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: 15KU186 # Created Tue Jan 21 02:10:37 2025 # Orbit generated from Bernstein formalism # Fitting 7 observations of 7 # Arc: 63.67d # First observation: 2015/05/18 # Last observation: 2015/07/21 Preliminary a, adot, b, bdot, g, gdot: -0.000005 0.016046 -0.000007 -0.002447 0.018520 0.000000 # Chi-squared of fit: 0.69 DOF: 8 RMS: 0.06 # Min/Max residuals: -0.07 0.11 # Exact a, adot, b, bdot, g, gdot: 1.101566E-05 1.323168E-02 -2.552637E-06 -2.887640E-03 1.810703E-02 -5.920389E-04 # Covariance matrix: 5.1097E-13 1.6213E-11 -3.1373E-14 2.5868E-12 4.0565E-12 1.5840E-10 1.6213E-11 1.7794E-08 -3.7171E-11 2.7587E-09 2.6530E-09 -2.7312E-07 -3.1373E-14 -3.7171E-11 4.8036E-13 -8.6216E-12 -5.4393E-12 6.1478E-10 2.5868E-12 2.7587E-09 -8.6216E-12 4.7160E-10 4.0721E-10 -4.4314E-08 4.0565E-12 2.6530E-09 -5.4393E-12 4.0721E-10 4.1304E-10 -3.4654E-08 1.5840E-10 -2.7312E-07 6.1478E-10 -4.4314E-08 -3.4654E-08 6.4911E-06 # lat0 lon0 xBary yBary zBary JD0 16.650387 -119.562308 0.059248 0.288918 -0.965722 2457160.879768 # Heliocentric elements and errors Epoch: 2457160.5000 = 2015/05/18 Mean Anomaly: 193.39448 +/- 41.412 Argument of Peri: 297.04830 +/- 42.014 Long of Asc Node: 112.50125 +/- 0.383 Inclination: 20.39337 +/- 0.098 Eccentricity: 0.20547089 +/- 0.0152 Semi-Major Axis: 46.76660215 +/- 0.8623 Time of Perihelion: 2511222.1167 +/- 13354.4 Perihelion: 37.15742693 +/- 0.9869 Aphelion: 56.37577737 +/- 1.2590 Period (y) 319.8246 +/- 8.85 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -26.65662754 +/- 0.0293 Ecliptic Y -46.87133691 +/- 0.0516 Ecliptic Z 15.82422007 +/- 0.0178 Ecliptic XDOT 0.00171800 +/- 0.0002 Ecliptic YDOT -0.00102742 +/- 0.0003 Ecliptic ZDOT -0.00044389 +/- 0.0001 # Distances at JD0 (AU) Heliocenter to KBO 56.19523072 +/- 0.0455 Geocenter to KBO 55.22717942 +/- 0.0620 # Hcoef: 7.91
The following table shows the complete astrometric record for 15KU186. 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 (15KU186) followed by the observatory code and reference code for the source of the astrometry.
2015 05 18.37899 16 06 52.510 -03 56 00.91 15KU186 568 C~3wq3 2015 05 18.51819 16 06 51.980 -03 55 59.35 15KU186 568 C~3wq3 2015 05 18.59568 16 06 51.692 -03 55 58.62 25.3r 15KU186 568 C~3wq3 2015 06 12.44304 16 05 21.210 -03 53 12.06 15KU186 568 C~3wq3 2015 06 12.51510 16 05 20.958 -03 53 12.00 15KU186 568 C~3wq3 2015 07 20.16662 16 03 34.535 -03 55 54.95 15KU186 304 C~3wq3 2015 07 21.04665 16 03 32.854 -03 56 04.90 15KU186 304 C~3wq3
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 0.11 0.00 0.01
2 0.0004 -8.08 -0.07 -0.03 0.05
3 0.0006 -12.45 -0.05 -0.16 -0.05
4 0.0686 -1372.83 -0.04 -103.54 0.05
5 0.0688 -1376.54 0.04 -104.22 -0.06
6 0.1719 -2905.83 0.01 -578.42 0.07
7 0.1743 -2928.53 -0.01 -593.15 -0.07
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.
15KU186 quality flag:1 Type: SCATEXTD CENTAURS SCATNEAR axisobj 46.467 61.571 45.624 ecceobj 0.214 0.507 0.235 incobj 20.377 20.185 20.620 qmin 36.312 29.677 34.306 qmax 57.746 98.516 58.243 amean 46.783 63.062 45.973 amin 46.380 61.151 45.503 amax 47.266 65.587 46.537 emean 0.206 0.499 0.232 emin 0.191 0.472 0.213 emax 0.222 0.522 0.253 imean 18.892 20.058 19.020 imin 18.379 17.325 18.215 imax 19.370 22.105 19.683 excite_mean 0.384 0.606 0.400 fracstop 1.000 1.000 1.000 cjmean 2.952 2.833 2.927 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 179.2 186.0 172.9 kozaiamp 180.0 179.9 180.0