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: 13RF109 # Created Fri May 3 01:14:47 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 79 observations of 79 # Arc: 7.12y # First observation: 2013/09/02 # Last observation: 2020/10/15 # Chi-squared of fit: 21.25 DOF: 152 RMS: 0.09 # Min/Max residuals: -0.36 0.39 # Exact a, adot, b, bdot, g, gdot: 1.578673E-05 2.552745E-02 -1.994095E-06 -3.584027E-03 2.534745E-02 -5.473026E-04 # Covariance matrix: 1.1886E-13 -4.3455E-14 -5.2013E-15 4.4304E-15 4.8100E-14 -1.8888E-13 -4.3455E-14 3.4562E-14 4.5217E-15 -4.4273E-15 9.0347E-15 1.9493E-13 -5.2013E-15 4.5217E-15 6.3616E-14 -1.6457E-14 -2.7124E-16 3.0527E-14 4.4304E-15 -4.4273E-15 -1.6457E-14 6.3019E-15 -1.0101E-15 -2.9838E-14 4.8100E-14 9.0347E-15 -2.7124E-16 -1.0101E-15 1.1210E-13 5.6389E-14 -1.8888E-13 1.9493E-13 3.0527E-14 -2.9838E-14 5.6389E-14 1.3132E-12 # lat0 lon0 xBary yBary zBary JD0 -5.607748 -0.608086 0.340206 -0.092842 -0.946494 2456537.838463 # Heliocentric elements and errors Epoch: 2456538.5000 = 2013/09/03 Mean Anomaly: 333.04102 +/- 0.037 Argument of Peri: 245.07793 +/- 0.042 Long of Asc Node: 144.90112 +/- 0.001 Inclination: 9.72531 +/- 0.000 Eccentricity: 0.06637960 +/- 0.0000 Semi-Major Axis: 42.89473514 +/- 0.0024 Time of Perihelion: 2464222.8201 +/- 13.2 Perihelion: 40.04739994 +/- 0.0028 Aphelion: 45.74207035 +/- 0.0031 Period (y) 280.9404 +/- 0.02 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 40.20780960 +/- 0.0005 Ecliptic Y -0.76387060 +/- 0.0000 Ecliptic Z -3.85521374 +/- 0.0001 Ecliptic XDOT -0.00007358 +/- 0.0000 Ecliptic YDOT 0.00275707 +/- 0.0000 Ecliptic ZDOT -0.00037935 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 40.39945247 +/- 0.0005 Geocenter to KBO 39.45174581 +/- 0.0005 # Hcoef: 6.53
The following table shows the complete astrometric record for 13RF109. 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 (13RF109) followed by the observatory code and reference code for the source of the astrometry.
2013 09 02.337685 00 06 43.08 -05 23 07.6 23.4g 13RF109 W84 C~35bW 2013 09 02.33821 00 06 43.081 -05 23 07.76 23.9g 13RF109 W84 C~4yQo 2013 09 08.19449 00 06 18.088 -05 26 18.20 22.5g 13RF109 W84 C~4yQo 2013 09 08.19449 00 06 18.09 -05 26 18.4 23.5g 13RF109 W84 C~3cl7 2013 09 10.32435 00 06 08.749 -05 27 28.04 23.6g 13RF109 W84 C~4yQo 2013 09 10.32435 00 06 08.75 -05 27 28.0 23.6g 13RF109 W84 C~3cl7 2013 10 13.15178 00 03 41.183 -05 44 10.28 22.1i 13RF109 W84 C~4yQo 2013 10 13.15178 00 03 41.18 -05 44 10.3 22.2i 13RF109 W84 C~3cl7 2013 10 13.15458 00 03 41.172 -05 44 10.44 21.8z 13RF109 W84 C~4yQo 2013 10 