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: 13FA28 # Created Sat Apr 20 01:14:19 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 80 observations of 80 # Arc: 22.15y # First observation: 2000/03/03 # Last observation: 2022/04/26 # Chi-squared of fit: 117.45 DOF: 154 RMS: 0.21 # Min/Max residuals: -0.61 1.01 # Exact a, adot, b, bdot, g, gdot: 1.436163E-05 2.059651E-02 1.835468E-06 -2.363138E-04 2.243599E-02 -4.346804E-04 # Covariance matrix: 3.7480E-13 -5.0247E-14 -2.2312E-15 4.4074E-16 -1.5720E-14 -7.5047E-14 -5.0247E-14 8.6640E-15 4.3738E-16 -8.9256E-17 6.7002E-15 1.5274E-14 -2.2312E-15 4.3738E-16 1.8829E-13 -1.2756E-14 -3.7142E-17 8.8572E-16 4.4074E-16 -8.9256E-17 -1.2756E-14 9.5240E-16 -5.0438E-17 -1.7803E-16 -1.5720E-14 6.7002E-15 -3.7142E-17 -5.0438E-17 7.2888E-14 1.0124E-14 -7.5047E-14 1.5274E-14 8.8572E-16 -1.7803E-16 1.0124E-14 3.0395E-14 # lat0 lon0 xBary yBary zBary JD0 -1.413393 -173.901839 0.383854 -0.022929 -0.919986 2451606.941976 # Heliocentric elements and errors Epoch: 2451606.5000 = 2000/03/03 Mean Anomaly: 220.38589 +/- 0.032 Argument of Peri: 27.09312 +/- 0.028 Long of Asc Node: 301.27468 +/- 0.003 Inclination: 1.53631 +/- 0.000 Eccentricity: 0.04401621 +/- 0.0000 Semi-Major Axis: 43.97735048 +/- 0.0019 Time of Perihelion: 2492917.7966 +/- 10.4 Perihelion: 42.04163430 +/- 0.0022 Aphelion: 45.91306665 +/- 0.0023 Period (y) 291.6432 +/- 0.02 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -45.25453233 +/- 0.0005 Ecliptic Y -4.44693550 +/- 0.0001 Ecliptic Z -1.09927605 +/- 0.0000 Ecliptic XDOT 0.00031454 +/- 0.0000 Ecliptic YDOT -0.00248652 +/- 0.0000 Ecliptic ZDOT -0.00002741 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 45.48579949 +/- 0.0005 Geocenter to KBO 44.57127838 +/- 0.0005 # Hcoef: 6.11
The following table shows the complete astrometric record for 13FA28. 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 (13FA28) followed by the observatory code and reference code for the source of the astrometry.
2000 03 03.441233 12 20 09.03 -03 43 10.7 22.1V 13FA28 645 C~1pQU 2000 03 03.442062 12 20 09.03 -03 43 10.7 21.6V 13FA28 645 C~1pQU 2000 03 03.444550 12 20 09.03 -03 43 10.7 23.0V 13FA28 645 C~1pQU 2006 01 31.470719 12 47 41.70 -06 42 49.0 22.7V 13FA28 645 C~1pQU 2006 01 31.471548 12 47 41.70 -06 42 49.0 22.2V 13FA28 645 C~1pQU 2006 01 31.474036 12 47 41.69 -06 42 48.9 23.7V 13FA28 645 C~1pQU 2006 05 01.280849 12 42 23.66 -06 10 24.1 22.7V 13FA28 645 C~1pQU 2006 05 01.281678 12 42 23.66 -06 10 24.1 21.9V 13FA28 645 C~1pQU 2006 05 01.284166 12 42 23.64 -06 10 24.0 23.5V 13FA28 645 C~1pQU 2011 03 13.45483 13 07 