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: 13TM187 # Created Fri Nov 22 02:09:41 2024 # Orbit generated from Bernstein formalism # Fitting 27 observations of 28 # Arc: 3.94y # First observation: 2013/10/13 # Last observation: 2017/08/22 Preliminary a, adot, b, bdot, g, gdot: -0.000425 0.038302 0.000035 0.006550 0.031882 0.000000 # Chi-squared of fit: 6.95 DOF: 48 RMS: 0.09 # Min/Max residuals: -0.25 0.21 # Exact a, adot, b, bdot, g, gdot: 1.573236E-05 3.842393E-02 4.338136E-06 6.592897E-03 3.269347E-02 2.113273E-03 # Covariance matrix: 5.5604E-13 -1.8141E-13 8.0803E-15 -9.0801E-15 2.0108E-13 -2.9104E-13 -1.8141E-13 5.7644E-13 -6.7367E-14 1.0283E-13 5.6643E-13 3.8697E-12 8.0803E-15 -6.7367E-14 3.6387E-13 -1.3190E-13 -7.1901E-14 -4.9223E-13 -9.0801E-15 1.0283E-13 -1.3190E-13 6.6957E-14 1.1427E-13 7.5418E-13 2.0108E-13 5.6643E-13 -7.1901E-14 1.1427E-13 9.7749E-13 4.3702E-12 -2.9104E-13 3.8697E-12 -4.9223E-13 7.5418E-13 4.3702E-12 2.8424E-11 # lat0 lon0 xBary yBary zBary JD0 -7.445866 16.453114 0.457722 -0.116157 -0.889593 2456547.852188 # Heliocentric elements and errors Epoch: 2456540.5000 = 2013/09/05 Mean Anomaly: 13.33644 +/- 0.046 Argument of Peri: 304.80092 +/- 0.063 Long of Asc Node: 52.28248 +/- 0.001 Inclination: 11.99970 +/- 0.000 Eccentricity: 0.14259545 +/- 0.0001 Semi-Major Axis: 36.49372880 +/- 0.0037 Time of Perihelion: 2453557.4325 +/- 10.3 Perihelion: 31.28988926 +/- 0.0039 Aphelion: 41.69756834 +/- 0.0048 Period (y) 220.4629 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 30.07692780 +/- 0.0009 Ecliptic Y 8.40822083 +/- 0.0003 Ecliptic Z -3.96366617 +/- 0.0001 Ecliptic XDOT -0.00068063 +/- 0.0000 Ecliptic YDOT 0.00315476 +/- 0.0000 Ecliptic ZDOT 0.00052466 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 31.48063552 +/- 0.0008 Geocenter to KBO 30.58714958 +/- 0.0009 # Hcoef: 8.26
The following table shows the complete astrometric record for 13TM187. 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 (13TM187) followed by the observatory code and reference code for the source of the astrometry.
2013 09 12.35141 01 12 02.986 -00 24 41.67 24.3g 13TM187 W84 C~4yRD 2013 10 13.22103 01 09 09.211 -00 42 05.67 22.5i 13TM187 W84 C~4yRD 2013 10 13.22103 01 09 09.21 -00 42 05.7 22.6i 13TM187 W84 C~3clQ 2014 10 02.28688 01 17 49.792 +00 35 25.86 24.6g 13TM187 W84 C~4yRD 2014 10 21.25662 01 15 57.663 +00 25 21.85 23.3r 13TM187 W84 C~4yRD 2014 10 21.25662 01 15 57.66 +00 25 21.8 23.3r 13TM187 W84 C~3clQ 2014 11 28.11463 01 12 46.368 +00 13 01.87 23.0z 13TM187 W84 C~4yRD 2015 10 17.17241 01 23 56.148 +01 38 37.02 22.8r 13TM187 W84 C~4yRD 2015 10 17.17241 01 23 56.15 +01 38 37.0 22.9r 13TM187 W84 C~3clQ 2015 11 06.19330 01 22 00.213 +01 29 29.89 22.7i 13TM187 W84 C~4yRD 2015 11 06.19330 01 22 00.21 +01 29 29.9 22.7i 13TM187 W84 C~3clQ 2016 08 15.42460 01 36 09.588 +03 19 06.99 23.2i 13TM187 