Orbit Fit and Astrometric record for 04LW31

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: 04LW31    
# Created Sun Nov 24 02:08:35 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     39 observations of     39
# Arc:  15.13y
# First observation: 2004/06/09
#  Last observation: 2019/07/29
# Chi-squared of fit:    13.40 DOF:     72 RMS:  0.10
# Min/Max residuals:    -0.24    0.35
# Exact a, adot, b, bdot, g, gdot:
  1.445443E-05  2.058283E-02 -1.241589E-06 -8.716154E-04  2.219586E-02 -1.588135E-03
# Covariance matrix:
  1.9360E-13 -7.8518E-14 -1.0247E-15  3.1095E-15  8.9160E-14 -2.2140E-13
 -7.8518E-14  2.5056E-13  4.6551E-15 -1.0999E-14  7.5958E-14  7.8171E-13
 -1.0247E-15  4.6551E-15  1.2934E-13 -9.0193E-15  2.0906E-15  1.4551E-14
  3.1095E-15 -1.0999E-14 -9.0193E-15  1.3017E-15 -3.2473E-15 -3.4429E-14
  8.9160E-14  7.5958E-14  2.0906E-15 -3.2473E-15  2.9437E-13  2.2983E-13
 -2.2140E-13  7.8171E-13  1.4551E-14 -3.4429E-14  2.2983E-13  2.4470E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
    1.813885  -90.522788    0.183743    0.031678   -0.998960  2453165.895673
# Heliocentric elements and errors
Epoch:              2453166.5000  =  2004/06/10
Mean Anomaly:          280.73112 +/-     0.043
Argument of Peri:      232.05580 +/-     0.056
Long of Asc Node:      125.40862 +/-     0.001
Inclination:             3.00541 +/-     0.000
Eccentricity:         0.07868363 +/-    0.0001
Semi-Major Axis:     46.44881570 +/-    0.0044
Time of Perihelion: 2478626.6303 +/-      18.9
Perihelion:          42.79405434 +/-    0.0053
Aphelion:            50.10357707 +/-    0.0059
Period (y)              316.5703 +/-      0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           -0.60704361 +/-    0.0000
Ecliptic Y          -46.02498566 +/-    0.0011
Ecliptic Z            1.42606016 +/-    0.0000
Ecliptic XDOT         0.00253802 +/-    0.0000
Ecliptic YDOT         0.00016224 +/-    0.0000
Ecliptic ZDOT        -0.00011354 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   46.05112608 +/-    0.0011
Geocenter to KBO     45.05351546 +/-    0.0011
# Hcoef:  7.22

The following table shows the complete astrometric record for 04LW31. 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 (04LW31) followed by the observatory code and reference code for the source of the astrometry.

2004 06  09.39493  17 57 45.099  -21 37 27.79  23.0R 04LW31    568  C~3cX6      
2004 06  10.36840  17 57 40.595  -21 37 27.66  23.0R 04LW31    568  C~3cX6      
2004 06  10.44383  17 57 40.239  -21 37 27.68  23.0R 04LW31    568  C~3cX6      
2004 06  11.38378  17 57 35.854  -21 37 27.66  23.1R 04LW31    568  C~3cX6      
2004 06  11.46896  17 57 35.450  -21 37 27.75  23.3R 04LW31    568  C~3cX6      
2004 07  14.39628  17 55 03.803  -21 37 40.30  23.0R 04LW31    568  C~3cX6      
2004 07  16.28349  17 54 55.843  -21 37 42.05  23.1R 04LW31    568  C~3cX6      
2004 07  16.37752  17 54 55.432  -21 37 41.90  23.1R 04LW31    568  C~3cX6      
2005 08  02.29890  17 58 55.721  -21 41 29.24  23.4R 04LW31    568  C~3cX6      
2005 08  02.41965  17 58 55.300  -21 41 29.55  23.7R 04LW31    568  C~3cX6      
2005 08  03.29572  17 58 52.381  -21 41 31.31  23.3R 04LW31    568  C~3cX6      
2005 08  03.38840  17 58 52.064  -21 41 31.50  23.2R 04LW31    568  C~3cX6      
2018 06  16.302743 19 10 00.671  -21 25 26.03  25.0V 04LW31    W84  C~3cX6      
2018 06  16.394172 19 10 00.254  -21 25 26.78  24.7V 04LW31    W84  C~3cX6      
2018 06  17.146435 19 09 56.982  -21 25 32.43  24.4V 04LW31    W84  C~3cX6      
2018 06  17.249310 19 09 56.515  -21 25 33.14  22.7V 04LW31    W84  C~3cX6      
2018 06  17.341011 19 09 56.107  -21 25 33.76  24.4V 04LW31    W84  C~3cX6      
2018 06  17.420918 19 09 55.744  -21 25 34.39  25.1V 04LW31    W84  C~3cX6      
2018 06  18.279551 19 09 51.959  -21 25 40.93  24.0V 04LW31    W84  C~3cX6      
2018 06  18.369111 19 09 51.552  -21 25 41.62  24.0V 04LW31    W84  C~3cX6      
2019 06  14.340514 19 15 28.723  -21 19 35.32        04LW31    304  C~3cX6      
2019 06  14.384841 19 15 28.542  -21 19 35.70        04LW31    304  C~3cX6      
2019 06  14.421257 19 15 28.375  -21 19 36.09        04LW31    304  C~3cX6      
2019 07  27.050992 19 12 11.202  -21 25 47.87        04LW31    304  C~3cX6      
2019 07  27.091471 19 12 11.024  -21 25 48.22        04LW31    304  C~3cX6      
2019 07  27.131157 19 12 10.846  -21 25 48.52        04LW31    304  C~3cX6      
2019 07  27.206904 19 12 10.513  -21 25 49.21        04LW31    304  C~3cX6      
2019 07  27.237446 19 12 10.343  -21 25 49.61        04LW31    304  C~3cX6      
2019 07  27.270721 19 12 10.200  -21 25 49.71        04LW31    304  C~3cX6      
2019 07  27.994578 19 12 06.944  -21 25 56.21        04LW31    304  C~3cX6      
2019 07  28.051247 19 12 06.696  -21 25 56.71        04LW31    304  C~3cX6      
2019 07  28.090979 19 12 06.511  -21 25 57.01        04LW31    304  C~3cX6      
2019 07  28.184488 19 12 06.093  -21 25 57.90        04LW31    304  C~3cX6      
2019 07  28.227809 19 12 05.894  -21 25 58.20        04LW31    304  C~3cX6      
2019 07  28.263584 19 12 05.724  -21 25 58.79        04LW31    304  C~3cX6      
2019 07  29.048431 19 12 02.236  -21 26 05.45        04LW31    304  C~3cX6      
2019 07  29.161990 19 12 01.725  -21 26 06.74        04LW31    304  C~3cX6      
2019 07  29.191705 19 12 01.576  -21 26 06.84        04LW31    304  C~3cX6      
2019 07  29.261580 19 12 01.264  -21 26 07.43        04LW31    304  C~3cX7      

