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: 13RT128 # Created Fri Apr 26 01:14:54 2024 # Orbit generated from Bernstein formalism # Fitting 35 observations of 35 # Arc: 4.02y # First observation: 2013/09/10 # Last observation: 2017/09/18 Preliminary a, adot, b, bdot, g, gdot: -0.000021 0.020952 0.000001 0.008515 0.024078 0.000000 # Chi-squared of fit: 13.33 DOF: 64 RMS: 0.11 # Min/Max residuals: -0.35 0.33 # Exact a, adot, b, bdot, g, gdot: 1.367328E-05 2.110746E-02 5.704141E-06 8.590625E-03 2.423573E-02 2.397120E-03 # Covariance matrix: 1.3580E-13 4.6979E-14 -5.4377E-15 3.1239E-14 1.8018E-13 9.9558E-13 4.6979E-14 3.6629E-13 -2.6217E-14 1.4867E-13 5.3023E-13 4.6861E-12 -5.4377E-15 -2.6217E-14 9.8814E-14 -3.9727E-14 -3.8977E-14 -3.4987E-13 3.1239E-14 1.4867E-13 -3.9727E-14 7.7975E-14 2.2221E-13 1.9839E-12 1.8018E-13 5.3023E-13 -3.8977E-14 2.2221E-13 9.9288E-13 7.0357E-12 9.9558E-13 4.6861E-12 -3.4987E-13 1.9839E-12 7.0357E-12 6.2524E-11 # lat0 lon0 xBary yBary zBary JD0 -10.472034 9.496900 0.378159 -0.169686 -0.918596 2456545.830848 # Heliocentric elements and errors Epoch: 2456540.5000 = 2013/09/05 Mean Anomaly: 110.06333 +/- 0.074 Argument of Peri: 213.33389 +/- 0.073 Long of Asc Node: 32.73752 +/- 0.000 Inclination: 24.15262 +/- 0.000 Eccentricity: 0.10582184 +/- 0.0003 Semi-Major Axis: 40.34065913 +/- 0.0029 Time of Perihelion: 2427928.1818 +/- 19.0 Perihelion: 36.07173638 +/- 0.0123 Aphelion: 44.60958189 +/- 0.0125 Period (y) 256.2257 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 41.00142751 +/- 0.0016 Ecliptic Y 6.47868306 +/- 0.0003 Ecliptic Z -7.49927994 +/- 0.0003 Ecliptic XDOT 0.00003701 +/- 0.0000 Ecliptic YDOT 0.00242366 +/- 0.0000 Ecliptic ZDOT 0.00090522 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.18210037 +/- 0.0016 Geocenter to KBO 41.26139110 +/- 0.0017 # Hcoef: 7.29
The following table shows the complete astrometric record for 13RT128. 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 (13RT128) followed by the observatory code and reference code for the source of the astrometry.
2013 09 10.33007 00 51 22.889 -05 52 01.22 24.0g 13RT128 W84 C~4yQt 2013 09 10.330076 00 51 22.891 -05 52 01.19 24.0g 13RT128 W84 C~3wor 2013 09 10.33147 00 51 22.871 -05 52 01.08 23.5r 13RT128 W84 C~4yQt 2013 09 10.332853 00 51 22.884 -05 52 01.30 23.2i 13RT128 W84 C~3wor 2013 09 10.33286 00 51 22.881 -05 52 01.29 23.9i 13RT128 W84 C~4yQt 2013 09 11.26224 00 51 19.018 -05 52 26.59 24.1g 13RT128 W84 C~4yQt 2013 09 29.216557 00 49 58.714 -06 00 24.98 23.9g 13RT128 W84 C~3wor 2013 09 29.21656 00 49 58.714 -06 00 24.95 23.8g 13RT128 W84 C~4yQt 2013 09 29.217946 00 49 58.712 -06 00 24.96 23.4r 13RT128 W84 C~3wor 2013 09 29.21795 00 49 58.712 -06 00 24.95 23.4r 13RT128 W84 C~4yQt 2013 09 29.219323 00 49 58.700 -06 00 25.07 23.2i 13RT128 W84 C~3wor 2013 09 29.21933 00 49 58.703 -06 00 25.08 23.1i 13RT128 W84 C~4yQt 2013 10 02.266383 00 49 44.433 -06 01 41.21 23.4r 13RT128 W84 C~3wor 2013 11 08.08722 00 47 00.508 -06 12 35.75 23.0z 13RT128 W84 C~4yQt 2014 10 03.30184 00 53 21.781 -05 06 19.36 23.3r 13RT128 W84 C~4yQt 2014 10 03.30321 00 53 21.770 -05 06 19.53 22.8i 13RT128 W84 C~4yQt 2015 12 05.08831 00 52 57.115 -04 23 29.94 23.2r 