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: 15FK564 # Created Sun Oct 19 01:10:51 2025 # Orbit generated from Bernstein formalism # Fitting 34 observations of 34 # Arc: 62.84d # First observation: 2015/01/16 # Last observation: 2015/03/20 Preliminary a, adot, b, bdot, g, gdot: -0.000000 0.016281 0.000001 0.006824 0.020447 0.000000 # Chi-squared of fit: 18.30 DOF: 62 RMS: 0.13 # Min/Max residuals: -0.25 0.41 # Exact a, adot, b, bdot, g, gdot: 1.208957E-05 1.582758E-02 6.143938E-06 6.808612E-03 2.034536E-02 1.563176E-03 # Covariance matrix: 1.8162E-13 1.1102E-10 5.8106E-14 2.6947E-12 2.2426E-11 1.3156E-09 1.1102E-10 1.6386E-07 8.2219E-11 3.0760E-09 3.0522E-08 1.1322E-06 5.8106E-14 8.2219E-11 9.9318E-14 1.1911E-12 1.5393E-11 5.9328E-10 2.6947E-12 3.0760E-09 1.1911E-12 7.5105E-11 5.9408E-10 2.8128E-08 2.2426E-11 3.0522E-08 1.5393E-11 5.9408E-10 5.7441E-09 2.2998E-07 1.3156E-09 1.1322E-06 5.9328E-10 2.8128E-08 2.2998E-07 1.4041E-05 # lat0 lon0 xBary yBary zBary JD0 -9.059655 151.506080 0.574045 -0.125259 -0.786589 2457039.040018 # Heliocentric elements and errors Epoch: 2457030.5000 = 2015/01/08 Mean Anomaly: 130.21972 +/- 87.728 Argument of Peri: 198.86552 +/- 83.908 Long of Asc Node: 170.82447 +/- 0.505 Inclination: 24.65360 +/- 0.530 Eccentricity: 0.11387169 +/- 0.1113 Semi-Major Axis: 46.23015242 +/- 2.4398 Time of Perihelion: 2415500.6218 +/- 27784.4 Perihelion: 40.96584663 +/- 5.5791 Aphelion: 51.49445820 +/- 5.8170 Period (y) 314.3375 +/- 24.88 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -43.08794685 +/- 0.1589 Ecliptic Y 24.04061276 +/- 0.0863 Ecliptic Z -7.73921651 +/- 0.0288 Ecliptic XDOT -0.00132934 +/- 0.0005 Ecliptic YDOT -0.00170931 +/- 0.0002 Ecliptic ZDOT 0.00087177 +/- 0.0001 # Distances at JD0 (AU) Heliocenter to KBO 49.94414578 +/- 0.1433 Geocenter to KBO 49.15125260 +/- 0.1831 # Hcoef: 8.79
The following table shows the complete astrometric record for 15FK564. 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 (15FK564) followed by the observatory code and reference code for the source of the astrometry.
2015 01 16.53924 10 01 14.03 +02 27 37.5 25.3z 15FK564 T09 C~90HY 2015 01 16.54315 10 01 14.02 +02 27 37.9 25.2z 15FK564 T09 C~90HY 2015 01 16.55599 10 01 13.97 +02 27 37.7 25.3z 15FK564 T09 C~90HY 2015 01 16.56849 10 01 13.94 +02 27 38.0 25.3z 15FK564 T09 C~90HY 2015 01 16.57632 10 01 13.90 +02 27 38.2 25.1z 15FK564 T09 C~90HY 2015 01 16.61461 10 01 13.78 +02 27 38.9 25.3z 15FK564 T09 C~90HY 2015 01 16.61862 10 01 13.76 +02 27 38.9 25.4z 15FK564 T09 C~90HY 2015 01 16.62952 10 01 13.74 +02 27 38.9 24.9z 15FK564 T09 C~90HY 2015 01 16.63677 10 01 13.71 +02 27 39.1 25.0z 15FK564 T09 C~90HY 2015 01 17.36841 10 01 11.35 +02 27 50.1 26.2i 15FK564 T09 C~90HY 2015 01 17.40524 10 01 11.23 +02 27 51.2 26.6i 15FK564 T09 C~90HY 2015 01 17.40983 10 01 11.20 +02 27 50.8 25.8i 15FK564 T09 C~90HY 2015 01 17.41437 10 01 11.19 +02 27 51.0 25.4i 15FK564 T09 C~90HY 2015 01 17.42357 10 01 11.18 +02 27 51.0 26.1i 15FK564 T09 C~90HY 2015 01 17.42812 10 01 11.16 +02 27 51.2 25.8i 15FK564 T09 C~90HY 2015 01 