN227 W84 C~52Rd 2013 11 08.17829 00 52 51.386 +01 10 32.08 23.8r 13TN227 W84 C~52Rd 2013 11 08.19267 00 52 51.344 +01 10 31.90 23.5i 13TN227 W84 C~52Rd 2013 11 23.15191 00 52 03.953 +01 06 47.63 23.2i 13TN227 W84 C~52Rd 2015 11 07.12015 01 01 53.041 +02 16 48.80 23.9r 13TN227 W84 C~52Rd 2016 08 16.39263 01 11 29.648 +03 21 48.45 22.7i 13TN227 W84 C~52Rd 2016 08 26.33235 01 11 05.165 +03 18 42.13 23.5r 13TN227 W84 C~52Rd 2016 08 30.35818 01 10 53.412 +03 17 17.54 23.7g 13TN227 W84 C~52Rd 2016 10 29.19312 01 06 53.356 +02 52 29.24 22.7i 13TN227 W84 C~52Rd 2016 10 29.19449 01 06 53.346 +02 52 29.44 23.3r 13TN227 W84 C~52Rd 2016 11 06.16827 01 06 21.648 +02 49 39.69 23.2r 13TN227 W84 C~52Rd 2016 11 06.16964 01 06 21.644 +02 49 39.76 22.9i 13TN227 W84 C~52Rd 2016 11 06.17102 01 06 21.651 +02 49 39.47 24.0g 13TN227 W84 C~52Rd 2017 08 22.41286 01 15 43.119 +03 52 31.76 23.4i 13TN227 W84 C~52Rd 2017 09 14.32368 01 14 31.281 +03 44 12.14 23.5r 13TN227 W84 C~52Rd 2017 09 14.32506 01 14 31.255 +03 44 12.06 23.4i 13TN227 W84 C~52Rd 2017 09 24.25751 01 13 52.310 +03 40 01.14 23.4z 13TN227 W84 C~52Rd 2018 09 11.32288 01 19 11.545 +04 18 02.91 23.2i 13TN227 W84 C~52Rd 2018 09 11.32425 01 19 11.540 +04 18 03.09 23.6r 13TN227 W84 C~52Rd 2019 11 28.23344 01 18 32.43 +04 21 33.2 25.0g 13TN227 T09 C~8GzL 2019 11 28.23624 01 18 32.41 +04 21 33.5 24.9g 13TN227 T09 C~8GzL 2019 11 28.31654 01 18 32.19 +04 21 32.4 25.5g 13TN227 T09 C~8GzL 2019 11 28.45622 01 18 31.76 +04 21 30.5 25.3g 13TN227 T09 C~8GzL 2024 11 01.26676 01 42 43.492 +07 10 49.78 23.3G 13TN227 G37 2024 11 01.31661 01 42 43.269 +07 10 48.47 13TN227 G37 2024 11 01.36224 01 42 43.062 +07 10 47.54 13TN227 G37
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 -0.10
2 0.0276 0.00 -0.06 0.00 0.14
3 0.0277 0.00 -0.05 0.00 -0.14
4 0.0987 0.00 -0.04 0.00 0.05
5 0.0988 0.00 0.11 0.00 0.13
6 0.1397 0.00 0.01 0.00 -0.00
7 2.0945 0.00 0.09 0.00 0.11
8 2.8700 0.00 0.02 0.00 0.06
9 2.8973 0.00 0.04 0.00 -0.07
10 2.9083 0.00 -0.18 0.00 0.02
11 3.0721 0.00 0.03 0.00 -0.01
12 3.0721 0.00 -0.04 0.00 0.22
13 3.0939 0.00 -0.09 0.00 -0.06
14 3.0939 0.00 -0.07 0.00 0.04
15 3.0939 0.00 0.12 0.00 -0.23
16 3.8858 0.00 0.03 0.00 -0.10
17 3.9486 0.00 0.24 0.00 0.07
18 3.9486 0.00 -0.07 0.00 0.02
19 3.9758 0.00 0.18 0.00 -0.13
20 4.9397 0.00 0.05 0.00 -0.21
21 4.9397 0.00 0.05 0.00 -0.00
22 6.1523 0.00 -0.01 0.00 -0.11
23 6.1523 0.00 -0.18 0.00 0.23
24 6.1525 0.00 0.11 0.00 0.14
25 6.1529 0.00 -0.11 0.00 0.01
26 11.0805 0.00 0.55 0.00 0.19
27 11.0806 0.00 0.49 0.00 0.01
28 11.0808 0.00 0.39 0.00 0.12
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.
13TN227 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.732 43.748 43.716 ecceobj 0.014 0.013 0.014 incobj 5.284 5.284 5.284 qmin 42.046 42.065 42.054 qmax 45.065 45.051 45.067 amean 43.487 43.503 43.472 amin 43.156 43.173 43.137 amax 43.820 43.836 43.808 emean 0.014 0.014 0.014 emin 0.000 0.000 0.000 emax 0.029 0.028 0.029 imean 3.723 3.728 3.719 imin 2.966 2.969 2.954 imax 4.387 4.384 4.384 excite_mean 0.067 0.067 0.067 fracstop 1.000 1.000 1.000 cjmean 3.090 3.090 3.090 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 189.2 188.7 190.1 kozaiamp 180.0 180.0 180.0