13RT128 W84 C~4yQt 2015 12 05.088316 00 52 57.123 -04 23 29.90 23.6r 13RT128 W84 C~3wor 2016 09 01.38668 01 02 51.368 -03 02 04.80 24.2g 13RT128 W84 C~4yQt 2016 10 29.231569 00 58 36.924 -03 24 45.05 23.2i 13RT128 W84 C~3wor 2016 10 29.23157 00 58 36.926 -03 24 45.06 23.4i 13RT128 W84 C~4yQt 2016 11 06.20939 00 58 03.370 -03 26 40.18 23.0i 13RT128 W84 C~4yQt 2016 11 06.209393 00 58 03.372 -03 26 40.15 23.2i 13RT128 W84 C~3wor 2016 11 06.210770 00 58 03.365 -03 26 40.19 23.6r 13RT128 W84 C~3wor 2016 11 06.21077 00 58 03.362 -03 26 40.15 24.0r 13RT128 W84 C~4yQt 2016 11 07.203444 00 57 59.363 -03 26 52.40 23.8g 13RT128 W84 C~3wor 2016 11 07.20345 00 57 59.366 -03 26 52.36 24.7g 13RT128 W84 C~4yQt 2017 08 28.36267 01 06 40.694 -02 05 28.74 23.9r 13RT128 W84 C~4yQt 2017 08 28.362680 01 06 40.693 -02 05 28.75 23.7r 13RT128 W84 C~3wor 2017 08 28.36404 01 06 40.663 -02 05 28.80 23.1i 13RT128 W84 C~4yQt 2017 08 28.364045 01 06 40.681 -02 05 28.76 23.5i 13RT128 W84 C~3wor 2017 08 28.36542 01 06 40.679 -02 05 28.81 24.0g 13RT128 W84 C~4yQt 2017 08 28.365423 01 06 40.680 -02 05 28.78 24.2g 13RT128 W84 C~3wor 2017 09 14.31264 01 05 37.644 -02 12 28.26 23.4z 13RT128 W84 C~4yQt 2017 09 18.35085 01 05 20.659 -02 14 11.86 23.0r 13RT128 W84 C~4yQt
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 0.02 0.00 -0.02
2 0.0000 0.04 0.06 0.02 -0.00
3 0.0000 -0.19 -0.08 0.23 0.21
4 0.0000 -0.10 0.11 -0.04 -0.06
5 0.0000 -0.14 0.07 -0.02 -0.04
6 0.0026 -63.08 0.32 -0.53 0.04
7 0.0517 -1352.76 -0.08 31.94 0.03
8 0.0517 -1352.75 -0.07 31.97 0.06
9 0.0517 -1352.78 0.01 31.97 0.06
10 0.0517 -1352.78 0.01 31.98 0.07
11 0.0517 -1352.99 -0.10 31.94 0.02
12 0.0517 -1352.95 -0.06 31.92 -0.01
13 0.0601 -1578.62 0.03 45.76 -0.14
14 0.1609 -4084.45 0.03 405.13 -0.15
15 1.0622 2713.67 -0.13 1818.49 -0.06
16 1.0622 2713.45 -0.25 1818.40 -0.16
17 2.2334 3390.50 -0.19 4325.52 0.09
18 2.2334 3390.63 -0.06 4325.50 0.08
19 2.9762 13515.49 0.08 5289.37 0.09
20 3.1346 9464.27 0.02 5552.94 0.10
21 3.1346 9464.29 0.05 5552.92 0.08
22 3.1564 8956.27 0.11 5646.39 -0.07
23 3.1564 8956.31 0.15 5646.41 -0.06
24 3.1564 8956.17 0.09 5646.47 -0.02
25 3.1564 8956.19 0.12 5646.41 -0.07
26 3.1591 8896.22 -0.09 5658.95 -0.03
27 3.1591 8896.27 -0.03 5658.97 -0.01
28 3.9645 18050.85 0.02 7047.48 -0.08
29 3.9645 18050.83 0.01 7047.48 -0.09
30 3.9645 18050.40 -0.35 7047.61 0.05
31 3.9645 18050.66 -0.09 7047.54 -0.02
32 3.9645 18050.61 -0.06 7047.51 -0.05
33 3.9645 18050.64 -0.03 7047.53 -0.03
34 4.0109 17008.78 0.03 7037.82 0.11
35 4.0220 16732.01 0.33 7043.86 0.08
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.
13RT128 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 40.537 40.546 40.528 ecceobj 0.105 0.105 0.105 incobj 24.111 24.111 24.111 qmin 35.226 35.168 35.213 qmax 45.883 45.812 45.805 amean 40.363 40.376 40.351 amin 40.044 40.048 40.008 amax 40.714 40.728 40.699 emean 0.109 0.110 0.109 emin 0.094 0.094 0.094 emax 0.127 0.126 0.126 imean 23.331 23.329 23.331 imin 22.719 22.696 22.726 imax 23.926 23.899 23.927 excite_mean 0.411 0.411 0.411 fracstop 1.000 1.000 1.000 cjmean 2.859 2.859 2.859 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 180.6 180.0 181.0 kozaiamp 180.0 180.0 180.0