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: 13RQ109 # Created Fri Nov 22 02:09:30 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 44 observations of 44 # Arc: 5.21y # First observation: 2013/09/12 # Last observation: 2018/11/28 # Chi-squared of fit: 8.70 DOF: 82 RMS: 0.08 # Min/Max residuals: -0.20 0.22 # Exact a, adot, b, bdot, g, gdot: 1.849441E-05 3.868731E-02 2.406925E-06 6.343294E-03 3.276595E-02 -1.805965E-03 # Covariance matrix: 1.9156E-13 -1.5475E-13 1.6920E-14 -2.1299E-14 -7.7134E-14 -6.3090E-13 -1.5475E-13 2.6749E-13 -3.2271E-14 4.0863E-14 2.6336E-13 1.2170E-12 1.6920E-14 -3.2271E-14 1.1504E-13 -3.6033E-14 -3.0178E-14 -1.5625E-13 -2.1299E-14 4.0863E-14 -3.6033E-14 1.8761E-14 3.8524E-14 1.9760E-13 -7.7134E-14 2.6336E-13 -3.0178E-14 3.8524E-14 3.9710E-13 1.1559E-12 -6.3090E-13 1.2170E-12 -1.5625E-13 1.9760E-13 1.1559E-12 5.8783E-12 # lat0 lon0 xBary yBary zBary JD0 -11.671298 20.762151 0.523301 -0.173976 -0.842751 2456547.888018 # Heliocentric elements and errors Epoch: 2456548.5000 = 2013/09/13 Mean Anomaly: 339.58737 +/- 0.015 Argument of Peri: 336.19079 +/- 0.021 Long of Asc Node: 70.58636 +/- 0.000 Inclination: 14.52472 +/- 0.000 Eccentricity: 0.15405751 +/- 0.0001 Semi-Major Axis: 36.50500148 +/- 0.0027 Time of Perihelion: 2461116.4722 +/- 9.1 Perihelion: 30.88113199 +/- 0.0032 Aphelion: 42.12887097 +/- 0.0038 Period (y) 220.5651 +/- 0.02 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 28.93717079 +/- 0.0005 Ecliptic Y 10.41387516 +/- 0.0002 Ecliptic Z -6.17395029 +/- 0.0001 Ecliptic XDOT -0.00119003 +/- 0.0000 Ecliptic YDOT 0.00300714 +/- 0.0000 Ecliptic ZDOT 0.00054974 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 31.36763616 +/- 0.0005 Geocenter to KBO 30.51953943 +/- 0.0006 # Hcoef: 7.82
The following table shows the complete astrometric record for 13RQ109. 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 (13RQ109) followed by the observatory code and reference code for the source of the astrometry.
2013 09 12.38724 01 34 10.259 -02 43 23.56 23.1g 13RQ109 W84 C~4yQp 2013 09 12.38724 01 34 10.26 -02 43 23.6 23.3g 13RQ109 W84 C~3cl8 2013 10 03.28981 01 32 20.232 -02 56 04.52 23.1g 13RQ109 W84 C~4yQp 2013 10 03.28981 01 32 20.23 -02 56 04.5 23.1g 13RQ109 W84 C~3cl8 2014 08 18.35633 01 43 17.229 -01 19 44.60 22.5i 13RQ109 W84 C~4yQp 2014 08 18.35633 01 43 17.23 -01 19 44.6 23.0i 13RQ109 W84 C~3cl8 2014 08 18.35772 01 43 17.226 -01 19 44.50 22.3z 13RQ109 W84 C~4yQp 2014 08 18.35772 01 43 17.23 -01 19 44.5 22.3z 13RQ109 W84 C~3cl8 2014 10 01.33379 01 40 16.973 -01 44 38.38 22.8r 13RQ109 W84 C~4yQp 2014 10 01.33379 01 40 16.97 -01 44 38.4 22.7r 13RQ109 W84 C~3cl8 2014 10 02.32996 01 40 11.337 -01 45 13.28 22.4i 13RQ109 W84 C~4yQp 2014 10 02.32996 01 40 11.34 -01 45 13.3 22.4i 13RQ109 W84 C~3cl8 2014 10 03.32491 01 40 05.673 -01 45 48.13 22.7r 13RQ109 W84 C~4yQp 2014 10 03.32491 01 40 05.67 -01 45 48.1 22.9r 13RQ109 W84 C~3cl8 2014 10 21.28605 01 38 19.088 -01 55 29.58 22.6r 13RQ109 W84 C~4yQp 2014 10 21.28605 01 38 19.09 -01 55 29.6 22.7r 13RQ109 W84 C~3cl8 2014 10 29.25698 01 37 31.262 -01 59 06.53 22.3i 13RQ109 W84 C~4yQp 2014 10 29.25698 01 37 31.26 -01 59 06.5 22.3i 13RQ109 W84 C~3cl8 2014 11 28.12419 01 34 53.841 -02 06 47.74 21.1z 13RQ109 W84 C~4yQp 2015 11 06.20303 01 44 30.776 -00 51 42.55 22.8r 13RQ109 W84 C~4yQp 2015 11 06.20303 01 44 30.78 -00 51 42.5 22.8r 13RQ109 W84 C~3cl8 2016 11 03.17412 01 52 30.178 +00 19 51.75 22.6r 13RQ109 W84 C~4yQp 2016 11 03.17412 01 52 30.18 +00 19 51.7 22.7r 13RQ109 