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: 15FA559 # Created Sat Aug 30 01:10:36 2025 # Orbit generated from Bernstein formalism # Fitting 37 observations of 38 # Arc: 4.22y # First observation: 2015/01/16 # Last observation: 2019/04/05 Preliminary a, adot, b, bdot, g, gdot: -0.000001 0.016905 -0.000009 0.005333 0.021036 0.000000 # Chi-squared of fit: 15.50 DOF: 68 RMS: 0.11 # Min/Max residuals: -0.29 0.24 # Exact a, adot, b, bdot, g, gdot: 1.265466E-05 1.666806E-02 4.430560E-06 5.240505E-03 2.086711E-02 -3.901060E-03 # Covariance matrix: 7.5453E-14 3.5604E-15 1.1783E-15 -2.7643E-15 8.9493E-14 -1.1167E-13 3.5604E-15 5.3340E-13 -2.5011E-14 2.0626E-13 4.0576E-13 9.1656E-12 1.1783E-15 -2.5011E-14 5.5444E-14 -2.5765E-14 -1.2105E-14 -4.8549E-13 -2.7643E-15 2.0626E-13 -2.5765E-14 1.0182E-13 1.2498E-13 3.8577E-12 8.9493E-14 4.0576E-13 -1.2105E-14 1.2498E-13 5.8918E-13 5.5940E-12 -1.1167E-13 9.1656E-12 -4.8549E-13 3.8577E-12 5.5940E-12 1.7119E-10 # lat0 lon0 xBary yBary zBary JD0 -9.453679 152.334205 0.585196 -0.129327 -0.777660 2457039.061148 # Heliocentric elements and errors Epoch: 2457030.5000 = 2015/01/08 Mean Anomaly: 261.87741 +/- 0.112 Argument of Peri: 94.89733 +/- 0.079 Long of Asc Node: 178.94940 +/- 0.001 Inclination: 19.64147 +/- 0.000 Eccentricity: 0.24268767 +/- 0.0006 Semi-Major Axis: 44.79799928 +/- 0.0127 Time of Perihelion: 2486881.0869 +/- 31.6 Perihelion: 33.92607727 +/- 0.0269 Aphelion: 55.66992128 +/- 0.0297 Period (y) 299.8445 +/- 0.13 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -42.29667056 +/- 0.0015 Ecliptic Y 22.83335227 +/- 0.0008 Ecliptic Z -7.87106007 +/- 0.0003 Ecliptic XDOT -0.00067216 +/- 0.0000 Ecliptic YDOT -0.00212422 +/- 0.0000 Ecliptic ZDOT 0.00076240 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 48.70650781 +/- 0.0014 Geocenter to KBO 47.92230715 +/- 0.0018 # Hcoef: 8.40
The following table shows the complete astrometric record for 15FA559. 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 (15FA559) followed by the observatory code and reference code for the source of the astrometry.
2015 01 16.56037 10 03 44.59 +01 48 16.0 24.9z 15FA559 T09 C~8uZG 2015 01 16.57632 10 03 44.54 +01 48 16.4 24.9z 15FA559 T09 C~8uZG 2015 01 16.59524 10 03 44.48 +01 48 16.4 24.7z 15FA559 T09 C~8uZG 2015 01 16.62952 10 03 44.37 +01 48 17.0 24.8z 15FA559 T09 C~8uZG 2015 01 16.66214 10 03 44.25 +01 48 17.6 25.3z 15FA559 T09 C~8uZG 2015 01 17.42357 10 03 41.74 +01 48 28.2 24.7i 15FA559 T09 C~8uZG 2015 01 17.42812 10 03 41.74 +01 48 28.2 24.9i 15FA559 T09 C~8uZG 2015 01 17.43268 10 03 41.72 +01 48 28.3 25.1i 15FA559 T09 C~8uZG 2015 01 17.43723 10 03 41.71 +01 48 28.2 25.3i 15FA559 T09 C~8uZG 2015 01 17.44180 10 03 41.69 +01 48 28.3 24.7i 15FA559 T09 C~8uZG 2015 01 19.44721 10 03 34.93 +01 48 57.8 24.9z 15FA559 T09 C~8uZG 2015 01 19.45634 10 03 34.89 +01 48 58.1 24.9z 15FA559 T09 C~8uZG 2015 01 20.44750 10 03 31.50 +01 49 13.2 25.8g 15FA559 T09 C~8uZG 2015 01 20.45704 10 03 31.46 +01 49 13.2 25.7g 15FA559 T09 C~8uZG 2015 01 21.56653 10 03 27.60 +01 49 30.7 24.7i 15FA559 T09 C~8uZG 2015 01 21.57962 10 03 27.54 +01 49 31.1 25.2i 15FA559 T09 C~8uZG 2015 01 21.59540 10 03 27.49 +01 49 31.2 25.1i 15FA559 T09 C~8uZG 2015 01 21.60626 10 03 27.45 +01 49 31.6 25.2i 15FA559 T09 C~8uZG 2015 01 21.61354 10 03 27.43 +01 49 31.4 25.0i 