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: 13RL109
# Created Sat Feb 22 02:09:35 2025
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 39 observations of 39
# Arc: 11.06y
# First observation: 2013/09/10
# Last observation: 2024/10/01
# Chi-squared of fit: 18.78 DOF: 72 RMS: 0.12
# Min/Max residuals: -0.24 0.36
# Exact a, adot, b, bdot, g, gdot:
1.634360E-05 2.983624E-02 -3.434983E-06 -5.927493E-03 2.828188E-02 5.317213E-03
# Covariance matrix:
1.1828E-13 -5.2730E-14 -9.9347E-15 8.2857E-15 -2.2835E-15 -1.3623E-13
-5.2730E-14 4.1889E-14 8.8127E-15 -7.7525E-15 -1.7234E-14 1.2820E-13
-9.9347E-15 8.8127E-15 7.4186E-14 -1.4510E-14 -1.1830E-15 3.0157E-14
8.2857E-15 -7.7525E-15 -1.4510E-14 6.4304E-15 4.2139E-15 -2.6868E-14
-2.2835E-15 -1.7234E-14 -1.1830E-15 4.2139E-15 1.5417E-13 -7.5233E-14
-1.3623E-13 1.2820E-13 3.0157E-14 -2.6868E-14 -7.5233E-14 4.4492E-13
# lat0 lon0 xBary yBary zBary JD0
8.934468 -23.930578 -0.194517 0.153660 -0.976898 2456545.565778
# Heliocentric elements and errors
Epoch: 2456546.5000 = 2013/09/11
Mean Anomaly: 51.80879 +/- 0.009
Argument of Peri: 69.35972 +/- 0.012
Long of Asc Node: 193.61290 +/- 0.000
Inclination: 14.18174 +/- 0.000
Eccentricity: 0.19954735 +/- 0.0000
Semi-Major Axis: 40.10559721 +/- 0.0029
Time of Perihelion: 2443195.7135 +/- 2.8
Perihelion: 32.10263171 +/- 0.0028
Aphelion: 48.10856270 +/- 0.0039
Period (y) 253.9895 +/- 0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 32.90946524 +/- 0.0004
Ecliptic Y -14.38870047 +/- 0.0002
Ecliptic Z 5.49119227 +/- 0.0001
Ecliptic XDOT 0.00171165 +/- 0.0000
Ecliptic YDOT 0.00239647 +/- 0.0000
Ecliptic ZDOT -0.00048677 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 36.33473538 +/- 0.0004
Geocenter to KBO 35.35825644 +/- 0.0005
# Hcoef: 7.64
The following table shows the complete astrometric record for 13RL109. 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 (13RL109) followed by the observatory code and reference code for the source of the astrometry.
2013 09 10.06500 22 18 15.701 -00 58 06.69 23.8g 13RL109 W84 C~4yQp 2013 09 13.17339 22 18 00.778 -00 59 57.44 23.0i 13RL109 W84 C~4yQp 2013 09 13.17477 22 18 00.773 -00 59 57.60 22.7z 13RL109 W84 C~4yQp 2013 09 23.04584 22 17 15.840 -01 05 51.86 23.7g 13RL109 W84 C~4yQp 2013 09 30.05529 22 16 46.831 -01 10 01.64 23.1i 13RL109 W84 C~4yQp 2013 10 10.09338 22 16 10.786 -01 15 47.20 23.2r 13RL109 W84 C~4yQp 2013 10 11.07886 22 16 07.650 -01 16 20.06 22.4z 13RL109 W84 C~4yQp 2013 10 12.04497 22 16 04.653 -01 16 51.78 23.1i 13RL109 W84 C~4yQp 2013 10 13.027558 22 16 01.67 -01 17 23.9 22.4z 13RL109 W84 C~36Su 2013 10 13.02808 22 16 01.678 -01 17 24.05 23.3z 13RL109 W84 C~4yQp 2013 11 23.05232 22 15 18.291 -01 33 51.89 23.4r 13RL109 W84 C~4yQp 2015 07 15.43813 22 36 05.17 +00 02 48.0 23.6r 13RL109 T09 C~8cPS 2015 07 15.46513 22 36 05.09 +00 02 47.8 23.6r 13RL109 T09 C~8cPS 2015 07 15.50197 22 36 04.97 +00 02 47.3 23.5r 13RL109 T09 C~8cPS 2015 07 15.52198 22 36 04.90 +00 02 47.2 23.6r 13RL109 T09 C~8cPS 2015 07 15.54903 22 36 04.81 +00 02 46.8 23.7r 13RL109 T09 C~8cPS 2015 07 21.43097 22 35 44.87 +00 01 25.9 23.2i 13RL109 T09 C~8eOF 2015 07 21.50079 22 35 44.60 +00 01 25.0 23.2i 13RL109 T09 C~8eOF 2015 07 21.60369 22 35 44.23 +00 01 23.3 23.2i 