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: 15FO562
# Created Thu Jul 3 01:10:30 2025
# Orbit generated from Bernstein formalism
# Fitting 16 observations of 16
# Arc: 10.85d
# First observation: 2015/03/18
# Last observation: 2015/03/29
Preliminary a, adot, b, bdot, g, gdot:
0.000001 0.036757 0.000000 -0.000301 0.025701 0.000000
# WARNING Fitting with energy constraint
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# Chi-squared of fit: 7.77 DOF: 27 RMS: 0.12
# Min/Max residuals: -0.24 0.37
# Exact a, adot, b, bdot, g, gdot:
1.622905E-05 2.287518E-02 2.904187E-08 -3.070468E-04 2.349804E-02 2.500675E-03
# Covariance matrix:
3.7739E-11 5.6741E-08 -3.4414E-13 2.5759E-11 8.9616E-09 -9.8006E-08
5.6741E-08 8.5895E-05 -5.2095E-10 3.9058E-08 1.3559E-05 -1.5631E-04
-3.4414E-13 -5.2095E-10 1.9304E-13 -8.3858E-12 -8.2235E-11 9.5195E-10
2.5759E-11 3.9058E-08 -8.3858E-12 6.9497E-10 6.1632E-09 -7.5347E-08
8.9616E-09 1.3559E-05 -8.2235E-11 6.1632E-09 2.1407E-06 -2.4387E-05
-9.8006E-08 -1.5631E-04 9.5195E-10 -7.5347E-08 -2.4387E-05 7.7868E-04
# lat0 lon0 xBary yBary zBary JD0
1.459333 -179.138833 0.060204 0.025346 -0.990007 2457100.008498
# Heliocentric elements and errors
Epoch: 2457100.5000 = 2015/03/19
Mean Anomaly: 53.60502 +/- 305.203
Argument of Peri: 51.88351 +/- 84.466
Long of Asc Node: 62.67271 +/- 9.444
Inclination: 1.61668 +/- 0.145
Eccentricity: 0.12512679 +/- 1.0232
Semi-Major Axis: 46.47515767 +/- 23.7792
Time of Perihelion: 2439868.6188 +/- 97215.0
Perihelion: 40.65987016 +/- 51.9070
Aphelion: 52.29044518 +/- 54.5651
Period (y) 316.8396 +/- 243.17
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -43.53237634 +/- 2.6486
Ecliptic Y -0.59434755 +/- 0.0396
Ecliptic Z 1.08383065 +/- 0.0675
Ecliptic XDOT -0.00025551 +/- 0.0033
Ecliptic YDOT -0.00267514 +/- 0.0009
Ecliptic ZDOT -0.00002825 +/- 0.0001
# Distances at JD0 (AU)
Heliocenter to KBO 43.54992225 +/- 2.6476
Geocenter to KBO 42.55674622 +/- 2.6498
# Hcoef: 8.41
The following table shows the complete astrometric record for 15FO562. 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 (15FO562) followed by the observatory code and reference code for the source of the astrometry.
2015 03 18.50772 12 05 28.94 +00 59 47.0 24.8r 15FO562 T09 C~8vFY 2015 03 18.52074 12 05 28.90 +00 59 47.3 24.8r 15FO562 T09 C~8vFY 2015 03 18.55140 12 05 28.76 +00 59 48.3 24.7r 15FO562 T09 C~8vFY 2015 03 18.57737 12 05 28.65 +00 59 49.0 24.7r 15FO562 T09 C~8vFY 2015 03 20.44069 12 05 20.59 +01 00 41.1 24.3i 15FO562 T09 C~8vFY 2015 03 20.44426 12 05 20.60 +01 00 41.1 24.4i 15FO562 T09 C~8vFY 2015 03 20.47725 12 05 20.43 +01 00 42.4 24.5i 15FO562 T09 C~8vFY 2015 03 20.49965 12 05 20.34 +01 00 42.8 24.2i 15FO562 T09 C~8vFY 2015 03 20.55748 12 05 20.07 +01 00 44.6 24.1i 15FO562 T09 C~8vFY 2015 03 25.46918 12 04 58.82 +01 03 01.9 25.8g 15FO562 T09 C~8vFY 2015 03 25.52811 12 04 58.55 +01 03 03.6 25.5g 15FO562 T09 C~8vFY 2015 03 25.55400 12 04 58.43 +01 03 04.3 25.5g 15FO562 T09 C~8vFY 2015 03 29.28273 12 04 42.38 +01 04 47.3 23.9y 15FO562 T09 C~8vFY 2015 03 29.29637 12 04 42.31 +01 04 47.9 24.7y 15FO562 T09 C~8vFY 2015 03 29.32352 12 04 42.21 +01 04 48.3 24.2y 15FO562 T09 C~8vFY 2015 03 29.35897 12 04 42.06 +01 04 49.5 24.0y 15FO562 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 -0.17 0.00 -0.05
2 0.0000 -0.67 0.09 0.04 -0.01
3 0.0001 -2.99 -0.04 0.12 0.09
4 0.0002 -4.79 0.02 0.10 0.09
5 0.0053 -136.42 -0.02 -0.18 -0.16
6 0.0053 -136.28 0.37 -0.12 -0.10
7 0.0054 -139.14 -0.11 0.06 0.10
8 0.0055 -140.53 0.10 -0.11 -0.06
9 0.0056 -144.96 -0.19 -0.07 0.01
10 0.0191 -491.98 0.10 -0.87 0.07
11 0.0192 -496.37 -0.07 -0.92 0.06
12 0.0193 -498.30 -0.15 -0.99 0.01
13 0.0295 -760.12 -0.00 -2.23 -0.08
14 0.0295 -761.32 -0.24 -2.10 0.07
15 0.0296 -762.86 0.15 -2.33 -0.14
16 0.0297 -765.40 0.13 -2.12 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.