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: 13RD109 # Created Sun Dec 22 02:09:31 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 38 observations of 38 # Arc: 10.09y # First observation: 2013/09/02 # Last observation: 2023/10/04 # Chi-squared of fit: 11.88 DOF: 70 RMS: 0.10 # Min/Max residuals: -0.32 0.31 # Exact a, adot, b, bdot, g, gdot: 1.678996E-05 4.064790E-02 3.285241E-06 7.782678E-03 3.461373E-02 1.263830E-03 # Covariance matrix: 2.2108E-13 -5.2182E-14 6.2945E-15 -5.6392E-15 1.1398E-13 -8.2626E-14 -5.2182E-14 3.0464E-14 -5.8638E-15 4.7735E-15 -2.5103E-15 6.8975E-14 6.2945E-15 -5.8638E-15 9.2286E-14 -1.9570E-14 -2.0071E-15 -1.7190E-14 -5.6392E-15 4.7735E-15 -1.9570E-14 7.4187E-15 9.4584E-16 1.3903E-14 1.1398E-13 -2.5103E-15 -2.0071E-15 9.4584E-16 1.4780E-13 1.2141E-14 -8.2626E-14 6.8975E-14 -1.7190E-14 1.3903E-14 1.2141E-14 2.0070E-13 # lat0 lon0 xBary yBary zBary JD0 -2.764049 3.714434 0.411957 -0.044389 -0.921187 2456537.773070 # Heliocentric elements and errors Epoch: 2456538.5000 = 2013/09/03 Mean Anomaly: 9.99548 +/- 0.007 Argument of Peri: 334.18554 +/- 0.009 Long of Asc Node: 16.69592 +/- 0.000 Inclination: 11.11941 +/- 0.000 Eccentricity: 0.08156258 +/- 0.0000 Semi-Major Axis: 32.41021528 +/- 0.0017 Time of Perihelion: 2454667.2898 +/- 1.4 Perihelion: 29.76675461 +/- 0.0019 Aphelion: 35.05367596 +/- 0.0021 Period (y) 184.5147 +/- 0.01 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 29.74277897 +/- 0.0003 Ecliptic Y 1.52106059 +/- 0.0000 Ecliptic Z -1.39309129 +/- 0.0000 Ecliptic XDOT -0.00008521 +/- 0.0000 Ecliptic YDOT 0.00321568 +/- 0.0000 Ecliptic ZDOT 0.00061019 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 29.81420348 +/- 0.0003 Geocenter to KBO 28.89028854 +/- 0.0003 # Hcoef: 8.14
The following table shows the complete astrometric record for 13RD109. 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 (13RD109) followed by the observatory code and reference code for the source of the astrometry.
2013 09 02.272292 00 18 01.45 -01 03 37.0 23.2g 13RD109 W84 C~35bW 2013 09 11.29992 00 17 09.688 -01 08 48.00 23.4g 13RD109 W84 C~4yQo 2013 09 28.09274 00 15 26.775 -01 18 45.97 23.7g 13RD109 W84 C~4yQo 2013 10 13.099792 00 13 54.88 -01 27 13.7 22.3z 13RD109 W84 C~35bW 2013 10 13.10032 00 13 54.884 -01 27 13.74 22.2z 13RD109 W84 C~4yQo 2013 10 13.13297 00 13 54.688 -01 27 14.82 22.7i 13RD109 W84 C~4yQo 2013 11 22.08973 00 10 51.020 -01 41 27.37 23.5g 13RD109 W84 C~4yQo 2013 11 22.09111 00 10 51.009 -01 41 27.31 23.4r 13RD109 W84 C~4yQo 2013 11 22.09392 00 10 50.999 -01 41 27.53 23.1i 13RD109 W84 C~4yQo 2013 11 23.08715 00 10 48.308 -01 41 35.06 22.8r 13RD109 W84 C~4yQo 2013 11 23.10126 00 10 48.270 -01 41 35.29 22.6i 13RD109 W84 C~4yQo 2014 08 18.30649 00 27 04.839 +00 23 45.05 21.8z 13RD109 W84 C~4yQo 2014 10 28.18544 00 20 21.272 -00 14 35.33 22.6i 13RD109 W84 C~4yQo 2014 11 13.100521 00 19 07.29 -00 20 27.3 22.6z 13RD109 W84 C~35bW 2016 11 08.14374 00 34 57.720 +02 19 25.48 22.3i 13RD109 W84 C~4yQo 2016 11 08.144583 00 34 57.71 +02 19 25.7 22.3z 13RD109 W84 C~35bW 2016 11 08.14512 00 34 57.722 +02 19 25.47 22.2z 13RD109 W84 C~4yQo 2016 11 18.08134 00 34 14.967 +02 15 59.72 23.0r 13RD109 W84 C~4yQo 