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: 17BH239 # Created Wed Nov 27 02:10:46 2024 # Orbit generated from Bernstein formalism # Fitting 13 observations of 13 # Arc: 34.02d # First observation: 2016/12/25 # Last observation: 2017/01/28 Preliminary a, adot, b, bdot, g, gdot: -0.000001 0.042118 -0.000000 0.008729 0.032226 0.000000 # WARNING Fitting with energy constraint # Chi-squared of fit: 10.82 DOF: 21 RMS: 0.16 # Min/Max residuals: -0.53 0.22 # Exact a, adot, b, bdot, g, gdot: 1.850063E-05 3.877149E-02 3.909944E-06 8.177314E-03 3.131767E-02 1.007823E-02 # Covariance matrix: 5.4938E-13 5.2881E-10 4.9925E-14 8.5432E-11 1.1744E-10 5.2581E-09 5.2881E-10 1.0947E-06 1.0257E-10 1.7570E-07 2.4072E-07 1.0390E-05 4.9925E-14 1.0257E-10 3.0008E-13 1.3277E-11 2.2646E-11 1.0154E-09 8.5432E-11 1.7570E-07 1.3277E-11 2.8263E-08 3.8686E-08 1.6897E-06 1.1744E-10 2.4072E-07 2.2646E-11 3.8686E-08 5.3484E-08 2.5406E-06 5.2581E-09 1.0390E-05 1.0154E-09 1.6897E-06 2.5406E-06 2.1804E-04 # lat0 lon0 xBary yBary zBary JD0 -11.782619 148.587972 0.808103 -0.115604 -0.555174 2457747.961099 # Heliocentric elements and errors Epoch: 2457740.5000 = 2016/12/18 Mean Anomaly: 14.96643 +/- 14.638 Argument of Peri: 271.98132 +/- 43.026 Long of Asc Node: 191.83410 +/- 0.591 Inclination: 16.23632 +/- 0.165 Eccentricity: 0.45305407 +/- 0.3706 Semi-Major Axis: 54.62179268 +/- 24.8756 Time of Perihelion: 2451610.4623 +/- 4290.7 Perihelion: 29.87516697 +/- 24.3883 Aphelion: 79.36841839 +/- 41.4267 Period (y) 403.6985 +/- 275.78 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -26.74344523 +/- 0.1970 Ecliptic Y 17.27218921 +/- 0.1203 Ecliptic Z -6.52017120 +/- 0.0482 Ecliptic XDOT -0.00262467 +/- 0.0011 Ecliptic YDOT -0.00237383 +/- 0.0006 Ecliptic ZDOT 0.00051985 +/- 0.0003 # Distances at JD0 (AU) Heliocenter to KBO 32.49696933 +/- 0.1745 Geocenter to KBO 31.93085534 +/- 0.2358 # Hcoef: 9.83
The following table shows the complete astrometric record for 17BH239. 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 (17BH239) followed by the observatory code and reference code for the source of the astrometry.
2016 12 25.46031 09 46 41.82 +00 53 37.8 24.9r 17BH239 T09 C~85Ir 2016 12 25.46657 09 46 41.79 +00 53 37.8 24.9r 17BH239 T09 C~85Ir 2016 12 25.47284 09 46 41.75 +00 53 37.8 24.8r 17BH239 T09 C~85Ir 2016 12 25.48541 09 46 41.72 +00 53 37.8 25.5r 17BH239 T09 C~85Ir 2016 12 25.49797 09 46 41.69 +00 53 38.1 25.0r 17BH239 T09 C~85Ir 2017 01 26.46395 09 44 22.49 +01 00 42.8 24.9z 17BH239 T09 C~85Ir 2017 01 26.48805 09 44 22.35 +01 00 42.8 23.8z 17BH239 T09 C~85Ir 2017 01 26.51220 09 44 22.25 +01 00 43.9 24.5z 17BH239 T09 C~85Ir 2017 01 28.43325 09 44 11.93 +01 01 31.8 25.5g 17BH239 T09 C~85Ir 2017 01 28.44654 09 44 11.84 +01 01 32.0 25.2g 17BH239 T09 C~85Ir 2017 01 28.46131 09 44 11.76 +01 01 32.5 25.4g 17BH239 T09 C~85Ir 2017 01 28.47182 09 44 11.71 +01 01 32.6 26.0g 17BH239 T09 C~85Ir 2017 01 28.47880 09 44 11.67 +01 01 33.0 25.5g 17BH239 T09 C~85Ir
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 0.22 0.00 0.05 2 0.0000 -0.42 0.08 -0.15 -0.02 3 0.0000 -0.99 -0.21 -0.36 -0.13 4 0.0001 -1.41 -0.06 -0.51 -0.10 5 0.0001 -1.94 -0.03 -0.38 0.22 6 0.0876 -2109.93 -0.17 -309.57 0.07 7 0.0877 -2111.90 -0.09 -310.28 -0.53 8 0.0878 -2113.69 0.18 -309.75 0.12 9 0.0930 -2275.55 0.13 -317.22 0.17 10 0.0930 -2276.89 -0.06 -317.49 -0.05 11 0.0931 -2278.19 -0.08 -317.43 0.08 12 0.0931 -2278.93 0.09 -317.59 -0.04 13 0.0931 -2279.63 -0.01 -317.42 0.16
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.