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: 13FK28 # Created Fri Nov 22 02:09:22 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 28 observations of 28 # Arc: 11.07y # First observation: 2013/02/16 # Last observation: 2024/03/13 # Chi-squared of fit: 44.16 DOF: 50 RMS: 0.22 # Min/Max residuals: -0.37 0.55 # Exact a, adot, b, bdot, g, gdot: 1.781245E-05 2.845533E-02 2.730018E-07 -8.655731E-06 2.670768E-02 1.226592E-03 # Covariance matrix: 4.3683E-13 1.6680E-14 -1.1867E-14 -5.6629E-16 6.8307E-13 8.0656E-14 1.6680E-14 6.7716E-14 -3.1418E-15 -1.0536E-16 1.8817E-13 2.3173E-13 -1.1867E-14 -3.1418E-15 1.1977E-13 -2.0594E-14 -2.8916E-14 -9.9943E-15 -5.6629E-16 -1.0536E-16 -2.0594E-14 7.6766E-15 -1.2934E-15 -2.9899E-16 6.8307E-13 1.8817E-13 -2.8916E-14 -1.2934E-15 1.6786E-12 6.0453E-13 8.0656E-14 2.3173E-13 -9.9943E-15 -2.9899E-16 6.0453E-13 9.0803E-13 # lat0 lon0 xBary yBary zBary JD0 -12.359845 157.165945 0.161830 -0.208445 -0.951633 2456339.782896 # Heliocentric elements and errors Epoch: 2456340.5000 = 2013/02/17 Mean Anomaly: 18.34882 +/- 0.029 Argument of Peri: 246.60546 +/- 0.037 Long of Asc Node: 247.18183 +/- 0.001 Inclination: 12.04870 +/- 0.000 Eccentricity: 0.11490594 +/- 0.0001 Semi-Major Axis: 43.02004989 +/- 0.0092 Time of Perihelion: 2451087.4636 +/- 8.5 Perihelion: 38.07679082 +/- 0.0100 Aphelion: 47.96330896 +/- 0.0117 Period (y) 282.1724 +/- 0.09 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -34.54264918 +/- 0.0016 Ecliptic Y 14.72235203 +/- 0.0007 Ecliptic Z -8.01460394 +/- 0.0004 Ecliptic XDOT -0.00125123 +/- 0.0000 Ecliptic YDOT -0.00263994 +/- 0.0000 Ecliptic ZDOT -0.00002765 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 38.39497579 +/- 0.0015 Geocenter to KBO 37.44241624 +/- 0.0018 # Hcoef: 7.81
The following table shows the complete astrometric record for 13FK28. 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 (13FK28) followed by the observatory code and reference code for the source of the astrometry.
2013 02 16.282118 10 17 16.19 -02 36 49.5 13FK28 W84 C~55Mp 2013 02 16.285914 10 17 16.18 -02 36 49.6 13FK28 W84 C~55Mp 2013 02 16.289711 10 17 16.16 -02 36 49.6 13FK28 W84 C~55Mp 2013 03 16.03362 10 15 02.138 -02 22 58.44 23.4r 13FK28 807 C~1M7X 2013 03 16.10813 10 15 01.807 -02 22 56.03 13FK28 807 C~1M7X 2013 03 16.17826 10 15 01.472 -02 22 53.73 13FK28 807 C~1M7X 2013 03 17.03265 10 14 57.696 -02 22 25.25 13FK28 807 C~1M7X 2013 03 17.051956 10 14 57.56 -02 22 25.3 13FK28 W84 C~55Mp 2013 04 03.157512 10 13 49.60 -02 12 55.6 13FK28 W84 C~55Mp 2013 04 03.158669 10 13 49.59 -02 12 55.7 13FK28 W84 C~55Mp 2014 03 23.995625 10 20 32.89 -02 54 32.7 13FK28 W84 C~55Mp 2014 03 24.001308 10 20 32.85 -02 54 32.7 13FK28 W84 C~55Mp 2014 03 24.007662 10 20 32.83 -02 54 32.4 13FK28 W84 C~55Mp 2014 03 27.007083 10 20 20.56 -02 52 50.9 23.7V 13FK28 W84 C~55Mp 2014 03 27.015752 10 20 20.53 -02 52 50.7 23.6V 13FK28 W84 C~55Mp 2014 03 27.017824 10 20 20.51 -02 52 50.8 13FK28 W84 C~55Mp 2014 03 27.019884 10 20 20.50 -02 52 50.5 13FK28 W84 C~55Mp 2014 03 27.026875 10 20 20.48 -02 52 50.3 13FK28 W84 C~55Mp 2017 03 23.074676 10 38 45.98 -04 41 27.3 13FK28 W84 C~55Mp 2017 03 23.081042 10 38 45.94 -04 41 27.1 13FK28 W84 C~55Mp 2017 03 24.129792 10 38 41.35 -04 40 50.9 13FK28 W84 C~55Mp 2017 03 24.136157 10 38 41.32 -04 40 50.8 13FK28 W84 C~55Mp 2019 04 04.071123 10 50 01.33 -05 44 29.1 13FK28 W84 C~55Mp 2019 04 04.078067 10 50 01.29 -05 44 28.8 13FK28 W84 C~55Mp 2019 04 05.066690 10 49 57.41 -05 43 54.3 13FK28 W84 C~55Mp 2019 04 05.072245 10 49 57.38 -05 43 54.2 13FK28 W84 C~55Mp 2024 03 13.296280 11 21 36.162 -08 43 48.05 23.8G 13FK28 G37 C~7wLg 2024 03 13.338940 11 21 36.001 -08 43 47.29 13FK28 G37 C~7wLg
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 -0.21 0.00 0.02
2 0.0000 0.00 -0.07 0.00 -0.18
3 0.0000 0.00 -0.08 0.00 -0.27
4 0.0760 0.00 0.38 0.00 0.40
5 0.0762 0.00 0.50 0.00 0.35
6 0.0764 0.00 0.27 0.00 0.33
7 0.0787 0.00 0.48 0.00 0.55
8 0.0788 0.00 -0.26 0.00 -0.14
9 0.1256 0.00 -0.06 0.00 -0.01
10 0.1256 0.00 -0.15 0.00 -0.15
11 1.0971 0.00 0.08 0.00 -0.07
12 1.0971 0.00 -0.16 0.00 -0.26
13 1.0971 0.00 -0.06 0.00 -0.18
14 1.1053 0.00 -0.17 0.00 -0.01
15 1.1054 0.00 -0.09 0.00 -0.11
16 1.1054 0.00 -0.27 0.00 -0.28
17 1.1054 0.00 -0.29 0.00 -0.05
18 1.1054 0.00 -0.16 0.00 -0.08
19 4.0953 0.00 0.21 0.00 -0.04
20 4.0953 0.00 0.04 0.00 -0.06
21 4.0981 0.00 -0.03 0.00 0.09
22 4.0982 0.00 -0.06 0.00 -0.02
23 6.1267 0.00 0.14 0.00 0.10
24 6.1268 0.00 -0.03 0.00 0.15
25 6.1295 0.00 0.06 0.00 0.01
26 6.1295 0.00 -0.06 0.00 -0.09
27 11.0692 0.00 -0.37 0.00 0.30
28 11.0693 0.00 0.36 0.00 -0.28
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.
13FK28 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 42.886 42.886 42.886 ecceobj 0.112 0.112 0.112 incobj 12.039 12.039 12.039 qmin 37.403 37.403 37.403 qmax 48.726 48.727 48.727 amean 42.938 42.938 42.938 amin 42.602 42.602 42.601 amax 43.316 43.316 43.315 emean 0.110 0.110 0.110 emin 0.096 0.096 0.096 emax 0.126 0.126 0.126 imean 13.701 13.701 13.701 imin 13.005 13.005 13.005 imax 14.429 14.429 14.429 excite_mean 0.261 0.261 0.261 fracstop 1.000 1.000 1.000 cjmean 3.007 3.007 3.007 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 180.6 180.6 180.6 kozaiamp 180.0 180.0 180.0