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: 04DK64
# Created Sun Dec 22 02:08:36 2024
# Orbit generated from Bernstein formalism
# Fitting 5 observations of 5
# Arc: 18.91d
# First observation: 2004/02/26
# Last observation: 2004/03/16
Preliminary a, adot, b, bdot, g, gdot:
-0.000000 0.044351 0.000001 0.008656 0.029049 0.000000
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# WARNING Fitting with energy constraint
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# Chi-squared of fit: 1.09 DOF: 5 RMS: 0.08
# Min/Max residuals: -0.16 0.19
# Exact a, adot, b, bdot, g, gdot:
1.567435E-05 2.551641E-02 6.049941E-06 8.704616E-03 2.603711E-02 -1.254207E-03
# Covariance matrix:
3.9225E-11 6.4222E-08 -5.1834E-13 -1.3994E-10 1.0336E-08 1.0653E-07
6.4222E-08 1.0669E-04 -8.5791E-10 -2.3925E-07 1.7152E-05 1.6208E-04
-5.1834E-13 -8.5791E-10 5.0357E-13 -8.0236E-12 -1.3824E-10 -1.5874E-09
-1.3994E-10 -2.3925E-07 -8.0236E-12 1.3023E-09 -3.7738E-08 2.7155E-07
1.0336E-08 1.7152E-05 -1.3824E-10 -3.7738E-08 2.7591E-06 2.7639E-05
1.0653E-07 1.6208E-04 -1.5874E-09 2.7155E-07 2.7639E-05 1.6323E-03
# lat0 lon0 xBary yBary zBary JD0
2.434520 169.712293 0.215224 0.040914 -0.961085 2453061.874943
# Heliocentric elements and errors
Epoch: 2453060.5000 = 2004/02/25
Mean Anomaly: 329.36282 +/- 10.093
Argument of Peri: 43.91794 +/- 186.243
Long of Asc Node: 162.45854 +/- 2.811
Inclination: 18.94959 +/- 7.073
Eccentricity: 0.09208264 +/- 0.8785
Semi-Major Axis: 42.64521253 +/- 22.1678
Time of Perihelion: 2461717.1544 +/- 206180.1
Perihelion: 38.71832875 +/- 42.5265
Aphelion: 46.57209631 +/- 44.6039
Period (y) 278.4926 +/- 217.15
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -38.66696580 +/- 2.4086
Ecliptic Y 7.23834875 +/- 0.4374
Ecliptic Z 1.63167438 +/- 0.1041
Ecliptic XDOT -0.00031495 +/- 0.0042
Ecliptic YDOT -0.00267712 +/- 0.0009
Ecliptic ZDOT 0.00090902 +/- 0.0002
# Distances at JD0 (AU)
Heliocenter to KBO 39.37245608 +/- 2.3668
Geocenter to KBO 38.40672704 +/- 2.4502
# Hcoef: 7.39
The following table shows the complete astrometric record for 04DK64. 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 (04DK64) followed by the observatory code and reference code for the source of the astrometry.
2004 02 26.37420 11 26 01.45 +06 18 44.3 22.9R 04DK64 695 Ck0899 2004 02 26.45335 11 26 01.09 +06 18 47.2 04DK64 695 Ck0899 2004 02 27.36964 11 25 56.92 +06 19 19.9 04DK64 695 Ck0899 2004 03 16.22871 11 24 33.31 +06 29 53.4 23.0R 04DK64 695 Ck4349 2004 03 16.28462 11 24 33.04 +06 29 55.3 04DK64 695 Ck4349
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 -0.04 0.00 -0.16
2 0.0002 -6.08 0.01 0.55 -0.03
3 0.0027 -76.10 0.02 6.13 0.19
4 0.0516 -1471.16 0.01 98.22 0.03
5 0.0518 -1475.61 -0.01 98.38 -0.04
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.
04DK64 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