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 Fri Nov 22 02:09:30 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 40 observations of 40
# Arc: 11.06y
# First observation: 2013/09/10
# Last observation: 2024/10/01
# Chi-squared of fit: 8.90 DOF: 74 RMS: 0.08
# Min/Max residuals: -0.21 0.29
# Exact a, adot, b, bdot, g, gdot:
1.672947E-05 2.983624E-02 -3.715177E-06 -5.927471E-03 2.828270E-02 5.317457E-03
# Covariance matrix:
1.3766E-13 -4.4800E-14 -6.6335E-16 6.5673E-15 2.0017E-13 -1.2567E-13
-4.4800E-14 3.2029E-14 3.4134E-15 -5.5812E-15 -4.9742E-14 1.0158E-13
-6.6335E-16 3.4134E-15 6.0709E-14 -1.0374E-14 8.8850E-15 1.2700E-14
6.5673E-15 -5.5812E-15 -1.0374E-14 5.2708E-15 8.0202E-15 -2.0367E-14
2.0017E-13 -4.9742E-14 8.8850E-15 8.0202E-15 6.5400E-13 -1.7124E-13
-1.2567E-13 1.0158E-13 1.2700E-14 -2.0367E-14 -1.7124E-13 3.7023E-13
# lat0 lon0 xBary yBary zBary JD0
8.934466 -23.930583 -0.194517 0.153660 -0.976898 2456545.565778
# Heliocentric elements and errors
Epoch: 2456546.5000 = 2013/09/11
Mean Anomaly: 51.83276 +/- 0.018
Argument of Peri: 69.33513 +/- 0.024
Long of Asc Node: 193.61295 +/- 0.000
Inclination: 14.18170 +/- 0.000
Eccentricity: 0.19951281 +/- 0.0001
Semi-Major Axis: 40.10041281 +/- 0.0056
Time of Perihelion: 2443192.1256 +/- 5.4
Perihelion: 32.09986685 +/- 0.0050
Aphelion: 48.10095876 +/- 0.0071
Period (y) 253.9402 +/- 0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 32.90854765 +/- 0.0009
Ecliptic Y -14.38828166 +/- 0.0004
Ecliptic Z 5.49102302 +/- 0.0002
Ecliptic XDOT 0.00171162 +/- 0.0000
Ecliptic YDOT 0.00239639 +/- 0.0000
Ecliptic ZDOT -0.00048675 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 36.33371286 +/- 0.0008
Geocenter to KBO 35.35723379 +/- 0.0010
# 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 10.06500 22 18 15.70 -00 58 06.7 23.9g 13RL109 W84 C~3cl8 2013 09 13.17339 22 18 00.778 -00 59 57.44 23.0i 13RL109 W84 C~4yQp 2013 09 13.17339 22 18 00.78 -00 59 57.5 23.1i 13RL109 W84 C~3cl8 2013 09 13.17477 22 18 00.773 -00 59 57.60 22.7z 13RL109 W84 C~4yQp 2013 09 13.17477 22 18 00.77 -00 59 57.6 23.2z 13RL109 W84 C~3cl8 2013 09 23.04584 22 17 15.840 -01 05 51.86 23.7g 13RL109 W84 C~4yQp 2013 09 23.04584 22 17 15.84 -01 05 51.9 23.8g 13RL109 W84 C~3cl8 2013 09 30.05529 22 16 46.831 -01 10 01.64 23.1i 13RL109 W84 C~4yQp 2013 09 30.05529 22 16 46.83 -01 10 01.6 22.9i 13RL109 W84 C~3cl8 2013 10 10.09338 22 16 10.786 -01 15 47.20 23.2r 13RL109 W84 C~4yQp 2013 10 10.09338 22 16 10.79 -01 15 47.2 23.4r 13RL109 W84 C~3cl8 2013 10 11.07886 22 16 07.650 -01 16 20.06 22.4z 13RL109 W84 C~4yQp 2013 10 11.07886 22 16 07.65 -01 16 20.0 22.7z 13RL109 W84 C~3cl8 2013 10 12.04497 