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: 13RB109 # Created Sat Apr 20 01:14:46 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 46 observations of 46 # Arc: 5.23y # First observation: 2013/09/02 # Last observation: 2018/11/27 # Chi-squared of fit: 17.63 DOF: 86 RMS: 0.11 # Min/Max residuals: -0.57 0.41 # Exact a, adot, b, bdot, g, gdot: 1.571773E-05 2.794498E-02 -6.481828E-06 -1.186079E-02 2.802856E-02 -1.542975E-03 # Covariance matrix: 1.8064E-13 -4.0497E-14 -4.4368E-15 7.9053E-15 1.2100E-13 -1.4485E-13 -4.0497E-14 7.0742E-14 1.4216E-14 -3.0392E-14 1.9852E-14 5.4910E-13 -4.4368E-15 1.4216E-14 8.4807E-14 -2.9526E-14 4.4146E-15 1.2894E-13 7.9053E-15 -3.0392E-14 -2.9526E-14 2.5497E-14 -1.1577E-14 -2.7598E-13 1.2100E-13 1.9852E-14 4.4146E-15 -1.1577E-14 1.7838E-13 2.0643E-13 -1.4485E-13 5.4910E-13 1.2894E-13 -2.7598E-13 2.0643E-13 4.9858E-12 # lat0 lon0 xBary yBary zBary JD0 -2.462718 2.085370 0.385586 -0.040031 -0.932731 2456537.772218 # Heliocentric elements and errors Epoch: 2456538.5000 = 2013/09/03 Mean Anomaly: 328.90371 +/- 0.030 Argument of Peri: 224.56928 +/- 0.039 Long of Asc Node: 175.86311 +/- 0.000 Inclination: 23.16040 +/- 0.000 Eccentricity: 0.11005378 +/- 0.0001 Semi-Major Axis: 40.25533479 +/- 0.0027 Time of Perihelion: 2464596.7295 +/- 11.6 Perihelion: 35.82508287 +/- 0.0034 Aphelion: 44.68558671 +/- 0.0038 Period (y) 255.4132 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 36.56805948 +/- 0.0005 Ecliptic Y 0.94874835 +/- 0.0000 Ecliptic Z -1.53329424 +/- 0.0000 Ecliptic XDOT -0.00030575 +/- 0.0000 Ecliptic YDOT 0.00271949 +/- 0.0000 Ecliptic ZDOT -0.00115089 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 36.61252375 +/- 0.0005 Geocenter to KBO 35.67795537 +/- 0.0005 # Hcoef: 7.51
The following table shows the complete astrometric record for 13RB109. 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 (13RB109) followed by the observatory code and reference code for the source of the astrometry.
2013 09 02.27144 00 11 34.212 -01 25 49.39 23.5g 13RB109 W84 C~4yQo 2013 09 02.27144 00 11 34.21 -01 25 49.4 23.9g 13RB109 W84 C~3cl7 2013 09 11.310995 00 10 52.60 -01 31 37.8 23.7g 13RB109 W84 C~35bW 2013 09 11.31152 00 10 52.630 -01 31 37.75 23.6g 13RB109 W84 C~4yQo 2013 09 28.08647 00 09 30.833 -01 42 37.92 23.8g 13RB109 W84 C~4yQo 2013 10 13.13017 00 08 18.193 -01 52 05.38 22.9i 13RB109 W84 C~4yQo 2013 10 13.13017 00 08 18.19 -01 52 05.4 23.0i 13RB109 W84 C~3cl7 2013 10 13.13157 00 08 18.182 -01 52 05.50 22.4z 13RB109 W84 C~4yQo 2013 10 13.13157 00 08 18.18 -01 52 05.5 22.8z 13RB109 W84 C~3cl7 2013 11 08.15958 00 06 33.564 -02 05 28.03 23.3r 13RB109 W84 C~4yQo 2013 11 08.15958 00 06 33.56 -02 05 28.0 23.3r 13RB109 W84 C~3cl7 2013 11 22.11198 00 05 56.802 -02 10 14.25 22.9r 13RB109 W84 C~4yQo 2013 11 22.11198 00 05 56.80 -02 10 14.3 22.9r 13RB109 W84 C~3cl7 2013 11 22.112824 00 05 56.79 -02 10 14.0 22.8i 13RB109 W84 C~35bW 2013 11 22.11335 00 05 56.797 -02 10 14.14 23.1i 13RB109 W84 C~4yQo 2013 11 23.09986 00 05 54.844 -02 10 29.94 23.4i 13RB109 W84 C~4yQo 2013 11 23.09986 00 05 54.84 -02 10 29.9 23.4i 13RB109 W84 C~3cl7 2014 10 28.20119 00 14 10.481 -01 59 39.71 23.4r 13RB109 W84 C~4yQo 2014 10 28.20119 00 14 10.48 -01 59 39.7 23.5r 13RB109 W84 C~3cl7 2014 10 29.135486 00 14 06.69 -02 00 08.0 22.5z 13RB109 W84 C~35bW 2014 10 29.13601 00 14 06.696 -02 00 08.08 22.5z 13RB109 W84 C~4yQo 2016 09 09.172326 00 32 00.00 -01 27 52.2 23.0z 13RB109 W84 C~39od 2016 09 09.173727 00 31 59.99 -01 27 52.1 23.0i 13RB109 W84 C~39od 2016 09 09.34121 00 31 59.227 -01 27 58.83 23.0r 13RB109 W84 