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: 15FN562 # Created Thu Jul 3 01:10:30 2025 # Orbit generated from Bernstein formalism # Fitting 15 observations of 15 # Arc: 10.86d # First observation: 2015/03/18 # Last observation: 2015/03/29 # WARNING Fitting with energy constraint # WARNING and with gdot fixed = 0 # Chi-squared of fit: 13.93 DOF: 26 RMS: 0.17 # Min/Max residuals: -0.55 0.31 # Exact a, adot, b, bdot, g, gdot: 1.496620E-05 1.982452E-02 -4.323750E-07 -8.817506E-04 2.153650E-02 0.000000E+00 # Covariance matrix: 2.5453E-11 3.4242E-08 5.1738E-14 -3.2165E-13 5.4423E-09 0.0000E+00 3.4242E-08 4.6503E-05 7.0246E-11 -4.3670E-10 7.3892E-06 0.0000E+00 5.1738E-14 7.0246E-11 2.2630E-13 -9.0812E-12 1.1162E-11 0.0000E+00 -3.2165E-13 -4.3670E-10 -9.0812E-12 6.4287E-10 -6.9390E-11 0.0000E+00 5.4423E-09 7.3892E-06 1.1162E-11 -6.9390E-11 1.1741E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 1.3145E-04 # lat0 lon0 xBary yBary zBary JD0 -0.158158 -177.779099 0.084374 -0.002600 -0.988554 2457099.969108 # Heliocentric elements and errors Epoch: 2457090.5000 = 2015/03/09 Mean Anomaly: 359.20158 +/- 235.023 Argument of Peri: 184.30109 +/- 301.465 Long of Asc Node: 358.63132 +/- 1.200 Inclination: 2.54379 +/- 0.872 Eccentricity: 0.02449454 +/- 0.5485 Semi-Major Axis: 48.61523735 +/- 24.9423 Time of Perihelion: 2457365.0919 +/- 452259.8 Perihelion: 47.42442925 +/- 36.0990 Aphelion: 49.80604546 +/- 36.9337 Period (y) 338.9743 +/- 260.87 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -47.39193582 +/- 2.3344 Ecliptic Y -1.75363110 +/- 0.0903 Ecliptic Z -0.12817638 +/- 0.0065 Ecliptic XDOT 0.00009456 +/- 0.0015 Ecliptic YDOT -0.00252408 +/- 0.0007 Ecliptic ZDOT -0.00011200 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 47.42454251 +/- 2.3328 Geocenter to KBO 46.43280865 +/- 2.3362 # Hcoef: 8.14
The following table shows the complete astrometric record for 15FN562. 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 (15FN562) followed by the observatory code and reference code for the source of the astrometry.
2015 03 18.46833 12 07 53.98 -01 01 42.1 24.8r 15FN562 T09 C~8vFY 2015 03 18.50341 12 07 53.85 -01 01 41.2 25.3r 15FN562 T09 C~8vFY 2015 03 18.53187 12 07 53.72 -01 01 40.4 24.8r 15FN562 T09 C~8vFY 2015 03 18.56444 12 07 53.61 -01 01 39.7 25.0r 15FN562 T09 C~8vFY 2015 03 20.41249 12 07 46.19 -01 00 52.7 24.7i 15FN562 T09 C~8vFY 2015 03 20.45524 12 07 46.01 -01 00 51.6 24.5i 15FN562 T09 C~8vFY 2015 03 20.49422 12 07 45.87 -01 00 50.3 24.7i 15FN562 T09 C~8vFY 2015 03 25.48063 12 07 25.82 -00 58 42.9 25.9g 15FN562 T09 C~8vFY 2015 03 25.50893 12 07 25.71 -00 58 42.1 25.8g 15FN562 T09 C~8vFY 2015 03 25.54115 12 07 25.59 -00 58 41.6 26.1g 15FN562 T09 C~8vFY 2015 03 29.26907 12 07 10.66 -00 57 07.0 23.7y 15FN562 T09 C~8vFY 2015 03 29.27183 12 07 10.66 -00 57 06.6 24.1y 15FN562 T09 C~8vFY 2015 03 29.29096 12 07 10.59 -00 57 05.8 24.1y 15FN562 T09 C~8vFY 2015 03 29.30995 12 07 10.51 -00 57 05.3 24.1y 15FN562 T09 C~8vFY 2015 03 29.33172 12 07 10.41 -00 57 04.5 23.7y 15FN562 T09 C~8vFY
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 -0.08 0.00 -0.04
2 0.0001 -2.15 0.09 0.05 0.04
3 0.0002 -4.25 -0.13 0.01 0.03
4 0.0003 -6.05 0.23 -0.00 0.04
5 0.0053 -126.84 -0.03 -1.12 -0.17
6 0.0054 -129.76 -0.10 -1.18 -0.19
7 0.0055 -132.20 0.04 -0.82 0.20
8 0.0192 -458.77 -0.15 -3.47 0.08
9 0.0193 -460.60 -0.10 -3.40 0.19
10 0.0194 -462.45 0.18 -3.65 -0.04
11 0.0296 -705.52 0.08 -5.88 -0.55
12 0.0296 -705.68 0.10 -5.51 -0.18
13 0.0296 -706.96 0.08 -5.19 0.15
14 0.0297 -708.26 0.03 -5.21 0.15
15 0.0297 -709.96 -0.23 -5.07 0.31
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.