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: 04MM10
# Created Fri Nov 1 01:08:29 2024
# Orbit generated from Bernstein formalism
# Fitting 7 observations of 7
# Arc: 21.70d
# First observation: 2004/06/23
# Last observation: 2004/07/15
Preliminary a, adot, b, bdot, g, gdot:
0.000001 0.042712 -0.000002 0.000387 0.031459 0.000000
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# WARNING Fitting with energy constraint
# Chi-squared of fit: 5.16 DOF: 9 RMS: 0.15
# Min/Max residuals: -0.23 0.33
# Exact a, adot, b, bdot, g, gdot:
1.820023E-05 3.217404E-02 -1.417237E-06 3.508422E-04 2.974144E-02 -8.649809E-03
# Covariance matrix:
1.8013E-11 2.9004E-08 -6.6364E-14 1.0011E-10 4.9006E-09 1.1867E-08
2.9004E-08 4.8086E-05 -1.1001E-10 1.6576E-07 8.1043E-06 6.8655E-06
-6.6364E-14 -1.1001E-10 3.8562E-13 -7.3141E-12 -1.8540E-11 -1.5352E-11
1.0011E-10 1.6576E-07 -7.3141E-12 8.4613E-10 2.7947E-08 3.0046E-08
4.9006E-09 8.1043E-06 -1.8540E-11 2.7947E-08 1.3669E-06 1.8465E-06
1.1867E-08 6.8655E-06 -1.5352E-11 3.0046E-08 1.8465E-06 4.7955E-04
# lat0 lon0 xBary yBary zBary JD0
0.764805 -91.713372 -0.076218 0.013607 -1.015344 2453180.066183
# Heliocentric elements and errors
Epoch: 2453180.5000 = 2004/06/24
Mean Anomaly: 305.70920 +/- 61.919
Argument of Peri: 134.64886 +/- 64.957
Long of Asc Node: 218.17330 +/- 4.371
Inclination: 0.96579 +/- 0.062
Eccentricity: 0.27271621 +/- 0.6971
Semi-Major Axis: 38.41396286 +/- 19.5579
Time of Perihelion: 2466295.1243 +/- 11109.0
Perihelion: 27.93785260 +/- 30.3211
Aphelion: 48.89007312 +/- 36.5600
Period (y) 238.0904 +/- 181.83
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -0.96279304 +/- 0.0396
Ecliptic Y -34.62071522 +/- 1.3210
Ecliptic Z 0.44878437 +/- 0.0176
Ecliptic XDOT 0.00298190 +/- 0.0005
Ecliptic YDOT 0.00070072 +/- 0.0020
Ecliptic ZDOT 0.00002178 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 34.63700767 +/- 1.3204
Geocenter to KBO 33.62312114 +/- 1.3217
# Hcoef: 7.20
The following table shows the complete astrometric record for 04MM10. 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 (04MM10) followed by the observatory code and reference code for the source of the astrometry.
2004 06 23.56544 17 52 34.41 -22 39 48.4 04MM10 568 C~3z1h 2004 06 24.39522 17 52 29.33 -22 39 47.8 22.1R 04MM10 568 C~3z1h 2004 06 24.48577 17 52 28.77 -22 39 47.8 22.2R 04MM10 568 C~3z1h 2004 06 24.58000 17 52 28.17 -22 39 47.7 22.6R 04MM10 568 C~3z1h 2004 07 14.30860 17 50 31.75 -22 39 26.7 22.1R 04MM10 568 C~3z1h 2004 07 14.43385 17 50 31.05 -22 39 26.5 22.2R 04MM10 568 C~3z1h 2004 07 15.26170 17 50 26.55 -22 39 26.0 22.1R 04MM10 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 -0.23 0.00 0.33
2 0.0023 -70.32 0.06 -0.31 -0.02
3 0.0025 -78.07 0.17 -0.41 -0.14
4 0.0028 -86.37 0.01 -0.42 -0.19
5 0.0568 -1698.04 -0.11 -3.10 0.02
6 0.0571 -1707.73 -0.07 -3.06 0.11
7 0.0594 -1770.03 0.17 -3.58 -0.11
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.
04MM10 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