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: 04LT32
# Created Wed Nov 27 02:08:35 2024
# Orbit generated from Bernstein formalism
# Fitting 12 observations of 12
# Arc: 1.15y
# First observation: 2004/06/09
# Last observation: 2005/08/03
Preliminary a, adot, b, bdot, g, gdot:
-0.000001 0.024098 -0.000001 -0.000938 0.024349 0.000000
# Chi-squared of fit: 11.62 DOF: 18 RMS: 0.17
# Min/Max residuals: -0.54 0.21
# Exact a, adot, b, bdot, g, gdot:
1.608473E-05 2.422449E-02 -1.220448E-06 -9.521675E-04 2.441998E-02 6.265095E-03
# Covariance matrix:
3.4071E-13 6.7108E-12 3.2204E-14 -8.9283E-13 3.1115E-12 6.8704E-10
6.7108E-12 1.4765E-09 7.1485E-12 -2.0124E-10 5.7703E-10 1.5419E-07
3.2204E-14 7.1485E-12 2.3203E-13 -1.1582E-12 2.7902E-12 7.4712E-10
-8.9283E-13 -2.0124E-10 -1.1582E-12 2.7911E-11 -7.8496E-11 -2.1037E-08
3.1115E-12 5.7703E-10 2.7902E-12 -7.8496E-11 2.2714E-10 6.0155E-08
6.8704E-10 1.5419E-07 7.4712E-10 -2.1037E-08 6.0155E-08 1.6118E-05
# lat0 lon0 xBary yBary zBary JD0
2.302032 -89.800665 0.194764 0.040103 -0.996583 2453165.988353
# Heliocentric elements and errors
Epoch: 2453160.5000 = 2004/06/04
Mean Anomaly: 50.54858 +/- 9.211
Argument of Peri: 54.83297 +/- 5.787
Long of Asc Node: 135.14459 +/- 0.032
Inclination: 3.16475 +/- 0.002
Eccentricity: 0.27270398 +/- 0.1714
Semi-Major Axis: 47.48095153 +/- 4.9061
Time of Perihelion: 2436380.8067 +/- 1608.1
Perihelion: 34.53270712 +/- 8.8881
Aphelion: 60.42919595 +/- 10.2594
Period (y) 327.1804 +/- 50.71
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -0.05224945 +/- 0.0001
Ecliptic Y -41.91308984 +/- 0.0253
Ecliptic Z 1.64484339 +/- 0.0010
Ecliptic XDOT 0.00271586 +/- 0.0000
Ecliptic YDOT -0.00070366 +/- 0.0004
Ecliptic ZDOT -0.00007833 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 41.94538520 +/- 0.0252
Geocenter to KBO 40.95008048 +/- 0.0253
# Hcoef: 6.89
The following table shows the complete astrometric record for 04LT32. 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 (04LT32) followed by the observatory code and reference code for the source of the astrometry.
2004 06 09.48761 18 00 51.25 -21 08 13.6 22.6R 04LT32 568 C~3xp4 2004 06 09.56089 18 00 50.88 -21 08 13.6 22.7R 04LT32 568 C~3xp4 2004 06 10.51628 18 00 46.09 -21 08 13.5 22.6R 04LT32 568 C~3xp4 2004 06 11.53096 18 00 41.01 -21 08 13.6 22.9R 04LT32 568 C~3xp4 2004 06 11.60875 18 00 40.62 -21 08 13.5 23.1R 04LT32 568 C~3xp4 2004 07 16.42772 17 57 47.64 -21 08 44.7 22.7R 04LT32 568 C~3xp4 2004 07 17.39514 17 57 43.26 -21 08 46.5 23.7R 04LT32 568 C~3xp4 2004 07 17.48962 17 57 42.84 -21 08 47.0 22.8R 04LT32 568 C~3xp4 2005 08 02.34380 18 02 33.79 -21 12 35.6 22.5R 04LT32 568 C~3xp4 2005 08 02.46176 18 02 33.35 -21 12 36.0 22.8R 04LT32 568 C~3xp4 2005 08 03.34625 18 02 30.13 -21 12 38.8 22.5R 04LT32 568 C~3xp4 2005 08 03.43045 18 02 29.82 -21 12 39.0 22.5R 04LT32 568 C~3xp4
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 -0.08 0.00 0.12
2 0.0002 -5.18 -0.05 0.01 0.11
3 0.0028 -72.19 -0.19 0.20 0.19
4 0.0056 -143.27 0.11 0.19 0.11
5 0.0058 -148.72 0.21 0.30 0.19
6 0.1011 -2568.88 0.05 -33.48 -0.07
7 0.1038 -2630.16 -0.11 -35.48 -0.18
8 0.1040 -2636.03 0.06 -36.00 -0.54
9 1.1468 1433.54 0.15 -266.06 0.19
10 1.1471 1427.39 0.16 -266.44 0.10
11 1.1495 1382.34 -0.15 -269.05 -0.12
12 1.1497 1378.01 -0.16 -269.23 -0.10
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.
04LT32 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