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: 13RJ109
# Created Sat Apr 20 01:14:47 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 70 observations of 70
# Arc: 7.04y
# First observation: 2013/09/08
# Last observation: 2020/09/21
# Chi-squared of fit: 10.80 DOF: 134 RMS: 0.07
# Min/Max residuals: -0.17 0.26
# Exact a, adot, b, bdot, g, gdot:
1.448436E-05 2.196327E-02 -5.291425E-06 -7.834763E-03 2.412902E-02 -3.053082E-03
# Covariance matrix:
7.2753E-14 -2.7259E-14 -2.5568E-15 4.8983E-15 3.7977E-14 -1.1559E-13
-2.7259E-14 2.7135E-14 5.0012E-15 -8.2280E-15 -2.8923E-15 1.9284E-13
-2.5568E-15 5.0012E-15 5.3572E-14 -1.5171E-14 1.5368E-15 4.5239E-14
4.8983E-15 -8.2280E-15 -1.5171E-14 8.6883E-15 -3.1424E-16 -7.3840E-14
3.7977E-14 -2.8923E-15 1.5368E-15 -3.1424E-16 1.1591E-13 4.8320E-15
-1.1559E-13 1.9284E-13 4.5239E-14 -7.3840E-14 4.8320E-15 1.7299E-12
# lat0 lon0 xBary yBary zBary JD0
5.343636 -11.747045 0.051067 0.093876 -1.002753 2456543.662238
# Heliocentric elements and errors
Epoch: 2456544.5000 = 2013/09/09
Mean Anomaly: 286.23844 +/- 0.014
Argument of Peri: 253.84138 +/- 0.019
Long of Asc Node: 182.47512 +/- 0.000
Inclination: 20.30295 +/- 0.000
Eccentricity: 0.13388648 +/- 0.0001
Semi-Major Axis: 43.31843446 +/- 0.0025
Time of Perihelion: 2477881.5881 +/- 8.3
Perihelion: 37.51868164 +/- 0.0033
Aphelion: 49.11818729 +/- 0.0038
Period (y) 285.1132 +/- 0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 41.37504243 +/- 0.0006
Ecliptic Y -8.65292712 +/- 0.0001
Ecliptic Z 3.85939868 +/- 0.0001
Ecliptic XDOT 0.00024455 +/- 0.0000
Ecliptic YDOT 0.00249214 +/- 0.0000
Ecliptic ZDOT -0.00091725 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 42.44607629 +/- 0.0006
Geocenter to KBO 41.44399406 +/- 0.0006
# Hcoef: 6.91
The following table shows the complete astrometric record for 13RJ109. 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 (13RJ109) followed by the observatory code and reference code for the source of the astrometry.
2013 09 08.16146 23 08 27.152 +00 16 32.57 24.0g 13RJ109 W84 C~4yQp 2013 09 08.16146 23 08 27.15 +00 16 32.6 24.2g 13RJ109 W84 C~3cl8 2013 09 13.18754 23 08 05.324 +00 13 49.61 22.5i 13RJ109 W84 C~4yQp 2013 09 13.18754 23 08 05.32 +00 13 49.6 22.6i 13RJ109 W84 C~3cl8 2013 09 30.097315 23 06 54.41 +00 04 30.4 22.7r 13RJ109 W84 C~35bW 2013 09 30.09784 23 06 54.411 +00 04 30.38 22.9r 13RJ109 W84 