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: 13RK109 # Created Tue Jan 21 02:09:41 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 40 observations of 40 # Arc: 5.03y # First observation: 2013/09/09 # Last observation: 2018/09/21 # Chi-squared of fit: 10.87 DOF: 74 RMS: 0.09 # Min/Max residuals: -0.29 0.26 # Exact a, adot, b, bdot, g, gdot: 1.886740E-05 3.554833E-02 -3.501383E-06 -7.869688E-03 2.828547E-02 8.044912E-03 # Covariance matrix: 3.0355E-13 -6.8085E-14 -9.4378E-16 -4.3701E-16 2.0963E-13 1.6484E-14 -6.8085E-14 1.5584E-13 1.5531E-14 -3.3807E-14 6.3701E-14 9.6382E-13 -9.4378E-16 1.5531E-14 1.3353E-13 -3.8506E-14 1.0592E-14 1.0864E-13 -4.3701E-16 -3.3807E-14 -3.8506E-14 2.1272E-14 -2.6468E-14 -2.4015E-13 2.0963E-13 6.3701E-14 1.0592E-14 -2.6468E-14 3.3579E-13 7.6011E-13 1.6484E-14 9.6382E-13 1.0864E-13 -2.4015E-13 7.6011E-13 6.8525E-12 # lat0 lon0 xBary yBary zBary JD0 -3.060486 10.619896 0.413938 -0.048988 -0.917913 2456544.719408 # Heliocentric elements and errors Epoch: 2456544.5000 = 2013/09/09 Mean Anomaly: 5.96683 +/- 0.003 Argument of Peri: 162.62828 +/- 0.009 Long of Asc Node: 176.76678 +/- 0.000 Inclination: 12.85168 +/- 0.000 Eccentricity: 0.61755528 +/- 0.0001 Semi-Major Axis: 89.70810163 +/- 0.0227 Time of Perihelion: 2451400.6668 +/- 3.0 Perihelion: 34.30839001 +/- 0.0121 Aphelion: 145.10781326 +/- 0.0377 Period (y) 849.6806 +/- 0.32 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 35.67806772 +/- 0.0007 Ecliptic Y 6.27184493 +/- 0.0001 Ecliptic Z -1.88768316 +/- 0.0000 Ecliptic XDOT 0.00008399 +/- 0.0000 Ecliptic YDOT 0.00351657 +/- 0.0000 Ecliptic ZDOT -0.00080208 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 36.27413811 +/- 0.0007 Geocenter to KBO 35.35371841 +/- 0.0007 # Hcoef: 7.07
The following table shows the complete astrometric record for 13RK109. 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 (13RK109) followed by the observatory code and reference code for the source of the astrometry.
2013 09 09.21863 00 43 50.590 +01 23 15.88 23.8g 13RK109 W84 C~4yQp 2013 09 28.11528 00 42 24.614 +01 12 10.49 23.3g 13RK109 W84 C~4yQp 2013 10 03.10233 00 42 00.658 +01 09 12.20 24.2g 13RK109 W84 C~4yQp 2013 10 13.149560 00 41 12.50 +01 03 22.0 22.5i 13RK109 W84 C~35bW 2013 10 13.15009 00 41 12.496 +01 03 22.06 22.6i 13RK109 W84 C~4yQp 2013 10 13.17933 00 41 12.347 +01 03 21.14 22.1z 13RK109 W84 C~4yQp 2013 11 23.12179 00 38 33.568 +00 45 12.58 22.8r 13RK109 W84 C~4yQp 2013 11 23.12459 00 38 33.560 +00 45 12.56 22.4i 13RK109 W84 C~4yQp 2013 12 02.116933 00 38 14.17 +00 43 10.2 22.9r 13RK109 W84 C~35bW 2014 10 29.22180 00 48 10.115 +01 17 49.30 22.6i 13RK109 W84 C~4yQp 2014 11 14.13269 00 47 07.972 +01 10 57.74 22.4r 13RK109 W84 C~4yQp 2014 11 15.07192 00 47 04.794 +01 10 37.30 21.8z 13RK109 W84 C~4yQp 2014 11 17.07181 00 46 58.201 +01 09 55.24 22.8z 13RK109 W84 C~4yQp 2015 10 17.16686 00 57 08.037 +01 46 35.63 22.4r 13RK109 W84 C~4yQp 2016 08 16.39263 01 09 03.386 +02 40 44.24 22.6i 13RK109 W84 C~4yQp 2016 08 16.39399 01 09 03.377 +02 40 44.39 21.8z 13RK109 W84 C~4yQp 2016 10 29.18898 01 04 03.253 +02 01 48.35 22.4i 13RK109 W84 C~4yQp 2016 10 29.19036 01 04 03.250 +02 01 48.33 22.9r 13RK109 W84 C~4yQp 2016 10 29.19174 01 04 03.238 +02 01 48.22 23.6g 13RK109 W84 C~4yQp 2016 11 06.153322 01 03 29.15 +01 58 08.6 22.2z 13RK109 W84 C~35bX 2016 11 06.15385 01 03 29.153 +01 58 08.52 22.4z 13RK109 W84 C~4yQp 2017 08 22.412326 01 16 30.40 +02 59 05.2 22.9i 13RK109 W84 C~35bX 2017 08 22.41286 01 16 30.396 +02 59 05.17 22.6i 13RK109 W84 C~4yQp 2017 08 27.377153 01 16 17.11 +02 56 52.5 22.9r 13RK109 W84 C~35bX 2017 08 27.37768 01 16 17.107 +02 56 52.43 22.9r 13RK109 W84 C~4yQp 2017 08 27.396713 01 16 17.04 +02 56 51.7 22.9g 13RK109 W84 C~35bX 2017 08 27.39723 01 16 17.043 +02 56 51.66 22.9g 13RK109 W84 C~4yQp 2017 08 28.370498 01 16 14.22 +02 56 24.8 22.2z 13RK109 W84 C~35bX 2017 08 28.37103 01 16 14.220 +02 56 24.78 22.2z 13RK109 W84 C~4yQp 2017 09 14.323148 01 15 14.82 +02 47 47.0 22.7r 13RK109 W84 C~35bX 2017 09 14.32368 01 15 14.822 +02 47 46.98 22.6r 13RK109 W84 C~4yQp 2017 09 14.324525 01 15 14.81 +02 47 46.9 22.4i 13RK109 W84 C~35bX 2017 09 14.32506 01 15 14.815 +02 47 46.85 22.3i 13RK109 W84 C~4yQp 2017 09 18.304248 01 14 58.49 +02 45 36.0 23.5g 13RK109 W84 C~35bX 2017 09 18.30477 01 14 58.487 +02 45 36.02 23.5g 13RK109 W84 C~4yQp 2017 09 24.256979 01 14 32.78 +02 42 16.0 22.6z 13RK109 W84 C~35bX 2018 09 11.33623 01 23 03.202 +03 09 58.61 22.4i 13RK109 W84 C~4yQp 2018 09 11.35443 01 23 03.138 +03 09 58.02 22.8r 13RK109 W84 C~4yQp 2018 09 11.35579 01 23 03.120 +03 09 58.06 23.3g 13RK109 W84 C~4yQp 2018 09 21.32288 01 22 23.546 +03 04 36.82 23.2z 13RK109 W84 C~4yQp
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 0.26 0.00 -0.09
2 0.0517 0.00 -0.03 0.00 0.16
3 0.0654 0.00 -0.29 0.00 -0.26
4 0.0929 0.00 0.09 0.00 -0.11
5 0.0929 0.00 0.07 0.00 -0.03
6 0.0930 0.00 -0.05 0.00 0.05
7 0.2051 0.00 0.01 0.00 0.00
8 0.2051 0.00 0.00 0.00 0.03
9 0.2297 0.00 -0.17 0.00 0.15
10 1.1362 0.00 0.04 0.00 0.07
11 1.1798 0.00 0.07 0.00 0.01
12 1.1823 0.00 0.14 0.00 0.04
13 1.1878 0.00 -0.05 0.00 -0.00
14 2.1025 0.00 0.04 0.00 0.03
15 2.9355 0.00 -0.01 0.00 -0.03
16 2.9355 0.00 -0.10 0.00 0.15
17 3.1375 0.00 0.03 0.00 -0.01
18 3.1375 0.00 0.08 0.00 0.01
19 3.1375 0.00 -0.01 0.00 -0.06
20 3.1593 0.00 -0.05 0.00 -0.00
21 3.1593 0.00 0.02 0.00 -0.07
22 3.9512 0.00 -0.01 0.00 -0.01
23 3.9513 0.00 -0.05 0.00 -0.02
24 3.9648 0.00 0.10 0.00 0.12
25 3.9648 0.00 0.08 0.00 0.07
26 3.9649 0.00 -0.08 0.00 -0.14
27 3.9649 0.00 -0.02 0.00 -0.16
28 3.9676 0.00 0.04 0.00 0.09
29 3.9676 0.00 0.06 0.00 0.09
30 4.0140 0.00 0.01 0.00 0.02
31 4.0140 0.00 0.07 0.00 0.01
32 4.0140 0.00 -0.06 0.00 -0.04
33 4.0140 0.00 0.05 0.00 -0.07
34 4.0249 0.00 -0.02 0.00 0.08
35 4.0249 0.00 -0.03 0.00 0.12
36 4.0412 0.00 -0.15 0.00 -0.04
37 5.0051 0.00 -0.01 0.00 -0.01
38 5.0052 0.00 0.07 0.00 -0.03
39 5.0052 0.00 -0.13 0.00 0.05
40 5.0325 0.00 0.20 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.
13RK109 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 91.134 91.134 91.134 ecceobj 0.624 0.624 0.624 incobj 12.824 12.824 12.824 qmin 32.931 32.959 32.956 qmax 166.241 155.755 157.089 amean 92.208 90.600 91.093 amin 87.711 85.871 87.788 amax 100.396 94.753 95.560 emean 0.629 0.624 0.624 emin 0.606 0.597 0.604 emax 0.656 0.644 0.644 imean 11.870 11.661 12.207 imin 10.547 10.632 10.630 imax 13.229 13.117 13.753 excite_mean 0.662 0.656 0.659 fracstop 1.000 1.000 1.000 cjmean 2.987 2.987 2.987 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 168.6 183.1 170.5 kozaiamp 179.9 180.0 179.9