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: 13TM172 # Created Fri May 3 01:15:21 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 31 observations of 31 # Arc: 7.02y # First observation: 2013/10/13 # Last observation: 2020/10/20 # Chi-squared of fit: 16.62 DOF: 56 RMS: 0.13 # Min/Max residuals: -0.38 0.30 # Exact a, adot, b, bdot, g, gdot: 1.880912E-05 3.477238E-02 4.763474E-06 7.574797E-03 2.815089E-02 -1.293715E-03 # Covariance matrix: 1.9661E-13 -9.5405E-14 1.3323E-14 -1.4728E-14 3.2706E-14 -2.8902E-13 -9.5405E-14 8.5992E-14 -1.5672E-14 1.6809E-14 2.6788E-14 3.2856E-13 1.3323E-14 -1.5672E-14 1.3134E-13 -3.2820E-14 -8.0475E-15 -6.8497E-14 -1.4728E-14 1.6809E-14 -3.2820E-14 1.4585E-14 6.2706E-15 7.3473E-14 3.2706E-14 2.6788E-14 -8.0475E-15 6.2706E-15 3.1258E-13 1.1642E-13 -2.8902E-13 3.2856E-13 -6.8497E-14 7.3473E-14 1.1642E-13 1.4362E-12 # lat0 lon0 xBary yBary zBary JD0 -2.814239 2.034442 -0.300819 -0.046579 -0.949842 2456578.601098 # Heliocentric elements and errors Epoch: 2456578.5000 = 2013/10/13 Mean Anomaly: 358.36686 +/- 0.002 Argument of Peri: 352.61410 +/- 0.006 Long of Asc Node: 14.86826 +/- 0.000 Inclination: 12.60980 +/- 0.000 Eccentricity: 0.47838205 +/- 0.0001 Semi-Major Axis: 69.82845478 +/- 0.0129 Time of Perihelion: 2457545.3726 +/- 58.7 Perihelion: 36.42377575 +/- 0.0090 Aphelion: 103.23313381 +/- 0.0200 Period (y) 583.5215 +/- 0.16 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 36.39684383 +/- 0.0007 Ecliptic Y 1.59703487 +/- 0.0000 Ecliptic Z -1.74396231 +/- 0.0000 Ecliptic XDOT -0.00021567 +/- 0.0000 Ecliptic YDOT 0.00337508 +/- 0.0000 Ecliptic ZDOT 0.00074213 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 36.47360279 +/- 0.0007 Geocenter to KBO 35.52292285 +/- 0.0007 # Hcoef: 7.69
The following table shows the complete astrometric record for 13TM172. 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 (13TM172) followed by the observatory code and reference code for the source of the astrometry.
2013 10 13.10032 00 11 56.566 -01 46 23.34 22.9z 13TM172 W84 C~4yR9 2013 10 13.132442 00 11 56.40 -01 46 24.1 23.0i 13TM172 W84 C~35ba 2013 10 13.13297 00 11 56.403 -01 46 24.12 23.4i 13TM172 W84 C~4yR9 2013 11 22.11198 00 09 29.601 -01 57 03.32 23.7r 13TM172 W84 C~4yR9 2013 11 22.112824 00 09 29.58 -01 57 03.4 23.0i 13TM172 W84 C~35ba 2013 11 22.11335 00 09 29.597 -01 57 03.61 23.1i 13TM172 W84 C~4yR9 2014 10 02.249375 00 19 28.70 -00 29 59.7 22.9r 13TM172 W84 C~35ba 2014 10 02.24991 00 19 28.700 -00 29 59.66 22.9r 13TM172 W84 C~4yR9 2014 10 28.194873 00 17 26.45 -00 40 33.6 23.4r 13TM172 W84 C~35ba 2014 10 28.19540 00 17 26.455 -00 40 33.68 23.8r 13TM172 W84 C~4yR9 2014 11 17.02911 00 16 16.002 -00 45 39.96 23.0z 13TM172 W84 C~4yR9 2015 10 17.15966 00 24 54.222 +00 35 13.59 24.1r 13TM172 W84 C~4yR9 2015 11 02.09796 00 23 43.374 +00 29 16.63 23.0r 13TM172 