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: 09KX36 # Created Sat Apr 20 01:13:11 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 16 observations of 16 # Arc: 10.80y # First observation: 2009/05/27 # Last observation: 2020/03/15 # Chi-squared of fit: 7.58 DOF: 26 RMS: 0.12 # Min/Max residuals: -0.22 0.38 # Exact a, adot, b, bdot, g, gdot: 1.746524E-05 2.339016E-02 4.805056E-06 6.203407E-03 2.242291E-02 -8.828807E-03 # Covariance matrix: 1.3994E-13 -3.8404E-14 1.8147E-15 -6.1118E-15 -2.3145E-14 -9.3785E-14 -3.8404E-14 5.1479E-13 -4.8804E-14 1.0554E-13 -8.0017E-13 1.3472E-12 1.8147E-15 -4.8804E-14 1.3330E-13 -2.5433E-14 7.8961E-14 -1.2788E-13 -6.1118E-15 1.0554E-13 -2.5433E-14 2.7650E-14 -1.5815E-13 2.8352E-13 -2.3145E-14 -8.0017E-13 7.8961E-14 -1.5815E-13 1.5996E-12 -1.9279E-12 -9.3785E-14 1.3472E-12 -1.2788E-13 2.8352E-13 -1.9279E-12 3.6694E-12 # lat0 lon0 xBary yBary zBary JD0 12.566768 -178.103731 -0.907402 0.096883 -0.434722 2454978.783318 # Heliocentric elements and errors Epoch: 2454978.5000 = 2009/05/27 Mean Anomaly: 346.92862 +/- 0.012 Argument of Peri: 94.90163 +/- 0.024 Long of Asc Node: 143.26124 +/- 0.000 Inclination: 19.00925 +/- 0.000 Eccentricity: 0.57757024 +/- 0.0002 Semi-Major Axis: 90.80738364 +/- 0.0533 Time of Perihelion: 2466454.7296 +/- 268.2 Perihelion: 38.35974147 +/- 0.0279 Aphelion: 143.25502580 +/- 0.0856 Period (y) 865.3463 +/- 0.76 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -43.91715218 +/- 0.0025 Ecliptic Y -2.36679630 +/- 0.0001 Ecliptic Z 9.70358762 +/- 0.0005 Ecliptic XDOT 0.00131570 +/- 0.0000 Ecliptic YDOT -0.00280998 +/- 0.0000 Ecliptic ZDOT 0.00050464 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 45.03888697 +/- 0.0024 Geocenter to KBO 44.59757403 +/- 0.0025 # Hcoef: 7.66
The following table shows the complete astrometric record for 09KX36. 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 (09KX36) followed by the observatory code and reference code for the source of the astrometry.
2009 05 27.282552 12 27 10.014 +10 45 52.90 09KX36 568 C~0aRU 2009 05 27.331508 12 27 09.938 +10 45 52.72 25.3g 09KX36 568 C~0aRU 2009 05 27.379384 12 27 09.855 +10 45 52.76 25.4g 09KX36 568 C~0aRU 2009 05 28.288162 12 27 08.389 +10 45 50.55 25.0g 09KX36 568 C~0aRU 2009 05 28.335685 12 27 08.294 +10 45 50.43 25.2g 09KX36 568 C~0aRU 2009 05 29.305318 12 27 06.784 +10 45 47.72 24.1i 09KX36 568 C~0aRU 2009 06 22.280059 12 26 52.220 +10 41 45.17 24.4i 09KX36 568 C~0aRU 2009 06 24.267956 12 26 53.030 +10 41 10.74 23.9i 09KX36 568 C~0aRU 2009 06 24.306439 12 26 53.062 +10 41 10.08 24.4i 09KX36 568 C~0aRU 2009 06 24.350443 12 26 53.076 +10 41 09.24 24.0i 09KX36 568 C~0aRU 2010 03 16.532300 12 36 55.60 +10 10 51.8 23.1i 09KX36 T14 C~7udm 2012 02 28.581828 12 49 33.94 +09 31 47.3 23.3i 09KX36 T14 C~7udm 2016 02 16.555672 13 14 23.71 +08 17 15.6 23.6r 09KX36 T14 C~7udm 2016 02 16.605580 13 14 23.60 +08 17 17.3 09KX36 T14 C~7udm 2019 02 07.378042 13 33 40.43 +07 15 04.9 23.4z 09KX36 W84 C~7udm 2020 03 15.368894 13 38 44.29 +07 16 32.9 22.9i 09KX36 W84 C~7udm
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 -0.22 0.00 -0.00
2 0.0001 0.00 -0.08 0.00 -0.08
3 0.0003 0.00 -0.07 0.00 0.06
4 0.0028 0.00 0.17 0.00 -0.08
5 0.0029 0.00 -0.06 0.00 -0.07
6 0.0055 0.00 0.02 0.00 0.01
7 0.0712 0.00 0.38 0.00 0.01
8 0.0766 0.00 -0.19 0.00 -0.00
9 0.0767 0.00 0.04 0.00 0.03
10 0.0768 0.00 -0.06 0.00 -0.02
11 0.8029 0.00 -0.03 0.00 -0.01
12 2.7578 0.00 0.30 0.00 0.13
13 6.7249 0.00 -0.11 0.00 0.03
14 6.7250 0.00 -0.10 0.00 0.01
15 9.7005 0.00 -0.04 0.00 0.08
16 10.8011 0.00 0.07 0.00 -0.13
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.
09KX36 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 89.650 89.648 89.651 ecceobj 0.572 0.572 0.572 incobj 19.001 19.001 19.001 qmin 37.412 37.390 37.386 qmax 148.077 148.185 148.357 amean 90.997 91.084 91.005 amin 89.374 89.482 89.467 amax 93.286 93.312 93.346 emean 0.575 0.575 0.576 emin 0.563 0.561 0.564 emax 0.589 0.589 0.590 imean 17.998 18.065 17.971 imin 17.297 17.375 17.360 imax 18.703 18.998 18.590 excite_mean 0.653 0.654 0.653 fracstop 1.000 1.000 1.000 cjmean 3.035 3.035 3.035 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 194.1 205.0 186.0 kozaiamp 108.6 118.4 99.0