17.43268 10 01 11.16 +02 27 51.2 25.3i 15FK564 T09 C~90HY 2015 01 20.42343 10 01 01.18 +02 28 39.0 26.6g 15FK564 T09 C~90HY 2015 01 20.43306 10 01 01.16 +02 28 39.0 26.3g 15FK564 T09 C~90HY 2015 01 20.43784 10 01 01.15 +02 28 39.0 26.4g 15FK564 T09 C~90HY 2015 01 21.55881 10 00 57.30 +02 28 57.8 25.8i 15FK564 T09 C~90HY 2015 01 21.56653 10 00 57.29 +02 28 58.2 25.5i 15FK564 T09 C~90HY 2015 01 21.57534 10 00 57.23 +02 28 58.2 25.2i 15FK564 T09 C~90HY 2015 01 21.58764 10 00 57.19 +02 28 58.2 25.3i 15FK564 T09 C~90HY 2015 01 21.59540 10 00 57.17 +02 28 58.4 25.7i 15FK564 T09 C~90HY 2015 01 21.60268 10 00 57.14 +02 28 58.5 25.6i 15FK564 T09 C~90HY 2015 01 21.61742 10 00 57.10 +02 28 58.9 25.6i 15FK564 T09 C~90HY 2015 01 21.62126 10 00 57.10 +02 28 58.9 25.3i 15FK564 T09 C~90HY 2015 03 18.39076 09 57 27.87 +02 51 43.5 26.2r 15FK564 T09 C~90HY 2015 03 18.42974 09 57 27.75 +02 51 44.7 25.6r 15FK564 T09 C~90HY 2015 03 18.44789 09 57 27.68 +02 51 45.0 25.6r 15FK564 T09 C~90HY 2015 03 20.33757 09 57 21.47 +02 52 37.5 25.5i 15FK564 T09 C~90HY 2015 03 20.35412 09 57 21.43 +02 52 37.8 25.6i 15FK564 T09 C~90HY 2015 03 20.36873 09 57 21.38 +02 52 38.3 25.9i 15FK564 T09 C~90HY 2015 03 20.38334 09 57 21.33 +02 52 38.7 25.6i 15FK564 T09 C~90HY
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 0.04 0.00 -0.18
2 0.0000 -0.28 -0.04 0.32 0.16
3 0.0000 -0.91 -0.01 -0.13 -0.25
4 0.0001 -1.44 0.11 -0.00 -0.08
5 0.0001 -2.07 -0.12 -0.03 -0.08
6 0.0002 -4.00 -0.08 0.00 0.07
7 0.0002 -4.28 -0.15 -0.10 -0.02
8 0.0002 -4.56 0.13 -0.21 -0.09
9 0.0003 -5.05 0.01 -0.18 -0.04
10 0.0023 -42.03 0.01 -2.25 -0.11
11 0.0024 -44.10 -0.15 -1.85 0.41
12 0.0024 -44.38 -0.19 -2.38 -0.11
13 0.0024 -44.59 -0.17 -2.25 0.04
14 0.0024 -44.73 0.17 -2.30 0.01
15 0.0024 -45.09 0.05 -2.22 0.11
16 0.0024 -45.09 0.29 -2.22 0.12
17 0.0106 -201.92 -0.14 -9.77 0.14
18 0.0107 -202.20 0.10 -9.87 0.06
19 0.0107 -202.34 0.22 -9.92 0.02
20 0.0137 -262.97 -0.02 -12.50 -0.07
21 0.0138 -263.25 0.13 -12.18 0.27
22 0.0138 -264.09 -0.23 -12.49 -0.02
23 0.0138 -264.65 -0.11 -12.70 -0.20
24 0.0138 -265.00 -0.03 -12.62 -0.10
25 0.0139 -265.46 -0.09 -12.68 -0.15
26 0.0139 -266.16 0.02 -12.52 0.05
27 0.0139 -266.16 0.23 -12.52 0.06
28 0.1666 -3680.81 -0.11 170.20 0.00
29 0.1667 -3682.91 0.02 170.70 0.18
30 0.1668 -3684.00 -0.03 170.61 -0.06
31 0.1719 -3789.55 -0.14 187.33 -0.01
32 0.1720 -3790.21 0.12 187.40 -0.08
33 0.1720 -3791.09 0.07 187.60 -0.00
34 0.1721 -3791.93 0.05 187.72 -0.02
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.
15FK564 quality flag:0 Type: ERR2LARGE ERR2LARGE ERR2LARGE axisobj 0.000 0.000 0.000 ecceobj -1.000 -1.000 -1.000 incobj -1.000 -1.000 -1.000 qmin 0.000 0.000 0.000 qmax 0.000 0.000 0.000 amean 0.000 0.000 0.000 amin 0.000 0.000 0.000 amax 0.000 0.000 0.000 emean 0.000 0.000 0.000 emin 0.000 0.000 0.000 emax 0.000 0.000 0.000 imean 0.000 0.000 0.000 imin 0.000 0.000 0.000 imax 0.000 0.000 0.000 excite_mean 0.000 0.000 0.000 fracstop 0.000 0.000 0.000 cjmean 0.000 0.000 0.000 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 0.0 0.0 0.0 kozaiamp 0.0 0.0 0.0