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: 13FS28 # Created Wed Dec 25 02:09:21 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 33 observations of 33 # Arc: 7.85y # First observation: 2013/03/16 # Last observation: 2021/01/19 # Chi-squared of fit: 40.62 DOF: 60 RMS: 0.20 # Min/Max residuals: -0.42 0.52 # Exact a, adot, b, bdot, g, gdot: 1.033203E-05 6.358160E-03 2.851785E-06 1.451267E-03 1.149946E-02 -6.202621E-03 # Covariance matrix: 2.1858E-13 1.3821E-14 -5.4453E-15 8.4843E-15 1.6498E-13 7.4731E-13 1.3821E-14 6.4639E-14 -9.1772E-15 1.6381E-14 1.0969E-13 1.4453E-12 -5.4453E-15 -9.1772E-15 1.3096E-13 -2.2298E-14 -1.7201E-14 -2.2025E-13 8.4843E-15 1.6381E-14 -2.2298E-14 8.9609E-15 2.8880E-14 3.9421E-13 1.6498E-13 1.0969E-13 -1.7201E-14 2.8880E-14 3.5304E-13 2.5462E-12 7.4731E-13 1.4453E-12 -2.2025E-13 3.9421E-13 2.5462E-12 3.4782E-11 # lat0 lon0 xBary yBary zBary JD0 -1.939669 -163.431977 0.353332 -0.031431 -0.930143 2456367.749828 # Heliocentric elements and errors Epoch: 2456368.5000 = 2013/03/17 Mean Anomaly: 335.90813 +/- 0.078 Argument of Peri: 104.75059 +/- 0.024 Long of Asc Node: 204.62238 +/- 0.000 Inclination: 13.08878 +/- 0.001 Eccentricity: 0.73755648 +/- 0.0006 Semi-Major Axis: 136.61295296 +/- 0.2884 Time of Perihelion: 2495399.0100 +/- 1727.8 Perihelion: 35.85318463 +/- 0.1145 Aphelion: 237.37272128 +/- 0.5084 Period (y) 1596.7834 +/- 5.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -84.29412373 +/- 0.0043 Ecliptic Y -24.70797117 +/- 0.0013 Ecliptic Z -2.94313792 +/- 0.0002 Ecliptic XDOT 0.00182881 +/- 0.0000 Ecliptic YDOT -0.00103281 +/- 0.0000 Ecliptic ZDOT 0.00039545 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 87.89070133 +/- 0.0041 Geocenter to KBO 86.96138054 +/- 0.0045 # Hcoef: 4.92
The following table shows the complete astrometric record for 13FS28. 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 (13FS28) followed by the observatory code and reference code for the source of the astrometry.
2013 03 16.24905 12 58 03.652 -08 18 12.61 24.4r 13FS28 807 C~1x8W 2013 03 16.29597 12 58 03.547 -08 18 11.68 13FS28 807 C~1x8W 2013 03 16.35182 12 58 03.446 -08 18 11.37 13FS28 807 C~1x8W 2013 05 06.08131 12 56 11.77 -08 05 48.75 13FS28 807 C~1x8W 2013 05 06.12769 12 56 11.68 -08 05 48.11 13FS28 807 C~1x8W 2013 07 07.98706 12 55 12.639 -07 57 30.26 13FS28 304 C~1x8W 2013 07 08.02453 12 55 12.649 -07 57 30.26 13FS28 304 C~1x8W 2013 07 08.06743 12 55 12.670 -07 57 30.15 13FS28 304 C~1x8W 2014 03 28.27346 12 59 07.469 -08 19 14.83 13FS28 807 C~1x8W 2014 03 28.34443 12 59 07.300 -08 19 13.91 13FS28 807 C~1x8W 2014 05 01.17108 12 57 51.307 -08 10 47.27 13FS28 304 C~1x8W 2014 05 01.21310 12 57 51.237 -08 10 46.40 24.0r 13FS28 304 C~1x8W 2014 05 02.17315 12 57 49.270 -08 10 32.96 13FS28 304 C~1x8W 2019 05 05.02015 13 05 29.360 -08 29 25.95 24.0r 13FS28 807 C~4Z7u 2019 05 05.23853 13 05 28.925 -08 29 