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: 15FX562 # Created Thu Jul 3 01:10:30 2025 # Orbit generated from Bernstein formalism # Fitting 11 observations of 11 # Arc: 7.08d # First observation: 2015/03/18 # Last observation: 2015/03/25 # WARNING Fitting with energy constraint # WARNING and with gdot fixed = 0 # Chi-squared of fit: 6.55 DOF: 18 RMS: 0.14 # Min/Max residuals: -0.24 0.24 # Exact a, adot, b, bdot, g, gdot: 1.592286E-05 2.371067E-02 9.591820E-07 -6.932059E-06 2.424677E-02 0.000000E+00 # Covariance matrix: 3.0870E-11 4.6848E-08 -1.0873E-14 7.3954E-13 7.4352E-09 0.0000E+00 4.6848E-08 7.1731E-05 -1.6642E-11 1.1319E-09 1.1380E-05 0.0000E+00 -1.0873E-14 -1.6642E-11 2.5246E-13 -1.5074E-11 -2.6403E-12 0.0000E+00 7.3954E-13 1.1319E-09 -1.5074E-11 1.9108E-09 1.7959E-10 0.0000E+00 7.4352E-09 1.1380E-05 -2.6403E-12 1.7959E-10 1.8055E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 1.8758E-04 # lat0 lon0 xBary yBary zBary JD0 0.430922 -179.494394 0.054643 0.007579 -0.990618 2457099.974968 # Heliocentric elements and errors Epoch: 2457090.5000 = 2015/03/09 Mean Anomaly: 359.97508 +/- 87.157 Argument of Peri: 92.00888 +/- 154.521 Long of Asc Node: 88.41466 +/- 14.376 Inclination: 0.42112 +/- 0.004 Eccentricity: 0.02750635 +/- 0.5632 Semi-Major Axis: 43.43101849 +/- 22.8037 Time of Perihelion: 2457097.7364 +/- 338941.8 Perihelion: 42.23638987 +/- 33.0180 Aphelion: 44.62564711 +/- 33.8733 Period (y) 286.2254 +/- 225.43 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -42.23405139 +/- 2.2854 Ecliptic Y -0.31825320 +/- 0.0200 Ecliptic Z 0.31023901 +/- 0.0172 Ecliptic XDOT 0.00002020 +/- 0.0015 Ecliptic YDOT -0.00268298 +/- 0.0008 Ecliptic ZDOT -0.00000069 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.23638988 +/- 2.2853 Geocenter to KBO 41.24261448 +/- 2.2856 # Hcoef: 9.33
The following table shows the complete astrometric record for 15FX562. 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 (15FX562) followed by the observatory code and reference code for the source of the astrometry.
2015 03 18.47419 12 02 32.47 +00 11 39.3 25.4r 15FX562 T09 C~8vFZ 2015 03 18.50997 12 02 32.33 +00 11 40.3 25.2r 15FX562 T09 C~8vFZ 2015 03 18.53616 12 02 32.19 +00 11 41.5 25.6r 15FX562 T09 C~8vFZ 2015 03 18.57737 12 02 32.03 +00 11 42.4 25.5r 15FX562 T09 C~8vFZ 2015 03 20.42312 12 02 23.79 +00 12 36.1 24.9i 15FX562 T09 C~8vFZ 2015 03 20.46343 12 02 23.61 +00 12 37.1 25.0i 15FX562 T09 C~8vFZ 2015 03 20.53830 12 02 23.27 +00 12 39.5 25.1i 15FX562 T09 C~8vFZ 2015 03 25.45464 12 02 01.35 +00 15 01.9 26.4g 15FX562 T09 C~8vFZ 2015 03 25.48707 12 02 01.21 +00 15 02.6 26.0g 15FX562 T09 C~8vFZ 2015 03 25.51323 12 02 01.08 +00 15 03.6 26.0g 15FX562 T09 C~8vFZ 2015 03 25.55400 12 02 00.89 +00 15 04.9 26.0g 15FX562 T09 C~8vFZ
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 -0.09 0.00 -0.20 2 0.0001 -2.32 0.23 0.08 -0.10 3 0.0002 -4.73 -0.24 0.35 0.18 4 0.0003 -7.29 0.24 0.22 0.06 5 0.0053 -142.05 -0.10 0.32 0.05 6 0.0054 -144.92 0.01 0.17 -0.08 7 0.0057 -150.56 -0.08 0.34 0.12 8 0.0191 -508.87 0.03 0.21 0.03 9 0.0192 -511.07 0.22 0.02 -0.15 10 0.0193 -513.26 -0.04 0.16 0.01 11 0.0194 -516.39 -0.17 0.22 0.08
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.