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: 03MM13
# Created Wed Nov 27 02:08:25 2024
# Orbit generated from Bernstein formalism
# Fitting 8 observations of 8
# Arc: 66.00d
# First observation: 2003/06/25
# Last observation: 2003/08/30
Preliminary a, adot, b, bdot, g, gdot:
-0.000000 0.031717 -0.000001 0.000636 0.024979 0.000000
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# WARNING Fitting with energy constraint
# Chi-squared of fit: 3.76 DOF: 11 RMS: 0.12
# Min/Max residuals: -0.23 0.13
# Exact a, adot, b, bdot, g, gdot:
2.003401E-05 3.152830E-02 -2.341091E-07 6.274297E-04 2.471164E-02 -2.047221E-03
# Covariance matrix:
2.1992E-12 2.9105E-09 -5.3060E-15 -4.3653E-12 5.7288E-10 6.5063E-09
2.9105E-09 4.9571E-06 -9.0396E-12 -7.4609E-09 9.7389E-07 1.0799E-05
-5.3060E-15 -9.0396E-12 4.8689E-13 -2.7115E-12 -1.7644E-12 -1.6234E-11
-4.3653E-12 -7.4609E-09 -2.7115E-12 3.6759E-11 -1.4312E-09 -5.8976E-09
5.7288E-10 9.7389E-07 -1.7644E-12 -1.4312E-09 1.9229E-07 2.4070E-06
6.5063E-09 1.0799E-05 -1.6234E-11 -5.8976E-09 2.4070E-06 1.0878E-04
# lat0 lon0 xBary yBary zBary JD0
0.188330 -27.844455 0.870814 0.001741 -0.532323 2452815.973802
# Heliocentric elements and errors
Epoch: 2452810.5000 = 2003/06/20
Mean Anomaly: 358.40953 +/- 6.041
Argument of Peri: 21.32740 +/- 45.856
Long of Asc Node: 321.77177 +/- 0.733
Inclination: 1.16620 +/- 0.090
Eccentricity: 0.69442815 +/- 0.1365
Semi-Major Axis: 132.95573508 +/- 56.3204
Time of Perihelion: 2455284.4053 +/- 9264.4
Perihelion: 40.62753002 +/- 25.0065
Aphelion: 225.28394014 +/- 97.1400
Period (y) 1533.0941 +/- 974.13
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 35.84313259 +/- 0.6349
Ecliptic Y -19.91477506 +/- 0.3354
Ecliptic Z 0.13304131 +/- 0.0024
Ecliptic XDOT 0.00142502 +/- 0.0011
Ecliptic YDOT 0.00318939 +/- 0.0005
Ecliptic ZDOT 0.00006895 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 41.00422075 +/- 0.5784
Geocenter to KBO 40.46676024 +/- 0.7181
# Hcoef: 7.29
The following table shows the complete astrometric record for 03MM13. 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 (03MM13) followed by the observatory code and reference code for the source of the astrometry.
2003 06 25.473059 22 16 17.90 -10 31 53.0 03MM13 568 C~5V8r 2003 06 25.523967 22 16 17.81 -10 31 53.5 03MM13 568 C~5V8r 2003 06 25.575008 22 16 17.72 -10 31 54.3 03MM13 568 C~5V8r 2003 08 29.400043 22 12 27.20 -10 52 56.0 23.0R 03MM13 568 C~5V8r 2003 08 29.422692 22 12 27.10 -10 52 56.6 03MM13 568 C~5V8r 2003 08 29.443863 22 12 27.00 -10 52 57.1 03MM13 568 C~5V8r 2003 08 30.451166 22 12 22.54 -10 53 21.5 03MM13 568 C~5V8r 2003 08 30.473363 22 12 22.44 -10 53 22.1 03MM13 568 C~5V8r
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 0.03 0.00 0.13
2 0.0001 -1.42 0.03 0.01 0.10
3 0.0003 -2.94 -0.06 -0.26 -0.23
4 0.1778 -3627.48 0.05 31.40 -0.03
5 0.1778 -3629.07 0.06 31.37 -0.09
6 0.1779 -3630.62 0.01 31.42 -0.05
7 0.1806 -3700.72 -0.04 31.92 0.11
8 0.1807 -3702.31 -0.07 31.88 0.05
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.
03MM13 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