51.880 -08 51 47.96 23.4G 13FA28 F51 C~2rXx 2011 03 13.46695 13 07 51.824 -08 51 47.95 22.8G 13FA28 F51 C~2rXx 2011 04 03.44016 13 06 26.701 -08 43 23.50 22.7G 13FA28 F51 C~2rXx 2011 04 03.45406 13 06 26.645 -08 43 23.11 22.3G 13FA28 F51 C~2rXx 2011 04 03.46991 13 06 26.578 -08 43 22.73 22.5G 13FA28 F51 C~2rXx 2012 01 06.62747 13 14 02.605 -09 27 30.57 22.4G 13FA28 F51 C~2rXx 2012 01 06.63278 13 14 02.617 -09 27 30.65 22.5G 13FA28 F51 C~2rXx 2012 01 06.63805 13 14 02.622 -09 27 30.63 22.4G 13FA28 F51 C~2rXx 2012 01 06.64335 13 14 02.631 -09 27 30.56 22.8G 13FA28 F51 C~2rXx 2012 03 16.49896 13 12 05.686 -09 17 59.62 22.8G 13FA28 F51 C~2rXx 2012 04 13.40243 13 10 09.542 -09 06 29.85 22.1G 13FA28 F51 C~2rXx 2012 04 16.39297 13 09 56.830 -09 05 11.94 23.0G 13FA28 F51 C~2rXx 2012 04 16.40618 13 09 56.771 -09 05 11.90 22.2G 13FA28 F51 C~2rXx 2012 04 16.41939 13 09 56.715 -09 05 11.65 22.7G 13FA28 F51 C~2rXx 2012 04 16.43263 13 09 56.673 -09 05 11.05 23.6G 13FA28 F51 C~2rXx 2012 04 25.35466 13 09 19.527 -09 01 21.99 22.4G 13FA28 F51 C~2rXx 2012 04 26.40311 13 09 15.285 -09 00 55.76 22.4G 13FA28 F51 C~2rXx 2012 04 28.36661 13 09 07.404 -09 00 06.08 21.7G 13FA28 F51 C~2rXx 2012 06 07.26630 13 07 05.277 -08 46 50.04 22.2G 13FA28 F51 C~2rXx 2013 03 16.25367 13 16 37.139 -09 45 36.46 13FA28 807 C~14Qh 2013 03 16.25367 13 16 37.12 -09 45 36.9 22.6r 13FA28 W84 C~2J9e 2013 03 16.30082 13 16 36.955 -09 45 35.54 22.1r 13FA28 807 C~14Qh 2013 03 16.30082 13 16 36.93 -09 45 35.8 13FA28 W84 C~2J9e 2013 03 16.35904 13 16 36.728 -09 45 34.00 13FA28 807 C~14Qh 2013 04 09.47426 13 14 57.236 -09 35 53.22 21.9G 13FA28 F51 C~2rXx 2013 04 09.48890 13 14 57.169 -09 35 52.41 22.3G 13FA28 F51 C~2rXx 2013 04 16.26314 13 14 28.17 -09 32 57.4 22.6V 13FA28 W84 C~1UFp 2013 04 16.26722 13 14 28.15 -09 32 57.4 13FA28 W84 C~1UFp 2013 04 16.30402 13 14 27.99 -09 32 56.5 13FA28 W84 C~1UFp 2013 04 16.30816 13 14 27.98 -09 32 56.3 13FA28 W84 C~1UFp 2013 04 16.31253 13 14 27.95 -09 32 56.2 13FA28 W84 C~1UFp 2013 04 16.31668 13 14 27.95 -09 32 56.1 13FA28 W84 C~1UFp 2013 05 04.39729 13 13 13.982 -09 25 21.72 23.1G 13FA28 F51 C~2rXx 2013 05 09.06799 13 12 56.466 -09 23 31.46 22.2r 13FA28 807 C~14Qh 2013 05 10.12071 13 12 52.628 -09 23 07.23 13FA28 807 C~14Qh 2014 01 05.60058 13 22 50.766 -10 20 44.04 23.0G 13FA28 F51 C~2rXx 2014 02 25.56601 13 22 10.673 -10 18 37.70 22.5G 13FA28 F51 C~2rXx 2014 02 25.57863 13 22 10.642 -10 18 37.38 23.1G 13FA28 F51 C~2rXx 2014 02 25.59124 13 22 10.620 -10 18 37.40 22.6G 13FA28 F51 C~2rXx 2014 02 25.60383 13 22 10.586 -10 18 37.22 22.8G 13FA28 F51 C~2rXx 2014 04 04.48039 13 19 