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: 15FD563
# 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: 4.44 DOF: 20 RMS: 0.11
# Min/Max residuals: -0.27 0.19
# Exact a, adot, b, bdot, g, gdot:
1.610862E-05 2.389745E-02 4.336123E-07 6.448852E-04 2.436341E-02 0.000000E+00
# Covariance matrix:
3.1092E-11 4.7387E-08 1.8373E-15 4.5295E-12 7.5205E-09 0.0000E+00
4.7387E-08 7.2810E-05 2.8224E-12 6.9572E-09 1.1551E-05 0.0000E+00
1.8373E-15 2.8224E-12 2.3163E-13 -1.4329E-11 4.4778E-13 0.0000E+00
4.5295E-12 6.9572E-09 -1.4329E-11 1.8807E-09 1.1038E-09 0.0000E+00
7.5205E-09 1.1551E-05 4.4778E-13 1.1038E-09 1.8327E-06 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 1.9030E-04
# lat0 lon0 xBary yBary zBary JD0
0.143943 179.833822 0.042972 0.002618 -0.991219 2457099.977938
# Heliocentric elements and errors
Epoch: 2457090.5000 = 2015/03/09
Mean Anomaly: 0.42594 +/- 355.982
Argument of Peri: 4.71512 +/- 62.461
Long of Asc Node: 174.57533 +/- 1.865
Inclination: 1.55070 +/- 0.555
Eccentricity: 0.02973595 +/- 0.5632
Semi-Major Axis: 43.32788079 +/- 22.7996
Time of Perihelion: 2456967.2478 +/- 311352.4
Perihelion: 42.03948520 +/- 32.9372
Aphelion: 44.61627637 +/- 33.8628
Period (y) 285.2065 +/- 225.12
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -42.03908002 +/- 2.2807
Ecliptic Y 0.16466555 +/- 0.0068
Ecliptic Z 0.10315068 +/- 0.0057
Ecliptic XDOT -0.00001102 +/- 0.0016
Ecliptic YDOT -0.00269125 +/- 0.0008
Ecliptic ZDOT 0.00007256 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 42.03952906 +/- 2.2806
Geocenter to KBO 41.04516202 +/- 2.2807
# Hcoef: 9.38
The following table shows the complete astrometric record for 15FD563. 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 (15FD563) followed by the observatory code and reference code for the source of the astrometry.
2015 03 18.47716 11 59 37.15 +00 11 53.4 25.4r 15FD563 T09 C~8vFZ 2015 03 18.50997 11 59 37.01 +00 11 54.4 25.5r 15FD563 T09 C~8vFZ 2015 03 18.53831 11 59 36.88 +00 11 55.1 25.5r 15FD563 T09 C~8vFZ 2015 03 18.54922 11 59 36.82 +00 11 55.4 25.6r 15FD563 T09 C~8vFZ 2015 03 20.42312 11 59 28.46 +00 12 50.7 25.5i 15FD563 T09 C~8vFZ 2015 03 20.46343 11 59 28.29 +00 12 51.9 24.9i 15FD563 T09 C~8vFZ 2015 03 20.46619 11 59 28.27 +00 12 51.9 24.7i 15FD563 T09 C~8vFZ 2015 03 20.50240 11 59 28.10 +00 12 53.2 24.8i 15FD563 T09 C~8vFZ 2015 03 25.45464 11 59 05.98 +00 15 19.0 25.8g 15FD563 T09 C~8vFZ 2015 03 25.51534 11 59 05.70 +00 15 20.7 26.5g 15FD563 T09 C~8vFZ 2015 03 25.52597 11 59 05.65 +00 15 20.9 25.6g 15FD563 T09 C~8vFZ 2015 03 25.55185 11 59 05.51 +00 15 21.7 26.8g 15FD563 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 -0.12 0.00 -0.00
2 0.0001 -2.32 -0.01 0.08 0.08
3 0.0002 -4.39 0.03 -0.05 -0.05
4 0.0002 -5.34 -0.11 -0.13 -0.13
5 0.0053 -142.39 0.01 0.72 -0.02
6 0.0054 -145.20 0.19 0.81 0.07
7 0.0054 -145.48 0.13 0.69 -0.05
8 0.0055 -148.33 -0.04 0.87 0.13
9 0.0191 -510.75 0.08 2.66 0.15
10 0.0193 -515.28 0.05 2.55 0.05
11 0.0193 -516.05 0.06 2.43 -0.07
12 0.0194 -518.29 -0.27 2.33 -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.