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: 13RT124 # Created Tue Jan 21 02:09:42 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 26 observations of 26 # Arc: 11.21y # First observation: 2013/09/10 # Last observation: 2024/11/24 # Chi-squared of fit: 7.92 DOF: 46 RMS: 0.10 # Min/Max residuals: -0.20 0.31 # Exact a, adot, b, bdot, g, gdot: 1.885996E-05 3.378681E-02 4.598735E-06 8.664773E-03 2.803501E-02 2.461111E-03 # Covariance matrix: 2.2116E-13 -5.8717E-14 1.3857E-14 -1.6105E-14 1.5875E-13 -1.6271E-13 -5.8717E-14 5.4149E-14 -1.3161E-14 1.3963E-14 3.2316E-15 1.4407E-13 1.3857E-14 -1.3161E-14 9.3510E-14 -1.6425E-14 2.0221E-15 -3.8920E-14 -1.6105E-14 1.3963E-14 -1.6425E-14 8.8524E-15 -4.7207E-15 4.1741E-14 1.5875E-13 3.2316E-15 2.0221E-15 -4.7207E-15 2.9696E-13 -4.2347E-14 -1.6271E-13 1.4407E-13 -3.8920E-14 4.1741E-14 -4.2347E-14 4.2957E-13 # lat0 lon0 xBary yBary zBary JD0 -11.922341 11.723756 0.414764 -0.189651 -0.898696 2456545.793558 # Heliocentric elements and errors Epoch: 2456546.5000 = 2013/09/11 Mean Anomaly: 3.81981 +/- 0.001 Argument of Peri: 309.00064 +/- 0.003 Long of Asc Node: 49.59205 +/- 0.000 Inclination: 18.27593 +/- 0.000 Eccentricity: 0.44381724 +/- 0.0001 Semi-Major Axis: 65.38156255 +/- 0.0113 Time of Perihelion: 2454497.6012 +/- 0.9 Perihelion: 36.36409816 +/- 0.0085 Aphelion: 94.39902694 +/- 0.0173 Period (y) 528.6779 +/- 0.14 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 35.15537624 +/- 0.0007 Ecliptic Y 6.87514854 +/- 0.0001 Ecliptic Z -7.36870672 +/- 0.0001 Ecliptic XDOT -0.00027521 +/- 0.0000 Ecliptic YDOT 0.00331287 +/- 0.0000 Ecliptic ZDOT 0.00077842 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 36.57134072 +/- 0.0006 Geocenter to KBO 35.66966723 +/- 0.0007 # Hcoef: 7.67
The following table shows the complete astrometric record for 13RT124. 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 (13RT124) followed by the observatory code and reference code for the source of the astrometry.
2013 09 10.29278 01 01 45.309 -06 20 29.89 24.8g 13RT124 W84 C~4yQt 2013 09 10.29417 01 01 45.30 -06 20 30.0 23.4r 13RT124 W84 C~3clA 2013 09 10.33650 01 01 45.122 -06 20 31.27 22.9i 13RT124 W84 C~4yQt 2013 09 11.28057 01 01 40.993 -06 21 00.58 23.8r 13RT124 W84 C~4yQt 2013 10 04.22289 00 59 50.306 -06 32 17.87 23.3r 13RT124 W84 C~4yQt 2013 10 13.18678 00 59 04.394 -06 36 04.49 22.9z 13RT124 W84 C~4yQt 2013 10 13.19707 00 59 04.330 -06 36 04.92 22.8i 13RT124 W84 C~4yQt 2013 11 05.03102 00 57 13.52 -06 42 47.3 23.5r 13RT124 W84 C~3clA 2013 11 05.06907 00 57 13.35 -06 42 47.6 13RT124 W84 C~3clA 2013 11 05.16374 00 57 