50.961 -10 05 30.68 21.8G 13FA28 F51 C~2rXx 2014 04 28.41153 13 18 09.405 -09 55 23.04 23.2G 13FA28 F51 C~2rXx 2014 05 01.26761 13 17 57.923 -09 54 12.13 22.0r 13FA28 304 C~14Qh 2014 05 02.27997 13 17 53.866 -09 53 47.13 13FA28 304 C~14Qh 2014 05 28.27776 13 16 24.911 -09 44 24.26 22.3G 13FA28 F51 C~2rXx 2014 05 28.28988 13 16 24.864 -09 44 24.27 22.8G 13FA28 F51 C~2rXx 2014 05 28.30199 13 16 24.819 -09 44 23.96 22.5G 13FA28 F51 C~2rXx 2014 05 28.31410 13 16 24.763 -09 44 23.42 22.7G 13FA28 F51 C~2rXx 2015 03 16.40848 13 25 41.79 -10 40 08.5 22.4R 13FA28 G37 C~1N7m 2015 03 16.46245 13 25 41.56 -10 40 06.8 13FA28 G37 C~1N7m 2015 03 29.52549 13 24 49.924 -10 35 15.78 22.4G 13FA28 F51 C~2rXx 2016 02 09.66120 13 31 48.073 -11 14 59.81 22.7G 13FA28 F51 C~2rXx 2016 02 20.59611 13 31 28.109 -11 13 26.57 23.1G 13FA28 F51 C~2rXx 2016 03 04.54941 13 30 53.387 -11 10 28.18 22.5G 13FA28 F51 C~2rXx 2016 03 12.53739 13 30 26.870 -11 08 05.97 22.9G 13FA28 F51 C~2rXx 2016 03 14.58619 13 30 19.526 -11 07 26.28 20.5G 13FA28 F51 C~2rXx 2016 04 03.44118 13 29 00.477 -11 00 03.87 22.1G 13FA28 F51 C~2rXx 2017 02 02.50064 13 36 27.42 -11 41 46.1 13FA28 G37 C~3zkD 2017 02 02.52447 13 36 27.40 -11 41 46.1 13FA28 G37 C~3zkD 2017 02 02.54827 13 36 27.38 -11 41 46.1 13FA28 G37 C~3zkD 2017 03 21.44502 13 34 30.162 -11 31 56.75 22.8G 13FA28 F51 C~2rXx 2017 03 28.53778 13 34 01.897 -11 29 20.27 22.4G 13FA28 F51 C~2rXx 2017 04 27.36589 13 31 54.482 -11 17 10.59 22.5G 13FA28 F51 C~2rXx 2018 03 22.58022 13 39 03.495 -11 58 12.14 21.6G 13FA28 F51 C~2rXx 2018 04 12.48167 13 37 36.678 -11 50 11.61 13FA28 F51 C~2rXx 2020 04 22.38504 13 46 08.778 -12 38 38.23 22.8w 13FA28 F51 C~3qKC 2020 04 22.39667 13 46 08.739 -12 38 38.19 22.3w 13FA28 F51 C~3qKC 2020 04 22.40829 13 46 08.682 -12 38 37.95 22.3w 13FA28 F51 C~3qKC 2020 04 22.42000 13 46 08.634 -12 38 37.35 22.4w 13FA28 F51 C~3qKC 2022 04 26.222460 13 55 15.614 -13 28 53.09 22.3G 13FA28 G37 C~5ZZN 2022 04 26.273380 13 55 15.384 -13 28 51.61 13FA28 G37 C~5ZZN
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 -0.13 0.00 -0.39
2 0.0000 0.00 -0.09 0.00 -0.41
3 0.0000 0.00 0.06 0.00 -0.47
4 5.9138 0.00 0.09 0.00 0.17
5 5.9138 0.00 0.11 0.00 0.16
6 5.9138 0.00 0.02 0.00 0.24
7 6.1597 0.00 -0.12 0.00 0.27
8 6.1597 0.00 -0.08 0.00 0.25
9 6.1597 0.00 -0.24 0.00 0.29
10 11.0254 0.00 -0.12 0.00 0.01
11 11.0254 0.00 -0.26 0.00 -0.25
12 11.0828 0.00 -0.12 0.00 0.03
13 11.0829 0.00 -0.06 0.00 0.06
14 11.0829 0.00 -0.03 0.00 0.03
15 11.8445 0.00 -0.02 0.00 -0.16
16 11.8445 0.00 0.08 0.00 -0.19
17 11.8445 0.00 0.07 0.00 -0.12
18 11.8445 0.00 0.12 0.00 -0.01
