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: 15KG166 # Created Sun Feb 23 02:10:24 2025 # Orbit generated from Bernstein formalism # Fitting 9 observations of 9 # Arc: 8.94d # First observation: 2015/05/17 # Last observation: 2015/05/26 Preliminary a, adot, b, bdot, g, gdot: -0.000000 0.036063 -0.000000 0.007280 0.030323 0.000000 # WARNING Fitting with energy constraint # Chi-squared of fit: 0.46 DOF: 13 RMS: 0.04 # Min/Max residuals: -0.09 0.07 # Exact a, adot, b, bdot, g, gdot: 1.657843E-05 3.069468E-02 3.686862E-06 6.800233E-03 2.943021E-02 -4.685508E-03 # Covariance matrix: 6.4788E-12 1.0366E-08 7.4756E-14 9.3714E-10 1.7793E-09 -3.0924E-08 1.0366E-08 1.7855E-05 1.2209E-10 1.6097E-06 3.0506E-06 -6.7271E-05 7.4756E-14 1.2209E-10 3.7407E-13 -7.5577E-12 2.1139E-11 1.2182E-11 9.3714E-10 1.6097E-06 -7.5577E-12 1.4679E-07 2.7510E-07 -5.9617E-06 1.7793E-09 3.0506E-06 2.1139E-11 2.7510E-07 5.2160E-07 -1.0885E-05 -3.0924E-08 -6.7271E-05 1.2182E-11 -5.9617E-06 -1.0885E-05 1.2900E-03 # lat0 lon0 xBary yBary zBary JD0 13.552313 -141.380986 -0.303847 0.225683 -0.935874 2457159.907647 # Heliocentric elements and errors Epoch: 2457150.5000 = 2015/05/08 Mean Anomaly: 291.32878 +/- 109.182 Argument of Peri: 132.41576 +/- 68.393 Long of Asc Node: 172.76932 +/- 3.120 Inclination: 17.93262 +/- 0.885 Eccentricity: 0.14216207 +/- 1.1649 Semi-Major Axis: 36.11321430 +/- 16.6133 Time of Perihelion: 2472271.1303 +/- 21658.4 Perihelion: 30.97928503 +/- 44.4172 Aphelion: 41.24714358 +/- 46.1501 Period (y) 217.0238 +/- 149.76 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -26.37428375 +/- 0.6334 Ecliptic Y -21.45553737 +/- 0.5059 Ecliptic Z 7.96250968 +/- 0.1954 Ecliptic XDOT 0.00222629 +/- 0.0026 Ecliptic YDOT -0.00188015 +/- 0.0019 Ecliptic ZDOT 0.00051293 +/- 0.0008 # Distances at JD0 (AU) Heliocenter to KBO 34.91911350 +/- 0.5723 Geocenter to KBO 33.97869544 +/- 0.8338 # Hcoef: 9.01
The following table shows the complete astrometric record for 15KG166. 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 (15KG166) followed by the observatory code and reference code for the source of the astrometry.
2015 05 17.406869 14 42 12.341 -01 30 37.59 25.2g 15KG166 568 C~2TuP 2015 05 17.454548 14 42 12.090 -01 30 36.60 24.8g 15KG166 568 C~2TuP 2015 05 17.467256 14 42 12.019 -01 30 36.16 25.0g 15KG166 568 C~2TuP 2015 05 21.375362 14 41 51.788 -01 29 12.95 24.4i 15KG166 568 C~2TuP 2015 05 21.401012 14 41 51.655 -01 29 12.45 24.4i 15KG166 568 C~2TuP 2015 05 21.409087 14 41 51.611 -01 29 12.27 24.0i 15KG166 568 C~2TuP 2015 05 26.29606 14 41 27.07 -01 27 40.6 24.3y 15KG166 T09 C~8eSH 2015 05 26.32836 14 41 26.91 -01 27 39.9 23.7y 15KG166 T09 C~8eSH 2015 05 26.34311 14 41 26.84 -01 27 39.7 23.9y 15KG166 T09 C~8eSH
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 -0.02 0.00 -0.01
2 0.0001 -3.88 0.06 -0.23 -0.07
3 0.0002 -5.03 -0.04 -0.14 0.07
4 0.0109 -319.23 -0.00 -15.38 0.01
5 0.0109 -321.28 0.02 -15.52 -0.00
6 0.0110 -321.97 -0.01 -15.55 0.00
7 0.0243 -700.22 -0.02 -42.86 -0.09
8 0.0244 -702.72 -0.03 -42.94 0.06
9 0.0245 -703.78 0.05 -43.08 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.
15KG166 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