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: 13TM229 # Created Wed Dec 4 02:09:42 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 30 observations of 30 # Arc: 5.01y # First observation: 2013/10/13 # Last observation: 2018/10/18 # Chi-squared of fit: 7.20 DOF: 54 RMS: 0.09 # Min/Max residuals: -0.26 0.19 # Exact a, adot, b, bdot, g, gdot: 1.444609E-05 2.004146E-02 1.828147E-07 8.259760E-05 2.226555E-02 -4.300845E-04 # Covariance matrix: 2.6669E-13 -1.4973E-13 -2.1734E-15 -6.9677E-17 1.3511E-13 -7.5327E-13 -1.4973E-13 2.0907E-13 -4.1833E-16 9.6410E-16 2.2400E-14 1.8563E-12 -2.1734E-15 -4.1833E-16 1.5560E-13 -4.2017E-14 -7.0312E-15 -1.7542E-14 -6.9677E-17 9.6410E-16 -4.2017E-14 1.6565E-14 1.4750E-15 1.1933E-14 1.3511E-13 2.2400E-14 -7.0312E-15 1.4750E-15 4.3082E-13 1.0444E-12 -7.5327E-13 1.8563E-12 -1.7542E-14 1.1933E-14 1.0444E-12 1.9503E-11 # lat0 lon0 xBary yBary zBary JD0 -4.305421 11.953817 -0.133881 -0.074082 -0.985600 2456578.680998 # Heliocentric elements and errors Epoch: 2456578.5000 = 2013/10/13 Mean Anomaly: 201.24254 +/- 0.186 Argument of Peri: 74.42738 +/- 0.183 Long of Asc Node: 98.81912 +/- 0.005 Inclination: 4.21981 +/- 0.000 Eccentricity: 0.06126863 +/- 0.0001 Semi-Major Axis: 43.40023321 +/- 0.0049 Time of Perihelion: 2502632.5867 +/- 54.8 Perihelion: 40.74116044 +/- 0.0067 Aphelion: 46.05930598 +/- 0.0071 Period (y) 285.9212 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 44.75309218 +/- 0.0013 Ecliptic Y 9.61491171 +/- 0.0003 Ecliptic Z -3.37174398 +/- 0.0001 Ecliptic XDOT -0.00056744 +/- 0.0000 Ecliptic YDOT 0.00239872 +/- 0.0000 Ecliptic ZDOT 0.00001424 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 45.89831887 +/- 0.0013 Geocenter to KBO 44.91248315 +/- 0.0013 # Hcoef: 6.55
The following table shows the complete astrometric record for 13TM229. 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 (13TM229) followed by the observatory code and reference code for the source of the astrometry.
2013 10 13.180220 00 50 41.39 +00 45 38.9 22.9i 13TM229 W84 C~55Nv 2013 10 13.211007 00 50 41.26 +00 45 38.2 22.4z 13TM229 W84 C~55Nv 2013 11 23.12320 00 48 16.663 +00 32 29.26 23.7g 13TM229 W84 C~55Nv 2013 11 23.125475 00 48 16.65 +00 32 29.3 23.1r 13TM229 W84 C~55Nv 2013 11 23.126840 00 48 16.65 +00 32 29.2 23.1i 13TM229 W84 C~55Nv 2013 11 23.151389 00 48 16.58 +00 32 29.1 23.3i 13TM229 W84 C~55Nv 2014 10 27.22247 00 53 58.910 +01 07 12.54 23.8r 13TM229 W84 C~55Nv 2014 10 29.21054 00 53 51.214 +01 06 29.15 23.3r 13TM229 W84 C~55Nv 2014 10 29.211366 00 53 51.21 +01 06 29.1 22.7i 13TM229 W84 C~55Nv 2014 11 13.13537 00 52 58.128 +01 01 44.15 23.6r 13TM229 W84 C~55Nv 2014 11 15.071389 00 52 51.97 +01 01 13.4 22.6z 13TM229 W84 C~55Nv 2014 11 17.064907 00 52 45.85 +01 00 43.6 22.5z 13TM229 W84 C~55Nv 2016 08 16.39537 