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 Sun Oct 19 01:10:58 2025 # Orbit generated from Bernstein formalism # Fitting 29 observations of 29 # Arc: 0.88y # First observation: 2015/05/17 # Last observation: 2016/04/04 Preliminary a, adot, b, bdot, g, gdot: -0.000064 0.030155 -0.000003 0.000965 0.027484 0.000000 # Chi-squared of fit: 8.08 DOF: 52 RMS: 0.09 # Min/Max residuals: -0.27 0.24 # Exact a, adot, b, bdot, g, gdot: 1.669848E-05 2.987055E-02 4.560811E-07 9.821637E-04 2.793383E-02 -1.643024E-03 # Covariance matrix: 1.9538E-13 2.1643E-12 3.7592E-14 -1.8166E-14 1.0354E-12 6.9680E-11 2.1643E-12 1.6609E-10 1.8912E-12 -1.3854E-12 5.5914E-11 4.5486E-09 3.7592E-14 1.8912E-12 1.2993E-13 -1.4941E-13 6.8945E-13 5.3205E-11 -1.8166E-14 -1.3854E-12 -1.4941E-13 3.3750E-13 -4.6260E-13 -3.7896E-11 1.0354E-12 5.5914E-11 6.8945E-13 -4.6260E-13 2.0040E-11 1.5643E-09 6.9680E-11 4.5486E-09 5.3205E-11 -3.7896E-11 1.5643E-09 1.2558E-07 # 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: 329.69099 +/- 5.806 Argument of Peri: 119.14413 +/- 7.147 Long of Asc Node: 137.37626 +/- 0.016 Inclination: 14.95686 +/- 0.000 Eccentricity: 0.08378288 +/- 0.0072 Semi-Major Axis: 39.52083927 +/- 0.0461 Time of Perihelion: 2464790.7395 +/- 1463.5 Perihelion: 36.20966947 +/- 0.2869 Aphelion: 42.83200906 +/- 0.2881 Period (y) 248.4548 +/- 0.43 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -26.91671614 +/- 0.0042 Ecliptic Y -23.16323978 +/- 0.0036 Ecliptic Z 9.42247891 +/- 0.0015 Ecliptic XDOT 0.00202749 +/- 0.0000 Ecliptic YDOT -0.00212313 +/- 0.0000 Ecliptic ZDOT 0.00005056 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 36.74001080 +/- 0.0039 Geocenter to KBO 35.79889155 +/- 0.0057 # Hcoef: 8.32
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 2016 03 09.63261 15 01 52.06 -01 23 41.1 24.2r 15KR166 T09 C~94qJ 2016 03 09.64853 15 01 52.02 -01 23 40.4 24.1r 15KR166 T09 C~94qJ 2016 03 12.53503 15 01 45.46 -01 22 07.2 23.8z 15KR166 T09 C~94qJ 2016 03 12.55413 15 01 45.44 -01 22 06.7 24.0z 15KR166 T09 C~94qJ 2016 03 12.60817 15 01 45.29 -01 22 04.8 24.3z 15KR166 T09 C~94qJ 2016 03 12.61900 15 01 45.27 -01 22 04.7 24.5z 15KR166 T09 C~94qJ 2016 03 15.54539 15 01 37.81 -01 20 28.6 23.1y 15KR166 T09 C~94qJ 2016 03 15.62932 15 01 37.58 -01 20 25.9 24.4y 15KR166 T09 C~94qJ 2016 04 04.57104 15 00 28.06 -01 09 24.4 25.1g 15KR166 T09 C~94qJ 2016 04 04.58665 15 00 27.99 -01 09 23.7 25.0g 15KR166 T09 C~94qJ 2016 04 04.61224 15 00 27.88 -01 09 23.1 25.2g 15KR166 T09 C~94qJ 2016 04 04.61647 15 00 27.86 -01 09 22.6 25.6g 15KR166 T09 C~94qJ 2016 04 04.62283 15 00 27.84 -01 09 22.6 25.1g 15KR166 T09 C~94qJ
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 0.04 0.00 0.02
2 0.0002 -5.61 0.10 -0.48 0.02
3 0.0002 -7.15 0.07 -0.68 -0.07
4 0.0109 -305.29 0.05 -27.73 -0.00
5 0.0109 -305.48 0.07 -27.78 -0.03
6 0.0109 -305.89 0.07 -27.80 -0.01
7 0.0245 -674.14 -0.11 -71.60 -0.11
8 0.0247 -679.16 -0.04 -72.15 0.05
9 0.0247 -679.87 -0.27 -72.38 -0.11
10 0.0247 -680.22 0.03 -72.28 0.08
11 0.0248 -681.88 -0.14 -72.49 0.07
12 0.1529 -2905.14 0.04 -882.31 0.04
13 0.1530 -2905.51 -0.11 -882.64 -0.00
14 0.1530 -2905.45 0.09 -882.83 -0.01
15 0.1531 -2906.35 0.03 -883.95 -0.01
16 0.1532 -2906.57 0.09 -884.24 0.08
17 0.8137 10959.08 0.02 -362.93 -0.06
18 0.8138 10958.29 -0.10 -362.44 0.10
19 0.8217 10835.98 -0.20 -303.32 -0.03
20 0.8217 10835.54 0.24 -302.93 -0.02
21 0.8219 10832.81 -0.01 -301.80 0.05
22 0.8219 10832.49 0.17 -301.79 -0.16
23 0.8299 10696.41 -0.01 -244.00 0.08
24 0.8302 10692.29 0.06 -242.46 0.04
25 0.8848 9495.49 0.03 72.59 -0.10
26 0.8848 9494.27 -0.07 72.93 0.07
27 0.8849 9492.52 -0.00 73.01 -0.16
28 0.8849 9492.08 -0.14 73.39 0.17
29 0.8849 9491.79 0.03 73.30 0.01
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:3 Type: 3:2E 3:2E 3:2E axisobj 39.163 39.224 39.138 ecceobj 0.079 0.099 0.076 incobj 14.969 14.968 14.970 qmin 34.907 34.417 35.090 qmax 44.456 44.928 44.287 amean 39.460 39.459 39.460 amin 39.061 39.048 39.064 amax 39.883 39.908 39.889 emean 0.091 0.105 0.089 emin 0.070 0.083 0.067 emax 0.115 0.127 0.112 imean 13.811 13.805 13.842 imin 13.079 13.197 13.101 imax 14.521 14.470 14.558 excite_mean 0.255 0.261 0.255 fracstop 1.000 1.000 1.000 cjmean 2.977 2.974 2.977 libcent 0 179.1 180.0 180.0 libamp 0 87.4 91.3 92.1 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 180.2 179.1 179.9 kozaiamp 180.0 180.0 180.0