C~4yQp 2013 09 30.098785 23 06 54.41 +00 04 30.3 22.8i 13RJ109 W84 C~35bW 2013 09 30.09931 23 06 54.404 +00 04 30.31 22.6i 13RJ109 W84 C~4yQp 2013 09 30.109363 23 06 54.36 +00 04 29.9 23.0r 13RJ109 W84 C~35bW 2013 09 30.10989 23 06 54.364 +00 04 29.93 23.0r 13RJ109 W84 C~4yQp 2013 09 30.113843 23 06 54.35 +00 04 29.8 22.7i 13RJ109 W84 C~35bW 2013 09 30.11437 23 06 54.346 +00 04 29.79 22.6i 13RJ109 W84 C~4yQp 2013 10 11.09647 23 06 12.963 -00 01 25.08 22.4z 13RJ109 W84 C~4yQp 2013 10 11.09647 23 06 12.96 -00 01 25.1 22.3z 13RJ109 W84 C~3cl8 2013 10 12.06808 23 06 09.569 -00 01 55.49 22.4i 13RJ109 W84 C~4yQp 2013 10 12.06808 23 06 09.57 -00 01 55.5 22.5i 13RJ109 W84 C~3cl8 2013 10 12.06945 23 06 09.565 -00 01 55.37 22.3z 13RJ109 W84 C~4yQp 2013 10 12.06945 23 06 09.57 -00 01 55.4 22.6z 13RJ109 W84 C~3cl8 2013 10 13.039225 23 06 06.22 -00 02 25.8 22.4z 13RJ109 W84 C~36Su 2013 10 13.03975 23 06 06.217 -00 02 25.76 22.7z 13RJ109 W84 C~4yQp 2013 10 13.03975 23 06 06.22 -00 02 25.8 22.8z 13RJ109 W84 C~3cl8 2013 10 13.12418 23 06 05.925 -00 02 28.28 22.9i 13RJ109 W84 C~4yQp 2013 10 13.12418 23 06 05.92 -00 02 28.3 22.9i 13RJ109 W84 C~3cl8 2013 11 23.06358 23 04 43.173 -00 18 57.30 23.2r 13RJ109 W84 C~4yQp 2013 11 23.06358 23 04 43.17 -00 18 57.3 23.3r 13RJ109 W84 C~3cl8 2016 08 01.48420 23 26 58.69 +00 47 10.8 23.7z 13RJ109 T09 C~7gpU 2016 08 01.51671 23 26 58.60 +00 47 10.2 23.1z 13RJ109 T09 C~7gpU 2016 08 01.54112 23 26 58.52 +00 47 09.7 23.5z 13RJ109 T09 C~7gpU 2016 08 01.54931 23 26 58.49 +00 47 09.5 23.3z 13RJ109 T09 C~7gpU 2016 08 01.56281 23 26 58.45 +00 47 09.2 23.2z 13RJ109 T09 C~7gpU 2016 08 09.43274 23 26 32.90 +00 44 17.4 23.3y 13RJ109 T09 C~7gpU 2016 08 09.44578 23 26 32.86 +00 44 17.0 23.4y 13RJ109 T09 C~7gpU 2016 08 09.45746 23 26 32.81 +00 44 16.9 23.2y 13RJ109 T09 C~7gpU 2016 08 09.47657 23 26 32.76 +00 44 16.4 23.9y 13RJ109 T09 C~7gpU 2016 08 09.50679 23 26 32.66 +00 44 15.7 24.0y 13RJ109 T09 C~7gpU 2016 08 09.52904 23 26 32.57 +00 44 15.0 23.8y 13RJ109 T09 C~7gpU 2016 08 09.54843 23 26 32.49 +00 44 14.7 23.4y 13RJ109 T09 C~7gpU 2016 09 07.37087 23 24 37.00 +00 30 32.9 23.3r 13RJ109 T09 C~7gpU 2016 09 07.39898 23 24 36.88 +00 30 32.1 23.4r 13RJ109 T09 C~7gpU 2016 09 07.44284 23 24 36.68 +00 30 30.8 23.0r 13RJ109 T09 C~7gpU 2016 09 07.44502 23 24 36.67 +00 30 30.7 23.0r 13RJ109 T09 C~7gpU 2016 09 07.47602 23 24 36.54 +00 30 