01 06 43.733 +02 29 48.25 22.8i 13TM229 W84 C~55Nv 2016 08 16.39674 01 06 43.743 +02 29 48.13 22.7z 13TM229 W84 C~55Nv 2016 10 29.18898 01 02 15.478 +02 00 14.69 23.1i 13TM229 W84 C~55Nv 2016 10 29.19036 01 02 15.480 +02 00 14.66 23.4r 13TM229 W84 C~55Nv 2016 10 29.19174 01 02 15.465 +02 00 14.70 23.5g 13TM229 W84 C~55Nv 2016 11 08.12026 01 01 38.273 +01 56 52.06 23.0z 13TM229 W84 C~55Nv 2017 08 22.34106 01 10 42.850 +02 54 45.14 23.0i 13TM229 W84 C~55Nw 2017 08 22.34244 01 10 42.843 +02 54 45.01 23.4r 13TM229 W84 C~55Nw 2017 08 22.34382 01 10 42.831 +02 54 45.03 23.9g 13TM229 W84 C~55Nw 2017 09 14.31955 01 09 31.816 +02 46 06.31 22.2z 13TM229 W84 C~55Nw 2017 09 18.28318 01 09 17.080 +02 44 26.14 22.9i 13TM229 W84 C~55Nw 2017 09 18.28456 01 09 17.079 +02 44 26.09 23.3r 13TM229 W84 C~55Nw 2017 09 18.28594 01 09 17.069 +02 44 26.20 23.2g 13TM229 W84 C~55Nw 2017 09 27.23909 01 08 41.913 +02 40 34.29 23.0z 13TM229 W84 C~55Nw 2018 09 11.33485 01 13 57.306 +03 14 17.77 22.8r 13TM229 W84 C~55Nw 2018 09 14.33193 01 13 46.719 +03 13 04.76 22.8i 13TM229 W84 C~55Nw 2018 09 14.33330 01 13 46.710 +03 13 04.87 24.3g 13TM229 W84 C~55Nw 2018 10 18.20169 01 11 30.189 +02 58 38.52 22.5z 13TM229 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 -0.03 0.00 -0.04
2 0.0001 0.00 -0.04 0.00 0.03
3 0.1121 0.00 0.12 0.00 -0.06
4 0.1121 0.00 0.01 0.00 0.00
5 0.1121 0.00 0.07 0.00 -0.08
6 0.1122 0.00 -0.02 0.00 0.10
7 1.0378 0.00 -0.05 0.00 -0.09
8 1.0432 0.00 0.06 0.00 0.09
9 1.0432 0.00 0.05 0.00 0.05
10 1.0841 0.00 0.13 0.00 -0.03
11 1.0894 0.00 -0.17 0.00 -0.02
12 1.0948 0.00 -0.26 0.00 0.19
13 2.8425 0.00 -0.04 0.00 0.02
14 2.8425 0.00 0.15 0.00 -0.07
15 3.0445 0.00 0.01 0.00 -0.08
16 3.0445 0.00 0.12 0.00 -0.08
17 3.0445 0.00 -0.02 0.00 -0.01
18 3.0717 0.00 0.14 0.00 -0.07
19 3.8581 0.00 0.12 0.00 0.09
20 3.8581 0.00 0.07 0.00 -0.01
21 3.8581 0.00 -0.06 0.00 0.04
22 3.9210 0.00 -0.17 0.00 0.01
23 3.9318 0.00 -0.03 0.00 -0.02
24 3.9318 0.00 0.03 0.00 -0.04
25 3.9318 0.00 -0.04 0.00 0.11
26 3.9564 0.00 0.00 0.00 -0.01
27 4.9121 0.00 -0.11 0.00 -0.11
28 4.9203 0.00 0.05 0.00 0.02
29 4.9203 0.00 -0.01 0.00 0.16
30 5.0131 0.00 0.07 0.00 -0.03
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.
13TM229 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.637 43.637 43.637 ecceobj 0.055 0.055 0.055 incobj 4.221 4.221 4.221 qmin 39.877 39.876 39.877 qmax 47.150 47.150 47.149 amean 43.405 43.405 43.405 amin 43.066 43.066 43.066 amax 43.762 43.764 43.761 emean 0.059 0.059 0.059 emin 0.041 0.041 0.041 emax 0.078 0.078 0.078 imean 2.529 2.529 2.529 imin 1.662 1.662 1.662 imax 3.354 3.354 3.354 excite_mean 0.074 0.074 0.074 fracstop 1.000 1.000 1.000 cjmean 3.088 3.088 3.088 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 192.3 192.3 192.3 kozaiamp 180.0 180.0 180.0