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: 10KR62 # Created Mon Oct 23 01:37:51 2017 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 5 observations of 6 # Arc: 1.26d # First observation: 2010/05/23 # Last observation: 2010/05/24 # Chi-squared of fit: 187.68 DOF: 4 RMS: 1.08 # Min/Max residuals: -1.38 2.22 # Exact a, adot, b, bdot, g, gdot: 5.312941E-05 1.477347E+00 1.256188E-05 2.693761E-01 3.739450E-01 5.613171E-01 # Covariance matrix: 2.8834E-12 5.7243E-09 -2.5721E-13 -2.6434E-08 -5.1159E-08 0.0000E+00 5.7243E-09 1.7492E-05 -7.4440E-10 -7.6503E-05 -1.4806E-04 0.0000E+00 -2.5721E-13 -7.4440E-10 8.4266E-13 3.0061E-09 6.3487E-09 0.0000E+00 -2.6434E-08 -7.6503E-05 3.0061E-09 3.3726E-04 6.5246E-04 0.0000E+00 -5.1159E-08 -1.4806E-04 6.3487E-09 6.5246E-04 1.2627E-03 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 6.7384E+00 # lat0 lon0 xBary yBary zBary JD0 -4.796455 -27.001948 1.012377 0.001534 0.018733 2455340.080256 # Heliocentric elements and errors Epoch: 2455340.0000 = 2010/05/23 Mean Anomaly: 359.89430 +/- 7.685 Argument of Peri: 330.55951 +/- 11.647 Long of Asc Node: 341.42458 +/- 15.927 Inclination: 9.13797 +/- 31.634 Eccentricity: 0.32629724 +/- 0.2318 Semi-Major Axis: 4.22458522 +/- 0.0305 Time of Perihelion: 2455340.9312 +/- 75.9 Perihelion: 2.84611473 +/- 0.9796 Aphelion: 5.60305571 +/- 0.9802 Period (y) 8.6833 +/- 0.09 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 1.90208966 +/- 0.0493 Ecliptic Y -2.10534449 +/- 0.0251 Ecliptic Z -0.22354671 +/- 0.0046 Ecliptic XDOT 0.00870833 +/- 0.0079 Ecliptic YDOT 0.00770913 +/- 0.0040 Ecliptic ZDOT 0.00162166 +/- 0.0007 # Distances at JD0 (AU) Heliocenter to KBO 2.84611920 +/- 0.0302 Geocenter to KBO 2.67411657 +/- 0.0555 # Hcoef: 0.00
The following table shows the complete astrometric record for 10KR62. 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 (10KR62) followed by the observatory code and reference code for the source of the astrometry.
2010 05 23.57949 22 26 55.07 -14 52 24.0 10KR62 C51 S~0I4v 2010 05 23.97640 22 27 16.57 -14 50 03.7 10KR62 C51 S~0I4v 2010 05 24.10871 22 27 23.66 -14 49 14.8 10KR62 C51 S~0I4v 2010 05 24.57184 22 27 48.61 -14 46 31.0 10KR62 C51 S~0I4v 2010 05 24.83644 22 28 02.82 -14 44 57.3 10KR62 C51 S~0I4v 2010 05 24.96875 22 28 10.09 -14 44 11.1 10KR62 C51 S~0I4v
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 ( 2.22) 0.00 ( 14.69) 2 0.0011 0.00 -0.05 0.00 -1.17 3 0.0014 0.00 -1.20 0.00 0.63 4 0.0027 0.00 -1.38 0.00 0.04 5 0.0034 0.00 -0.86 0.00 0.17 6 0.0038 0.00 2.22 0.00 -0.32
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.
10KR62 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 4.236 4.236 4.237 ecceobj 0.325 0.325 0.325 incobj 9.119 9.119 9.119 qmin 2.861 2.861 2.861 qmax 5.612 5.612 5.612 amean 4.236 4.236 4.236 amin 4.236 4.236 4.236 amax 4.236 4.236 4.236 emean 0.325 0.325 0.325 emin 0.325 0.325 0.325 emax 0.325 0.325 0.325 imean 10.129 10.129 10.129 imin 10.129 10.129 10.129 imax 10.129 10.129 10.129 excite_mean 0.369 0.369 0.369 fracstop 0.000 0.000 0.000 cjmean 7.803 7.803 7.803 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 330.4 330.4 330.4 kozaiamp 0.0 0.0 0.0