29.7 23.1r 13RJ109 T09 C~7gpU 2016 09 26.13353 23 23 15.624 +00 20 10.45 23.0r 13RJ109 W84 C~4yQp 2016 09 26.13353 23 23 15.62 +00 20 10.5 22.9r 13RJ109 W84 C~3cl8 2016 09 26.13489 23 23 15.614 +00 20 10.36 22.8i 13RJ109 W84 C~4yQp 2016 09 26.13489 23 23 15.61 +00 20 10.4 22.8i 13RJ109 W84 C~3cl8 2016 09 26.13627 23 23 15.613 +00 20 10.43 23.2g 13RJ109 W84 C~4yQp 2016 09 26.13627 23 23 15.61 +00 20 10.4 23.5g 13RJ109 W84 C~3cl8 2016 09 30.12434 23 22 58.915 +00 17 56.91 22.8z 13RJ109 W84 C~4yQp 2016 09 30.12434 23 22 58.91 +00 17 56.9 22.8z 13RJ109 W84 C~3cl8 2016 10 05.13613 23 22 38.569 +00 15 10.93 22.8r 13RJ109 W84 C~4yQp 2016 10 05.13613 23 22 38.57 +00 15 10.9 22.8r 13RJ109 W84 C~3cl8 2016 10 05.13751 23 22 38.561 +00 15 10.85 22.8i 13RJ109 W84 C~4yQp 2016 10 05.13751 23 22 38.56 +00 15 10.8 22.8i 13RJ109 W84 C~3cl8 2016 10 05.13890 23 22 38.553 +00 15 10.81 23.9g 13RJ109 W84 C~4yQp 2016 10 05.13890 23 22 38.55 +00 15 10.8 23.8g 13RJ109 W84 C~3cl8 2017 10 11.18778 23 27 41.481 +00 16 34.26 22.7i 13RJ109 W84 C~4yQp 2017 11 08.06827 23 26 16.577 +00 03 28.51 23.7g 13RJ109 W84 C~4yQp 2017 11 08.069120 23 26 16.57 +00 03 28.7 23.2r 13RJ109 W84 C~35bW 2017 11 08.06964 23 26 16.577 +00 03 28.60 23.2r 13RJ109 W84 C~4yQp 2017 11 09.04198 23 26 14.552 +00 03 06.22 23.9g 13RJ109 W84 C~4yQp 2017 11 09.042836 23 26 14.56 +00 03 06.3 23.1r 13RJ109 W84 C~35bW 2017 11 09.04336 23 26 14.556 +00 03 06.32 23.1r 13RJ109 W84 C~4yQp 2018 09 17.26605 23 34 51.029 +00 34 35.26 22.4i 13RJ109 W84 C~4yQp 2018 09 17.26746 23 34 51.026 +00 34 35.31 22.9r 13RJ109 W84 C~4yQp 2018 09 17.26884 23 34 51.023 +00 34 35.24 23.9g 13RJ109 W84 C~4yQp 2018 10 01.22900 23 33 50.606 +00 26 44.90 22.3z 13RJ109 W84 C~4yQp 2020 09 21.158990 23 45 36.272 +00 41 28.73 22.8G 13RJ109 G37 C~49w4 2020 09 21.195910 23 45 36.110 +00 41 27.45 13RJ109 G37 C~49w4 2020 09 21.264720 23 45 35.807 +00 41 25.18 13RJ109 G37 C~49w4
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 -0.03 0.00 0.02
2 0.0000 0.00 -0.06 0.00 0.05
3 0.0138 0.00 -0.05 0.00 0.02
4 0.0138 0.00 0.01 0.00 0.03
5 0.0601 0.00 -0.00 0.00 0.07
6 0.0601 0.00 0.04 0.00 0.07
7 0.0601 0.00 0.09 0.00 0.02
8 0.0601 0.00 0.03 0.00 0.05
9 0.0601 0.00 -0.02 0.00 -0.03
10 0.0601 0.00 0.07 0.00 0.02
11 0.0601 0.00 0.10 0.00 0.02
12 0.0601 0.00 0.07 0.00 0.02
13 0.0902 0.00 -0.02 0.00 -0.10
14 0.0902 0.00 0.02 0.00 -0.08
