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 Sat Apr 20 01:15:42 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 25 observations of 25 # Arc: 6.98y # First observation: 2013/11/23 # Last observation: 2020/11/14 # Chi-squared of fit: 14.84 DOF: 44 RMS: 0.14 # Min/Max residuals: -0.48 0.48 # Exact a, adot, b, bdot, g, gdot: 1.947356E-05 3.815764E-02 -3.443151E-06 -6.509070E-03 3.080750E-02 8.546253E-03 # Covariance matrix: 1.3337E-13 -1.9107E-13 -1.1113E-14 2.8002E-14 3.7188E-14 -6.5716E-13 -1.9107E-13 5.8554E-13 3.8487E-14 -9.2036E-14 -2.2646E-13 2.1483E-12 -1.1113E-14 3.8487E-14 8.2393E-14 -3.0884E-14 -2.0552E-14 1.4877E-13 2.8002E-14 -9.2036E-14 -3.0884E-14 4.9630E-14 3.6054E-14 -3.5911E-13 3.7188E-14 -2.2646E-13 -2.0552E-14 3.6054E-14 3.7973E-13 -8.0917E-13 -6.5716E-13 2.1483E-12 1.4877E-13 -3.5911E-13 -8.0917E-13 8.3907E-12 # 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: 15.36500 +/- 0.006 Argument of Peri: 188.10906 +/- 0.006 Long of Asc Node: 170.13078 +/- 0.001 Inclination: 15.07364 +/- 0.000 Eccentricity: 0.44950502 +/- 0.0002 Semi-Major Axis: 55.61804104 +/- 0.0152 Time of Perihelion: 2450154.2563 +/- 3.8 Perihelion: 30.61745227 +/- 0.0120 Aphelion: 80.61862982 +/- 0.0237 Period (y) 414.7933 +/- 0.17 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 25.04550533 +/- 0.0005 Ecliptic Y 20.98661571 +/- 0.0004 Ecliptic Z -6.72478766 +/- 0.0001 Ecliptic XDOT -0.00167300 +/- 0.0000 Ecliptic YDOT 0.00301627 +/- 0.0000 Ecliptic ZDOT -0.00072311 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 33.36058062 +/- 0.0004 Geocenter to KBO 32.45952602 +/- 0.0006 # Hcoef: 7.75
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 50.721 +03 14 26.46 22.7i 13WK123 W84 C~4yRi 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 11 23.22406 02 42 50.64 +03 14 26.1 22.9z 13WK123 W84 C~3clj 2013 12 01.20116 02 42 10.244 +03 12 04.01 23.5g 13WK123 W84 C~4yRi 2013 12 01.20116 02 42 10.23 +03 12 04.1 23.6g 13WK123 W84 C~3clj 2013 12 01.20253 02 42 10.247 +03 12 03.95 23.0r 13WK123 W84 C~4yRi 2013 12 01.20253 02 42 10.25 +03 12 03.9 23.1r 13WK123 W84 C~3clj 2013 12 20.14493 02 40 50.568 +03 09 12.18 22.8i 13WK123 W84 C~4yRi 2013 12 20.14493 02 40 50.57 +03 09 12.2 23.0i 13WK123 W84 C~3clj 2013 12 20.14631 02 40 50.569 +03 09 12.30 22.2z 13WK123 W84 C~4yRi 2013 12 20.14631 02 40 50.57 +03 09 12.3 22.3z 13WK123 W84 C~3clj 2014 09 24.30613 02 56 36.451 +04 04 18.59 22.8i 13WK123 W84 C~4yRi 2014 09 24.30613 02 56 36.45 +04 04 18.6 22.7i 13WK123 W84 C~3clj 2014 09 24.30749 02 56 36.44 +04 04 18.7 23.9g 13WK123 W84 C~3clj 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 29.28533 02 53 52.95 +03 44 14.3 23.3g 13WK123 W84 C~3clj 2014 10 29.28950 02 53 52.915 +03 44 14.03 22.5i 13WK123 W84 C~4yRi 2014 10 29.28950 02 53 52.92 +03 44 14.0 22.9i 13WK123 W84 C~3clj 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 2014 12 24.14067 02 49 17.33 +03 27 49.6 23.7g 13WK123 W84 C~3clj 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 0.02 0.00 0.03
2 0.0000 0.00 0.03 0.00 -0.01
3 0.0000 0.00 0.05 0.00 -0.05
4 0.0000 0.00 -0.01 0.00 -0.08
5 0.0219 0.00 -0.10 0.00 0.04
6 0.0219 0.00 -0.31 0.00 0.13
7 0.0219 0.00 0.05 0.00 -0.00
8 0.0219 0.00 0.09 0.00 -0.05
9 0.0737 0.00 -0.00 0.00 0.03
10 0.0737 0.00 -0.03 0.00 0.01
11 0.0737 0.00 0.07 0.00 0.14
12 0.0737 0.00 0.06 0.00 0.14
13 0.8353 0.00 0.02 0.00 -0.07
14 0.8353 0.00 0.03 0.00 -0.08
15 0.8353 0.00 -0.06 0.00 0.08
16 0.8517 0.00 0.01 0.00 0.04
17 0.9311 0.00 0.15 0.00 0.02
18 0.9311 0.00 0.18 0.00 0.06
19 0.9311 0.00 0.05 0.00 -0.15
20 0.9311 0.00 -0.03 0.00 -0.12
21 0.9447 0.00 -0.23 0.00 -0.20
22 1.0840 0.00 -0.06 0.00 0.06
23 1.0840 0.00 -0.01 0.00 0.04
24 6.9765 0.00 -0.48 0.00 0.12
25 6.9767 0.00 0.48 0.00 -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.
13WK123 quality flag:3 Type: 5:2EEE 5:2EEE 5:2EEE axisobj 56.192 56.192 56.192 ecceobj 0.456 0.456 0.456 incobj 15.042 15.042 15.042 qmin 30.052 30.052 30.052 qmax 82.335 82.334 82.335 amean 55.462 55.462 55.462 amin 54.750 54.748 54.752 amax 56.472 56.471 56.472 emean 0.448 0.448 0.448 emin 0.437 0.437 0.437 emax 0.458 0.458 0.458 imean 14.465 14.465 14.465 imin 14.261 14.261 14.261 imax 14.699 14.699 14.699 excite_mean 0.513 0.513 0.513 fracstop 1.000 1.000 1.000 cjmean 2.893 2.893 2.893 libcent 0 181.4 181.3 181.4 libamp 0 76.7 76.7 76.7 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 213.7 213.6 213.7 kozaiamp 180.0 180.0 180.0