19 12.0358 0.00 -0.10 0.00 0.07
20 12.1121 0.00 -0.03 0.00 -0.16
21 12.1203 0.00 -0.07 0.00 0.19
22 12.1204 0.00 -0.10 0.00 -0.11
23 12.1204 0.00 -0.09 0.00 -0.20
24 12.1204 0.00 0.14 0.00 0.05
25 12.1449 0.00 -0.21 0.00 0.24
26 12.1477 0.00 -0.03 0.00 0.04
27 12.1531 0.00 -0.13 0.00 0.60
28 12.2624 0.00 -0.09 0.00 0.11
29 13.0344 0.00 0.07 0.00 -0.12
30 13.0344 0.00 0.35 0.00 0.32
31 13.0345 0.00 0.34 0.00 0.22
32 13.0345 0.00 -0.04 0.00 -0.04
33 13.0347 0.00 0.32 0.00 0.49
34 13.1007 0.00 -0.04 0.00 -0.61
35 13.1007 0.00 -0.09 0.00 -0.18
36 13.1193 0.00 0.11 0.00 0.16
37 13.1193 0.00 0.08 0.00 0.06
38 13.1194 0.00 0.06 0.00 0.00
39 13.1194 0.00 0.18 0.00 0.10
40 13.1194 0.00 0.01 0.00 0.08
41 13.1194 0.00 0.28 0.00 0.08
42 13.1689 0.00 -0.07 0.00 -0.00
43 13.1817 0.00 0.23 0.00 -0.09
44 13.1846 0.00 0.19 0.00 -0.07
45 13.8430 0.00 -0.28 0.00 0.04
46 13.9825 0.00 -0.24 0.00 -0.04
47 13.9826 0.00 -0.17 0.00 0.10
48 13.9826 0.00 0.04 0.00 -0.11
49 13.9826 0.00 0.07 0.00 -0.11
50 14.0863 0.00 -0.43 0.00 -0.07
51 14.1519 0.00 -0.16 0.00 -0.23
52 14.1597 0.00 1.01 0.00 -0.29
53 14.1625 0.00 0.74 0.00 -0.13
54 14.2336 0.00 0.29 0.00 0.24
55 14.2337 0.00 0.09 0.00 0.01
56 14.2337 0.00 -0.07 0.00 0.10
57 14.2337 0.00 -0.40 0.00 0.42
58 15.0334 0.00 0.29 0.00 -0.06
59 15.0336 0.00 -0.10 0.00 0.52
60 15.0694 0.00 -0.01 0.00 0.16
61 15.9376 0.00 0.07 0.00 -0.13
62 15.9676 0.00 -0.15 0.00 0.06
63 16.0030 0.00 -0.03 0.00 0.08
64 16.0249 0.00 0.04 0.00 0.08
65 16.0305 0.00 -0.10 0.00 -0.15
66 16.0849 0.00 -0.06 0.00 -0.08
67 16.9201 0.00 0.06 0.00 0.03
68 16.9201 0.00 0.06 0.00 -0.02
69 16.9202 0.00 0.05 0.00 -0.07
70 17.0486 0.00 -0.19 0.00 -0.27
71 17.0680 0.00 -0.03 0.00 0.21
72 17.1497 0.00 0.01 0.00 0.04
73 18.0510 0.00 -0.37 0.00 -0.33
74 18.1083 0.00 -0.02 0.00 -0.29
75 20.1367 0.00 -0.24 0.00 0.06
76 20.1368 0.00 -0.05 0.00 -0.18
77 20.1368 0.00 -0.12 0.00 -0.22
78 20.1368 0.00 -0.06 0.00 0.09
79 22.1459 0.00 0.00 0.00 -0.26
80 22.1460 0.00 -0.04 0.00 0.00
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.
13FA28 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.964 43.964 43.964 ecceobj 0.044 0.044 0.044 incobj 1.537 1.537 1.537 qmin 41.647 41.643 41.646 qmax 47.073 47.073 47.072 amean 44.249 44.249 44.249 amin 43.905 43.903 43.907 amax 44.605 44.609 44.605 emean 0.041 0.041 0.041 emin 0.026 0.025 0.026 emax 0.055 0.055 0.055 imean 3.218 3.218 3.218 imin 2.579 2.579 2.578 imax 3.727 3.728 3.728 excite_mean 0.070 0.070 0.070 fracstop 1.000 1.000 1.000 cjmean 3.098 3.098 3.098 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 182.1 181.9 182.1 kozaiamp 180.0 180.0 180.0