13.15458 00 03 41.17 -05 44 10.5 21.9z 13RF109 W84 C~3cl7 2013 12 02.107014 00 01 17.92 -05 55 52.4 22.7r 13RF109 W84 C~35bW 2013 12 02.10754 00 01 17.927 -05 55 52.66 22.8r 13RF109 W84 C~4yQo 2014 08 18.29436 00 13 23.334 -04 51 20.56 22.1i 13RF109 W84 C~4yQo 2014 08 18.29436 00 13 23.33 -04 51 20.6 22.1i 13RF109 W84 C~3cl7 2014 08 18.29573 00 13 23.334 -04 51 20.56 21.8z 13RF109 W84 C~4yQo 2014 11 13.12250 00 07 32.572 -05 30 41.94 22.1i 13RF109 W84 C~4yQo 2014 11 13.12250 00 07 32.57 -05 30 41.9 22.1i 13RF109 W84 C~3cl7 2014 11 14.029676 00 07 30.17 -05 30 52.5 22.2z 13RF109 W84 C~35bW 2014 11 14.03021 00 07 30.170 -05 30 52.45 22.4z 13RF109 W84 C~4yQo 2014 11 14.03021 00 07 30.17 -05 30 52.5 22.4z 13RF109 W84 C~3cl7 2014 11 14.11836 00 07 29.927 -05 30 53.56 22.7r 13RF109 W84 C~4yQo 2014 11 14.11836 00 07 29.93 -05 30 53.6 22.8r 13RF109 W84 C~3cl7 2014 11 16.05964 00 07 24.974 -05 31 14.53 22.1z 13RF109 W84 C~4yQo 2014 11 16.05964 00 07 24.97 -05 31 14.5 22.2z 13RF109 W84 C~3cl7 2015 08 18.322905 00 19 05.33 -04 27 15.5 22.6r 13RF109 W84 C~35bW 2015 08 18.32343 00 19 05.341 -04 27 15.66 22.6r 13RF109 W84 C~4yQo 2015 11 03.09876 00 13 45.114 -05 04 24.55 22.4r 13RF109 W84 C~4yQo 2015 11 03.09876 00 13 45.11 -05 04 24.5 22.6r 13RF109 W84 C~3cl7 2016 09 05.24094 00 23 37.705 -04 12 46.39 22.2i 13RF109 W84 C~4yQo 2016 09 05.24094 00 23 37.70 -04 12 46.4 22.4i 13RF109 W84 C~3cl7 2016 09 05.24232 00 23 37.697 -04 12 46.40 22.7r 13RF109 W84 C~4yQo 2016 09 05.24232 00 23 37.70 -04 12 46.4 22.7r 13RF109 W84 C~3cl7 2016 09 09.16597 00 23 21.235 -04 14 54.41 21.9z 13RF109 W84 C~4yQo 2016 09 09.16597 00 23 21.24 -04 14 54.4 22.0z 13RF109 W84 C~3cl7 2016 09 09.34807 00 23 20.446 -04 15 00.47 23.4g 13RF109 W84 C~4yQo 2016 09 09.34807 00 23 20.44 -04 15 00.4 23.5g 13RF109 W84 C~3cl7 2016 09 30.18411 00 21 46.879 -04 26 12.73 22.6r 13RF109 W84 C~4yQo 2016 09 30.18411 00 21 46.88 -04 26 12.7 22.6r 13RF109 W84 C~3cl7 2016 09 30.18548 00 21 46.880 -04 26 12.78 22.1i 13RF109 W84 C~4yQo 2016 09 30.18548 00 21 46.88 -04 26 12.8 22.2i 13RF109 W84 C~3cl7 2016 09 30.18685 00 21 46.876 -04 26 12.84 23.7g 13RF109 W84 C~4yQo 2016 09 30.18685 00 21 46.88 -04 26 12.8 23.6g 13RF109 W84 C~3cl7 2016 09 30.18822 00 21 46.863 -04 26 12.84 22.5r 13RF109 W84 C~4yQo 2016 09 30.18822 00 21 46.86 -04 26 12.8 22.5r 13RF109 W84 C~3cl7 2016 09 30.18960 00 21 46.855 -04 26 12.89 22.1i 13RF109 W84 C~4yQo 2016 09 30.18960 00 21 46.85 -04 26 12.9 22.1i 13RF109 W84 C~3cl8 2016 09 30.19096 00 21 46.850 -04 26 12.95 23.3g 13RF109 W84 C~4yQo 2016 09 30.19096 00 21 46.85 -04 26 13.0 23.3g 13RF109 W84 