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: 10LK109 # Created Wed Nov 27 02:09:05 2024 # Orbit generated from Bernstein formalism # Fitting 13 observations of 13 # Arc: 84.98d # First observation: 2010/06/11 # Last observation: 2010/09/04 Preliminary a, adot, b, bdot, g, gdot: -0.000002 0.021399 0.000001 -0.002535 0.021881 0.000000 # WARNING Fitting with energy constraint # WARNING MRQMIN stopped after 19 iterations -- oscilliatory solution # Chi-squared of fit: 25.92 DOF: 21 RMS: 0.25 # Min/Max residuals: -0.40 0.83 # Exact a, adot, b, bdot, g, gdot: 1.311631E-05 1.889102E-02 -1.316755E-06 -2.404336E-03 2.154607E-02 6.722237E-03 # Covariance matrix: 2.6173E-13 7.7002E-11 3.1025E-15 -4.7132E-12 1.9017E-11 -8.9640E-10 7.7002E-11 8.7518E-08 3.6512E-12 -4.8483E-09 1.5362E-08 -2.6374E-06 3.1025E-15 3.6512E-12 1.3500E-13 -8.0545E-13 6.2839E-13 -1.1343E-10 -4.7132E-12 -4.8483E-09 -8.0545E-13 2.8892E-10 -8.8955E-10 1.3586E-07 1.9017E-11 1.5362E-08 6.2839E-13 -8.8955E-10 3.1979E-09 -3.2898E-07 -8.9640E-10 -2.6374E-06 -1.1343E-10 1.3586E-07 -3.2898E-07 1.1535E-04 # lat0 lon0 xBary yBary zBary JD0 -2.885250 -110.869312 -0.188588 -0.050211 -0.995182 2455358.763846 # Heliocentric elements and errors Epoch: 2455350.5000 = 2010/06/03 Mean Anomaly: 61.86174 +/- 51.904 Argument of Peri: 100.17565 +/- 12.894 Long of Asc Node: 48.28129 +/- 0.298 Inclination: 7.80959 +/- 0.105 Eccentricity: 0.33818713 +/- 0.5194 Semi-Major Axis: 50.04891483 +/- 18.6272 Time of Perihelion: 2433127.1221 +/- 13919.7 Perihelion: 33.12301610 +/- 28.7711 Aphelion: 66.97481356 +/- 36.0159 Period (y) 354.0790 +/- 197.67 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -16.68688274 +/- 0.0434 Ecliptic Y -44.31280410 +/- 0.1137 Ecliptic Z -2.33621522 +/- 0.0061 Ecliptic XDOT 0.00194602 +/- 0.0005 Ecliptic YDOT -0.00163185 +/- 0.0013 Ecliptic ZDOT -0.00034816 +/- 0.0001 # Distances at JD0 (AU) Heliocenter to KBO 47.40816980 +/- 0.1073 Geocenter to KBO 46.41217207 +/- 0.1218 # Hcoef: 8.89
The following table shows the complete astrometric record for 10LK109. 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 (10LK109) followed by the observatory code and reference code for the source of the astrometry.
2010 06 11.26308 16 27 48.19 -24 40 12.2 25.1R 10LK109 568 C~0JB9 2010 06 11.26623 16 27 48.16 -24 40 12.2 10LK109 568 C~0JB9 2010 06 11.26727 16 27 48.13 -24 40 12.1 10LK109 568 C~0JB9 2010 06 11.41045 16 27 47.49 -24 40 10.8 10LK109 568 C~0JB9 2010 06 11.41148 16 27 47.48 -24 40 10.9 10LK109 568 C~0JB9 2010 06 11.45280 16 27 47.28 -24 40 10.6 10LK109 568 C~0JB9 2010 06 11.45389 16 27 47.28 -24 40 10.4 10LK109 568 C~0JB9 2010 06 11.55220 16 27 46.89 -24 40 08.7 10LK109 568 C~0JB9 2010 06 13.38131 16 27 38.47 -24 39 52.5 10LK109 568 C~0JB9 2010 06 13.38235 16 27 38.47 -24 39 52.4 10LK109 568 C~0JB9 2010 06 13.42221 16 27 38.28 -24 39 52.1 10LK109 568 C~0JB9 2010 09 02.25183 16 24 35.52 -24 31 18.9 25.6R 10LK109 568 C~0QjJ 2010 09 04.23989 16 24 37.62 -24 31 18.5 10LK109 568 C~0QjJ
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 -0.09
2 0.0000 -0.40 -0.05 -0.06 -0.15
3 0.0000 -0.82 -0.40 -0.03 -0.12
4 0.0004 -9.64 -0.01 -0.11 -0.05
5 0.0004 -9.76 -0.06 -0.23 -0.17
6 0.0005 -12.50 -0.14 -0.35 -0.27
7 0.0005 -12.53 -0.10 -0.16 -0.07
8 0.0008 -18.05 0.70 0.69 0.83
9 0.0058 -133.95 -0.04 -1.22 -0.00
10 0.0058 -133.96 0.01 -1.12 0.10
11 0.0059 -136.57 -0.05 -1.23 0.02
12 0.2272 -2679.31 0.01 109.19 -0.18
13 0.2327 -2651.09 -0.01 114.22 0.17
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.
10LK109 quality flag:0 Type: ERR2LARGE ERR2LARGE ERR2LARGE axisobj 0.000 0.000 0.000 ecceobj -1.000 -1.000 -1.000 incobj -1.000 -1.000 -1.000 qmin 0.000 0.000 0.000 qmax 0.000 0.000 0.000 amean 0.000 0.000 0.000 amin 0.000 0.000 0.000 amax 0.000 0.000 0.000 emean 0.000 0.000 0.000 emin 0.000 0.000 0.000 emax 0.000 0.000 0.000 imean 0.000 0.000 0.000 imin 0.000 0.000 0.000 imax 0.000 0.000 0.000 excite_mean 0.000 0.000 0.000 fracstop 0.000 0.000 0.000 cjmean 0.000 0.000 0.000 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 0.0 0.0 0.0 kozaiamp 0.0 0.0 0.0