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: 15FA562 # Created Thu Jul 3 01:10:29 2025 # Orbit generated from Bernstein formalism # Fitting 12 observations of 12 # Arc: 63.88d # First observation: 2015/03/18 # Last observation: 2015/05/21 Preliminary a, adot, b, bdot, g, gdot: 0.000001 0.040469 0.000001 -0.000918 0.030660 0.000000 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING Fitting with energy constraint # Chi-squared of fit: 4.14 DOF: 19 RMS: 0.10 # Min/Max residuals: -0.21 0.16 # Exact a, adot, b, bdot, g, gdot: 1.748447E-05 3.116545E-02 5.455776E-07 -8.688144E-04 2.918643E-02 -2.488295E-03 # Covariance matrix: 9.3588E-12 1.6176E-08 2.3114E-13 -8.6060E-11 2.5630E-09 -1.5627E-07 1.6176E-08 2.9517E-05 4.1973E-10 -1.5625E-07 4.6501E-06 -2.9154E-04 2.3114E-13 4.1973E-10 2.2232E-13 -3.4911E-12 6.6182E-11 -4.1318E-09 -8.6060E-11 -1.5625E-07 -3.4911E-12 8.4514E-10 -2.4638E-08 1.5379E-06 2.5630E-09 4.6501E-06 6.6182E-11 -2.4638E-08 7.3333E-07 -4.5747E-05 -1.5627E-07 -2.9154E-04 -4.1318E-09 1.5379E-06 -4.5747E-05 2.9243E-03 # lat0 lon0 xBary yBary zBary JD0 -0.616549 177.393874 0.000632 -0.010549 -0.992099 2457099.983828 # Heliocentric elements and errors Epoch: 2457090.5000 = 2015/03/09 Mean Anomaly: 295.13758 +/- 57.284 Argument of Peri: 274.51759 +/- 168.038 Long of Asc Node: 336.75128 +/- 3.006 Inclination: 1.69896 +/- 0.238 Eccentricity: 0.08371710 +/- 1.7818 Semi-Major Axis: 36.33254467 +/- 19.3259 Time of Perihelion: 2471502.7831 +/- 5456.8 Perihelion: 33.29088943 +/- 67.1160 Aphelion: 39.37419990 +/- 68.0414 Period (y) 219.0039 +/- 174.74 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -35.21933331 +/- 1.0042 Ecliptic Y 1.60339922 +/- 0.0458 Ecliptic Z -0.36864979 +/- 0.0108 Ecliptic XDOT 0.00009769 +/- 0.0050 Ecliptic YDOT -0.00293689 +/- 0.0007 Ecliptic ZDOT -0.00007889 +/- 0.0001 # Distances at JD0 (AU) Heliocenter to KBO 35.25774000 +/- 1.0031 Geocenter to KBO 34.26250041 +/- 1.0053 # Hcoef: 9.66
The following table shows the complete astrometric record for 15FA562. 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 (15FA562) followed by the observatory code and reference code for the source of the astrometry.
2015 03 18.48305 11 49 27.27 +00 28 14.1 25.5r 15FA562 T09 C~8vFX 2015 03 18.48595 11 49 27.27 +00 28 14.5 24.8r 15FA562 T09 C~8vFX 2015 03 18.51429 11 49 27.12 +00 28 15.1 25.1r 15FA562 T09 C~8vFX 2015 03 20.43008 11 49 16.97 +00 29 20.3 24.6i 15FA562 T09 C~8vFX 2015 03 20.50792 11 49 16.54 +00 29 23.0 24.8i 15FA562 T09 C~8vFX 2015 03 20.51347 11 49 16.52 +00 29 23.0 24.5i 15FA562 T09 C~8vFX 2015 03 20.54920 11 49 16.33 +00 29 24.3 24.7i 15FA562 T09 C~8vFX 2015 05 21.31069 11 45 09.56 +00 56 10.5 25.0i 15FA562 T09 C~8vFX 2015 05 21.32415 11 45 09.54 +00 56 10.6 24.8i 15FA562 T09 C~8vFX 2015 05 21.33710 11 45 09.52 +00 56 10.6 25.0i 15FA562 T09 C~8vFX 2015 05 21.35689 11 45 09.47 +00 56 11.0 25.0i 15FA562 T09 C~8vFX 2015 05 21.36765 11 45 09.47 +00 56 11.1 25.0i 15FA562 T09 C~8vFX
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 -0.12 0.00 -0.21
2 0.0000 -0.16 -0.03 0.37 0.16
3 0.0001 -2.46 0.16 0.02 -0.15
4 0.0053 -168.08 0.02 -0.64 0.09
5 0.0055 -175.07 -0.15 -0.73 0.08
6 0.0056 -175.35 0.07 -0.85 -0.03
7 0.0057 -178.48 0.06 -0.79 0.07
8 0.1748 -4213.81 -0.09 2.78 0.04
9 0.1748 -4214.12 -0.00 2.75 0.02
10 0.1748 -4214.40 0.11 2.63 -0.10
11 0.1749 -4215.24 -0.15 2.70 -0.03
12 0.1749 -4215.28 0.13 2.79 0.06
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.