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: 13FT28 # Created Wed Dec 25 02:09:21 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 18 observations of 18 # Arc: 8.01y # First observation: 2013/03/16 # Last observation: 2021/03/20 # Chi-squared of fit: 11.92 DOF: 30 RMS: 0.14 # Min/Max residuals: -0.26 0.32 # Exact a, adot, b, bdot, g, gdot: 1.529584E-05 1.592854E-02 3.235509E-06 4.538643E-03 1.724710E-02 -9.195126E-03 # Covariance matrix: 4.1346E-13 -1.7103E-13 1.6570E-14 -3.2510E-14 3.0885E-13 -8.6973E-13 -1.7103E-13 1.5005E-13 -2.4127E-14 3.6911E-14 -7.7520E-14 9.6051E-13 1.6570E-14 -2.4127E-14 1.3315E-13 -3.1660E-14 -2.2532E-15 -1.7887E-13 -3.2510E-14 3.6911E-14 -3.1660E-14 2.2608E-14 -9.0574E-15 2.6532E-13 3.0885E-13 -7.7520E-14 -2.2532E-15 -9.0574E-15 4.3914E-13 -2.7715E-13 -8.6973E-13 9.6051E-13 -1.7887E-13 2.6532E-13 -2.7715E-13 6.8766E-12 # lat0 lon0 xBary yBary zBary JD0 -7.036164 -164.790833 0.331007 -0.114937 -0.931786 2456367.759258 # Heliocentric elements and errors Epoch: 2456368.5000 = 2013/03/17 Mean Anomaly: 356.53652 +/- 0.007 Argument of Peri: 40.61653 +/- 0.013 Long of Asc Node: 217.67967 +/- 0.000 Inclination: 17.40292 +/- 0.000 Eccentricity: 0.84842552 +/- 0.0002 Semi-Major Axis: 287.38880780 +/- 0.3699 Time of Perihelion: 2473488.8553 +/- 3402.3 Perihelion: 43.56081053 +/- 0.0800 Aphelion: 531.21680506 +/- 0.6860 Period (y) 4872.0639 +/- 9.41 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -56.52036459 +/- 0.0021 Ecliptic Y -15.02154813 +/- 0.0006 Ecliptic Z -7.10222989 +/- 0.0003 Ecliptic XDOT 0.00196984 +/- 0.0000 Ecliptic YDOT -0.00208248 +/- 0.0000 Ecliptic ZDOT 0.00089399 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 58.91262959 +/- 0.0021 Geocenter to KBO 57.98127922 +/- 0.0022 # Hcoef: 7.19
The following table shows the complete astrometric record for 13FT28. 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 (13FT28) followed by the observatory code and reference code for the source of the astrometry.
2013 03 16.25848 12 44 55.262 -12 28 17.85 24.4r 13FT28 807 C~1x8W 2013 03 16.30593 12 44 55.115 -12 28 16.92 13FT28 807 C~1x8W 2013 03 16.36493 12 44 54.938 -12 28 16.01 13FT28 807 C~1x8W 2013 05 08.01481 12 42 15.372 -12 08 25.96 13FT28 807 C~1x8W 2013 05 08.10633 12 42 15.149 -12 08 23.97 13FT28 807 C~1x8W 2013 05 08.19040 12 42 14.918 -12 08 22.16 13FT28 807 C~1x8W 2013 07 08.00328 12 41 20.284 -11 53 07.17 13FT28 304 C~1x8W 2013 07 08.05365 12 41 20.311 -11 53 07.10 13FT28 304 C~1x8W 2014 05 01.16518 12 46 26.119 -12 18 15.90 13FT28 304 C~1x8W 2014 05 01.20695 12 46 26.011 -12 18 14.59 24.1r 13FT28 304 C~1x8W 2014 05 02.16275 12 46 23.351 -12 17 52.25 13FT28 304 C~1x8W 2015 04 20.24921 12 50 56.670 -12 29 45.22 13FT28 304 C~1x8W 2015 04 20.28162 12 50 56.584 -12 29 44.43 13FT28 304 C~1x8W 2016 03 08.32581 12 57 13.500 -12 51 46.87 13FT28 304 C~1x8W 2016 03 08.37846 12 57 13.345 -12 51 45.77 13FT28 304 C~1x8W 2016 03 09.40246 12 57 10.408 -12 51 28.76 13FT28 304 C~1x8W 2021 03 20.373710 13 18 07.197 -13 21 24.24 25.4G 13FT28 G37 C~4hys 2021 03 20.420300 13 18 07.029 -13 21 23.14 13FT28 G37 C~4hys
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 -0.06 0.00 0.23
2 0.0001 0.00 -0.05 0.00 0.25
3 0.0003 0.00 0.05 0.00 0.03
4 0.1444 0.00 0.18 0.00 0.04
5 0.1447 0.00 0.32 0.00 -0.04
6 0.1449 0.00 0.05 0.00 -0.14
7 0.3114 0.00 0.02 0.00 -0.04
8 0.3116 0.00 -0.23 0.00 -0.21
9 1.1250 0.00 -0.21 0.00 -0.26
10 1.1251 0.00 -0.05 0.00 0.07
11 1.1277 0.00 -0.19 0.00 -0.02
12 2.0944 0.00 -0.20 0.00 0.03
13 2.0945 0.00 0.05 0.00 0.04
14 2.9790 0.00 0.18 0.00 -0.10
15 2.9791 0.00 0.14 0.00 0.12
16 2.9819 0.00 0.01 0.00 -0.07
17 8.0113 0.00 0.13 0.00 -0.07
18 8.0114 0.00 -0.15 0.00 0.11
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.
13FT28 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 280.775 280.762 280.788 ecceobj 0.845 0.845 0.845 incobj 17.432 17.432 17.432 qmin 40.503 40.560 40.575 qmax 597.039 598.364 590.640 amean 294.098 296.090 293.835 amin 280.299 280.762 279.755 amax 320.216 320.889 317.044 emean 0.852 0.853 0.852 emin 0.842 0.842 0.842 emax 0.864 0.865 0.863 imean 17.776 17.831 17.819 imin 17.245 17.346 17.360 imax 18.423 18.424 18.423 excite_mean 0.905 0.906 0.905 fracstop 1.000 1.000 1.000 cjmean 3.216 3.217 3.216 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 51.8 50.9 50.4 kozaiamp 12.8 11.7 10.7