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: 15KR166 # Created Sat Feb 22 02:10:28 2025 # Orbit generated from Bernstein formalism # Fitting 16 observations of 16 # Arc: 55.94d # First observation: 2015/05/17 # Last observation: 2015/07/12 Preliminary a, adot, b, bdot, g, gdot: -0.000004 0.034665 -0.000012 0.002289 0.028676 0.000000 # Chi-squared of fit: 2.23 DOF: 26 RMS: 0.07 # Min/Max residuals: -0.17 0.12 # Exact a, adot, b, bdot, g, gdot: 1.719952E-05 2.991158E-02 3.804808E-07 9.924090E-04 2.794798E-02 -3.263661E-04 # Covariance matrix: 4.2475E-13 3.0644E-11 -4.0960E-14 7.8605E-12 8.6836E-12 3.2864E-10 3.0644E-11 4.0022E-08 -8.9769E-11 1.0823E-08 6.5472E-09 -8.1749E-07 -4.0960E-14 -8.9769E-11 3.6845E-13 -2.5639E-11 -1.4245E-11 1.9617E-09 7.8605E-12 1.0823E-08 -2.5639E-11 2.9531E-09 1.7602E-09 -2.2438E-07 8.6836E-12 6.5472E-09 -1.4245E-11 1.7602E-09 1.1224E-09 -1.1944E-07 3.2864E-10 -8.1749E-07 1.9617E-09 -2.2438E-07 -1.1944E-07 2.0776E-05 # lat0 lon0 xBary yBary zBary JD0 15.260254 -139.729122 -0.276064 0.255670 -0.936772 2457159.913339 # Heliocentric elements and errors Epoch: 2457150.5000 = 2015/05/08 Mean Anomaly: 358.70030 +/- 117.361 Argument of Peri: 84.88268 +/- 134.971 Long of Asc Node: 137.51189 +/- 0.168 Inclination: 14.96064 +/- 0.005 Eccentricity: 0.06882088 +/- 0.0169 Semi-Major Axis: 39.43507368 +/- 0.5258 Time of Perihelion: 2457477.0595 +/- 29488.0 Perihelion: 36.72111727 +/- 0.8263 Aphelion: 42.14903008 +/- 0.8712 Period (y) 247.6465 +/- 4.95 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -26.90335612 +/- 0.0316 Ecliptic Y -23.15194443 +/- 0.0267 Ecliptic Z 9.41770305 +/- 0.0113 Ecliptic XDOT 0.00193432 +/- 0.0003 Ecliptic YDOT -0.00220539 +/- 0.0003 Ecliptic ZDOT 0.00008545 +/- 0.0001 # Distances at JD0 (AU) Heliocenter to KBO 36.72187675 +/- 0.0288 Geocenter to KBO 35.78075639 +/- 0.0429 # Hcoef: 7.98
The following table shows the complete astrometric record for 15KR166. 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 (15KR166) followed by the observatory code and reference code for the source of the astrometry.
2015 05 17.412561 14 50 23.742 -00 22 35.79 24.5g 15KR166 568 C~2TuP 2015 05 17.484225 14 50 23.376 -00 22 34.54 24.6g 15KR166 568 C~2TuP 2015 05 17.503296 14 50 23.274 -00 22 34.27 24.7g 15KR166 568 C~2TuP 2015 05 21.387551 14 50 03.788 -00 21 29.55 23.4i 15KR166 568 C~2TuP 2015 05 21.390245 14 50 03.775 -00 21 29.54 23.4i 15KR166 568 C~2TuP 2015 05 21.395625 14 50 03.748 -00 21 29.44 23.5i 15KR166 568 C~2TuP 2015 05 26.36079 14 49 39.47 -00 20 19.4 23.3y 15KR166 T09 C~8eSH 2015 05 26.42978 14 49 39.14 -00 20 18.4 22.9y 15KR166 T09 C~8eSH 2015 05 26.43645 14 49 39.09 -00 20 18.4 23.2y 15KR166 T09 C~8eSH 2015 05 26.44517 14 49 39.07 -00 20 18.2 23.0y 15KR166 T09 C~8eSH 2015 05 26.46546 14 49 38.96 -00 20 17.9 22.9y 15KR166 T09 C~8eSH 2015 07 12.26574 14 47 01.36 -00 21 54.6 23.3z 15KR166 T09 C~8eSH 2015 07 12.27784 14 47 01.33 -00 21 54.8 23.7z 15KR166 T09 C~8eSH 2015 07 12.28594 14 47 01.33 -00 21 55.0 23.5z 15KR166 T09 C~8eSH 2015 07 12.33461 14 47 01.25 -00 21 55.8 23.6z 15KR166 T09 C~8eSH 2015 07 12.35079 14 47 01.23 -00 21 56.0 23.3z 15KR166 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 -0.06 0.00 0.04
2 0.0002 -5.61 0.00 -0.48 0.03
3 0.0002 -7.15 -0.03 -0.68 -0.05
4 0.0109 -305.29 0.04 -27.73 0.01
5 0.0109 -305.48 0.06 -27.78 -0.02
6 0.0109 -305.89 0.06 -27.80 -0.00
7 0.0245 -674.14 -0.02 -71.60 -0.10
8 0.0247 -679.16 0.05 -72.15 0.05
9 0.0247 -679.87 -0.17 -72.38 -0.11
10 0.0247 -680.22 0.12 -72.28 0.08
11 0.0248 -681.88 -0.05 -72.49 0.07
12 0.1529 -2905.14 0.02 -882.31 0.02
13 0.1530 -2905.51 -0.14 -882.64 -0.02
14 0.1530 -2905.45 0.06 -882.83 -0.03
15 0.1531 -2906.35 0.01 -883.95 -0.03
16 0.1532 -2906.57 0.06 -884.24 0.06
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.
15KR166 quality flag:1 Type: 3:2E CENTAURR CLASSICAL axisobj 39.072 48.415 38.589 ecceobj 0.061 0.434 0.048 incobj 14.973 14.983 14.956 qmin 35.582 26.933 34.904 qmax 43.844 71.697 43.031 amean 39.461 47.823 38.868 amin 39.038 46.681 38.569 amax 39.912 49.689 39.204 emean 0.075 0.422 0.057 emin 0.048 0.405 0.025 emax 0.099 0.443 0.099 imean 13.967 13.442 10.552 imin 13.110 12.078 6.845 imax 15.018 14.788 14.725 excite_mean 0.253 0.482 0.193 fracstop 1.000 0.757 1.000 cjmean 2.979 2.852 3.004 libcent 0 179.5 -180.0 -180.0 libamp 0 111.7 -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 180.3 184.1 178.9 kozaiamp 179.9 180.0 180.0