C~3cl8 2016 10 01.19162 00 21 42.251 -04 26 43.96 22.2r 13RF109 W84 C~4yQo 2016 10 01.19162 00 21 42.25 -04 26 43.9 22.4r 13RF109 W84 C~3cl8 2016 10 01.19299 00 21 42.248 -04 26 43.94 22.1i 13RF109 W84 C~4yQo 2016 10 01.19299 00 21 42.25 -04 26 43.9 22.2i 13RF109 W84 C~3cl8 2016 10 01.19436 00 21 42.246 -04 26 44.04 23.6g 13RF109 W84 C~4yQo 2016 10 01.19436 00 21 42.25 -04 26 44.0 23.7g 13RF109 W84 C~3cl8 2016 11 18.14793 00 18 37.768 -04 44 14.68 21.2z 13RF109 W84 C~4yQo 2016 11 18.14793 00 18 37.77 -04 44 14.6 21.6z 13RF109 W84 C~3cl8 2017 09 24.307488 00 27 58.03 -03 58 35.8 22.1i 13RF109 W84 C~35bW 2017 09 24.30801 00 27 58.038 -03 58 35.81 22.1i 13RF109 W84 C~4yQo 2017 09 25.260556 00 27 53.69 -03 59 06.5 22.6r 13RF109 W84 C~35bW 2017 09 25.26109 00 27 53.691 -03 59 06.57 22.6r 13RF109 W84 C~4yQo 2017 09 25.26245 00 27 53.678 -03 59 06.46 23.2g 13RF109 W84 C~4yQo 2017 09 26.301123 00 27 48.92 -03 59 39.8 22.1i 13RF109 W84 C~35bW 2017 09 26.30165 00 27 48.923 -03 59 39.85 22.1i 13RF109 W84 C~4yQo 2017 09 27.259769 00 27 44.53 -04 00 10.3 23.7g 13RF109 W84 C~35bW 2017 09 27.26030 00 27 44.527 -04 00 10.34 23.2g 13RF109 W84 C~4yQo 2017 10 17.238796 00 26 14.03 -04 09 58.9 22.7r 13RF109 W84 C~35bW 2017 10 17.23932 00 26 14.029 -04 09 58.92 22.5r 13RF109 W84 C~4yQo 2017 10 27.169398 00 25 32.44 -04 14 02.2 21.8z 13RF109 W84 C~35bW 2017 10 27.16992 00 25 32.441 -04 14 02.22 21.6z 13RF109 W84 C~4yQo 2017 10 29.123333 00 25 24.73 -04 14 45.2 21.8z 13RF109 W84 C~35bW 2018 09 09.34532 00 34 48.069 -03 25 44.26 22.6r 13RF109 W84 C~4yQo 2018 11 08.17258 00 30 30.440 -03 53 30.12 22.7r 13RF109 W84 C~4yQo 2018 11 26.08235 00 29 39.479 -03 57 02.11 24.0g 13RF109 W84 C~4yQo 2020 09 16.41215 00 45 43.210 -02 40 05.13 22.6w 13RF109 F51 C~48Af 2020 09 16.42997 00 45 43.098 -02 40 06.19 22.5w 13RF109 F51 C~48Af 2020 09 16.44785 00 45 43.034 -02 40 06.64 22.6w 13RF109 F51 C~48Af 2020 10 15.47159 00 43 31.270 -02 55 07.70 22.5w 13RF109 F51 C~49w4 2020 10 15.48922 00 43 31.191 -02 55 08.58 22.6w 13RF109 F51 C~49w4 2020 10 15.52470 00 43 31.047 -02 55 08.97 22.4w 13RF109 F51 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 0.05 0.00 -0.03
2 0.0000 0.00 0.09 0.00 -0.18
3 0.0160 0.00 -0.06 0.00 -0.03
4 0.0160 0.00 -0.09 0.00 0.17
5 0.0219 0.00 0.05 0.00 -0.00
6 0.0219 0.00 0.03 0.00 -0.04
7 0.1117 0.00 -0.05 0.00 0.10
8 0.1117 0.00 -0.09 0.00 0.08
9 0.1118 0.00 -0.06 0.00 -0.05
10 0.1118 0.00 -0.03 0.00 0.01
11 0.2485 0.00 -0.04 0.00 0.18
12 0.2485 0.00 0.07 0.00 -0.08
13 0.9581 0.00 -0.09 0.00 -0.06
14 0.9581 0.00 -0.03 0.00 -0.02
15 0.9581 0.00 0.04 0.00 0.02
