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: 13WJ123 # Created Sat Apr 20 01:15:42 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 23 observations of 23 # Arc: 8.02y # First observation: 2013/11/04 # Last observation: 2021/11/11 # Chi-squared of fit: 4.38 DOF: 40 RMS: 0.08 # Min/Max residuals: -0.13 0.22 # Exact a, adot, b, bdot, g, gdot: 1.980037E-05 4.101423E-02 1.539600E-06 3.380460E-03 3.319750E-02 2.803091E-03 # Covariance matrix: 2.3803E-13 -2.1399E-13 1.1015E-14 -1.6143E-14 -5.2692E-14 -5.7855E-13 -2.1399E-13 2.9937E-13 -1.6243E-14 2.4030E-14 5.9627E-14 8.6152E-13 1.1015E-14 -1.6243E-14 1.0706E-13 -1.9345E-14 -8.5279E-15 -4.7864E-14 -1.6143E-14 2.4030E-14 -1.9345E-14 9.6417E-15 4.8218E-15 7.0972E-14 -5.2692E-14 5.9627E-14 -8.5279E-15 4.8218E-15 6.5192E-13 1.6313E-13 -5.7855E-13 8.6152E-13 -4.7864E-14 7.0972E-14 1.6313E-13 2.5446E-12 # lat0 lon0 xBary yBary zBary JD0 -8.109849 26.014623 -0.264206 -0.134577 -0.945310 2456600.571378 # Heliocentric elements and errors Epoch: 2456600.5000 = 2013/11/04 Mean Anomaly: 14.56781 +/- 0.007 Argument of Peri: 277.42784 +/- 0.011 Long of Asc Node: 85.22101 +/- 0.001 Inclination: 9.17796 +/- 0.000 Eccentricity: 0.22770557 +/- 0.0001 Semi-Major Axis: 39.60996012 +/- 0.0055 Time of Perihelion: 2452915.8442 +/- 2.0 Perihelion: 30.59055173 +/- 0.0055 Aphelion: 48.62936850 +/- 0.0076 Period (y) 249.2957 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 27.54138783 +/- 0.0007 Ecliptic Y 13.73889273 +/- 0.0003 Ecliptic Z -4.24945412 +/- 0.0001 Ecliptic XDOT -0.00124872 +/- 0.0000 Ecliptic YDOT 0.00315577 +/- 0.0000 Ecliptic ZDOT 0.00024353 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 31.06992646 +/- 0.0006 Geocenter to KBO 30.12274951 +/- 0.0007 # Hcoef: 7.72
The following table shows the complete astrometric record for 13WJ123. 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 (13WJ123) followed by the observatory code and reference code for the source of the astrometry.
2013 11 04.07060 01 48 14.43 +02 28 52.0 13WJ123 W84 C~3clj 2013 11 04.13358 01 48 14.06 +02 28 50.3 22.9r 13WJ123 W84 C~3clj 2013 11 04.21602 01 48 13.57 +02 28 48.3 13WJ123 W84 C~3clj 2013 11 23.18047 01 46 31.467 +02 22 08.25 22.4i 13WJ123 W84 C~4yRi 2013 11 23.18047 01 46 31.47 +02 22 08.2 22.4i 13WJ123 W84 C~3clj 2014 10 02.32581 01 59 57.240 +03 47 03.02 22.4i 13WJ123 W84 C~4yRi 2014 10 02.32581 01 59 57.24 +03 47 03.0 22.5i 13WJ123 W84 C~3clj 2014 10 21.27770 01 58 07.853 +03 36 39.61 23.1g 13WJ123 W84 C~4yRi 2014 10 21.27770 01 58 07.85 +03 36 39.7 23.4g 13WJ123 W84 C~3clj 2014 10 21.28184 01 58 07.820 +03 36 39.64 22.1i 13WJ123 W84 C~4yRi 2014 10 21.28184 01 58 07.82 +03 36 39.6 22.3i 13WJ123 W84 C~3clj 2014 10 23.27376 01 57 55.853 +03 35 37.68 22.0i 13WJ123 W84 C~4yRi 2014 10 23.27376 01 57 55.85 +03 35 37.7 22.2i 13WJ123 W84 C~3clj 2014 10 29.24020 01 57 19.996 +03 32 38.83 23.3g 13WJ123 W84 C~4yRi 2014 11 27.09249 01 54 40.736 +03 21 56.20 22.4z 13WJ123 W84 C~4yRi 2014 11 27.09249 01 54 40.74 +03 21 56.3 22.6z 13WJ123 W84 C~3clj 2015 12 18.09791 02 01 41.127 +04 19 05.65 22.6i 13WJ123 W84 C~4yRi 2015 12 18.09791 02 01 41.13 +04 19 05.7 22.6i 13WJ123 W84 C~3clj 2020 10 20.382960 02 48 16.640 +09 23 40.05 22.6G 13WJ123 G37 C~4Kw7 2020 10 20.460730 02 48 16.187 +09 23 38.04 13WJ123 G37 C~4Kw7 2021 11 11.310791 02 54 20.604 +10 08 29.46 22.6w 13WJ123 F51 C~5BRP 2021 11 11.321123 02 54 20.531 +10 08 29.48 22.8w 13WJ123 F51 C~5BRP 2021 11 11.331476 02 54 20.469 +10 08 28.90 22.6w 13WJ123 F51 C~5BRP
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 -0.06 0.00 -0.01
2 0.0002 0.00 -0.02 0.00 -0.05
3 0.0004 0.00 -0.05 0.00 0.11
4 0.0523 0.00 0.05 0.00 -0.07
5 0.0523 0.00 0.01 0.00 -0.02
6 0.9097 0.00 0.00 0.00 -0.05
7 0.9097 0.00 0.00 0.00 -0.03
8 0.9616 0.00 0.06 0.00 -0.03
9 0.9616 0.00 0.10 0.00 -0.12
10 0.9616 0.00 -0.01 0.00 -0.00
11 0.9616 0.00 -0.01 0.00 0.04
12 0.9670 0.00 -0.05 0.00 0.11
13 0.9670 0.00 -0.00 0.00 0.09
14 0.9834 0.00 0.16 0.00 0.02
15 1.0623 0.00 -0.07 0.00 -0.11
16 1.0623 0.00 -0.01 0.00 -0.01
17 2.1192 0.00 0.00 0.00 0.14
18 2.1192 0.00 -0.04 0.00 0.09
19 6.9605 0.00 -0.09 0.00 -0.13
20 6.9607 0.00 -0.05 0.00 -0.01
21 8.0198 0.00 0.12 0.00 -0.03
22 8.0199 0.00 -0.02 0.00 0.22
23 8.0199 0.00 0.01 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.
13WJ123 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.868 39.868 39.868 ecceobj 0.233 0.233 0.233 incobj 9.183 9.183 9.183 qmin 29.308 29.306 29.311 qmax 50.203 50.195 50.195 amean 39.456 39.456 39.456 amin 38.975 38.973 38.981 amax 40.032 40.022 40.030 emean 0.235 0.235 0.235 emin 0.208 0.208 0.208 emax 0.256 0.256 0.256 imean 5.657 5.665 5.649 imin 4.486 4.488 4.484 imax 7.796 7.796 7.796 excite_mean 0.256 0.256 0.256 fracstop 1.000 1.000 1.000 cjmean 2.977 2.977 2.977 libcent 0 180.2 180.3 180.2 libamp 0 94.1 94.1 94.1 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 195.7 195.5 195.9 kozaiamp 63.3 63.8 62.8