12.92 -06 42 48.7 13RT124 W84 C~3clA 2014 11 17.15683 01 02 45.692 -05 31 56.06 22.6i 13RT124 W84 C~4yQt 2014 11 17.16716 01 02 45.659 -05 31 56.26 23.1r 13RT124 W84 C~4yQt 2014 11 18.17122 01 02 41.846 -05 32 00.26 23.4r 13RT124 W84 C~4yQt 2014 11 21.03813 01 02 31.396 -05 32 08.34 22.8z 13RT124 W84 C~4yQt 2015 11 02.11475 01 10 09.559 -04 17 01.48 23.8r 13RT124 W84 C~4yQt 2016 08 25.40677 01 21 32.739 -02 35 36.64 23.4i 13RT124 W84 C~4yQt 2016 08 26.30350 01 21 30.085 -02 35 59.96 23.6r 13RT124 W84 C~4yQt 2016 10 21.22498 01 17 19.729 -03 01 10.67 22.7z 13RT124 W84 C~4yQt 2016 10 29.24536 01 16 39.755 -03 03 49.98 22.7r 13RT124 W84 C~4yQt 2016 11 05.14101 01 16 06.877 -03 05 41.57 22.9i 13RT124 W84 C~4yQt 2016 11 05.22427 01 16 06.510 -03 05 42.75 22.9z 13RT124 W84 C~4yQt 2017 09 18.27179 01 26 14.891 -01 34 31.91 23.6g 13RT124 W84 C~4yQt 2017 09 24.25475 01 25 47.782 -01 37 19.98 23.0r 13RT124 W84 C~4yQt 2024 11 24.127410 02 03 03.165 +06 09 46.44 23.3G 13RT124 G37 C~8SOz 2024 11 24.171110 02 03 02.987 +06 09 45.76 13RT124 G37 C~8SOz 2024 11 24.214510 02 03 02.795 +06 09 45.24 13RT124 G37 C~8SOz
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 0.01 0.00 0.07
2 0.0000 0.00 -0.03 0.00 0.00
3 0.0001 0.00 0.11 0.00 0.04
4 0.0027 0.00 -0.05 0.00 0.00
5 0.0655 0.00 0.00 0.00 -0.00
6 0.0901 0.00 0.00 0.00 -0.01
7 0.0901 0.00 -0.16 0.00 -0.20
8 0.1526 0.00 -0.07 0.00 -0.02
9 0.1527 0.00 -0.04 0.00 0.10
10 0.1530 0.00 -0.08 0.00 0.03
11 1.1851 0.00 0.05 0.00 0.20
12 1.1851 0.00 0.16 0.00 0.04
13 1.1879 0.00 -0.03 0.00 0.16
14 1.1957 0.00 -0.03 0.00 -0.06
15 2.1432 0.00 0.07 0.00 -0.09
16 2.9572 0.00 0.08 0.00 0.10
17 2.9596 0.00 0.13 0.00 -0.03
18 3.1128 0.00 -0.03 0.00 -0.16
19 3.1347 0.00 -0.02 0.00 -0.09
20 3.1536 0.00 -0.08 0.00 0.03
21 3.1538 0.00 0.31 0.00 0.03
22 4.0218 0.00 -0.15 0.00 -0.16
23 4.0382 0.00 -0.03 0.00 -0.00
24 11.2056 0.00 -0.15 0.00 0.13
25 11.2057 0.00 0.05 0.00 -0.02
26 11.2058 0.00 0.03 0.00 -0.02
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.
13RT124 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 66.071 66.070 66.071 ecceobj 0.450 0.450 0.450 incobj 18.270 18.270 18.270 qmin 35.686 35.688 35.687 qmax 96.573 96.650 96.586 amean 65.383 65.383 65.383 amin 64.556 64.561 64.561 amax 66.485 66.535 66.490 emean 0.443 0.443 0.443 emin 0.434 0.434 0.434 emax 0.454 0.454 0.454 imean 17.436 17.435 17.437 imin 17.166 17.169 17.167 imax 17.665 17.668 17.659 excite_mean 0.535 0.535 0.535 fracstop 1.000 1.000 1.000 cjmean 2.981 2.981 2.981 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 173.0 173.1 173.1 kozaiamp 180.0 180.0 180.0