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     0.05       0.00     0.13
     2   0.0027      0.00     0.14       0.00     0.04
     3   0.0029      0.00     0.14       0.00     0.02
     4   0.0054      0.00    -0.11       0.00    -0.14
     5   0.0057      0.00    -0.12       0.00    -0.24
     6   0.0958      0.00     0.12       0.00    -0.10
     7   0.1010      0.00     0.11       0.00    -0.00
     8   0.1013      0.00    -0.04       0.00     0.25
     9   1.1469      0.00    -0.01       0.00     0.10
    10   1.1472      0.00    -0.08       0.00     0.01
    11   1.1496      0.00    -0.08       0.00    -0.02
    12   1.1499      0.00    -0.12       0.00    -0.03
    13  14.0175      0.00     0.11       0.00     0.05
    14  14.0178      0.00    -0.06       0.00    -0.04
    15  14.0199      0.00     0.10       0.00    -0.07
    16  14.0201      0.00     0.00       0.00     0.00
    17  14.0204      0.00     0.04       0.00     0.06
    18  14.0206      0.00    -0.05       0.00     0.01
    19  14.0230      0.00     0.02       0.00    -0.02
    20  14.0232      0.00    -0.03       0.00    -0.05
    21  15.0115      0.00    -0.16       0.00     0.08
    22  15.0116      0.00    -0.02       0.00     0.04
    23  15.0117      0.00    -0.18       0.00    -0.08
    24  15.1284      0.00    -0.06       0.00     0.03
    25  15.1285      0.00     0.06       0.00     0.05
    26  15.1286      0.00     0.12       0.00     0.10
    27  15.1288      0.00     0.35       0.00     0.08
    28  15.1289      0.00    -0.10       0.00    -0.05
    29  15.1290      0.00     0.04       0.00     0.13
    30  15.1310      0.00    -0.18       0.00     0.01
    31  15.1312      0.00    -0.03       0.00     0.02
    32  15.1313      0.00    -0.09       0.00     0.08
    33  15.1315      0.00     0.04       0.00     0.01
    34  15.1316      0.00     0.02       0.00     0.09
    35  15.1317      0.00    -0.08       0.00    -0.20
    36  15.1339      0.00     0.03       0.00     0.04
    37  15.1342      0.00     0.08       0.00    -0.24
    38  15.1343      0.00    -0.13       0.00    -0.08
    39  15.1345      0.00    -0.07       0.00    -0.08

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.

04LW31    quality flag:3

Type:      CLASSICAL CLASSICAL CLASSICAL

axisobj        46.350    46.350    46.350
ecceobj         0.084     0.084     0.084
incobj          3.000     3.000     3.000
qmin           41.949    41.958    41.959
qmax           51.438    51.469    51.450
amean          46.563    46.563    46.563
amin           46.180    46.186    46.175
amax           46.969    46.965    46.965
emean           0.083     0.083     0.083
emin            0.070     0.070     0.070
emax            0.095     0.096     0.096
imean           1.827     1.827     1.827
imin            1.418     1.418     1.418
imax            2.197     2.197     2.198
excite_mean     0.089     0.089     0.089
fracstop        1.000     1.000     1.000
cjmean          3.123     3.123     3.123

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       171.2     171.7     170.9
kozaiamp        180.0     179.9     180.0