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: 13RR109
# Created Wed Dec 25 02:09:27 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 50 observations of 50
# Arc: 9.15y
# First observation: 2013/09/05
# Last observation: 2022/10/29
# Chi-squared of fit: 19.18 DOF: 94 RMS: 0.11
# Min/Max residuals: -0.29 0.36
# Exact a, adot, b, bdot, g, gdot:
1.574009E-05 2.165976E-02 -6.288912E-07 -8.617525E-04 2.259125E-02 4.911171E-04
# Covariance matrix:
1.5114E-13 -5.9019E-14 -1.9568E-15 1.9302E-15 4.7676E-14 -2.6534E-13
-5.9019E-14 3.6594E-14 1.6906E-15 -1.4261E-15 -9.9568E-15 1.9595E-13
-1.9568E-15 1.6906E-15 8.7251E-14 -1.7632E-14 5.6181E-16 1.0431E-14
1.9302E-15 -1.4261E-15 -1.7632E-14 5.4095E-15 6.0065E-16 -8.9649E-15
4.7676E-14 -9.9568E-15 5.6181E-16 6.0065E-16 1.3558E-13 -8.2950E-14
-2.6534E-13 1.9595E-13 1.0431E-14 -8.9649E-15 -8.2950E-14 1.2319E-12
# lat0 lon0 xBary yBary zBary JD0
3.661409 -11.691622 0.103688 0.064189 -1.001903 2456540.632498
# Heliocentric elements and errors
Epoch: 2456540.5000 = 2013/09/05
Mean Anomaly: 17.56285 +/- 0.039
Argument of Peri: 102.52929 +/- 0.045
Long of Asc Node: 225.89421 +/- 0.002
Inclination: 4.23288 +/- 0.000
Eccentricity: 0.05724391 +/- 0.0001
Semi-Major Axis: 47.86283371 +/- 0.0037
Time of Perihelion: 2450640.0047 +/- 13.2
Perihelion: 45.12297815 +/- 0.0046
Aphelion: 50.60268927 +/- 0.0050
Period (y) 331.1356 +/- 0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 44.22005973 +/- 0.0007
Ecliptic Y -9.25354138 +/- 0.0002
Ecliptic Z 2.82673816 +/- 0.0000
Ecliptic XDOT 0.00059045 +/- 0.0000
Ecliptic YDOT 0.00255600 +/- 0.0000
Ecliptic ZDOT -0.00010028 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 45.26622417 +/- 0.0007
Geocenter to KBO 44.26494584 +/- 0.0007
# Hcoef: 6.91
The following table shows the complete astrometric record for 13RR109. 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 (13RR109) followed by the observatory code and reference code for the source of the astrometry.
2013 09 05.13172 23 11 16.635 -01 15 07.68 24.3g 13RR109 W84 C~4yQq 2013 09 08.17151 23 11 04.111 -01 16 27.61 23.4g 13RR109 W84 C~4yQq 2013 09 11.25883 23 10 51.385 -01 17 49.91 23.3g 13RR109 W84 C~4yQq 2013 09 29.20901 23 09 39.234 -01 25 53.71 23.3r 13RR109 W84 C~4yQq 2013 09 29.21180 23 09 39.226 -01 25 53.74 23.1i 13RR109 W84 C~4yQq 2013 10 12.08076 23 08 52.807 -01 31 24.81 22.7i 13RR109 W84 C~4yQq 2013 10 12.08921 23 08 52.792 -01 31 25.14 22.5z 13RR109 W84 C~4yQq 2013 10 13.04683 23 08 49.623 -01 31 48.64 22.9z 13RR109 