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: 04LU32
# Created Tue May 7 01:11:48 2024
# Orbit generated from Bernstein formalism
# Fitting 7 observations of 7
# Arc: 1.15y
# First observation: 2004/06/09
# Last observation: 2005/08/03
Preliminary a, adot, b, bdot, g, gdot:
0.000001 0.021780 -0.000000 -0.000692 0.023061 0.000000
# Chi-squared of fit: 5.20 DOF: 8 RMS: 0.15
# Min/Max residuals: -0.29 0.32
# Exact a, adot, b, bdot, g, gdot:
1.583630E-05 2.183643E-02 -5.096519E-07 -6.989333E-04 2.308518E-02 3.228767E-03
# Covariance matrix:
8.7569E-13 5.9803E-11 -1.3427E-15 -2.1200E-12 6.2663E-11 2.6170E-09
5.9803E-11 7.9765E-09 -5.1727E-14 -3.9265E-10 7.4966E-09 4.6512E-07
-1.3427E-15 -5.1727E-14 3.6774E-13 -3.3270E-13 -1.5571E-13 1.2461E-11
-2.1200E-12 -3.9265E-10 -3.3270E-13 3.2875E-11 -2.7466E-10 -3.6541E-08
6.2663E-11 7.4966E-09 -1.5571E-13 -2.7466E-10 7.7375E-09 3.3723E-07
2.6170E-09 4.6512E-07 1.2461E-11 -3.6541E-08 3.3723E-07 4.1568E-05
# lat0 lon0 xBary yBary zBary JD0
1.386330 -88.918659 0.209741 0.024098 -0.994058 2453166.009363
# Heliocentric elements and errors
Epoch: 2453160.5000 = 2004/06/04
Mean Anomaly: 71.48591 +/- 23.299
Argument of Peri: 55.21111 +/- 3.222
Long of Asc Node: 127.41144 +/- 0.093
Inclination: 2.27205 +/- 0.005
Eccentricity: 0.14648125 +/- 0.2962
Semi-Major Axis: 45.49495814 +/- 4.0712
Time of Perihelion: 2430903.7731 +/- 6610.3
Perihelion: 38.83080002 +/- 13.9164
Aphelion: 52.15911626 +/- 14.2610
Period (y) 306.8691 +/- 41.19
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 0.62302675 +/- 0.0031
Ecliptic Y -44.29379679 +/- 0.1650
Ecliptic Z 1.04803615 +/- 0.0040
Ecliptic XDOT 0.00259404 +/- 0.0000
Ecliptic YDOT -0.00034285 +/- 0.0008
Ecliptic ZDOT -0.00007348 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 44.31057409 +/- 0.1649
Geocenter to KBO 43.31782581 +/- 0.1651
# Hcoef: 8.60
The following table shows the complete astrometric record for 04LU32. 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 (04LU32) followed by the observatory code and reference code for the source of the astrometry.
2004 06 09.50862 18 04 39.92 -22 02 54.9 24.5R 04LU32 568 C~3yKj 2004 06 09.59257 18 04 39.54 -22 02 54.8 24.2R 04LU32 568 C~3yKj 2004 06 10.49530 18 04 35.21 -22 02 55.4 24.1R 04LU32 568 C~3yKj 2004 06 10.57923 18 04 34.80 -22 02 55.6 24.7R 04LU32 568 C~3yKj 2005 08 02.36067 18 05 58.89 -22 05 51.9 26.1R 04LU32 568 C~3yKj 2005 08 03.36204 18 05 55.32 -22 05 54.6 24.4R 04LU32 568 C~3yKj 2005 08 03.44734 18 05 55.03 -22 05 54.5 25.1R 04LU32 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 -0.18 0.00 0.01
2 0.0002 -5.28 0.20 0.14 0.13
3 0.0027 -65.48 -0.00 0.03 0.02
4 0.0029 -71.19 -0.02 -0.13 -0.15
5 1.1468 1096.07 0.00 -187.07 0.32
6 1.1495 1046.43 -0.12 -189.26 -0.29
7 1.1497 1042.40 0.12 -189.12 -0.03
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.
04LU32 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