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: 13WK123 # Created Sun Dec 22 02:09:52 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 14 observations of 14 # Arc: 6.98y # First observation: 2013/11/23 # Last observation: 2020/11/14 # Chi-squared of fit: 11.30 DOF: 22 RMS: 0.16 # Min/Max residuals: -0.48 0.48 # Exact a, adot, b, bdot, g, gdot: 1.954418E-05 3.815744E-02 -3.499519E-06 -6.509023E-03 3.080753E-02 8.545519E-03 # Covariance matrix: 2.6704E-13 -3.8176E-13 -2.4275E-14 5.8668E-14 7.8109E-14 -1.3150E-12 -3.8176E-13 1.1257E-12 7.9898E-14 -1.8422E-13 -4.6141E-13 4.1066E-12 -2.4275E-14 7.9898E-14 1.5506E-13 -4.9337E-14 -4.3508E-14 3.0020E-13 5.8668E-14 -1.8422E-13 -4.9337E-14 6.8747E-14 7.7250E-14 -6.9536E-13 7.8109E-14 -4.6141E-13 -4.3508E-14 7.7250E-14 7.8207E-13 -1.6603E-12 -1.3150E-12 4.1066E-12 3.0020E-13 -6.9536E-13 -1.6603E-12 1.5509E-11 # lat0 lon0 xBary yBary zBary JD0 -11.956486 39.323918 -0.360371 -0.189952 -0.897700 2456619.710188 # Heliocentric elements and errors Epoch: 2456620.5000 = 2013/11/24 Mean Anomaly: 15.36607 +/- 0.009 Argument of Peri: 188.11017 +/- 0.008 Long of Asc Node: 170.13070 +/- 0.001 Inclination: 15.07362 +/- 0.000 Eccentricity: 0.44947270 +/- 0.0002 Semi-Major Axis: 55.61519047 +/- 0.0215 Time of Perihelion: 2450154.3048 +/- 5.4 Perihelion: 30.61768085 +/- 0.0169 Aphelion: 80.61270010 +/- 0.0335 Period (y) 414.7614 +/- 0.24 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 25.04547660 +/- 0.0007 Ecliptic Y 20.98659513 +/- 0.0006 Ecliptic Z -6.72478207 +/- 0.0002 Ecliptic XDOT -0.00167303 +/- 0.0000 Ecliptic YDOT 0.00301622 +/- 0.0000 Ecliptic ZDOT -0.00072309 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 33.36054499 +/- 0.0006 Geocenter to KBO 32.45949038 +/- 0.0009 # Hcoef: 7.70
The following table shows the complete astrometric record for 13WK123. 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 (13WK123) followed by the observatory code and reference code for the source of the astrometry.
2013 11 23.20941 02 42 50.72 +03 14 26.5 22.7i 13WK123 W84 C~3clj 2013 11 23.22406 02 42 50.644 +03 14 26.13 22.8z 13WK123 W84 C~4yRi 2013 12 01.20116 02 42 10.244 +03 12 04.01 23.5g 13WK123 W84 C~4yRi 2013 12 01.20253 02 42 10.247 +03 12 03.95 23.0r 13WK123 W84 C~4yRi 2013 12 20.14493 02 40 50.568 +03 09 12.18 22.8i 13WK123 W84 C~4yRi 2013 12 20.14631 02 40 50.569 +03 09 12.30 22.2z 13WK123 W84 C~4yRi 2014 09 24.30613 02 56 36.451 +04 04 18.59 22.8i 13WK123 W84 C~4yRi 2014 09 30.29790 02 56 14.014 +04 00 47.29 22.8r 13WK123 W84 C~4yRi 2014 10 29.28533 02 53 52.952 +03 44 14.34 23.3g 13WK123 W84 C~4yRi 2014 10 29.28950 02 53 52.915 +03 44 14.03 22.5i 13WK123 W84 C~4yRi 2014 11 03.27134 02 53 25.387 +03 41 41.93 22.9z 13WK123 W84 C~4yRi 2014 12 24.14067 02 49 17.333 +03 27 49.58 23.7g 13WK123 W84 C~4yRi 2020 11 14.373700 03 41 25.408 +05 14 38.61 23.1G 13WK123 G37 C~4Nlf 2020 11 14.438820 03 41 25.112 +05 14 36.95 13WK123 G37 C~4Nlf
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 -0.00 0.00 0.03
2 0.0000 0.00 0.03 0.00 -0.04
3 0.0219 0.00 -0.11 0.00 0.04
4 0.0219 0.00 0.03 0.00 0.00
5 0.0737 0.00 -0.04 0.00 0.02
6 0.0737 0.00 0.05 0.00 0.14
7 0.8353 0.00 0.03 0.00 -0.07
8 0.8517 0.00 0.02 0.00 0.05
9 0.9311 0.00 0.19 0.00 0.06
10 0.9311 0.00 -0.01 0.00 -0.12
11 0.9447 0.00 -0.21 0.00 -0.20
12 1.0840 0.00 0.02 0.00 0.05
13 6.9765 0.00 -0.48 0.00 0.11
14 6.9767 0.00 0.48 0.00 -0.09
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.
13WK123 quality flag:3 Type: 5:2EEE 5:2EEE 5:2EEE axisobj 56.189 56.189 56.189 ecceobj 0.456 0.456 0.456 incobj 15.042 15.042 15.042 qmin 30.059 30.059 30.060 qmax 82.340 82.340 82.339 amean 55.462 55.462 55.461 amin 54.762 54.762 54.762 amax 56.476 56.476 56.476 emean 0.448 0.447 0.447 emin 0.437 0.437 0.437 emax 0.458 0.458 0.458 imean 14.462 14.462 14.462 imin 14.253 14.265 14.253 imax 14.699 14.699 14.699 excite_mean 0.512 0.512 0.512 fracstop 1.000 1.000 1.000 cjmean 2.894 2.894 2.894 libcent 0 181.0 181.0 181.0 libamp 0 77.0 77.0 77.0 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 214.8 214.6 215.0 kozaiamp 180.0 180.0 180.0