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: 13PX74 # Created Fri Nov 22 02:09:28 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 67 observations of 67 # Arc: 9.98y # First observation: 2011/08/24 # Last observation: 2021/08/16 # Chi-squared of fit: 28.36 DOF: 128 RMS: 0.12 # Min/Max residuals: -0.38 0.35 # Exact a, adot, b, bdot, g, gdot: 1.389465E-05 1.925063E-02 3.945529E-07 1.211311E-03 2.245979E-02 6.724460E-04 # Covariance matrix: 1.6803E-13 -6.5095E-14 5.8067E-15 -3.3680E-15 -3.1164E-14 -2.7987E-13 -6.5095E-14 3.4594E-14 -3.5838E-15 2.0617E-15 2.1157E-14 1.7163E-13 5.8067E-15 -3.5838E-15 8.4969E-14 -1.4078E-14 -2.9129E-15 -1.9397E-14 -3.3680E-15 2.0617E-15 -1.4078E-14 3.2156E-15 1.0176E-15 1.1315E-14 -3.1164E-14 2.1157E-14 -2.9129E-15 1.0176E-15 9.1870E-14 9.6795E-14 -2.7987E-13 1.7163E-13 -1.9397E-14 1.1315E-14 9.6795E-14 9.3908E-13 # lat0 lon0 xBary yBary zBary JD0 -7.132370 -19.478950 0.173181 -0.123365 -0.985556 2455797.936856 # Heliocentric elements and errors Epoch: 2455798.5000 = 2011/08/25 Mean Anomaly: 167.13519 +/- 0.019 Argument of Peri: 126.49682 +/- 0.017 Long of Asc Node: 43.25097 +/- 0.001 Inclination: 7.82360 +/- 0.000 Eccentricity: 0.14865659 +/- 0.0000 Semi-Major Axis: 39.72117960 +/- 0.0016 Time of Perihelion: 2413346.6091 +/- 5.5 Perihelion: 33.81636451 +/- 0.0018 Aphelion: 45.62599469 +/- 0.0022 Period (y) 250.3464 +/- 0.02 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 42.53340852 +/- 0.0006 Ecliptic Y -15.22533495 +/- 0.0002 Ecliptic Z -5.52814445 +/- 0.0001 Ecliptic XDOT 0.00087338 +/- 0.0000 Ecliptic YDOT 0.00218454 +/- 0.0000 Ecliptic ZDOT 0.00013640 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 45.51329959 +/- 0.0005 Geocenter to KBO 44.52402840 +/- 0.0006 # Hcoef: 5.77
The following table shows the complete astrometric record for 13PX74. 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 (13PX74) followed by the observatory code and reference code for the source of the astrometry.
