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: 15FB563 # Created Thu Jul 3 01:10:30 2025 # Orbit generated from Bernstein formalism # Fitting 12 observations of 12 # Arc: 7.07d # 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: 4.88 DOF: 20 RMS: 0.11 # Min/Max residuals: -0.20 0.21 # Exact a, adot, b, bdot, g, gdot: 1.488749E-05 2.422262E-02 -8.054774E-08 1.948865E-04 2.457400E-02 0.000000E+00 # Covariance matrix: 3.1508E-11 4.8336E-08 3.4062E-14 1.8868E-12 7.6719E-09 0.0000E+00 4.8336E-08 7.4751E-05 5.2659E-11 2.9169E-09 1.1861E-05 0.0000E+00 3.4062E-14 5.2659E-11 2.3299E-13 -1.4474E-11 8.3557E-12 0.0000E+00 1.8868E-12 2.9169E-09 -1.4474E-11 1.8960E-09 4.6284E-10 0.0000E+00 7.6719E-09 1.1861E-05 8.3557E-12 4.6284E-10 1.8820E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 1.9528E-04 # lat0 lon0 xBary yBary zBary JD0 -0.106805 179.417048 0.035761 -0.001720 -0.991508 2457099.977938 # Heliocentric elements and errors Epoch: 2457090.5000 = 2015/03/09 Mean Anomaly: 0.67497 +/- 327.252 Argument of Peri: 346.52973 +/- 33.706 Long of Asc Node: 192.08500 +/- 5.131 Inclination: 0.47352 +/- 0.189 Eccentricity: 0.03051767 +/- 0.5631 Semi-Major Axis: 43.00022813 +/- 22.6307 Time of Perihelion: 2456897.3994 +/- 299607.9 Perihelion: 41.68796151 +/- 32.6743 Aphelion: 44.31249475 +/- 33.6173 Period (y) 281.9774 +/- 222.60 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -41.68546447 +/- 2.2716 Ecliptic Y 0.45970010 +/- 0.0233 Ecliptic Z -0.07584351 +/- 0.0042 Ecliptic XDOT -0.00003092 +/- 0.0016 Ecliptic YDOT -0.00270433 +/- 0.0008 Ecliptic ZDOT 0.00002180 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.68806813 +/- 2.2715 Geocenter to KBO 40.69341697 +/- 2.2717 # Hcoef: 9.07
The following table shows the complete astrometric record for 15FB563. 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 (15FB563) followed by the observatory code and reference code for the source of the astrometry.
2015 03 18.47716 11 57 41.44 +00 08 02.0 25.1r 15FB563 T09 C~8vFZ 2015 03 18.51214 11 57 41.26 +00 08 03.0 25.3r 15FB563 T09 C~8vFZ 2015 03 18.53831 11 57 41.15 +00 08 03.6 24.7r 15FB563 T09 C~8vFZ 2015 03 18.57522 11 57 40.97 +00 08 05.0 25.1r 15FB563 T09 C~8vFZ 2015 03 20.42312 11 57 32.66 +00 08 59.4 24.8i 15FB563 T09 C~8vFZ 2015 03 20.46619 11 57 32.46 +00 09 00.8 24.8i 15FB563 T09 C~8vFZ 2015 03 20.50240 11 57 32.28 +00 09 01.8 24.8i 15FB563 T09 C~8vFZ 2015 03 20.54104 11 57 32.10 +00 09 02.8 24.5i 15FB563 T09 C~8vFZ 2015 03 25.45464 11 57 09.96 +00 11 27.4 26.2g 15FB563 T09 C~8vFZ 2015 03 25.45755 11 57 09.93 +00 11 27.6 25.7g 15FB563 T09 C~8vFZ 2015 03 25.51534 11 57 09.68 +00 11 29.2 25.6g 15FB563 T09 C~8vFZ 2015 03 25.55185 11 57 09.52 +00 11 30.4 25.9g 15FB563 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 0.14 0.00 0.04
2 0.0001 -2.87 -0.11 -0.16 -0.10
3 0.0002 -4.63 0.10 -0.26 -0.20
4 0.0003 -7.66 -0.18 -0.05 0.02
5 0.0053 -143.66 0.15 0.28 0.11
6 0.0054 -146.97 0.07 0.37 0.21
7 0.0055 -149.85 -0.09 0.21 0.07
8 0.0057 -152.72 -0.07 0.06 -0.07
9 0.0191 -514.94 0.08 0.63 -0.06
10 0.0191 -515.43 -0.20 0.64 -0.06
11 0.0193 -519.51 0.03 0.61 -0.06
12 0.0194 -522.19 0.07 0.76 0.09
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.