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: 15FJ562 # Created Thu Jul 3 01:10:30 2025 # Orbit generated from Bernstein formalism # Fitting 11 observations of 11 # Arc: 63.87d # First observation: 2015/03/18 # Last observation: 2015/05/21 Preliminary a, adot, b, bdot, g, gdot: 0.000000 0.031098 0.000000 0.001203 0.025468 0.000000 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING Fitting with energy constraint # Chi-squared of fit: 3.79 DOF: 17 RMS: 0.10 # Min/Max residuals: -0.19 0.27 # Exact a, adot, b, bdot, g, gdot: 1.571276E-05 2.370055E-02 1.136599E-06 1.272583E-03 2.429634E-02 6.193935E-03 # Covariance matrix: 2.6227E-12 3.1272E-09 5.1824E-14 -2.7824E-11 5.1685E-10 -2.8695E-08 3.1272E-09 4.3185E-06 7.3083E-11 -3.9355E-08 7.0027E-07 -4.3406E-05 5.1824E-14 7.3083E-11 2.1554E-13 -1.9244E-12 1.1776E-11 -7.5627E-10 -2.7824E-11 -3.9355E-08 -1.9244E-12 3.8174E-10 -6.3356E-09 4.0886E-07 5.1685E-10 7.0027E-07 1.1776E-11 -6.3356E-09 1.1420E-07 -6.8536E-06 -2.8695E-08 -4.3406E-05 -7.5627E-10 4.0886E-07 -6.8536E-06 4.8953E-04 # lat0 lon0 xBary yBary zBary JD0 -0.656870 177.599734 0.004196 -0.011247 -0.992082 2457099.983828 # Heliocentric elements and errors Epoch: 2457090.5000 = 2015/03/09 Mean Anomaly: 55.16460 +/- 43.259 Argument of Peri: 263.20710 +/- 44.856 Long of Asc Node: 189.39982 +/- 1.120 Inclination: 3.13149 +/- 0.293 Eccentricity: 0.26868584 +/- 0.9252 Semi-Major Axis: 46.50385996 +/- 19.6972 Time of Perihelion: 2439340.8469 +/- 8158.4 Perihelion: 34.00893148 +/- 45.3729 Aphelion: 58.99878845 +/- 49.7562 Period (y) 317.1332 +/- 201.49 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -42.11390744 +/- 0.5719 Ecliptic Y 1.76914811 +/- 0.0240 Ecliptic Z -0.47178929 +/- 0.0066 Ecliptic XDOT -0.00081422 +/- 0.0025 Ecliptic YDOT -0.00264484 +/- 0.0003 Ecliptic ZDOT 0.00013548 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.15369106 +/- 0.5714 Geocenter to KBO 41.15846891 +/- 0.5725 # Hcoef: 9.19
The following table shows the complete astrometric record for 15FJ562. 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 (15FJ562) followed by the observatory code and reference code for the source of the astrometry.
2015 03 18.48305 11 50 08.76 +00 21 06.4 25.7r 15FJ562 T09 C~8vFY 2015 03 18.51429 11 50 08.62 +00 21 07.3 25.3r 15FJ562 T09 C~8vFY 2015 03 18.54052 11 50 08.51 +00 21 08.1 25.5r 15FJ562 T09 C~8vFY 2015 03 18.54487 11 50 08.48 +00 21 08.1 25.2r 15FJ562 T09 C~8vFY 2015 03 20.51347 11 49 59.71 +00 22 06.9 24.7i 15FJ562 T09 C~8vFY 2015 03 20.54374 11 49 59.56 +00 22 07.8 25.0i 15FJ562 T09 C~8vFY 2015 03 20.54920 11 49 59.56 +00 22 08.1 25.5i 15FJ562 T09 C~8vFY 2015 05 21.31069 11 46 30.46 +00 46 05.8 25.4i 15FJ562 T09 C~8vFY 2015 05 21.31607 11 46 30.46 +00 46 05.8 25.1i 15FJ562 T09 C~8vFY 2015 05 21.31877 11 46 30.46 +00 46 05.8 25.0i 15FJ562 T09 C~8vFY 2015 05 21.35689 11 46 30.40 +00 46 06.1 25.0i 15FJ562 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 -0.06 0.00 -0.06
2 0.0001 -2.28 -0.02 -0.01 -0.08
3 0.0002 -4.12 0.09 0.07 -0.01
4 0.0002 -4.53 0.00 -0.11 -0.19
5 0.0056 -148.61 0.02 1.57 0.08
6 0.0056 -151.03 -0.16 1.50 -0.00
7 0.0057 -151.15 0.13 1.77 0.27
8 0.1748 -3600.91 -0.16 74.81 0.03
9 0.1748 -3600.91 -0.02 74.81 0.03
10 0.1748 -3600.91 0.06 74.81 0.03
11 0.1749 -3601.85 0.12 74.73 -0.10
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.