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: 15FR563 # Created Sun Oct 19 01:10:50 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: 3.60 DOF: 20 RMS: 0.10 # Min/Max residuals: -0.17 0.16 # Exact a, adot, b, bdot, g, gdot: 1.103639E-05 1.228018E-02 -7.682535E-06 -8.252403E-03 1.768949E-02 0.000000E+00 # Covariance matrix: 3.3440E-11 3.6968E-08 8.4915E-14 -8.5780E-12 5.8691E-09 0.0000E+00 3.6968E-08 4.1150E-05 9.4466E-11 -9.5418E-09 6.5299E-06 0.0000E+00 8.4915E-14 9.4466E-11 2.0017E-13 -1.5201E-11 1.4992E-11 0.0000E+00 -8.5780E-12 -9.5418E-09 -1.5201E-11 2.9739E-09 -1.5143E-09 0.0000E+00 5.8691E-09 6.5299E-06 1.4992E-11 -1.5143E-09 1.0363E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 7.2840E-05 # lat0 lon0 xBary yBary zBary JD0 -1.129615 178.902969 0.026812 -0.019425 -0.991602 2457099.980898 # Heliocentric elements and errors Epoch: 2457090.5000 = 2015/03/09 Mean Anomaly: 2.03795 +/- 280.822 Argument of Peri: 179.83582 +/- 347.202 Long of Asc Node: 357.21934 +/- 0.862 Inclination: 33.83363 +/- 13.790 Eccentricity: 0.02365358 +/- 0.5607 Semi-Major Axis: 58.91816699 +/- 30.4987 Time of Perihelion: 2456155.3890 +/- 624411.4 Perihelion: 57.52454131 +/- 44.4743 Aphelion: 60.31179266 +/- 45.4530 Period (y) 452.2536 +/- 351.16 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -57.50362352 +/- 3.2519 Ecliptic Y 1.12771248 +/- 0.0626 Ecliptic Z -1.11487779 +/- 0.0642 Ecliptic XDOT -0.00001463 +/- 0.0013 Ecliptic YDOT -0.00190654 +/- 0.0009 Ecliptic ZDOT -0.00127691 +/- 0.0001 # Distances at JD0 (AU) Heliocenter to KBO 57.52548484 +/- 3.2507 Geocenter to KBO 56.53074499 +/- 3.2531 # Hcoef: 7.82
The following table shows the complete astrometric record for 15FR563. 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 (15FR563) followed by the observatory code and reference code for the source of the astrometry.
2015 03 18.48012 11 54 10.61 -00 36 00.3 25.3r 15FR563 T09 C~90HX 2015 03 18.49690 11 54 10.54 -00 36 00.0 25.2r 15FR563 T09 C~90HX 2015 03 18.54052 11 54 10.39 -00 35 59.3 25.3r 15FR563 T09 C~90HX 2015 03 18.56877 11 54 10.30 -00 35 58.7 24.9r 15FR563 T09 C~90HX 2015 03 20.42657 11 54 03.69 -00 35 25.2 24.9i 15FR563 T09 C~90HX 2015 03 20.44705 11 54 03.62 -00 35 25.1 25.1i 15FR563 T09 C~90HX 2015 03 20.48579 11 54 03.47 -00 35 24.4 24.8i 15FR563 T09 C~90HX 2015 03 20.48863 11 54 03.47 -00 35 24.1 25.6i 15FR563 T09 C~90HX 2015 03 20.52736 11 54 03.33 -00 35 23.7 25.4i 15FR563 T09 C~90HX 2015 03 20.54374 11 54 03.26 -00 35 23.2 24.9i 15FR563 T09 C~90HX 2015 03 25.51747 11 53 45.63 -00 33 53.4 25.5g 15FR563 T09 C~90HX 2015 03 25.54542 11 53 45.52 -00 33 53.1 26.1g 15FR563 T09 C~90HX
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 -0.01 0.00 0.06 2 0.0000 -1.08 -0.14 -0.14 0.01 3 0.0002 -3.43 -0.00 -0.39 -0.03 4 0.0002 -4.90 0.12 -0.38 0.13 5 0.0053 -109.19 -0.06 -9.08 0.11 6 0.0054 -110.20 0.11 -9.40 -0.11 7 0.0055 -112.54 -0.03 -9.66 -0.17 8 0.0055 -112.66 0.01 -9.38 0.12 9 0.0056 -114.74 0.13 -9.85 -0.15 10 0.0056 -115.91 -0.10 -9.81 -0.03 11 0.0193 -394.24 0.02 -32.59 0.16 12 0.0193 -395.88 -0.04 -32.97 -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.
15FR563 quality flag:0 Type: ERR2LARGE ERR2LARGE ERR2LARGE axisobj 0.000 0.000 0.000 ecceobj -1.000 -1.000 -1.000 incobj -1.000 -1.000 -1.000 qmin 0.000 0.000 0.000 qmax 0.000 0.000 0.000 amean 0.000 0.000 0.000 amin 0.000 0.000 0.000 amax 0.000 0.000 0.000 emean 0.000 0.000 0.000 emin 0.000 0.000 0.000 emax 0.000 0.000 0.000 imean 0.000 0.000 0.000 imin 0.000 0.000 0.000 imax 0.000 0.000 0.000 excite_mean 0.000 0.000 0.000 fracstop 0.000 0.000 0.000 cjmean 0.000 0.000 0.000 libcent 0 -180.0 -180.0 -180.0 libamp 0 -180.0 -180.0 -180.0 libcent 1 -180.0 -180.0 -180.0 libamp 1 -180.0 -180.0 -180.0 libcent 2 -180.0 -180.0 -180.0 libamp 2 -180.0 -180.0 -180.0 libcent 3 -180.0 -180.0 -180.0 libamp 3 -180.0 -180.0 -180.0 libcent 4 -180.0 -180.0 -180.0 libamp 4 -180.0 -180.0 -180.0 kozaimean 0.0 0.0 0.0 kozaiamp 0.0 0.0 0.0