W84 C~4yQq 2013 10 28.02795 23 08 06.376 -01 37 22.90 23.2r 13RR109 W84 C~4yQq 2013 10 28.02934 23 08 06.364 -01 37 23.00 23.1i 13RR109 W84 C~4yQq 2013 11 23.07047 23 07 27.556 -01 43 44.82 23.5r 13RR109 W84 C~4yQq 2015 11 01.05271 23 17 10.245 -00 46 29.16 23.1r 13RR109 W84 C~4yQq 2015 11 01.05410 23 17 10.259 -00 46 29.26 23.0i 13RR109 W84 C~4yQq 2015 11 01.05547 23 17 10.253 -00 46 29.04 24.1g 13RR109 W84 C~4yQq 2016 08 01.43571 23 27 14.05 +00 15 50.9 23.2z 13RR109 T09 C~7gpU 2016 08 01.44598 23 27 14.03 +00 15 50.7 23.6z 13RR109 T09 C~7gpU 2016 08 01.48420 23 27 13.91 +00 15 50.0 23.5z 13RR109 T09 C~7gpU 2016 08 01.51671 23 27 13.80 +00 15 49.5 24.0z 13RR109 T09 C~7gpU 2016 08 01.58729 23 27 13.59 +00 15 48.4 23.2z 13RR109 T09 C~7gpU 2016 08 09.42245 23 26 49.53 +00 13 34.4 23.4y 13RR109 T09 C~7gpU 2016 08 09.45205 23 26 49.42 +00 13 34.0 23.5y 13RR109 T09 C~7gpU 2016 08 09.47657 23 26 49.35 +00 13 33.3 23.1y 13RR109 T09 C~7gpU 2016 08 09.52904 23 26 49.17 +00 13 32.5 23.7y 13RR109 T09 C~7gpU 2016 08 09.54843 23 26 49.09 +00 13 32.0 23.4y 13RR109 T09 C~7gpU 2016 09 26.13353 23 23 43.648 -00 06 00.77 23.5r 13RR109 W84 C~4yQq 2016 09 26.13489 23 23 43.639 -00 06 00.92 22.8i 13RR109 W84 C~4yQq 2016 09 26.13627 23 23 43.640 -00 06 01.03 24.3g 13RR109 W84 C~4yQq 2017 09 13.36589 23 29 14.02 +00 26 04.8 23.0y 13RR109 T09 C~85Dt 2017 09 13.36941 23 29 14.00 +00 26 04.6 23.0y 13RR109 T09 C~85Dt 2017 09 13.38367 23 29 13.94 +00 26 04.3 22.7y 13RR109 T09 C~85Dt 2017 09 13.39746 23 29 13.89 +00 26 04.0 22.9y 13RR109 T09 C~85Dt 2017 09 13.40105 23 29 13.87 +00 26 03.8 22.6y 13RR109 T09 C~85Dt 2017 09 13.41178 23 29 13.83 +00 26 03.6 22.8y 13RR109 T09 C~85Dt 2017 09 13.41536 23 29 13.82 +00 26 03.5 22.8y 13RR109 T09 C~85Dt 2017 09 27.27630 23 28 17.32 +00 19 44.1 23.8z 13RR109 T09 C~7bI7 2017 09 27.30436 23 28 17.20 +00 19 43.6 23.8z 13RR109 T09 C~7bI7 2017 09 27.31840 23 28 17.13 +00 19 43.3 24.1z 13RR109 T09 C~7bI7 2017 09 27.33246 23 28 17.08 +00 19 42.6 24.4z 13RR109 T09 C~7bI7 2017 09 27.34659 23 28 17.02 +00 19 42.4 23.8z 13RR109 T09 C~7bI7 2017 10 11.18778 23 27 24.305 +00 13 31.02 22.7i 13RR109 W84 C~4yQq 2017 11 08.06827 23 26 04.182 +00 03 06.51 24.3g 13RR109 W84 C~4yQq 2017 11 08.06964 23 26 04.167 +00 03 06.55 23.3r 13RR109 W84 C~4yQq 2017 11 09.04198 23 26 02.257 +00 02 49.57 23.9g 13RR109 W84 C~4yQq 2017 11 09.04336 23 26 02.245 +00 02 49.61 23.4r 13RR109 W84 C~4yQq 2020 09 21.156020 23 42 33.313 +01 40 51.18 23.0G 13RR109 G37 C~49w4 2020 09 21.193000 23 42 33.157 +01 40 49.97 13RR109 G37 C~49w4 2020 09 21.261690 23 42 32.871 +01 40 48.15 13RR109 G37 C~49w4 2022 10 29.096870 23 49 28.640 +02 16 27.23 23.4G 13RR109 G37 C~5z08 2022 10 29.135190 23 49 28.533 +02 16 26.46 13RR109 G37 C~5z08 2022 10 29.174000 23 49 28.407 +02 16 25.55 13RR109 G37 C~5z08
