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: 15FY561 # Created Thu Jul 3 01:10:29 2025 # Orbit generated from Bernstein formalism # Fitting 14 observations of 14 # Arc: 10.91d # First observation: 2015/03/18 # Last observation: 2015/03/29 Preliminary a, adot, b, bdot, g, gdot: 0.000001 0.043683 0.000000 -0.012727 0.031498 0.000000 # WARNING Fitting with energy constraint # Chi-squared of fit: 8.31 DOF: 23 RMS: 0.14 # Min/Max residuals: -0.21 0.42 # Exact a, adot, b, bdot, g, gdot: 1.576993E-05 2.791992E-02 -6.841156E-06 -1.272275E-02 2.900083E-02 6.014685E-03 # Covariance matrix: 2.0083E-10 3.7270E-07 8.4419E-13 1.1110E-11 5.8803E-08 -7.3391E-07 3.7270E-07 6.9292E-04 1.5559E-09 2.5074E-08 1.0931E-04 -1.3762E-03 8.4419E-13 1.5559E-09 2.5476E-13 -1.1530E-11 2.4578E-10 -2.6548E-09 1.1110E-11 2.5074E-08 -1.1530E-11 9.4925E-10 3.8522E-09 -1.9171E-07 5.8803E-08 1.0931E-04 2.4578E-10 3.8522E-09 1.7246E-05 -2.1683E-04 -7.3391E-07 -1.3762E-03 -2.6548E-09 -1.9171E-07 -2.1683E-04 3.1106E-03 # lat0 lon0 xBary yBary zBary JD0 -0.666775 178.446096 0.018903 -0.011416 -0.991909 2457099.980898 # Heliocentric elements and errors Epoch: 2457090.5000 = 2015/03/09 Mean Anomaly: 64.73989 +/- 130.135 Argument of Peri: 94.40004 +/- 354.657 Long of Asc Node: 356.99000 +/- 1.339 Inclination: 24.45713 +/- 20.313 Eccentricity: 0.19832814 +/- 1.7121 Semi-Major Axis: 37.29148910 +/- 15.9060 Time of Perihelion: 2442132.1926 +/- 28504.3 Perihelion: 29.89553761 +/- 65.1091 Aphelion: 44.68744059 +/- 66.6326 Period (y) 227.7313 +/- 145.70 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -35.46099406 +/- 4.9355 Ecliptic Y 0.98067969 +/- 0.1343 Ecliptic Z -0.40148887 +/- 0.0575 Ecliptic XDOT -0.00062850 +/- 0.0053 Ecliptic YDOT -0.00262559 +/- 0.0022 Ecliptic ZDOT -0.00120754 +/- 0.0002 # Distances at JD0 (AU) Heliocenter to KBO 35.47682378 +/- 4.9333 Geocenter to KBO 34.48177525 +/- 4.9376 # Hcoef: 9.33
The following table shows the complete astrometric record for 15FY561. 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 (15FY561) followed by the observatory code and reference code for the source of the astrometry.
2015 03 18.48012 11 53 14.19 +00 00 22.5 24.7r 15FY561 T09 C~8vFX 2015 03 18.54052 11 53 13.86 +00 00 24.1 25.2r 15FY561 T09 C~8vFX 2015 03 18.57308 11 53 13.68 +00 00 25.2 24.5r 15FY561 T09 C~8vFX 2015 03 20.42657 11 53 03.40 +00 01 17.5 24.5i 15FY561 T09 C~8vFX 2015 03 20.50521 11 53 02.95 +00 01 19.6 24.7i 15FY561 T09 C~8vFX 2015 03 20.54374 11 53 02.75 +00 01 20.7 24.1i 15FY561 T09 C~8vFX 2015 03 22.48509 11 52 51.97 +00 02 15.4 24.0i 15FY561 T09 C~8vFX 2015 03 22.52113 11 52 51.80 +00 02 16.4 24.2i 15FY561 T09 C~8vFX 2015 03 25.49141 11 52 35.38 +00 03 40.1 26.2g 15FY561 T09 C~8vFX 2015 03 25.51747 11 52 35.22 +00 03 40.7 25.7g 15FY561 T09 C~8vFX 2015 03 25.54970 11 52 35.04 +00 03 41.7 25.5g 15FY561 T09 C~8vFX 2015 03 29.38231 11 52 14.07 +00 05 28.6 24.0y 15FY561 T09 C~8vFX 2015 03 29.38774 11 52 14.06 +00 05 29.3 23.7y 15FY561 T09 C~8vFX 2015 03 29.39311 11 52 14.01 +00 05 29.1 24.3y 15FY561 T09 C~8vFX
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 -0.11 0.00 -0.02 2 0.0002 -5.18 0.07 -0.50 -0.05 3 0.0003 -8.09 0.04 -0.56 0.14 4 0.0053 -170.37 -0.08 -13.89 0.10 5 0.0055 -177.40 -0.11 -14.65 -0.04 6 0.0056 -180.59 0.12 -14.83 0.07 7 0.0110 -350.71 -0.16 -28.94 -0.15 8 0.0111 -353.45 0.29 -29.04 0.03 9 0.0192 -612.72 0.08 -50.17 0.02 10 0.0193 -615.16 -0.06 -50.58 -0.19 11 0.0194 -618.04 -0.10 -50.73 -0.10 12 0.0298 -949.16 0.01 -77.72 -0.21 13 0.0299 -949.58 0.07 -77.14 0.42 14 0.0299 -950.19 -0.07 -77.62 -0.02
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.