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: 15KN199 # Created Sun Nov 24 02:10:22 2024 # Orbit generated from Bernstein formalism # Fitting 21 observations of 22 # Arc: 1.37y # First observation: 2015/03/21 # Last observation: 2016/07/05 Preliminary a, adot, b, bdot, g, gdot: -0.000086 0.021562 0.000003 -0.000027 0.022734 0.000000 # Chi-squared of fit: 14.06 DOF: 36 RMS: 0.14 # Min/Max residuals: -0.53 0.39 # Exact a, adot, b, bdot, g, gdot: 1.421926E-05 2.118463E-02 -3.061542E-06 -2.680200E-05 2.243363E-02 -6.256808E-04 # Covariance matrix: 7.9154E-13 1.4155E-13 -5.2679E-14 5.5285E-14 8.3415E-13 4.0110E-11 1.4155E-13 5.7792E-13 -3.2736E-14 4.8275E-14 5.2089E-13 3.5204E-11 -5.2679E-14 -3.2736E-14 1.7058E-13 -1.8467E-13 -7.6345E-14 -4.3328E-12 5.5285E-14 4.8275E-14 -1.8467E-13 3.3476E-13 9.4878E-14 6.8518E-12 8.3415E-13 5.2089E-13 -7.6345E-14 9.4878E-14 1.2116E-12 6.9026E-11 4.0110E-11 3.5204E-11 -4.3328E-12 6.8518E-12 6.9026E-11 5.0009E-09 # lat0 lon0 xBary yBary zBary JD0 4.851671 -124.593087 0.980443 0.008862 -0.102869 2457074.157438 # Heliocentric elements and errors Epoch: 2457070.5000 = 2015/02/17 Mean Anomaly: 284.80372 +/- 0.352 Argument of Peri: 170.53034 +/- 0.699 Long of Asc Node: 144.41949 +/- 0.019 Inclination: 4.83906 +/- 0.000 Eccentricity: 0.05001731 +/- 0.0033 Semi-Major Axis: 45.16097205 +/- 0.0148 Time of Perihelion: 2480225.0953 +/- 107.8 Perihelion: 42.90214176 +/- 0.1503 Aphelion: 47.41980234 +/- 0.1505 Period (y) 303.4961 +/- 0.15 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -26.08529848 +/- 0.0013 Ecliptic Y -36.09178229 +/- 0.0018 Ecliptic Z 3.76995032 +/- 0.0002 Ecliptic XDOT 0.00216774 +/- 0.0000 Ecliptic YDOT -0.00141104 +/- 0.0000 Ecliptic ZDOT -0.00000963 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 44.69084997 +/- 0.0016 Geocenter to KBO 44.57592441 +/- 0.0022 # Hcoef: 8.07
The following table shows the complete astrometric record for 15KN199. 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 (15KN199) followed by the observatory code and reference code for the source of the astrometry.
2015 02 20.65666 15 37 03.244 -14 23 58.20 24.2r 15KN199 568 C~4n9t 2015 03 21.62951 15 36 37.082 -14 19 17.92 24.8r 15KN199 568 C~4n9t 2015 04 12.48811 15 35 33.322 -14 13 45.73 24.5r 15KN199 568 C~4n9t 2015 04 12.52910 15 35 33.177 -14 13 44.74 24.4r 15KN199 568 C~4n9t 2015 05 17.38343 15 33 05.552 -14 03 51.36 24.5r 15KN199 568 C~4n9t 2015 05 17.42514 15 33 05.365 -14 03 50.83 24.8r 15KN199 568 C~4n9t 2015 05 24.36910 15 32 33.890 -14 02 01.75 24.2r 15KN199 568 C~4n9t 2015 05 24.41533 15 32 33.679 -14 02 00.97 23.7r 15KN199 568 C~4n9t 2015 05 24.45620 15 32 33.487 -14 02 00.31 24.3r 15KN199 568 C~4n9t 2015 05 26.44379 15 32 24.564 -14 01 30.85 24.5r 15KN199 568 C~4n9t 2015 06 18.34328 15 30 49.120 -13 56 44.35 24.6r 15KN199 568 C~4n9t 2015 06 18.38434 15 30 49.005 -13 56 43.75 24.4r 15KN199 568 C~4n9t 2015 06 21.35896 15 30 38.132 -13 56 15.89 24.6r 15KN199 568 C~4n9t 2015 07 10.39102 15 29 40.888 -13 54 20.68 24.8r 15KN199 568 C~4n9t 2015 07 17.34619 15 29 26.180 -13 54 07.72 15KN199 568 C~4n9t 2015 07 18.31678 15 29 24.395 -13 54 07.00 24.6r 15KN199 568 C~4n9t 2016 04 08.58811 15 40 42.032 -14 31 55.12 25.1w 15KN199 568 C~4n9t 2016 04 29.46970 15 39 20.851 -14 26 09.17 24.6w 15KN199 568 C~4n9t 2016 05 04.40478 15 38 59.311 -14 24 46.05 24.6w 15KN199 568 C~4n9t 2016 05 30.47820 15 37 01.520 -14 17 59.72 25.2w 15KN199 568 C~4n9t 2016 07 04.29009 15 34 50.325 -14 12 22.47 25.2w 15KN199 568 C~4n9t 2016 07 05.35837 15 34 47.316 -14 12 17.43 24.4w 15KN199 568 C~4n9t
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 ( 0.15) 0.00 ( 0.63) 2 0.0793 -435.08 -0.09 183.81 0.03 3 0.1392 -1413.99 0.07 289.72 -0.18 4 0.1393 -1416.27 0.09 290.19 0.15 5 0.2347 -3643.24 -0.10 360.05 0.15 6 0.2348 -3646.01 0.02 359.92 0.03 7 0.2538 -4116.98 0.08 357.08 0.06 8 0.2540 -4120.15 0.07 357.11 0.14 9 0.2541 -4123.02 -0.01 357.09 0.16 10 0.2595 -4256.21 0.07 354.81 -0.24 11 0.3222 -5674.48 -0.53 301.26 -0.35 12 0.3223 -5676.25 0.01 301.44 -0.01 13 0.3305 -5836.73 -0.06 290.54 0.06 14 0.3826 -6674.20 0.05 202.06 0.03 15 0.4016 -6885.40 0.39 163.03 -0.06 16 0.4043 -6910.83 -0.04 157.46 0.02 17 1.1305 3202.19 0.03 270.83 -0.07 18 1.1877 1975.02 -0.08 336.30 -0.10 19 1.2012 1651.34 0.05 344.91 -0.01 20 1.2726 -107.95 0.03 342.76 0.22 21 1.3679 -2041.29 -0.01 223.66 -0.01 22 1.3708 -2085.00 -0.04 218.25 -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.
15KN199 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.826 44.862 44.797 ecceobj 0.054 0.062 0.045 incobj 4.842 4.842 4.842 qmin 42.044 41.722 42.396 qmax 48.452 48.921 48.047 amean 45.162 45.195 45.131 amin 44.798 44.830 44.771 amax 45.528 45.581 45.505 emean 0.052 0.061 0.044 emin 0.038 0.047 0.030 emax 0.065 0.074 0.057 imean 4.042 4.047 4.038 imin 3.568 3.566 3.573 imax 4.515 4.529 4.504 excite_mean 0.088 0.093 0.083 fracstop 1.000 1.000 1.000 cjmean 3.106 3.106 3.107 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 182.5 183.5 182.3 kozaiamp 180.0 179.9 180.0