W84 C~4yR9 2016 09 09.324167 00 34 34.25 +02 03 29.3 23.1i 13TM172 W84 C~35ba 2016 09 09.32469 00 34 34.254 +02 03 29.16 23.1i 13TM172 W84 C~4yR9 2016 09 09.325544 00 34 34.27 +02 03 29.2 23.3r 13TM172 W84 C~35ba 2016 09 09.32608 00 34 34.269 +02 03 29.12 23.1r 13TM172 W84 C~4yR9 2016 10 02.18440 00 32 42.565 +01 53 09.82 23.0i 13TM172 W84 C~4yR9 2016 11 08.140961 00 29 52.73 +01 38 29.0 22.6z 13TM172 W84 C~35ba 2016 11 28.100694 00 28 53.62 +01 34 23.6 23.4r 13TM172 W84 C~35ba 2016 11 28.10122 00 28 53.627 +01 34 23.63 23.1r 13TM172 W84 C~4yR9 2016 11 30.088137 00 28 49.61 +01 34 12.0 23.0i 13TM172 W84 C~35ba 2016 11 30.08866 00 28 49.612 +01 34 11.75 23.3i 13TM172 W84 C~4yR9 2016 11 30.09967 00 28 49.589 +01 34 11.72 23.9g 13TM172 W84 C~4yR9 2017 10 29.13483 00 37 11.343 +02 53 13.09 22.9z 13TM172 W84 C~4yR9 2018 09 09.25958 00 47 52.871 +04 26 09.39 22.9z 13TM172 W84 C~4yR9 2018 11 26.06693 00 42 07.035 +03 56 04.92 23.3r 13TM172 W84 C~4yR9 2018 11 26.06832 00 42 07.035 +03 56 05.05 23.6g 13TM172 W84 C~4yR9 2020 10 20.129100 00 57 50.091 +06 29 34.24 23.0G 13TM172 G37 C~4Kw0 2020 10 20.177130 00 57 49.841 +06 29 33.06 13TM172 G37 C~4Kw0 2020 10 20.233290 00 57 49.566 +06 29 31.52 13TM172 G37 C~4Kw0
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 0.18 0.00 -0.04
2 0.0001 0.00 0.02 0.00 -0.01
3 0.0001 0.00 0.11 0.00 -0.02
4 0.1095 0.00 0.02 0.00 0.17
5 0.1095 0.00 -0.26 0.00 0.09
6 0.1095 0.00 0.01 0.00 -0.12
7 0.9696 0.00 0.03 0.00 0.00
8 0.9696 0.00 0.07 0.00 0.06
9 1.0406 0.00 -0.01 0.00 -0.16
10 1.0406 0.00 0.10 0.00 -0.23
11 1.0949 0.00 0.10 0.00 -0.29
12 2.0097 0.00 0.01 0.00 -0.02
13 2.0534 0.00 0.13 0.00 -0.01
14 2.9082 0.00 -0.38 0.00 0.30
15 2.9082 0.00 -0.29 0.00 0.17
16 2.9082 0.00 0.01 0.00 0.24
17 2.9082 0.00 0.04 0.00 0.17
18 2.9708 0.00 -0.15 0.00 -0.06
19 3.0720 0.00 0.17 0.00 0.02
20 3.1266 0.00 -0.03 0.00 -0.07
21 3.1266 0.00 0.10 0.00 -0.04
22 3.1321 0.00 -0.05 0.00 0.17
23 3.1321 0.00 -0.01 0.00 -0.08
24 3.1321 0.00 -0.02 0.00 -0.05
25 4.0439 0.00 -0.05 0.00 0.00
26 4.9067 0.00 0.18 0.00 0.06
27 5.1197 0.00 -0.02 0.00 -0.03
28 5.1197 0.00 0.04 0.00 0.12
29 7.0199 0.00 0.08 0.00 -0.13
30 7.0201 0.00 -0.04 0.00 -0.05
31 7.0202 0.00 0.08 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.
13TM172 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 70.621 70.620 70.621 ecceobj 0.484 0.484 0.484 incobj 12.584 12.584 12.584 qmin 35.028 35.107 35.097 qmax 106.320 106.183 106.309 amean 69.410 69.377 69.403 amin 68.166 68.055 68.122 amax 71.063 71.104 71.067 emean 0.481 0.478 0.479 emin 0.463 0.462 0.461 emax 0.498 0.496 0.497 imean 11.867 11.900 12.055 imin 11.014 10.723 11.091 imax 12.868 12.877 13.203 excite_mean 0.523 0.521 0.523 fracstop 1.000 1.000 1.000 cjmean 3.039 3.042 3.040 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 166.7 178.1 163.1 kozaiamp 180.0 180.0 180.0