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: 15FP398 # Created Tue Jun 17 01:10:28 2025 # Orbit generated from Bernstein formalism # Fitting 7 observations of 7 # Arc: 2.06d # First observation: 2015/03/18 # Last observation: 2015/03/20 # WARNING Fitting with energy constraint # WARNING and with gdot fixed = 0 # Chi-squared of fit: 0.05 DOF: 10 RMS: 0.02 # Min/Max residuals: -0.02 0.03 # Exact a, adot, b, bdot, g, gdot: 1.466363E-05 2.096088E-02 -1.243000E-06 -1.733159E-03 2.237536E-02 0.000000E+00 # Covariance matrix: 2.7908E-11 3.8879E-08 -1.1467E-14 -2.8691E-11 6.1758E-09 0.0000E+00 3.8879E-08 5.4906E-05 -1.6179E-11 -4.0438E-08 8.7061E-06 0.0000E+00 -1.1467E-14 -1.6179E-11 2.9397E-13 -4.9096E-11 -2.5661E-12 0.0000E+00 -2.8691E-11 -4.0438E-08 -4.9096E-11 2.8704E-08 -6.4157E-09 0.0000E+00 6.1758E-09 8.7061E-06 -2.5661E-12 -6.4157E-09 1.3812E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 1.4741E-04 # lat0 lon0 xBary yBary zBary JD0 1.447236 179.424204 0.035628 0.025169 -0.991198 2457099.992657 # Heliocentric elements and errors Epoch: 2457090.5000 = 2015/03/09 Mean Anomaly: 1.15386 +/- 101.849 Argument of Peri: 162.01683 +/- 168.255 Long of Asc Node: 16.05528 +/- 5.701 Inclination: 4.92241 +/- 1.633 Eccentricity: 0.02715306 +/- 0.5594 Semi-Major Axis: 46.96122767 +/- 24.5886 Time of Perihelion: 2456713.7444 +/- 385892.9 Perihelion: 45.68608652 +/- 35.5283 Aphelion: 48.23636883 +/- 36.4408 Period (y) 321.8232 +/- 252.76 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -45.66975308 +/- 2.3465 Ecliptic Y 0.49435198 +/- 0.0238 Ecliptic Z 1.12871964 +/- 0.0593 Ecliptic XDOT -0.00003455 +/- 0.0015 Ecliptic YDOT -0.00257036 +/- 0.0008 Ecliptic ZDOT -0.00021191 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 45.68637366 +/- 2.3457 Geocenter to KBO 44.69202429 +/- 2.3474 # Hcoef: 6.55
The following table shows the complete astrometric record for 15FP398. 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 (15FP398) followed by the observatory code and reference code for the source of the astrometry.
2015 03 18.491879 12 00 11.407 +01 33 24.57 22.9r 15FP398 568 C~2TuH 2015 03 18.518557 12 00 11.292 +01 33 25.26 23.1r 15FP398 568 C~2TuH 2015 03 18.520734 12 00 11.281 +01 33 25.33 23.1r 15FP398 568 C~2TuH 2015 03 18.549212 12 00 11.161 +01 33 26.11 23.3r 15FP398 568 C~2TuH 2015 03 20.474493 12 00 03.126 +01 34 16.45 22.7i 15FP398 568 C~2TuH 2015 03 20.518991 12 00 02.935 +01 34 17.62 22.6i 15FP398 568 C~2TuH 2015 03 20.554741 12 00 02.784 +01 34 18.56 22.6i 15FP398 568 C~2TuH
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 0.03 0.00 0.00 2 0.0001 -1.86 0.01 -0.05 -0.01 3 0.0001 -2.04 -0.02 -0.05 -0.01 4 0.0002 -4.00 -0.02 -0.05 0.02 5 0.0054 -134.56 0.02 -1.81 -0.00 6 0.0055 -137.65 -0.01 -1.88 -0.00 7 0.0056 -140.10 -0.00 -1.91 0.00
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.
15FP398 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