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: 04DG77
# Created Fri May 24 01:37:21 2013
# Orbit generated from Bernstein formalism
# Fitting 9 observations of 9
# Arc: 1.04y
# First observation: 2004/02/27
# Last observation: 2005/03/12
Preliminary a, adot, b, bdot, g, gdot:
-0.000013 0.013534 0.000006 -0.014878 0.022194 0.000000
# Chi-squared of fit: 9.40 DOF: 12 RMS: 0.18
# Min/Max residuals: -0.28 0.36
# Exact a, adot, b, bdot, g, gdot:
8.816666E-06 1.351252E-02 -1.083136E-05 -1.482553E-02 2.228017E-02 -2.292195E-03
# Covariance matrix:
5.4286E-13 4.1386E-13 6.9736E-14 -1.2804E-12 1.0259E-12 7.9320E-11
4.1386E-13 2.7887E-11 2.4093E-12 -4.4765E-11 1.3173E-11 2.7751E-09
6.9736E-14 2.4093E-12 4.9411E-13 -4.2787E-12 1.1881E-12 2.4670E-10
-1.2804E-12 -4.4765E-11 -4.2787E-12 7.4698E-11 -2.2032E-11 -4.5832E-09
1.0259E-12 1.3173E-11 1.1881E-12 -2.2032E-11 8.2898E-12 1.3657E-09
7.9320E-11 2.7751E-09 2.4670E-10 -4.5832E-09 1.3657E-09 2.8413E-07
# lat0 lon0 xBary yBary zBary JD0
1.583500 171.707180 0.232340 0.026535 -0.957841 2453062.843043
# Heliocentric elements and errors
Epoch: 2453060.5000 = 2004/02/25
Mean Anomaly: 256.13990 +/- 5.490
Argument of Peri: 294.82482 +/- 4.971
Long of Asc Node: 352.83193 +/- 0.000
Inclination: 47.56765 +/- 0.003
Eccentricity: 0.12288264 +/- 0.0227
Semi-Major Axis: 43.95815775 +/- 0.2186
Time of Perihelion: 2483772.2025 +/- 1607.2
Perihelion: 38.55646309 +/- 1.0142
Aphelion: 49.35985240 +/- 1.0257
Period (y) 291.4523 +/- 2.17
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -45.31510248 +/- 0.0057
Ecliptic Y 6.84128780 +/- 0.0009
Ecliptic Z 1.23981311 +/- 0.0001
Ecliptic XDOT -0.00001435 +/- 0.0001
Ecliptic YDOT -0.00168313 +/- 0.0000
Ecliptic ZDOT -0.00182875 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 45.84538000 +/- 0.0057
Geocenter to KBO 44.88296611 +/- 0.0058
# Hcoef: 7.14
The following table shows the complete astrometric record for 04DG77. 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 (04DG77) followed by the observatory code and reference code for the source of the astrometry.
2004 02 27.34230 11 32 02.28 +04 44 38.4 04DG77 695 Ck9975 2004 02 27.43654 11 32 01.84 +04 44 40.1 04DG77 695 Ck9975 2004 03 15.22329 11 30 44.65 +04 50 27.5 23.1R 04DG77 695 Ck9975 2004 03 15.31655 11 30 44.19 +04 50 29.1 04DG77 695 Ck9976 2004 04 22.35564 11 28 04.57 +05 01 15.9 23.7R 04DG77 568 Ck9976 2004 04 22.41931 11 28 04.37 +05 01 16.6 04DG77 568 Ck9976 2005 03 11.31189 11 32 35.37 +03 43 34.7 23.3R 04DG77 695 Cn0227 2005 03 12.26766 11 32 30.89 +03 43 54.7 04DG77 695 Cn0227 2005 03 12.35146 11 32 30.50 +03 43 56.2 04DG77 695 Cn0227
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 0.16 0.00 0.06 2 0.0003 -6.71 0.10 -1.04 -0.20 3 0.0462 -1203.96 -0.11 -137.32 0.26 4 0.0465 -1210.91 -0.28 -138.56 -0.16 5 0.1506 -3658.58 -0.09 -484.21 -0.04 6 0.1508 -3661.60 0.23 -484.74 0.07 7 1.0348 1902.29 0.36 -3170.48 0.14 8 1.0374 1832.78 -0.27 -3178.60 0.02 9 1.0377 1826.82 -0.10 -3179.52 -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.
04DG77 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 43.652 44.544 43.269 ecceobj 0.125 0.193 0.070 incobj 47.805 47.808 47.802 qmin 37.121 35.871 40.100 qmax 50.494 53.650 46.749 amean 43.793 44.732 43.414 amin 43.741 44.689 43.397 amax 43.843 44.777 43.433 emean 0.126 0.186 0.071 emin 0.105 0.175 0.066 emax 0.153 0.199 0.076 imean 48.327 48.426 48.323 imin 48.120 48.258 48.251 imax 48.501 48.573 48.387 excite_mean 0.758 0.771 0.750 fracstop 1.000 1.000 1.000 cjmean 2.277 2.261 2.285 libcent 0 -180.0 -180.0 125.6 libamp 0 -180.0 -180.0 93.4 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 166.0 153.4 143.3 kozaiamp 180.0 180.0 179.9