15FA559 T09 C~8uZG 2015 01 21.61742 10 03 27.43 +01 49 31.4 25.1i 15FA559 T09 C~8uZG 2015 01 21.63213 10 03 27.38 +01 49 31.7 25.3i 15FA559 T09 C~8uZG 2015 03 18.40452 09 59 52.38 +02 11 54.6 25.1r 15FA559 T09 C~8uZG 2015 03 18.42254 09 59 52.32 +02 11 55.3 25.1r 15FA559 T09 C~8uZG 2015 03 18.44066 09 59 52.25 +02 11 55.6 25.1r 15FA559 T09 C~8uZG 2015 03 18.44463 09 59 52.25 +02 11 55.6 24.9r 15FA559 T09 C~8uZG 2016 03 04.44826 10 04 42.90 +02 02 25.7 25.3i 15FA559 T09 C~90HX 2016 03 04.46258 10 04 42.85 +02 02 26.6 25.8i 15FA559 T09 C~90HX 2016 03 12.41665 10 04 12.64 +02 06 08.4 25.2z 15FA559 T09 C~90HX 2016 03 12.43157 10 04 12.57 +02 06 08.9 24.5z 15FA559 T09 C~90HX 2016 03 12.43532 10 04 12.56 +02 06 09.1 24.3z 15FA559 T09 C~90HX 2019 04 04.35344 10 15 13.95 +02 06 11.3 25.6g 15FA559 T09 C~90HX 2019 04 04.35762 10 15 13.93 +02 06 11.6 26.0g 15FA559 T09 C~90HX 2019 04 04.36625 10 15 13.90 +02 06 11.8 25.9g 15FA559 T09 C~90HX 2019 04 04.38329 10 15 13.85 +02 06 12.1 26.4g 15FA559 T09 C~90HX 2019 04 05.33730 10 15 11.15 +02 06 37.5 25.5r 15FA559 T09 C~90HX 2019 04 05.36102 10 15 11.08 +02 06 38.3 25.3r 15FA559 T09 C~90HX 2019 04 05.37167 10 15 11.06 +02 06 39.2 25.4r 15FA559 T09 C~90HX 2019 04 05.37809 10 15 11.04 +02 06 39.0 24.9r 15FA559 T09 C~90HX
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 -0.00 0.00 -0.09 2 0.0000 -0.84 -0.02 0.11 0.09 3 0.0001 -1.68 0.12 -0.21 -0.13 4 0.0002 -3.44 0.14 -0.23 0.01 5 0.0003 -5.33 -0.06 -0.30 0.09 6 0.0024 -44.29 -0.16 -3.64 -0.03 7 0.0024 -44.29 0.08 -3.64 -0.01 8 0.0024 -44.60 0.00 -3.66 -0.00 9 0.0024 -44.71 0.14 -3.80 -0.13 10 0.0024 -45.02 0.06 -3.81 -0.12 11 0.0079 -150.27 -0.05 -11.93 -0.01 12 0.0079 -150.93 -0.22 -11.86 0.09 13 0.0106 -203.82 -0.01 -15.64 0.11 14 0.0107 -204.38 -0.05 -15.85 -0.07 15 0.0137 -264.70 0.03 -19.87 -0.01 16 0.0137 -265.69 -0.22 -19.81 0.10 17 0.0138 -266.42 -0.08 -19.99 -0.01 18 0.0138 -267.13 -0.18 -19.82 0.20 19 0.0138 -267.34 0.02 -20.12 -0.07 20 0.0138 -267.34 0.23 -20.12 -0.05 21 0.0139 -268.14 0.24 -20.10 0.02 22 0.1666 -3758.02 -0.03 101.67 -0.03 23 0.1666 -3759.11 -0.05 102.01 0.17 24 0.1667 -3760.20 -0.07 101.92 -0.06 25 0.1667 -3760.20 0.17 101.92 -0.09 26 1.1304 518.49 0.02 1103.33 -0.27 27 1.1305 517.47 -0.07 1103.91 0.24 28 1.1522 15.49 0.15 1151.80 -0.01 29 1.1523 14.33 -0.08 1151.90 -0.01 30 1.1523 14.12 -0.05 1152.04 0.10 31 4.2130 9296.10 0.18 4660.57 0.04 32 4.2130 9295.72 0.00 4660.75 0.17 33 4.2130 9295.22 -0.05 4660.78 0.12 34 4.2131 9294.41 0.00 4660.79 -0.03 35 4.2157 9247.47 0.00 4670.20 -0.29 36 4.2157 9246.20 -0.08 4670.58 -0.15 37 4.2158 9245.60 ( -0.15) 4671.32 ( 0.48) 38 4.2158 9245.39 -0.04 4671.02 0.13
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.
15FA559 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 44.507 44.540 44.474 ecceobj 0.244 0.245 0.242 incobj 19.728 19.728 19.728 qmin 31.071 31.833 31.285 qmax 58.634 57.981 58.849 amean 44.500 44.562 44.666 amin 43.570 44.038 43.989 amax 45.183 45.234 45.485 emean 0.262 0.250 0.272 emin 0.195 0.188 0.236 emax 0.302 0.285 0.298 imean 18.707 19.238 18.330 imin 17.119 17.955 17.293 imax 21.213 21.444 19.902 excite_mean 0.415 0.414 0.416 fracstop 1.000 1.000 1.000 cjmean 2.897 2.898 2.899 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 195.6 160.1 182.1 kozaiamp 180.0 180.0 180.0