W84 C~4yRD 2016 08 16.37872 01 36 07.629 +03 18 48.52 22.9z 13TM187 W84 C~4yRD 2016 10 23.23279 01 30 46.889 +02 45 54.34 23.0r 13TM187 W84 C~4yRD 2016 10 23.23279 01 30 46.89 +02 45 54.3 23.1r 13TM187 W84 C~3clQ 2016 10 28.16742 01 30 17.779 +02 43 34.84 23.5i 13TM187 W84 C~4yRD 2016 10 28.16742 01 30 17.78 +02 43 34.9 23.4i 13TM187 W84 C~3clQ 2016 10 28.16880 01 30 17.774 +02 43 34.87 23.6g 13TM187 W84 C~4yRD 2016 10 28.16880 01 30 17.77 +02 43 34.9 23.7g 13TM187 W84 C~3clQ 2016 11 05.15481 01 29 32.027 +02 40 09.48 22.8i 13TM187 W84 C~4yRD 2016 11 05.15481 01 29 32.03 +02 40 09.5 23.0i 13TM187 W84 C~3clQ 2016 11 05.15619 01 29 32.016 +02 40 09.39 23.2r 13TM187 W84 C~4yRD 2016 11 05.15619 01 29 32.02 +02 40 09.4 23.4r 13TM187 W84 C~3clQ 2016 11 05.19071 01 29 31.834 +02 40 08.64 22.9z 13TM187 W84 C~4yRD 2016 11 05.19071 01 29 31.83 +02 40 08.7 22.9z 13TM187 W84 C~3clQ 2017 08 22.38370 01 43 18.072 +04 25 53.59 22.5i 13TM187 W84 C~4yRD 2017 08 22.38506 01 43 18.072 +04 25 53.43 23.3r 13TM187 W84 C~4yRD 2017 08 22.38645 01 43 18.060 +04 25 53.16 24.1g 13TM187 W84 C~4yRD
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 ( 0.59) 0.00 ( -0.24)
2 0.0845 -2807.85 0.00 29.16 -0.02
3 0.0845 -2807.83 0.03 29.18 -0.00
4 1.0539 6186.82 0.18 1350.45 -0.03
5 1.1058 4400.44 -0.12 1433.56 -0.02
6 1.1058 4400.50 -0.06 1433.59 0.01
7 1.2095 1465.12 -0.00 1844.17 -0.04
8 2.0940 12726.41 0.13 2763.73 -0.03
9 2.0940 12726.39 0.11 2763.76 0.00
10 2.1488 10904.57 -0.18 2919.92 0.05
11 2.1488 10904.61 -0.14 2919.89 0.02
12 2.9242 25296.85 -0.12 4179.60 -0.02
13 2.9268 25262.18 -0.04 4173.54 -0.16
14 3.1126 20004.19 0.05 4164.48 0.17
15 3.1126 20004.20 0.06 4164.52 0.21
16 3.1261 19543.54 0.03 4201.00 -0.03
17 3.1261 19543.50 -0.00 4200.95 -0.08
18 3.1261 19543.40 0.02 4201.06 0.02
19 3.1261 19543.44 0.07 4201.01 -0.03
20 3.1480 18825.18 -0.00 4271.20 0.05
21 3.1480 18825.13 -0.05 4271.19 0.05
22 3.1480 18825.00 -0.06 4271.16 0.00
23 3.1480 18824.94 -0.12 4271.17 0.02
24 3.1481 18822.08 0.08 4271.59 0.09
25 3.1481 18822.11 0.11 4271.51 0.01
26 3.9426 32901.44 0.08 5490.23 0.07
27 3.9426 32901.38 0.08 5490.08 -0.07
28 3.9426 32901.10 -0.14 5489.89 -0.25
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.
13TM187 quality flag:3 Type: 4:3E 4:3E 4:3E axisobj 36.683 36.694 36.673 ecceobj 0.148 0.148 0.148 incobj 11.996 11.996 11.996 qmin 30.309 30.316 30.304 qmax 43.041 43.056 43.122 amean 36.477 36.477 36.477 amin 36.131 36.123 36.138 amax 36.864 36.859 36.868 emean 0.144 0.144 0.144 emin 0.113 0.113 0.113 emax 0.168 0.169 0.170 imean 9.761 9.796 9.813 imin 8.041 8.073 8.096 imax 11.582 11.582 11.581 excite_mean 0.223 0.223 0.223 fracstop 1.000 1.000 1.000 cjmean 2.972 2.971 2.971 libcent 0 178.9 180.2 178.3 libamp 0 61.5 60.8 61.4 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 180.4 179.5 179.6 kozaiamp 180.0 180.0 180.0