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: 04MN10
# Created Wed Nov 27 02:08:36 2024
# Orbit generated from Bernstein formalism
# Fitting 6 observations of 6
# Arc: 54.87d
# First observation: 2004/06/16
# Last observation: 2004/08/10
Preliminary a, adot, b, bdot, g, gdot:
-0.000000 0.038259 -0.000001 -0.002995 0.028840 0.000000
# WARNING Fitting with energy constraint
# Chi-squared of fit: 0.20 DOF: 7 RMS: 0.03
# Min/Max residuals: -0.06 0.08
# Exact a, adot, b, bdot, g, gdot:
1.654989E-05 2.852097E-02 -2.192764E-06 -3.109114E-03 2.729461E-02 2.316781E-03
# Covariance matrix:
3.9054E-12 6.1699E-09 -1.1814E-13 7.1469E-11 9.8534E-10 -3.6917E-08
6.1699E-09 1.3007E-05 -2.6311E-10 1.6414E-07 1.9857E-06 -1.0498E-04
-1.1814E-13 -2.6311E-10 5.0347E-13 -6.8099E-12 -3.9563E-11 2.3059E-09
7.1469E-11 1.6414E-07 -6.8099E-12 2.2043E-09 2.4481E-08 -1.4989E-06
9.8534E-10 1.9857E-06 -3.9563E-11 2.4481E-08 3.0700E-07 -1.4867E-05
-3.6917E-08 -1.0498E-04 2.3059E-09 -1.4989E-06 -1.4867E-05 1.1964E-03
# lat0 lon0 xBary yBary zBary JD0
1.371032 -88.211168 0.105462 0.024258 -1.011636 2453172.995793
# Heliocentric elements and errors
Epoch: 2453170.5000 = 2004/06/14
Mean Anomaly: 48.99985 +/- 330.544
Argument of Peri: 109.54127 +/- 104.913
Long of Asc Node: 103.68304 +/- 1.540
Inclination: 6.36059 +/- 0.799
Eccentricity: 0.09940881 +/- 0.9917
Semi-Major Axis: 40.00770062 +/- 4.4633
Time of Perihelion: 2440589.7638 +/- 84841.1
Perihelion: 36.03058256 +/- 39.8793
Aphelion: 43.98481869 +/- 39.9785
Period (y) 253.0601 +/- 42.35
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 1.06613850 +/- 0.0232
Ecliptic Y -37.62193842 +/- 0.7432
Ecliptic Z 0.87656812 +/- 0.0178
Ecliptic XDOT 0.00286451 +/- 0.0002
Ecliptic YDOT -0.00015734 +/- 0.0035
Ecliptic ZDOT -0.00030610 +/- 0.0001
# Distances at JD0 (AU)
Heliocenter to KBO 37.64724789 +/- 0.7427
Geocenter to KBO 36.63727562 +/- 0.7437
# Hcoef: 8.02
The following table shows the complete astrometric record for 04MN10. 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 (04MN10) followed by the observatory code and reference code for the source of the astrometry.
2004 06 16.49505 18 07 43.10 -22 03 22.6 23.5R 04MN10 568 C~3z1h 2004 06 17.46733 18 07 37.60 -22 03 25.2 23.4R 04MN10 568 C~3z1h 2004 06 17.53623 18 07 37.20 -22 03 25.4 23.4R 04MN10 568 C~3z1h 2004 08 09.31163 18 03 12.17 -22 06 12.4 23.4R 04MN10 568 C~3z1h 2004 08 09.38083 18 03 11.92 -22 06 12.6 23.5R 04MN10 568 C~3z1h 2004 08 10.36447 18 03 08.51 -22 06 16.2 23.4R 04MN10 568 C~3z1h
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 -0.01 0.00 0.08
2 0.0027 -76.49 0.02 -1.58 -0.02
3 0.0029 -82.05 -0.02 -1.71 -0.06
4 0.1473 -3767.78 -0.00 -133.29 -0.01
5 0.1475 -3771.26 -0.00 -133.47 0.03
6 0.1502 -3818.69 0.01 -136.79 -0.01
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.
04MN10 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