22.93 24.1r 13FS28 807 C~4Z7u 2019 05 07.17729 13 05 24.869 -08 28 55.57 13FS28 G37 C~4Z7u 2019 05 07.18458 13 05 24.857 -08 28 55.31 13FS28 G37 C~4Z7u 2019 05 07.19190 13 05 24.843 -08 28 55.32 13FS28 G37 C~4Z7u 2019 05 07.19923 13 05 24.825 -08 28 55.02 13FS28 G37 C~4Z7u 2019 05 07.24600 13 05 24.724 -08 28 54.39 13FS28 G37 C~4Z7u 2019 05 07.25328 13 05 24.700 -08 28 54.33 13FS28 G37 C~4Z7u 2019 05 07.26055 13 05 24.691 -08 28 54.17 13FS28 G37 C~4Z7u 2019 05 07.26787 13 05 24.681 -08 28 54.25 13FS28 G37 C~4Z7u 2020 05 27.20052 13 06 23.752 -08 28 29.09 24.2r 13FS28 G37 C~4Z7u 2020 05 27.20807 13 06 23.746 -08 28 29.05 24.2r 13FS28 G37 C~4Z7u 2020 05 27.21548 13 06 23.737 -08 28 28.99 24.2r 13FS28 G37 C~4Z7u 2020 05 27.26651 13 06 23.656 -08 28 28.33 24.3r 13FS28 G37 C~4Z7u 2020 05 27.27379 13 06 23.640 -08 28 28.41 24.2r 13FS28 G37 C~4Z7u 2020 06 11.20680 13 06 05.199 -08 26 08.56 13FS28 G37 C~4Z7u 2020 06 11.26396 13 06 05.149 -08 26 08.04 13FS28 G37 C~4Z7u 2020 06 11.28924 13 06 05.111 -08 26 07.74 23.8r 13FS28 G37 C~4Z7u 2021 01 17.34510 13 11 51.907 -08 57 24.53 24.2r 13FS28 304 C~4Z7u 2021 01 19.34288 13 11 51.659 -08 57 22.98 24.0r 13FS28 304 C~4Z7u
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 -0.37 0.00 -0.04
2 0.0001 0.00 -0.42 0.00 0.26
3 0.0003 0.00 -0.12 0.00 -0.19
4 0.1392 0.00 0.27 0.00 -0.35
5 0.1393 0.00 0.30 0.00 -0.34
6 0.3114 0.00 -0.20 0.00 0.11
7 0.3115 0.00 -0.19 0.00 0.09
8 0.3116 0.00 -0.03 0.00 0.17
9 1.0322 0.00 0.52 0.00 -0.09
10 1.0324 0.00 0.45 0.00 -0.22
11 1.1250 0.00 -0.19 0.00 0.18
12 1.1252 0.00 0.08 0.00 0.45
13 1.1278 0.00 0.24 0.00 0.21
14 6.1349 0.00 -0.22 0.00 -0.03
15 6.1355 0.00 0.27 0.00 -0.14
16 6.1408 0.00 -0.15 0.00 -0.20
17 6.1408 0.00 -0.10 0.00 -0.04
18 6.1408 0.00 -0.08 0.00 -0.16
19 6.1409 0.00 -0.12 0.00 0.04
20 6.1410 0.00 -0.16 0.00 0.01
21 6.1410 0.00 -0.29 0.00 -0.03
22 6.1410 0.00 -0.20 0.00 0.02
23 6.1411 0.00 -0.12 0.00 -0.16
24 7.1977 0.00 0.01 0.00 0.09
25 7.1977 0.00 0.10 0.00 0.05
26 7.1977 0.00 0.13 0.00 0.03
27 7.1979 0.00 0.09 0.00 0.13
28 7.1979 0.00 0.02 0.00 -0.03
29 7.2388 0.00 0.11 0.00 -0.10
30 7.2389 0.00 0.21 0.00 -0.02
31 7.2390 0.00 0.01 0.00 0.08
32 7.8415 0.00 0.00 0.00 0.12
33 7.8469 0.00 0.12 0.00 0.17
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.
13FS28 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 135.940 135.938 135.943 ecceobj 0.739 0.739 0.739 incobj 13.140 13.140 13.140 qmin 34.661 34.713 34.686 qmax 251.865 250.448 251.429 amean 134.610 134.951 136.818 amin 130.177 128.971 131.033 amax 143.927 143.480 143.985 emean 0.730 0.731 0.734 emin 0.717 0.715 0.720 emax 0.750 0.749 0.750 imean 14.423 14.535 14.390 imin 13.259 13.263 13.261 imax 15.537 15.674 15.480 excite_mean 0.771 0.773 0.775 fracstop 1.000 1.000 1.000 cjmean 3.022 3.021 3.022 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 185.5 185.9 181.5 kozaiamp 79.1 78.5 78.9