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: 15FR562
# Created Thu Jul 3 01:10:30 2025
# Orbit generated from Bernstein formalism
# Fitting 15 observations of 15
# 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: 6.78 DOF: 26 RMS: 0.12
# Min/Max residuals: -0.27 0.23
# Exact a, adot, b, bdot, g, gdot:
1.418784E-05 1.983810E-02 1.851040E-06 2.859866E-03 2.167058E-02 0.000000E+00
# Covariance matrix:
2.6719E-11 3.6404E-08 -2.6869E-14 -1.0537E-11 5.7792E-09 0.0000E+00
3.6404E-08 4.9950E-05 -3.6855E-11 -1.4454E-08 7.9273E-06 0.0000E+00
-2.6869E-14 -3.6855E-11 1.7208E-13 -1.0266E-11 -5.8493E-12 0.0000E+00
-1.0537E-11 -1.4454E-08 -1.0266E-11 1.4289E-09 -2.2940E-09 0.0000E+00
5.7792E-09 7.9273E-06 -5.8493E-12 -2.2940E-09 1.2581E-06 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 1.3392E-04
# lat0 lon0 xBary yBary zBary JD0
0.706877 -178.279140 0.075692 0.012333 -0.989184 2457099.972028
# Heliocentric elements and errors
Epoch: 2457090.5000 = 2015/03/09
Mean Anomaly: 359.52413 +/- 156.518
Argument of Peri: 5.32100 +/- 222.943
Long of Asc Node: 176.82975 +/- 1.702
Inclination: 8.21613 +/- 2.869
Eccentricity: 0.02599150 +/- 0.5566
Semi-Major Axis: 48.39571111 +/- 25.2046
Time of Perihelion: 2457253.0515 +/- 422383.3
Perihelion: 47.13783400 +/- 36.4460
Aphelion: 49.65358823 +/- 37.3411
Period (y) 336.6809 +/- 263.02
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -47.11538617 +/- 2.3872
Ecliptic Y -1.33992096 +/- 0.0715
Ecliptic Z 0.56939912 +/- 0.0295
Ecliptic XDOT 0.00007630 +/- 0.0015
Ecliptic YDOT -0.00251084 +/- 0.0008
Ecliptic ZDOT 0.00036138 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 47.13787455 +/- 2.3861
Geocenter to KBO 46.14551694 +/- 2.3885
# Hcoef: 8.87
The following table shows the complete astrometric record for 15FR562. 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 (15FR562) followed by the observatory code and reference code for the source of the astrometry.
2015 03 18.47125 12 07 26.40 -00 02 09.0 25.3r 15FR562 T09 C~8vFY 2015 03 18.47419 12 07 26.38 -00 02 08.9 25.3r 15FR562 T09 C~8vFY 2015 03 18.50772 12 07 26.24 -00 02 07.9 25.1r 15FR562 T09 C~8vFZ 2015 03 18.53399 12 07 26.16 -00 02 07.2 25.3r 15FR562 T09 C~8vFZ 2015 03 18.56444 12 07 26.02 -00 02 06.5 25.3r 15FR562 T09 C~8vFZ 2015 03 18.57964 12 07 25.94 -00 02 06.2 25.5r 15FR562 T09 C~8vFZ 2015 03 20.41605 12 07 18.65 -00 01 15.1 24.9i 15FR562 T09 C~8vFZ 2015 03 20.46072 12 07 18.47 -00 01 13.8 24.8i 15FR562 T09 C~8vFZ 2015 03 20.49422 12 07 18.34 -00 01 13.1 24.7i 15FR562 T09 C~8vFZ 2015 03 20.53554 12 07 18.18 -00 01 11.8 24.9i 15FR562 T09 C~8vFZ 2015 03 25.45174 12 06 58.55 +00 01 04.4 26.7g 15FR562 T09 C~8vFZ 2015 03 25.48492 12 06 58.43 +00 01 05.4 26.4g 15FR562 T09 C~8vFZ 2015 03 25.51107 12 06 58.32 +00 01 06.0 26.6g 15FR562 T09 C~8vFZ 2015 03 25.54115 12 06 58.21 +00 01 06.9 26.5g 15FR562 T09 C~8vFZ 2015 03 25.55615 12 06 58.12 +00 01 07.2 26.1g 15FR562 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 0.06 0.00 0.05
2 0.0000 -0.32 -0.06 -0.03 0.02
3 0.0001 -2.64 -0.15 0.06 0.06
4 0.0002 -4.02 0.23 0.22 0.19
5 0.0003 -6.22 0.05 0.03 -0.04
6 0.0003 -7.44 -0.16 -0.17 -0.27
7 0.0053 -128.10 -0.08 3.24 -0.01
8 0.0054 -131.09 -0.09 3.36 0.06
9 0.0055 -133.16 0.09 3.22 -0.12
10 0.0057 -135.88 0.13 3.46 0.07
11 0.0191 -460.21 -0.12 11.36 -0.05
12 0.0192 -462.26 0.05 11.56 0.12
13 0.0193 -464.01 0.05 11.46 -0.02
14 0.0194 -465.88 0.18 11.63 0.12
15 0.0194 -467.24 -0.18 11.36 -0.17
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.