2011 08 24.43609 22 59 11.637 -14 12 48.02 22.5w 13PX74 F51 C~1w3u 2011 08 24.45009 22 59 11.578 -14 12 48.60 23.0w 13PX74 F51 C~1w3u 2011 08 24.46405 22 59 11.520 -14 12 48.79 22.7w 13PX74 F51 C~1w3u 2011 08 24.47804 22 59 11.471 -14 12 49.12 22.9w 13PX74 F51 C~1w3u 2012 08 14.48416 23 03 53.936 -13 39 06.34 22.1w 13PX74 F51 C~1w3u 2012 08 14.49920 23 03 53.862 -13 39 06.62 22.1w 13PX74 F51 C~1w3u 2012 08 14.51426 23 03 53.810 -13 39 07.37 22.4w 13PX74 F51 C~1w3u 2012 08 14.52929 23 03 53.760 -13 39 07.54 22.2w 13PX74 F51 C~1w3u 2012 11 01.35219 22 58 57.436 -14 04 01.08 22.5G 13PX74 F51 C~2r7Q 2013 08 09.44903 23 08 16.731 -13 07 00.15 22.2w 13PX74 F51 C~1w3u 2013 08 09.46327 23 08 16.683 -13 07 00.62 22.5w 13PX74 F51 C~1w3u 2013 08 09.47752 23 08 16.619 -13 07 01.00 22.2w 13PX74 F51 C~1w3u 2013 08 09.49176 23 08 16.566 -13 07 01.32 22.3w 13PX74 F51 C~1w3u 2013 08 26.47023 23 07 09.029 -13 14 37.82 21.9r 13PX74 F51 C~1w3u 2013 08 26.50878 23 07 08.854 -13 14 38.80 21.7i 13PX74 F51 C~1w3u 2013 09 01.42444 23 06 43.693 -13 17 16.41 22.6w 13PX74 F51 C~1w3u 2013 09 01.43865 23 06 43.638 -13 17 16.75 22.2w 13PX74 F51 C~1w3u 2013 09 01.45211 23 06 43.567 -13 17 16.89 22.4w 13PX74 F51 C~1w3u 2013 09 01.46556 23 06 43.516 -13 17 17.31 22.4w 13PX74 F51 C~1w3u 2013 09 22.41050 23 05 13.674 -13 25 46.43 21.6i 13PX74 F51 C~1w3u 2014 09 12.42826 23 09 59.163 -12 51 59.08 22.1G 13PX74 F51 C~2r7Q 2014 09 17.44081 23 09 37.678 -12 54 00.63 22.3G 13PX74 F51 C~2r7Q 2014 09 23.37095 23 09 12.597 -12 56 15.51 22.1G 13PX74 F51 C~2r7Q 2014 11 12.21659 23 06 39.624 -13 05 47.29 22.5G 13PX74 F51 C~2r7Q 2014 11 22.23610 23 06 28.824 -13 05 08.82 22.1G 13PX74 F51 C~2r7Q 2014 11 24.21454 23 06 27.702 -13 04 54.56 22.5G 13PX74 F51 C~2r7Q 2015 07 24.54200 23 17 08.841 -12 00 13.19 22.7G 13PX74 F51 C~2r7Q 2015 07 24.55447 23 17 08.819 -12 00 13.68 22.4G 13PX74 F51 C~2r7Q 2015 07 24.56690 23 17 08.779 -12 00 13.73 22.5G 13PX74 F51 C~2r7Q 2015 08 13.59972 23 16 03.858 -12 08 37.01 22.5G 13PX74 F51 C~2r7Q 2015 08 14.51705 23 16 00.429 -12 09 01.20 22.0G 13PX74 F51 C~2r7Q 2015 08 21.45885 23 15 33.438 -12 12 08.51 22.2G 13PX74 F51 C~2r7Q 2016 07 11.56169 23 21 33.091 -11 25 47.32 22.2G 13PX74 F51 C~2r7Q 2016 07 11.57419 23 21 33.069 -11 25 47.56 22.5G 13PX74 F51 C~2r7Q 2016 07 11.58668 23 21 33.051 -11 25 47.84 22.5G 13PX74 F51 C~2r7Q 2016 07 11.59917 23 21 33.029 -11 25 48.05 22.7G 13PX74 F51 C~2r7Q 2016 08 02.51700 23 20 37.937 -11 33 52.77 22.1G 13PX74 F51 C~2r7Q 2016 08 02.52806 23 20 37.907 -11 33 52.93 22.2G 13PX74 F51 C~2r7Q 2016 08 02.53912 23 20 37.865 -11 33 53.28 22.5G 13PX74 F51 C~2r7Q 2016 08 02.55017 23 20 37.826 -11 33 