13RL109 T09 C~8eOF 2015 07 23.44064 22 35 37.51 +00 00 53.6 23.0y 13RL109 T09 C~8eOF 2015 07 23.46338 22 35 37.41 +00 00 53.1 23.5y 13RL109 T09 C~8eOF 2015 07 23.50977 22 35 37.24 +00 00 52.3 22.6y 13RL109 T09 C~8eOF 2015 07 23.53710 22 35 37.13 +00 00 52.1 22.9y 13RL109 T09 C~8eOF 2016 08 24.235579 22 39 50.93 +00 05 13.5 22.9i 13RL109 W84 C~35bX 2016 08 24.23611 22 39 50.945 +00 05 13.19 23.2i 13RL109 W84 C~4yQp 2016 08 26.220741 22 39 41.16 +00 04 10.3 23.0r 13RL109 W84 C~35bX 2016 08 26.22266 22 39 41.153 +00 04 10.18 23.7g 13RL109 W84 C~4yQp 2016 09 26.10604 22 37 13.168 -00 13 47.28 23.4r 13RL109 W84 C~4yQp 2016 09 26.10742 22 37 13.163 -00 13 47.49 23.0i 13RL109 W84 C~4yQp 2016 09 26.10879 22 37 13.136 -00 13 47.51 23.4g 13RL109 W84 C~4yQp 2017 09 27.10811 22 43 45.157 +00 03 25.02 22.4z 13RL109 W84 C~4yQp 2017 09 27.108958 22 43 45.17 +00 03 25.0 23.0i 13RL109 W84 C~35bX 2017 09 27.10949 22 43 45.164 +00 03 25.04 22.8i 13RL109 W84 C~4yQp 2017 09 27.12890 22 43 45.070 +00 03 24.43 23.6r 13RL109 W84 C~4yQp 2018 09 17.24663 22 51 03.122 +00 26 58.10 23.1r 13RL109 W84 C~4yQp 2018 09 17.24806 22 51 03.102 +00 26 58.06 24.3g 13RL109 W84 C~4yQp 2024 10 01.249910 23 27 45.244 +01 59 27.13 23.2G 13RL109 G37 C~8Gxz 2024 10 01.288790 23 27 45.050 +01 59 25.91 13RL109 G37 C~8Gxz 2024 10 01.328190 23 27 44.876 +01 59 24.45 13RL109 G37 C~8Gxz
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 0.05
2 0.0085 0.00 0.15 0.00 -0.02
3 0.0085 0.00 0.18 0.00 -0.13
4 0.0355 0.00 0.07 0.00 -0.03
5 0.0547 0.00 -0.06 0.00 -0.08
6 0.0822 0.00 -0.04 0.00 -0.08
7 0.0849 0.00 -0.02 0.00 -0.18
8 0.0876 0.00 0.00 0.00 -0.04
9 0.0902 0.00 -0.12 0.00 -0.01
10 0.0902 0.00 0.02 0.00 -0.14
11 0.2026 0.00 0.09 0.00 -0.05
12 1.8436 0.00 -0.12 0.00 0.16
13 1.8437 0.00 -0.00 0.00 0.28
14 1.8438 0.00 0.00 0.00 0.22
15 1.8438 0.00 -0.07 0.00 0.36
16 1.8439 0.00 -0.09 0.00 0.28
17 1.8600 0.00 0.06 0.00 -0.03
18 1.8602 0.00 -0.13 0.00 0.15
19 1.8605 0.00 0.03 0.00 0.05
20 1.8655 0.00 0.04 0.00 -0.09
21 1.8656 0.00 -0.16 0.00 -0.21
22 1.8657 0.00 -0.05 0.00 -0.24
23 1.8658 0.00 -0.13 0.00 0.02
24 2.9546 0.00 -0.05 0.00 0.28
25 2.9546 0.00 0.21 0.00 -0.01
26 2.9600 0.00 0.10 0.00 -0.03
27 2.9600 0.00 0.14 0.00 -0.09
28 3.0446 0.00 0.10 0.00 0.04
29 3.0446 0.00 0.12 0.00 -0.12
30 3.0446 0.00 -0.19 0.00 -0.09
31 4.0467 0.00 -0.10 0.00 -0.06
32 4.0467 0.00 0.15 0.00 -0.05
33 4.0467 0.00 0.09 0.00 0.01
34 4.0467 0.00 -0.02 0.00 0.09
35 5.0190 0.00 0.05 0.00 0.01
36 5.0190 0.00 -0.15 0.00 0.02
37 11.0587 0.00 0.13 0.00 -0.13
38 11.0588 0.00 -0.11 0.00 0.02
39 11.0589 0.00 -0.02 0.00 -0.04
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.
13RL109 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 40.261 40.261 40.261 ecceobj 0.201 0.201 0.201 incobj 14.158 14.158 14.158 qmin 29.599 28.766 28.911 qmax 53.083 59.305 62.948 amean 39.546 41.017 42.814 amin 33.083 38.721 39.359 amax 42.570 44.641 47.254 emean 0.201 0.237 0.269 emin 0.065 0.158 0.165 emax 0.257 0.335 0.350 imean 12.110 12.555 13.716 imin 8.801 10.086 9.045 imax 14.780 15.273 17.794 excite_mean 0.293 0.323 0.360 fracstop 0.479 0.508 0.937 cjmean 2.957 2.947 2.931 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 188.0 177.1 179.9 kozaiamp 180.0 179.8 180.0