15 0.0928 0.00 0.03 0.00 -0.02
16 0.0928 0.00 0.04 0.00 -0.03
17 0.0928 0.00 0.12 0.00 0.11
18 0.0928 0.00 0.04 0.00 0.14
19 0.0955 0.00 -0.04 0.00 -0.08
20 0.0955 0.00 -0.02 0.00 -0.06
21 0.0955 0.00 -0.06 0.00 -0.02
22 0.0957 0.00 -0.09 0.00 0.06
23 0.0957 0.00 -0.02 0.00 0.08
24 0.2078 0.00 -0.07 0.00 -0.09
25 0.2078 0.00 -0.03 0.00 -0.09
26 2.8975 0.00 -0.09 0.00 0.02
27 2.8976 0.00 0.07 0.00 0.07
28 2.8977 0.00 0.01 0.00 0.06
29 2.8977 0.00 -0.06 0.00 0.02
30 2.8977 0.00 -0.03 0.00 -0.01
31 2.9193 0.00 -0.07 0.00 0.03
32 2.9193 0.00 0.02 0.00 -0.06
33 2.9194 0.00 -0.11 0.00 0.12
34 2.9194 0.00 0.15 0.00 0.07
35 2.9195 0.00 0.26 0.00 0.08
36 2.9196 0.00 0.09 0.00 -0.10
37 2.9196 0.00 -0.07 0.00 0.06
38 2.9985 0.00 -0.10 0.00 -0.15
39 2.9986 0.00 -0.03 0.00 -0.05
40 2.9987 0.00 -0.11 0.00 0.07
41 2.9987 0.00 -0.12 0.00 0.04
42 2.9988 0.00 -0.00 0.00 0.04
43 3.0499 0.00 -0.02 0.00 0.02
44 3.0499 0.00 0.04 0.00 -0.03
45 3.0499 0.00 -0.08 0.00 -0.03
46 3.0499 0.00 -0.02 0.00 -0.07
47 3.0499 0.00 0.01 0.00 0.02
48 3.0499 0.00 0.05 0.00 0.05
49 3.0608 0.00 -0.02 0.00 -0.03
50 3.0608 0.00 0.06 0.00 -0.02
51 3.0745 0.00 0.07 0.00 -0.05
52 3.0745 0.00 0.06 0.00 -0.02
53 3.0745 0.00 0.00 0.00 -0.11
54 3.0745 0.00 0.02 0.00 -0.06
55 3.0745 0.00 -0.06 0.00 -0.06
56 3.0745 0.00 -0.02 0.00 -0.05
57 4.0904 0.00 0.05 0.00 -0.17
58 4.1668 0.00 0.02 0.00 -0.07
59 4.1668 0.00 -0.06 0.00 0.14
60 4.1668 0.00 0.06 0.00 0.05
61 4.1694 0.00 -0.01 0.00 -0.07
62 4.1694 0.00 0.14 0.00 0.03
63 4.1694 0.00 0.10 0.00 0.06
64 5.0242 0.00 0.02 0.00 -0.04
65 5.0242 0.00 0.06 0.00 0.06
66 5.0243 0.00 0.11 0.00 0.03
67 5.0625 0.00 -0.13 0.00 0.09
68 7.0363 0.00 -0.08 0.00 0.01
69 7.0364 0.00 -0.04 0.00 -0.01
70 7.0366 0.00 0.04 0.00 0.05
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.
13RJ109 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 43.527 43.527 43.527 ecceobj 0.134 0.134 0.134 incobj 20.246 20.246 20.246 qmin 36.938 36.975 36.938 qmax 50.173 50.128 50.174 amean 43.387 43.387 43.387 amin 43.041 43.032 43.039 amax 43.777 43.773 43.778 emean 0.130 0.130 0.130 emin 0.117 0.116 0.117 emax 0.146 0.146 0.146 imean 20.335 20.335 20.335 imin 19.819 19.819 19.820 imax 20.819 20.820 20.819 excite_mean 0.371 0.371 0.371 fracstop 1.000 1.000 1.000 cjmean 2.926 2.926 2.926 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 179.4 179.7 179.4 kozaiamp 179.9 179.9 180.0