W84 C~3cl8 2016 11 03.17550 01 52 30.166 +00 19 51.90 23.3g 13RQ109 W84 C~4yQp 2016 11 03.17550 01 52 30.16 +00 19 51.9 23.6g 13RQ109 W84 C~3cl8 2016 11 10.13098 01 51 49.438 +00 17 20.89 22.3z 13RQ109 W84 C~4yQp 2016 11 10.13098 01 51 49.43 +00 17 20.9 22.3z 13RQ109 W84 C~3cl8 2016 11 28.12724 01 50 15.284 +00 13 13.32 22.8r 13RQ109 W84 C~4yQp 2016 11 28.12724 01 50 15.28 +00 13 13.3 22.9r 13RQ109 W84 C~3cl8 2016 11 30.13998 01 50 06.137 +00 13 00.03 22.7i 13RQ109 W84 C~4yQq 2016 11 30.13998 01 50 06.14 +00 13 00.0 22.7i 13RQ109 W84 C~3cl8 2016 12 07.07701 01 49 37.303 +00 12 38.06 22.9z 13RQ109 W84 C~4yQq 2017 10 30.224757 02 00 43.67 +01 32 37.1 22.7z 13RQ109 W84 C~35bX 2017 10 30.22528 02 00 43.677 +01 32 37.08 22.6z 13RQ109 W84 C~4yQq 2017 11 16.155139 01 59 03.76 +01 26 26.2 22.6r 13RQ109 W84 C~35bX 2017 11 16.15567 01 59 03.758 +01 26 26.17 22.7r 13RQ109 W84 C~4yQq 2017 11 16.156516 01 59 03.76 +01 26 26.0 23.7g 13RQ109 W84 C~35bX 2017 11 16.15705 01 59 03.756 +01 26 26.00 23.6g 13RQ109 W84 C~4yQq 2018 09 11.32738 02 12 58.717 +03 08 58.15 22.4i 13RQ109 W84 C~4yQq 2018 09 11.32877 02 12 58.705 +03 08 58.01 22.7r 13RQ109 W84 C~4yQq 2018 09 11.33014 02 12 58.703 +03 08 57.99 23.2g 13RQ109 W84 C~4yQq 2018 10 19.23562 02 09 43.336 +02 49 06.65 22.7z 13RQ109 W84 C~4yQq 2018 11 28.04184 02 05 50.145 +02 34 39.02 22.7r 13RQ109 W84 C~4yQq 2018 11 28.04321 02 05 50.140 +02 34 39.00 23.3g 13RQ109 W84 C~4yQq
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 -0.02 0.00 0.14
2 0.0000 0.00 -0.03 0.00 0.18
3 0.0572 0.00 -0.01 0.00 -0.09
4 0.0572 0.00 0.02 0.00 -0.11
5 0.9308 0.00 0.02 0.00 -0.12
6 0.9308 0.00 0.00 0.00 -0.12
7 0.9308 0.00 0.00 0.00 0.02
8 0.9308 0.00 0.06 0.00 0.02
9 1.0512 0.00 -0.01 0.00 -0.07
10 1.0512 0.00 0.04 0.00 -0.05
11 1.0539 0.00 0.03 0.00 0.01
12 1.0539 0.00 -0.02 0.00 0.03
13 1.0566 0.00 -0.06 0.00 -0.02
14 1.0566 0.00 -0.01 0.00 -0.05
15 1.1058 0.00 0.05 0.00 0.00
16 1.1058 0.00 0.08 0.00 -0.02
17 1.1276 0.00 -0.06 0.00 0.02
18 1.1276 0.00 -0.03 0.00 -0.01
19 1.2094 0.00 -0.05 0.00 0.22
20 2.1487 0.00 0.08 0.00 -0.01
21 2.1487 0.00 0.02 0.00 -0.06
22 3.1425 0.00 0.11 0.00 -0.15
23 3.1425 0.00 0.08 0.00 -0.10
24 3.1425 0.00 -0.06 0.00 0.08
25 3.1425 0.00 0.03 0.00 0.08
26 3.1615 0.00 -0.20 0.00 0.09
27 3.1615 0.00 -0.08 0.00 0.08
28 3.2108 0.00 0.03 0.00 -0.03
29 3.2108 0.00 0.09 0.00 -0.01
30 3.2163 0.00 0.13 0.00 0.00
31 3.2163 0.00 0.08 0.00 0.03
32 3.2353 0.00 -0.20 0.00 0.12
33 4.1310 0.00 -0.13 0.00 0.05
34 4.1310 0.00 0.02 0.00 0.04
35 4.1773 0.00 -0.01 0.00 0.06
36 4.1773 0.00 0.01 0.00 0.03
37 4.1773 0.00 0.11 0.00 -0.12
38 4.1773 0.00 0.09 0.00 -0.11
39 4.9964 0.00 0.08 0.00 0.09
40 4.9964 0.00 -0.02 0.00 -0.01
41 4.9964 0.00 0.03 0.00 0.01
42 5.1002 0.00 -0.07 0.00 -0.14
43 5.2092 0.00 -0.01 0.00 0.04
44 5.2092 0.00 0.02 0.00 0.03
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.
13RQ109 quality flag:3 Type: 4:3E 4:3E 4:3E axisobj 36.685 36.684 36.685 ecceobj 0.157 0.157 0.157 incobj 14.529 14.529 14.529 qmin 30.380 30.379 30.380 qmax 42.859 42.856 42.860 amean 36.477 36.477 36.477 amin 36.144 36.145 36.144 amax 36.838 36.840 36.836 emean 0.139 0.139 0.139 emin 0.103 0.103 0.103 emax 0.165 0.165 0.164 imean 12.724 12.724 12.724 imin 11.499 11.498 11.500 imax 14.144 14.143 14.144 excite_mean 0.261 0.261 0.261 fracstop 1.000 1.000 1.000 cjmean 2.952 2.952 2.952 libcent 0 178.9 178.7 178.9 libamp 0 56.1 56.0 56.2 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 183.5 183.5 183.6 kozaiamp 180.0 180.0 180.0