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: 13RS124 # Created Wed Dec 25 02:09:28 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 22 observations of 22 # Arc: 7.03y # First observation: 2013/09/10 # Last observation: 2020/09/21 # Chi-squared of fit: 6.53 DOF: 38 RMS: 0.10 # Min/Max residuals: -0.25 0.18 # Exact a, adot, b, bdot, g, gdot: 1.793137E-05 3.352825E-02 -3.589777E-06 -5.228692E-03 2.896207E-02 -2.412214E-03 # Covariance matrix: 1.4508E-13 -3.0801E-14 -1.4639E-15 1.1683E-15 8.0522E-14 -4.9207E-14 -3.0801E-14 1.0522E-13 6.4789E-15 -1.4966E-14 1.0229E-13 4.4066E-13 -1.4639E-15 6.4789E-15 1.0871E-13 -2.5061E-14 4.8551E-15 3.1623E-14 1.1683E-15 -1.4966E-14 -2.5061E-14 1.6094E-14 -1.6581E-14 -7.2045E-14 8.0522E-14 1.0229E-13 4.8551E-15 -1.6581E-14 3.2789E-13 4.5230E-13 -4.9207E-14 4.4066E-13 3.1623E-14 -7.2045E-14 4.5230E-13 2.1280E-12 # lat0 lon0 xBary yBary zBary JD0 -12.707585 14.277275 0.454570 -0.197754 -0.877422 2456545.838648 # Heliocentric elements and errors Epoch: 2456546.5000 = 2013/09/11 Mean Anomaly: 345.44186 +/- 0.007 Argument of Peri: 259.34712 +/- 0.011 Long of Asc Node: 140.06599 +/- 0.001 Inclination: 15.28748 +/- 0.000 Eccentricity: 0.25260809 +/- 0.0001 Semi-Major Axis: 46.48858943 +/- 0.0049 Time of Perihelion: 2461228.3928 +/- 17.6 Perihelion: 34.74519583 +/- 0.0048 Aphelion: 58.23198303 +/- 0.0069 Period (y) 316.9770 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 33.62513235 +/- 0.0006 Ecliptic Y 8.09086379 +/- 0.0002 Ecliptic Z -7.59543508 +/- 0.0002 Ecliptic XDOT -0.00110877 +/- 0.0000 Ecliptic YDOT 0.00298877 +/- 0.0000 Ecliptic ZDOT -0.00043187 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 35.40912507 +/- 0.0006 Geocenter to KBO 34.52799445 +/- 0.0007 # Hcoef: 7.87
The following table shows the complete astrometric record for 13RS124. 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 (13RS124) followed by the observatory code and reference code for the source of the astrometry.
2013 09 10.33787 01 12 13.84 -06 05 31.9 24.2g 13RS124 W84 C~3clA 2013 09 10.33926 01 12 13.833 -06 05 32.08 23.4r 13RS124 W84 C~4yQt 2013 09 10.34064 01 12 13.825 -06 05 32.24 23.5i 13RS124 W84 C~4yQt 2013 09 11.27911 01 12 09.875 -06 06 09.77 23.9g 13RS124 W84 C~4yQt 2013 09 11.28575 01 12 09.864 -06 06 09.97 23.3r 13RS124 W84 C~4yQt 2013 09 11.29077 01 12 09.834 -06 06 10.15 22.8i 13RS124 W84 C~4yQt 2013 10 04.19586 01 10 21.211 -06 20 55.86 24.8g 13RS124 W84 C~4yQt 2013 10 04.21546 01 10 21.100 -06 20 56.42 23.4r 13RS124 W84 C~4yQt 2013 10 13.18826 01 09 34.98 -06 26 05.7 22.4z 13RS124 W84 C~3clA 2013 11 04.03025 01 07 46.43 -06 35 53.0 23.7 13RS124 W84 C~5i2s 2013 11 04.09501 01 07 46.12 -06 35 54.6 23.7 13RS124 W84 C~5i2s 2013 11 04.18530 01 07 45.69 -06 35 56.2 23.7 13RS124 W84 C~5i2s 2015 09 04.28245 01 27 51.618 -05 04 06.35 22.9i 13RS124 W84 C~4yQt 2015 09 04.28382 01 27 51.628 -05 04 06.41 23.2z 13RS124 W84 C~4yQt 2016 08 16.42183 01 36 15.708 -04 23 44.59 23.0r 13RS124 W84 C~4yQt 2016 11 07.14009 01 30 22.486 -05 11 34.47 23.2r 13RS124 W84 C~4yQt 2016 11 07.14282 01 30 22.461 -05 11 34.57 23.0i 13RS124 W84 C~4yQt 2016 12 07.06735 01 28 25.455 -05 16 12.43 23.0i 13RS124 W84 C~4yQt 2016 12 19.10622 01 27 58.988 -05 14 48.44 23.8r 13RS124 W84 C~4yQt 2016 12 20.06751 01 27 57.469 -05 14 36.77 24.7g 13RS124 W84 C~4yQt 2020 09 21.438390 02 05 05.617 -02 45 37.43 23.1G 13RS124 G37 C~49w5 2020 09 21.477990 02 05 05.449 -02 45 38.88 13RS124 G37 C~49w5
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 0.17
2 0.0000 0.00 -0.00 0.00 0.05
3 0.0000 0.00 -0.04 0.00 -0.06
4 0.0026 0.00 -0.15 0.00 -0.03
5 0.0026 0.00 0.12 0.00 0.03
6 0.0026 0.00 -0.01 0.00 0.05
7 0.0653 0.00 0.12 0.00 -0.06
8 0.0654 0.00 -0.02 0.00 0.09
9 0.0899 0.00 0.08 0.00 -0.06
10 0.1497 0.00 0.04 0.00 0.09
11 0.1499 0.00 -0.03 0.00 -0.19
12 0.1502 0.00 -0.10 0.00 0.04
13 1.9821 0.00 -0.20 0.00 -0.03
14 1.9821 0.00 0.03 0.00 -0.04
15 2.9325 0.00 0.02 0.00 0.15
16 3.1589 0.00 0.18 0.00 0.01
17 3.1589 0.00 0.00 0.00 -0.04
18 3.2409 0.00 0.14 0.00 -0.13
19 3.2738 0.00 0.14 0.00 -0.07
20 3.2765 0.00 -0.25 0.00 0.04
21 7.0311 0.00 -0.01 0.00 -0.01
22 7.0312 0.00 -0.02 0.00 0.07
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.
13RS124 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 46.784 46.784 46.784 ecceobj 0.256 0.256 0.256 incobj 15.264 15.264 15.264 qmin 34.019 33.979 34.008 qmax 59.129 59.679 59.802 amean 46.291 46.198 46.544 amin 45.702 45.415 45.972 amax 46.931 47.188 47.218 emean 0.245 0.244 0.248 emin 0.225 0.223 0.229 emax 0.263 0.267 0.268 imean 14.550 14.468 14.559 imin 13.590 13.526 13.655 imax 15.468 15.443 15.504 excite_mean 0.351 0.349 0.353 fracstop 1.000 1.000 1.000 cjmean 2.978 2.979 2.979 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 180.6 178.3 178.4 kozaiamp 180.0 180.0 179.9