2016 11 18.08271 00 34 14.966 +02 15 59.71 23.8g 13RD109 W84 C~4yQo 2016 11 28.10122 00 33 41.647 +02 13 38.21 22.7r 13RD109 W84 C~4yQo 2016 11 30.088137 00 33 36.33 +02 13 19.0 22.9i 13RD109 W84 C~35bW 2016 11 30.08866 00 33 36.357 +02 13 18.92 23.0i 13RD109 W84 C~4yQo 2016 11 30.09967 00 33 36.317 +02 13 18.72 23.7g 13RD109 W84 C~4yQo 2016 12 05.09307 00 33 25.042 +02 12 43.18 22.7z 13RD109 W84 C~4yQo 2017 08 28.276620 00 49 38.17 +04 16 19.7 23.5i 13RD109 W84 C~35bW 2017 08 28.27714 00 49 38.174 +04 16 19.73 23.5i 13RD109 W84 C~4yQo 2017 08 28.277998 00 49 38.16 +04 16 19.7 23.1r 13RD109 W84 C~35bW 2017 08 28.27853 00 49 38.163 +04 16 19.70 23.1r 13RD109 W84 C~4yQo 2017 08 28.279375 00 49 38.15 +04 16 19.7 23.8g 13RD109 W84 C~35bW 2017 08 28.27990 00 49 38.160 +04 16 19.66 23.7g 13RD109 W84 C~4yQo 2017 09 27.261852 00 46 51.99 +04 00 50.5 22.2i 13RD109 W84 C~35bW 2017 09 27.26238 00 46 51.995 +04 00 50.44 22.3i 13RD109 W84 C~4yQo 2017 09 27.263229 00 46 51.99 +04 00 50.5 22.4r 13RD109 W84 C~35bW 2017 09 27.26376 00 46 51.988 +04 00 50.48 22.6r 13RD109 W84 C~4yQo 2017 09 27.264595 00 46 51.98 +04 00 50.4 22.8g 13RD109 W84 C~35bW 2017 09 27.26512 00 46 51.981 +04 00 50.31 22.9g 13RD109 W84 C~4yQo 2023 10 03.990037 01 33 37.359 +11 40 12.44 22.9G 13RD109 Z84 C~7Ax2 2023 10 04.069638 01 33 36.858 +11 40 09.91 22.6G 13RD109 Z84 C~7Ax2
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 0.31 0.00 0.20
2 0.0247 0.00 -0.03 0.00 -0.03
3 0.0707 0.00 -0.04 0.00 0.15
4 0.1118 0.00 -0.12 0.00 -0.01
5 0.1118 0.00 -0.01 0.00 -0.03
6 0.1119 0.00 0.00 0.00 -0.07
7 0.2213 0.00 0.05 0.00 0.01
8 0.2213 0.00 -0.05 0.00 0.08
9 0.2213 0.00 -0.08 0.00 -0.11
10 0.2240 0.00 -0.01 0.00 0.01
11 0.2240 0.00 0.00 0.00 -0.12
12 0.9583 0.00 -0.01 0.00 -0.09
13 1.1524 0.00 -0.01 0.00 0.04
14 1.1960 0.00 0.08 0.00 -0.22
15 3.1838 0.00 0.08 0.00 0.03
16 3.1838 0.00 -0.01 0.00 0.27
17 3.1838 0.00 0.21 0.00 0.06
18 3.2110 0.00 0.02 0.00 -0.08
19 3.2110 0.00 0.09 0.00 -0.06
20 3.2384 0.00 -0.08 0.00 -0.05
21 3.2438 0.00 -0.32 0.00 0.18
22 3.2439 0.00 0.11 0.00 0.10
23 3.2439 0.00 -0.05 0.00 0.00
24 3.2576 0.00 0.15 0.00 -0.05
25 3.9863 0.00 -0.06 0.00 -0.05
26 3.9863 0.00 0.04 0.00 -0.01
27 3.9863 0.00 -0.11 0.00 -0.02
28 3.9863 0.00 -0.03 0.00 -0.00
29 3.9863 0.00 -0.16 0.00 0.02
30 3.9863 0.00 0.03 0.00 -0.01
31 4.0684 0.00 -0.09 0.00 -0.00
32 4.0684 0.00 0.04 0.00 -0.04
33 4.0684 0.00 0.04 0.00 0.05
34 4.0684 0.00 0.06 0.00 0.05
35 4.0684 0.00 0.02 0.00 -0.01
36 4.0684 0.00 0.09 0.00 -0.08
37 10.0855 0.00 0.04 0.00 0.06
38 10.0857 0.00 -0.02 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.
13RD109 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 32.544 32.544 32.544 ecceobj 0.086 0.086 0.086 incobj 11.098 11.098 11.098 qmin 29.518 29.157 29.517 qmax 39.341 38.053 39.227 amean 33.345 32.873 33.235 amin 32.211 30.922 32.211 amax 34.656 33.904 34.554 emean 0.106 0.095 0.103 emin 0.080 0.050 0.080 emax 0.138 0.122 0.135 imean 11.021 11.108 11.049 imin 10.702 10.832 10.762 imax 11.269 11.443 11.269 excite_mean 0.219 0.216 0.218 fracstop 0.003 0.004 0.003 cjmean 2.952 2.952 2.952 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 338.0 334.8 337.2 kozaiamp 10.3 21.0 7.6