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 -0.11 0.00 -0.04
2 0.0083 0.00 0.03 0.00 0.10
3 0.0168 0.00 0.36 0.00 0.10
4 0.0659 0.00 -0.05 0.00 0.04
5 0.0659 0.00 -0.01 0.00 0.09
6 0.1012 0.00 -0.15 0.00 0.02
7 0.1012 0.00 0.06 0.00 -0.10
8 0.1038 0.00 0.11 0.00 -0.19
9 0.1448 0.00 -0.05 0.00 0.03
10 0.1448 0.00 -0.17 0.00 -0.05
11 0.2161 0.00 -0.03 0.00 -0.06
12 2.1545 0.00 -0.03 0.00 -0.07
13 2.1545 0.00 0.23 0.00 -0.14
14 2.1545 0.00 0.19 0.00 0.10
15 2.9057 0.00 0.06 0.00 0.14
16 2.9057 0.00 0.21 0.00 0.10
17 2.9058 0.00 0.09 0.00 -0.01
18 2.9059 0.00 -0.13 0.00 -0.01
19 2.9061 0.00 -0.16 0.00 -0.01
20 2.9276 0.00 -0.01 0.00 0.03
21 2.9276 0.00 -0.18 0.00 0.18
22 2.9277 0.00 0.00 0.00 -0.07
23 2.9279 0.00 -0.06 0.00 0.11
24 2.9279 0.00 -0.29 0.00 -0.02
25 3.0582 0.00 0.12 0.00 0.06
26 3.0582 0.00 0.06 0.00 -0.06
27 3.0582 0.00 0.16 0.00 -0.13
28 4.0225 0.00 -0.04 0.00 0.06
29 4.0226 0.00 -0.12 0.00 -0.04
30 4.0226 0.00 -0.13 0.00 0.04
31 4.0226 0.00 -0.01 0.00 0.11
32 4.0226 0.00 -0.08 0.00 0.01
33 4.0227 0.00 -0.01 0.00 0.10
34 4.0227 0.00 0.07 0.00 0.10
35 4.0606 0.00 0.21 0.00 -0.21
36 4.0607 0.00 0.12 0.00 0.06
37 4.0607 0.00 -0.08 0.00 0.14
38 4.0608 0.00 0.03 0.00 -0.17
39 4.0608 0.00 -0.01 0.00 0.02
40 4.0987 0.00 0.05 0.00 -0.12
41 4.1750 0.00 0.01 0.00 -0.14
42 4.1751 0.00 -0.17 0.00 -0.08
43 4.1777 0.00 0.06 0.00 0.01
44 4.1777 0.00 -0.07 0.00 0.07
45 7.0446 0.00 0.09 0.00 0.12
46 7.0447 0.00 0.05 0.00 -0.07
47 7.0448 0.00 0.05 0.00 -0.01
48 9.1471 0.00 -0.12 0.00 -0.10
49 9.1472 0.00 0.06 0.00 0.02
50 9.1473 0.00 -0.03 0.00 0.02
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.
13RR109 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 48.142 48.142 48.142 ecceobj 0.063 0.063 0.063 incobj 4.232 4.232 4.232 qmin 43.956 43.958 43.952 qmax 52.359 52.350 52.370 amean 47.973 47.973 47.973 amin 47.550 47.550 47.550 amax 48.406 48.405 48.406 emean 0.061 0.061 0.061 emin 0.039 0.039 0.039 emax 0.082 0.082 0.082 imean 5.373 5.373 5.373 imin 5.084 5.084 5.085 imax 5.681 5.681 5.681 excite_mean 0.112 0.112 0.112 fracstop 1.000 1.000 1.000 cjmean 3.136 3.136 3.136 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 180.6 180.7 180.7 kozaiamp 180.0 180.0 179.9