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: 04MK10
# Created Tue May 7 01:11:50 2024
# Orbit generated from Bernstein formalism
# Fitting 8 observations of 8
# Arc: 50.95d
# First observation: 2004/06/22
# Last observation: 2004/08/12
Preliminary a, adot, b, bdot, g, gdot:
-0.000000 0.037375 -0.000001 -0.004040 0.027950 0.000000
# WARNING Fitting with energy constraint
# Chi-squared of fit: 2.07 DOF: 11 RMS: 0.09
# Min/Max residuals: -0.25 0.15
# Exact a, adot, b, bdot, g, gdot:
1.773573E-05 2.981678E-02 -3.253105E-06 -4.294687E-03 2.674589E-02 4.811015E-03
# Covariance matrix:
1.8817E-12 1.9519E-09 -7.8848E-14 5.7607E-11 3.4550E-10 -1.0753E-08
1.9519E-09 2.7717E-06 -1.2135E-10 8.6552E-08 4.6965E-07 -2.2200E-05
-7.8848E-14 -1.2135E-10 3.0717E-13 -6.1510E-12 -2.0086E-11 1.1345E-09
5.7607E-11 8.6552E-08 -6.1510E-12 2.8039E-09 1.4423E-08 -7.7599E-07
3.4550E-10 4.6965E-07 -2.0086E-11 1.4423E-08 8.0602E-08 -3.4136E-06
-1.0753E-08 -2.2200E-05 1.1345E-09 -7.7599E-07 -3.4136E-06 2.9648E-04
# lat0 lon0 xBary yBary zBary JD0
2.636909 -93.669045 -0.090881 0.046703 -1.013033 2453178.885263
# Heliocentric elements and errors
Epoch: 2453170.5000 = 2004/06/14
Mean Anomaly: 21.59759 +/- 47.785
Argument of Peri: 121.35121 +/- 107.269
Long of Asc Node: 103.72263 +/- 1.056
Inclination: 8.59274 +/- 0.504
Eccentricity: 0.30773376 +/- 0.4033
Semi-Major Axis: 52.23862479 +/- 11.7838
Time of Perihelion: 2444897.0070 +/- 18090.0
Perihelion: 36.16303648 +/- 22.5939
Aphelion: 68.31421309 +/- 26.1038
Period (y) 377.5685 +/- 127.76
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -2.36764090 +/- 0.0254
Ecliptic Y -38.28901002 +/- 0.3956
Ecliptic Z 1.72004837 +/- 0.0183
Ecliptic XDOT 0.00301078 +/- 0.0002
Ecliptic YDOT -0.00071344 +/- 0.0018
Ecliptic ZDOT -0.00041639 +/- 0.0001
# Distances at JD0 (AU)
Heliocenter to KBO 38.40068460 +/- 0.3945
Geocenter to KBO 37.38892487 +/- 0.3969
# Hcoef: 8.03
The following table shows the complete astrometric record for 04MK10. 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 (04MK10) followed by the observatory code and reference code for the source of the astrometry.
2004 06 22.38452 17 44 19.24 -20 45 08.9 23.5R 04MK10 568 C~3yKj 2004 06 22.48651 17 44 18.68 -20 45 09.0 24.8R 04MK10 568 C~3yKj 2004 06 23.37791 17 44 13.85 -20 45 09.8 23.6R 04MK10 568 C~3yKj 2004 06 23.47754 17 44 13.29 -20 45 10.1 23.1R 04MK10 568 C~3yKj 2004 06 24.53606 17 44 07.55 -20 45 10.7 23.4R 04MK10 568 C~3yKj 2004 08 11.27025 17 40 38.95 -20 47 15.3 24.0R 04MK10 568 C~3yKj 2004 08 11.35803 17 40 38.70 -20 47 15.7 23.5R 04MK10 568 C~3yKj 2004 08 12.33784 17 40 36.10 -20 47 20.2 22.3R 04MK10 568 C~3yKj
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 -0.02 0.00 0.15
2 0.0003 -7.85 0.04 -0.31 0.12
3 0.0027 -75.55 0.08 -2.96 -0.02
4 0.0030 -83.40 -0.05 -3.48 -0.25
5 0.0059 -163.86 -0.05 -6.29 -0.00
6 0.1366 -3084.64 0.03 -219.23 0.04
7 0.1368 -3088.13 -0.02 -219.75 0.02
8 0.1395 -3124.43 -0.01 -225.45 -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.
04MK10 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