53.60 22.4G 13PX74 F51 C~2r7Q 2017 07 25.56326 23 24 58.520 -11 00 11.44 22.5G 13PX74 F51 C~2r7Q 2017 07 25.57444 23 24 58.493 -11 00 11.57 22.4G 13PX74 F51 C~2r7Q 2017 07 25.58558 23 24 58.458 -11 00 11.94 22.2G 13PX74 F51 C~2r7Q 2017 07 25.59675 23 24 58.424 -11 00 12.17 22.8G 13PX74 F51 C~2r7Q 2017 09 15.40463 23 21 44.104 -11 22 37.69 22.8G 13PX74 F51 C~2r7Q 2017 09 15.41574 23 21 44.062 -11 22 37.83 22.1G 13PX74 F51 C~2r7Q 2017 09 15.42693 23 21 44.013 -11 22 38.18 22.3G 13PX74 F51 C~2r7Q 2017 09 15.43803 23 21 43.965 -11 22 38.37 22.4G 13PX74 F51 C~2r7Q 2017 09 23.39346 23 21 10.148 -11 25 50.26 22.3G 13PX74 F51 C~2r7Q 2017 09 23.40463 23 21 10.110 -11 25 50.69 22.1G 13PX74 F51 C~2r7Q 2017 09 23.41576 23 21 10.052 -11 25 50.90 22.1G 13PX74 F51 C~2r7Q 2017 09 23.42688 23 21 10.012 -11 25 51.17 22.2G 13PX74 F51 C~2r7Q 2017 10 11.37191 23 19 58.794 -11 31 52.66 22.4G 13PX74 F51 C~2r7Q 2017 11 07.30329 23 18 39.818 -11 36 35.51 22.3G 13PX74 F51 C~2r7Q 2017 11 07.31449 23 18 39.784 -11 36 35.48 22.5G 13PX74 F51 C~2r7Q 2017 11 07.32567 23 18 39.754 -11 36 35.44 22.8G 13PX74 F51 C~2r7Q 2017 12 05.25412 23 18 12.810 -11 34 40.04 21.0G 13PX74 F51 C~2r7Q 2020 08 19.52133 23 35 25.173 -09 38 07.72 22.3w 13PX74 F51 C~441M 2020 08 19.53381 23 35 25.135 -09 38 08.03 22.1w 13PX74 F51 C~441M 2020 08 19.54632 23 35 25.100 -09 38 08.27 22.3w 13PX74 F51 C~441M 2020 10 20.28254 23 31 17.230 -10 02 20.19 22.2w 13PX74 F51 C~49vQ 2020 10 20.29378 23 31 17.178 -10 02 20.30 22.4w 13PX74 F51 C~49vQ 2020 10 20.30506 23 31 17.150 -10 02 20.46 22.2w 13PX74 F51 C~49vQ 2020 10 20.31630 23 31 17.114 -10 02 20.95 22.4w 13PX74 F51 C~49vQ 2021 08 16.507616 23 39 32.787 -09 05 24.43 21.9w 13PX74 F51 C~4yQY 2021 08 16.530047 23 39 32.712 -09 05 24.85 22.2w 13PX74 F51 C~4yQY 2021 08 16.541308 23 39 32.655 -09 05 24.87 22.2w 13PX74 F51 C~4yQY
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 -0.10 0.00 0.06
2 0.0000 0.00 -0.09 0.00 -0.15
3 0.0001 0.00 -0.06 0.00 0.04
4 0.0001 0.00 0.11 0.00 0.08
5 0.9748 0.00 -0.00 0.00 -0.01
6 0.9748 0.00 -0.21 0.00 0.12
7 0.9749 0.00 -0.08 0.00 -0.23
8 0.9749 0.00 0.08 0.00 0.01
9 1.1907 0.00 0.18 0.00 0.04
10 1.9603 0.00 0.10 0.00 0.14
11 1.9604 0.00 0.18 0.00 0.05
12 1.9604 0.00 0.03 0.00 0.04
13 1.9605 0.00 0.03 0.00 0.10
14 2.0069 0.00 0.06 0.00 0.09
