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: 04LZ32
# Created Tue May 7 01:11:48 2024
# Orbit generated from Bernstein formalism
# Fitting 7 observations of 7
# Arc: 61.84d
# First observation: 2004/06/09
# Last observation: 2004/08/10
Preliminary a, adot, b, bdot, g, gdot:
-0.000000 0.049451 0.000000 -0.005669 0.033267 0.000000
# WARNING Fitting with energy constraint
# Chi-squared of fit: 1.39 DOF: 9 RMS: 0.08
# Min/Max residuals: -0.18 0.11
# Exact a, adot, b, bdot, g, gdot:
1.865599E-05 3.701170E-02 -2.550353E-06 -5.766047E-03 3.126674E-02 -5.391821E-03
# Covariance matrix:
1.8673E-12 2.7383E-09 -2.6039E-14 1.6353E-11 4.6137E-10 -7.4589E-09
2.7383E-09 5.8712E-06 -6.6775E-11 4.7234E-08 9.3725E-07 -2.8294E-05
-2.6039E-14 -6.6775E-11 3.7255E-13 -2.9164E-12 -1.0093E-11 4.5807E-10
1.6353E-11 4.7234E-08 -2.9164E-12 5.6129E-10 6.9118E-09 -3.7890E-07
4.6137E-10 9.3725E-07 -1.0093E-11 6.9118E-09 1.5225E-07 -3.8823E-06
-7.4589E-09 -2.8294E-05 4.5807E-10 -3.7890E-07 -3.8823E-06 2.8905E-04
# lat0 lon0 xBary yBary zBary JD0
0.616307 -90.102431 0.189686 0.010779 -0.998309 2453165.977833
# Heliocentric elements and errors
Epoch: 2453160.5000 = 2004/06/04
Mean Anomaly: 335.36454 +/- 37.944
Argument of Peri: 218.26276 +/- 78.242
Long of Asc Node: 93.38682 +/- 0.248
Inclination: 8.88745 +/- 0.579
Eccentricity: 0.26328383 +/- 0.4249
Semi-Major Axis: 42.35520577 +/- 12.8887
Time of Perihelion: 2460050.4618 +/- 10135.5
Perihelion: 31.20376478 +/- 20.3497
Aphelion: 53.50664677 +/- 24.2705
Period (y) 275.6566 +/- 125.82
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -0.25201537 +/- 0.0007
Ecliptic Y -32.97723759 +/- 0.3991
Ecliptic Z 0.34398037 +/- 0.0043
Ecliptic XDOT 0.00323922 +/- 0.0002
Ecliptic YDOT 0.00045390 +/- 0.0015
Ecliptic ZDOT -0.00050983 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 32.97999444 +/- 0.3991
Geocenter to KBO 31.98286714 +/- 0.3991
# Hcoef: 7.91
The following table shows the complete astrometric record for 04LZ32. 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 (04LZ32) followed by the observatory code and reference code for the source of the astrometry.
2004 06 09.47709 17 59 33.33 -22 49 22.6 22.7R 04LZ32 568 C~3z1g 2004 06 09.55044 17 59 32.86 -22 49 22.8 22.8R 04LZ32 568 C~3z1g 2004 06 10.50578 17 59 26.90 -22 49 25.5 22.7R 04LZ32 568 C~3z1g 2004 06 10.58996 17 59 26.36 -22 49 25.7 22.7R 04LZ32 568 C~3z1g 2004 08 09.26757 17 53 51.59 -22 52 33.2 22.8R 04LZ32 568 C~3z1g 2004 08 09.33682 17 53 51.33 -22 52 33.4 22.7R 04LZ32 568 C~3z1g 2004 08 10.31427 17 53 47.80 -22 52 37.1 22.9R 04LZ32 568 C~3z1g
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 0.0002 -6.50 -0.05 -0.21 -0.07
3 0.0028 -88.90 0.05 -2.98 0.06
4 0.0030 -96.36 -0.01 -3.18 0.08
5 0.1664 -4723.52 -0.02 -217.06 0.07
6 0.1666 -4727.11 0.01 -217.30 0.11
7 0.1693 -4775.88 0.02 -221.51 -0.18
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.
04LZ32 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