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: 05CH81
# Created Thu May 24 01:37:30 2012
# Orbit generated from Bernstein formalism
# Fitting 22 observations of 22
# Arc: 5.10y
# First observation: 2005/02/10
# Last observation: 2010/03/20
Preliminary a, adot, b, bdot, g, gdot:
0.000017 0.032007 -0.000003 0.002793 0.027081 0.000000
# Chi-squared of fit: 42.75 DOF: 38 RMS: 0.25
# Min/Max residuals: -0.59 0.59
# Exact a, adot, b, bdot, g, gdot:
1.830644E-05 3.201237E-02 2.179309E-06 2.787644E-03 2.729928E-02 -1.743088E-04
# Covariance matrix:
3.1944E-13 -2.9030E-13 1.4912E-14 -2.6023E-14 2.9729E-13 -1.7980E-12
-2.9030E-13 4.1623E-13 -2.1745E-14 3.8946E-14 -2.2167E-13 2.6769E-12
1.4912E-14 -2.1745E-14 1.2639E-13 -3.7468E-14 1.6733E-14 -1.4945E-13
-2.6023E-14 3.8946E-14 -3.7468E-14 2.5251E-14 -2.6401E-14 2.6607E-13
2.9729E-13 -2.2167E-13 1.6733E-14 -2.6401E-14 9.2751E-13 -1.8635E-12
-1.7980E-12 2.6769E-12 -1.4945E-13 2.6607E-13 -1.8635E-12 1.8310E-11
# lat0 lon0 xBary yBary zBary JD0
1.319426 137.128075 -0.073906 0.022697 -0.980497 2453411.809733
# Heliocentric elements and errors
Epoch: 2453410.5000 = 2005/02/09
Mean Anomaly: 359.44593 +/- 0.015
Argument of Peri: 15.66280 +/- 0.031
Long of Asc Node: 122.78173 +/- 0.001
Inclination: 5.13174 +/- 0.000
Eccentricity: 0.32467609 +/- 0.0002
Semi-Major Axis: 55.69612679 +/- 0.0154
Time of Perihelion: 2453644.1679 +/- 6.4
Perihelion: 37.61292634 +/- 0.0138
Aphelion: 73.77932723 +/- 0.0223
Period (y) 415.6671 +/- 0.17
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -27.61270841 +/- 0.0009
Ecliptic Y 25.52835470 +/- 0.0009
Ecliptic Z 0.84354841 +/- 0.0000
Ecliptic XDOT -0.00216697 +/- 0.0000
Ecliptic YDOT -0.00237638 +/- 0.0000
Ecliptic ZDOT 0.00027916 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 37.61475951 +/- 0.0009
Geocenter to KBO 36.63100706 +/- 0.0013
# Hcoef: 8.69
The following table shows the complete astrometric record for 05CH81. 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 (05CH81) followed by the observatory code and reference code for the source of the astrometry.
2005 02 10.30899 09 19 58.88 +16 57 32.3 24.2g 05CH81 568 C~0X5e 2005 02 10.39196 09 19 58.44 +16 57 34.6 24.1g 05CH81 568 C~0X5e 2005 02 10.43152 09 19 58.22 +16 57 35.4 24.1g 05CH81 568 C~0X5e 2005 02 15.33214 09 19 32.58 +16 59 40.4 23.9g 05CH81 568 C~0X5e 2005 04 11.30482 09 16 05.72 +17 15 36.8 24.1i 05CH81 568 C~0X5e 2005 04 11.33442 09 16 05.68 +17 15 36.9 24.0i 05CH81 568 C~0X5e 2005 04 11.35929 09 16 05.63 +17 15 37.1 23.9i 05CH81 568 C~0X5e 2006 02 03.47735 09 28 06.21 +16 29 26.1 05CH81 568 C~0X5e 2006 02 06.32831 09 27 51.29 +16 30 42.8 05CH81 568 C~0X5e 2006 02 06.36907 09 27 51.08 +16 30 43.7 05CH81 568 C~0X5e 2006 02 06.40730 09 27 50.88 +16 30 44.7 23.8r 05CH81 568 C~0X5e 2006 03 02.22794 09 25 49.18 +16 40 47.3 24.0R 05CH81 695 C~0X5e 2006 03 02.28430 09 25 48.92 +16 40 48.5 05CH81 695 C~0X5e 2006 03 02.34040 09 25 48.65 +16 40 49.8 05CH81 695 C~0X5e 2007 02 14.46983 09 34 37.68 +16 08 17.4 05CH81 568 C~0X5e 2007 02 14.50376 09 34 37.50 +16 08 18.4 05CH81 568 C~0X5e 2007 02 14.53694 09 34 37.32 +16 08 19.3 05CH81 568 C~0X5e 2007 02 15.48068 09 34 32.42 +16 08 44.7 05CH81 568 C~0X5e 2010 03 19.15000 09 54 05.29 +14 59 35.3 05CH81 675 C~0X5e 2010 03 19.18255 09 54 05.16 +14 59 35.7 05CH81 675 C~0X5e 2010 03 20.14302 09 54 01.24 +14 59 55.9 05CH81 675 C~0X5e 2010 03 20.17381 09 54 01.10 +14 59 56.8 05CH81 675 C~0X5e
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 0.05 0.00 -0.12 2 0.0002 -6.71 0.06 0.27 0.05 3 0.0003 -9.96 0.02 0.07 -0.19 4 0.0138 -398.40 0.29 7.12 0.35 5 0.1643 -3514.41 -0.13 22.90 -0.04 6 0.1643 -3514.98 0.02 22.82 -0.09 7 0.1644 -3515.73 -0.11 22.80 -0.09 8 0.9806 7181.64 -0.21 564.69 0.00 9 0.9884 6953.56 -0.32 570.04 0.59 10 0.9885 6950.40 -0.16 569.95 0.43 11 0.9886 6947.35 -0.09 569.99 0.43 12 1.0539 5095.60 -0.09 594.70 -0.26 13 1.0540 5091.67 0.13 594.68 -0.30 14 1.0542 5087.58 0.16 594.70 -0.28 15 2.0100 12942.11 0.11 1157.04 -0.26 16 2.0101 12939.32 0.08 1157.15 -0.17 17 2.0102 12936.57 0.02 1157.17 -0.17 18 2.0128 12861.25 0.18 1158.47 -0.02 19 5.1002 30425.68 -0.59 2907.84 0.11 20 5.1003 30423.73 -0.37 2907.57 -0.13 21 5.1029 30362.14 0.58 2906.95 -0.01 22 5.1030 30359.87 0.34 2907.10 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.
05CH81 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 55.260 55.306 55.215 ecceobj 0.319 0.320 0.319 incobj 5.138 5.138 5.138 qmin 37.236 37.229 37.279 qmax 73.446 73.515 73.300 amean 55.101 55.106 55.075 amin 54.959 54.959 54.951 amax 55.370 55.401 55.309 emean 0.318 0.318 0.318 emin 0.311 0.311 0.311 emax 0.327 0.327 0.326 imean 3.424 3.365 3.460 imin 2.870 2.755 2.877 imax 4.121 4.097 4.110 excite_mean 0.324 0.323 0.323 fracstop 1.000 1.000 1.000 cjmean 3.107 3.108 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 171.2 171.5 171.8 kozaiamp 180.0 179.9 180.0