16 1.1959 0.00 -0.05 0.00 0.06
17 1.1959 0.00 -0.02 0.00 0.02
18 1.1983 0.00 0.10 0.00 0.06
19 1.1983 0.00 0.12 0.00 0.06
20 1.1983 0.00 0.12 0.00 0.11
21 1.1986 0.00 0.10 0.00 -0.03
22 1.1986 0.00 0.06 0.00 0.01
23 1.2039 0.00 -0.08 0.00 -0.00
24 1.2039 0.00 -0.02 0.00 -0.03
25 1.9575 0.00 -0.18 0.00 0.08
26 1.9575 0.00 0.01 0.00 -0.06
27 2.1677 0.00 -0.18 0.00 0.08
28 2.1677 0.00 -0.12 0.00 0.03
29 3.0086 0.00 -0.03 0.00 -0.00
30 3.0086 0.00 0.04 0.00 0.01
31 3.0086 0.00 0.01 0.00 0.04
32 3.0086 0.00 0.05 0.00 0.04
33 3.0194 0.00 0.15 0.00 -0.01
34 3.0194 0.00 0.07 0.00 -0.02
35 3.0199 0.00 0.01 0.00 -0.06
36 3.0199 0.00 0.10 0.00 -0.13
37 3.0769 0.00 -0.01 0.00 0.04
38 3.0769 0.00 -0.02 0.00 0.01
39 3.0769 0.00 0.09 0.00 -0.01
40 3.0769 0.00 0.09 0.00 0.01
41 3.0769 0.00 0.18 0.00 0.03
42 3.0769 0.00 0.12 0.00 -0.01
43 3.0769 0.00 -0.02 0.00 0.07
44 3.0769 0.00 0.02 0.00 0.03
45 3.0769 0.00 -0.07 0.00 0.02
46 3.0769 0.00 0.00 0.00 0.03
47 3.0769 0.00 0.02 0.00 -0.04
48 3.0769 0.00 0.02 0.00 0.01
49 3.0797 0.00 -0.06 0.00 -0.01
50 3.0797 0.00 -0.04 0.00 -0.07
51 3.0797 0.00 0.04 0.00 0.03
52 3.0797 0.00 0.01 0.00 -0.01
53 3.0797 0.00 0.13 0.00 -0.03
54 3.0797 0.00 0.07 0.00 -0.07
55 3.2110 0.00 0.02 0.00 -0.06
56 3.2110 0.00 -0.01 0.00 -0.14
57 4.0602 0.00 -0.19 0.00 0.12
58 4.0602 0.00 -0.03 0.00 0.13
59 4.0628 0.00 -0.01 0.00 0.00
60 4.0628 0.00 0.04 0.00 -0.05
61 4.0628 0.00 -0.06 0.00 0.10
62 4.0656 0.00 -0.06 0.00 -0.05
63 4.0656 0.00 0.03 0.00 -0.08
64 4.0682 0.00 -0.01 0.00 -0.06
65 4.0682 0.00 -0.02 0.00 -0.08
66 4.1229 0.00 -0.02 0.00 -0.01
67 4.1229 0.00 -0.00 0.00 -0.02
68 4.1501 0.00 0.05 0.00 0.06
69 4.1501 0.00 0.10 0.00 0.05
70 4.1555 0.00 -0.04 0.00 -0.13
71 5.0185 0.00 0.04 0.00 -0.04
72 5.1823 0.00 0.01 0.00 -0.07
73 5.2313 0.00 0.02 0.00 -0.07
74 7.0392 0.00 0.33 0.00 0.39
75 7.0393 0.00 -0.17 0.00 -0.09
76 7.0393 0.00 0.05 0.00 0.04
77 7.1188 0.00 -0.21 0.00 0.03
78 7.1188 0.00 -0.18 0.00 -0.36
79 7.1189 0.00 0.10 0.00 0.24
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.
13RF109 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.129 43.129 43.129 ecceobj 0.071 0.071 0.071 incobj 9.703 9.703 9.703 qmin 38.933 38.964 38.903 qmax 47.258 47.214 47.239 amean 42.925 42.925 42.925 amin 42.587 42.588 42.580 amax 43.294 43.277 43.291 emean 0.074 0.074 0.074 emin 0.059 0.059 0.059 emax 0.092 0.091 0.091 imean 9.085 9.085 9.085 imin 8.185 8.185 8.185 imax 9.914 9.914 9.911 excite_mean 0.174 0.174 0.174 fracstop 1.000 1.000 1.000 cjmean 3.052 3.052 3.052 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 184.7 184.8 184.6 kozaiamp 180.0 180.0 179.9