15 2.0070 0.00 -0.09 0.00 0.15
16 2.0232 0.00 0.04 0.00 -0.22
17 2.0233 0.00 0.15 0.00 -0.19
18 2.0233 0.00 -0.03 0.00 0.03
19 2.0234 0.00 0.09 0.00 -0.04
20 2.0807 0.00 -0.01 0.00 0.06
21 3.0527 0.00 -0.38 0.00 0.15
22 3.0664 0.00 0.17 0.00 -0.08
23 3.0826 0.00 -0.23 0.00 0.24
24 3.2191 0.00 0.12 0.00 0.01
25 3.2465 0.00 -0.23 0.00 -0.02
26 3.2520 0.00 -0.01 0.00 0.04
27 3.9154 0.00 -0.17 0.00 -0.10
28 3.9155 0.00 0.02 0.00 -0.30
29 3.9155 0.00 -0.06 0.00 -0.07
30 3.9703 0.00 0.11 0.00 -0.15
31 3.9728 0.00 0.10 0.00 0.17
32 3.9918 0.00 -0.03 0.00 0.08
33 4.8819 0.00 0.01 0.00 0.07
34 4.8820 0.00 0.03 0.00 0.06
35 4.8820 0.00 0.11 0.00 0.02
36 4.8820 0.00 0.13 0.00 0.04
37 4.9420 0.00 0.04 0.00 -0.08
38 4.9421 0.00 0.13 0.00 0.04
39 4.9421 0.00 0.04 0.00 -0.03
40 4.9421 0.00 -0.01 0.00 -0.08
41 5.9196 0.00 -0.02 0.00 -0.09
42 5.9196 0.00 0.03 0.00 0.04
43 5.9196 0.00 -0.05 0.00 -0.08
44 5.9197 0.00 -0.10 0.00 -0.06
45 6.0615 0.00 -0.05 0.00 -0.03
46 6.0615 0.00 0.05 0.00 0.11
47 6.0616 0.00 0.04 0.00 0.04
48 6.0616 0.00 0.05 0.00 0.13
49 6.0834 0.00 0.00 0.00 0.04
50 6.0834 0.00 0.15 0.00 -0.14
51 6.0834 0.00 -0.01 0.00 -0.09
52 6.0835 0.00 0.11 0.00 -0.10
53 6.1326 0.00 -0.24 0.00 0.08
54 6.2063 0.00 0.15 0.00 -0.11
55 6.2064 0.00 -0.00 0.00 -0.04
56 6.2064 0.00 -0.09 0.00 0.04
57 6.2829 0.00 -0.02 0.00 0.03
58 8.9886 0.00 -0.16 0.00 -0.07
59 8.9886 0.00 -0.02 0.00 -0.04
60 8.9887 0.00 0.17 0.00 0.05
61 9.1577 0.00 0.10 0.00 -0.00
62 9.1577 0.00 -0.10 0.00 0.05
63 9.1578 0.00 0.06 0.00 0.06
64 9.1578 0.00 0.10 0.00 -0.27
65 9.9797 0.00 -0.07 0.00 -0.09
66 9.9797 0.00 0.02 0.00 0.08
67 9.9798 0.00 -0.22 0.00 0.35
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.
13PX74 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.699 39.699 39.699 ecceobj 0.149 0.149 0.149 incobj 7.825 7.825 7.825 qmin 32.853 32.853 32.853 qmax 46.608 46.577 46.606 amean 39.458 39.458 39.458 amin 38.991 38.994 38.985 amax 39.972 39.969 39.964 emean 0.149 0.149 0.149 emin 0.132 0.132 0.132 emax 0.167 0.166 0.167 imean 6.775 6.774 6.775 imin 6.094 6.092 6.097 imax 7.484 7.484 7.486 excite_mean 0.190 0.190 0.190 fracstop 1.000 1.000 1.000 cjmean 3.011 3.011 3.011 libcent 0 180.8 181.0 180.6 libamp 0 102.4 102.3 102.2 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 178.1 178.2 178.0 kozaiamp 180.0 180.0 179.9