C~4yQo 2016 09 09.34121 00 31 59.23 -01 27 58.8 23.1r 13RB109 W84 C~3cl7 2016 09 09.342049 00 31 59.22 -01 27 58.8 23.5g 13RB109 W84 C~39od 2016 09 09.34258 00 31 59.223 -01 27 58.78 23.3g 13RB109 W84 C~4yQo 2016 10 01.19983 00 30 13.710 -01 42 25.54 23.0r 13RB109 W84 C~4yQo 2016 10 01.19983 00 30 13.71 -01 42 25.5 23.0r 13RB109 W84 C~3cl7 2016 10 01.20122 00 30 13.707 -01 42 25.37 23.0i 13RB109 W84 C~4yQo 2016 10 01.20122 00 30 13.71 -01 42 25.3 23.1i 13RB109 W84 C~3cl7 2016 10 01.20259 00 30 13.699 -01 42 25.47 23.7g 13RB109 W84 C~4yQo 2016 10 01.20259 00 30 13.70 -01 42 25.4 23.8g 13RB109 W84 C~3cl7 2016 11 08.17913 00 27 22.143 -02 03 28.50 22.9i 13RB109 W84 C~4yQo 2016 11 08.17913 00 27 22.14 -02 03 28.5 23.0i 13RB109 W84 C~3cl7 2016 11 18.07031 00 26 49.985 -02 07 05.91 22.9r 13RB109 W84 C~4yQo 2016 11 18.07031 00 26 49.98 -02 07 05.9 23.0r 13RB109 W84 C~3cl7 2016 11 18.07169 00 26 49.982 -02 07 05.86 23.9g 13RB109 W84 C~4yQo 2016 11 18.07169 00 26 49.98 -02 07 05.8 24.3g 13RB109 W84 C~3cl7 2017 10 22.19258 00 35 34.754 -01 54 08.59 21.5z 13RB109 W84 C~4yQo 2018 09 09.34244 00 46 06.326 -01 25 31.43 22.9r 13RB109 W84 C~4yQo 2018 09 09.34385 00 46 06.331 -01 25 31.50 23.0g 13RB109 W84 C~4yQo 2018 10 19.14790 00 42 53.539 -01 51 13.55 22.6z 13RB109 W84 C~4yQo 2018 11 08.17671 00 41 24.831 -02 01 23.06 22.9r 13RB109 W84 C~4yQo 2018 11 08.17810 00 41 24.826 -02 01 23.08 22.7i 13RB109 W84 C~4yQo 2018 11 27.08173 00 40 23.693 -02 07 35.17 23.7g 13RB109 W84 C~4yQo
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 -0.04
2 0.0000 0.00 0.06 0.00 -0.03
3 0.0247 0.00 -0.57 0.00 -0.05
4 0.0248 0.00 -0.08 0.00 0.02
5 0.0707 0.00 0.41 0.00 0.17
6 0.1119 0.00 0.07 0.00 -0.02
7 0.1119 0.00 0.12 0.00 0.00
8 0.1119 0.00 0.02 0.00 -0.07
9 0.1119 0.00 0.05 0.00 -0.07
10 0.1831 0.00 0.06 0.00 0.07
11 0.1831 0.00 0.12 0.00 0.04
12 0.2213 0.00 -0.04 0.00 -0.08
13 0.2213 0.00 -0.01 0.00 -0.03
14 0.2213 0.00 -0.17 0.00 0.24
15 0.2213 0.00 -0.04 0.00 0.11
16 0.2240 0.00 -0.04 0.00 0.03
17 0.2240 0.00 0.02 0.00 -0.01
18 1.1524 0.00 0.03 0.00 -0.13
19 1.1524 0.00 0.04 0.00 -0.14
20 1.1550 0.00 -0.09 0.00 -0.16
21 1.1550 0.00 0.03 0.00 -0.23
22 3.0196 0.00 -0.05 0.00 -0.05
23 3.0196 0.00 -0.11 0.00 0.11
24 3.0200 0.00 0.08 0.00 -0.02
25 3.0200 0.00 0.04 0.00 -0.05
26 3.0200 0.00 -0.01 0.00 0.02
27 3.0200 0.00 0.07 0.00 0.06
28 3.0799 0.00 -0.01 0.00 -0.10
29 3.0799 0.00 -0.01 0.00 -0.14
30 3.0799 0.00 0.10 0.00 0.16
31 3.0799 0.00 0.05 0.00 0.09
32 3.0799 0.00 0.05 0.00 0.11
33 3.0799 0.00 0.04 0.00 0.04
34 3.1839 0.00 0.01 0.00 0.12
35 3.1839 0.00 0.06 0.00 0.12
36 3.2109 0.00 -0.08 0.00 -0.00
37 3.2109 0.00 -0.01 0.00 -0.01
38 3.2110 0.00 -0.02 0.00 0.12
39 3.2110 0.00 0.01 0.00 0.06
40 4.1367 0.00 -0.01 0.00 0.14
41 5.0187 0.00 -0.04 0.00 -0.06
42 5.0187 0.00 0.13 0.00 -0.07
43 5.1277 0.00 -0.09 0.00 -0.01
44 5.1825 0.00 0.00 0.00 -0.05
45 5.1825 0.00 0.01 0.00 -0.03
46 5.2343 0.00 -0.03 0.00 -0.10
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.
13RB109 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 40.447 40.447 40.447 ecceobj 0.113 0.113 0.113 incobj 23.096 23.096 23.096 qmin 34.930 34.941 34.932 qmax 45.936 45.914 45.903 amean 40.255 40.276 40.283 amin 39.911 39.886 39.960 amax 40.623 40.642 40.626 emean 0.111 0.112 0.112 emin 0.095 0.096 0.097 emax 0.131 0.131 0.130 imean 22.981 22.985 22.973 imin 22.362 22.362 22.362 imax 23.690 23.666 23.686 excite_mean 0.406 0.406 0.406 fracstop 1.000 1.000 1.000 cjmean 2.865 2.865 2.865 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 179.3 180.4 180.0 kozaiamp 180.0 179.9 180.0