22 16 04.653 -01 16 51.78 23.1i 13RL109 W84 C~4yQp 2013 10 12.04497 22 16 04.65 -01 16 51.8 23.2i 13RL109 W84 C~3cl8 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 2013 11 23.05232 22 15 18.29 -01 33 51.9 23.6r 13RL109 W84 C~3cl8 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 08 26.22266 22 39 41.15 +00 04 10.2 23.9g 13RL109 W84 C~3cl8 2016 09 26.10604 22 37 13.168 -00 13 47.28 23.4r 13RL109 W84 C~4yQp 2016 09 26.10604 22 37 13.17 -00 13 47.3 23.4r 13RL109 W84 C~3cl8 2016 09 26.10742 22 37 13.163 -00 13 47.49 23.0i 13RL109 W84 C~4yQp 2016 09 26.10742 22 37 13.16 -00 13 47.5 23.1i 13RL109 W84 C~3cl8 2016 09 26.10879 22 37 13.136 -00 13 47.51 23.4g 13RL109 W84 C~4yQp 2016 09 26.10879 22 37 13.15 -00 13 47.4 24.0g 13RL109 W84 C~3cl8 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 -0.04 0.00 0.07
2 0.0000 0.00 -0.02 0.00 0.08
3 0.0085 0.00 0.08 0.00 0.01
4 0.0085 0.00 0.11 0.00 -0.05
5 0.0085 0.00 0.06 0.00 -0.10
6 0.0085 0.00 0.10 0.00 -0.10
7 0.0355 0.00 0.02 0.00 0.02
8 0.0355 0.00 0.02 0.00 -0.02
9 0.0547 0.00 -0.10 0.00 0.02
10 0.0547 0.00 -0.09 0.00 -0.02
11 0.0822 0.00 0.01 0.00 -0.01
12 0.0822 0.00 -0.05 0.00 -0.01
13 0.0849 0.00 -0.03 0.00 -0.06
14 0.0849 0.00 -0.03 0.00 -0.12
15 0.0876 0.00 -0.00 0.00 0.03
16 0.0876 0.00 -0.05 0.00 0.01
17 0.0902 0.00 -0.13 0.00 0.06
18 0.0902 0.00 0.01 0.00 -0.07
19 0.2026 0.00 0.11 0.00 0.04
20 0.2026 0.00 0.12 0.00 0.05
21 2.9546 0.00 -0.16 0.00 0.29
22 2.9546 0.00 0.11 0.00 -0.01
23 2.9600 0.00 0.00 0.00 -0.02
24 2.9600 0.00 -0.00 0.00 -0.06
25 2.9600 0.00 0.04 0.00 -0.08
26 3.0446 0.00 0.11 0.00 0.06
27 3.0446 0.00 0.08 0.00 0.08
28 3.0446 0.00 0.06 0.00 -0.09
29 3.0446 0.00 0.10 0.00 -0.08
30 3.0446 0.00 -0.00 0.00 0.06
31 3.0446 0.00 -0.21 0.00 -0.05
32 4.0467 0.00 -0.11 0.00 -0.02
33 4.0467 0.00 0.14 0.00 -0.01
34 4.0467 0.00 0.08 0.00 0.05
35 4.0467 0.00 -0.03 0.00 0.13
36 5.0190 0.00 0.02 0.00 0.03
37 5.0190 0.00 -0.17 0.00 0.04
38 11.0587 0.00 0.13 0.00 -0.11
39 11.0588 0.00 -0.10 0.00 0.04
40 11.0589 0.00 -0.01 0.00 -0.03
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:2 Type: CENTAURR SCATNEAR SCATNEAR axisobj 40.257 40.258 40.257 ecceobj 0.201 0.201 0.201 incobj 14.157 14.157 14.157 qmin 29.436 31.587 31.581 qmax 56.161 52.177 49.611 amean 40.577 41.024 39.774 amin 34.039 39.839 38.680 amax 43.986 42.410 40.881 emean 0.221 0.198 0.170 emin 0.108 0.162 0.126 emax 0.277 0.240 0.216 imean 12.072 16.528 11.871 imin 8.430 13.817 8.740 imax 14.961 19.087 15.258 excite_mean 0.306 0.347 0.268 fracstop 0.280 1.000 1.000 cjmean 2.957 2.928 2.975 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 181.7 186.5 178.6 kozaiamp 179.8 180.0 180.0