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 Thu Apr 25 01:11:52 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:
1.445450E-05 2.058283E-02 -1.241577E-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: 46.44881569 +/- 0.0044
Time of Perihelion: 2478626.6304 +/- 18.9
Perihelion: 42.79405433 +/- 0.0053
Aphelion: 50.10357705 +/- 0.0059
Period (y) 316.5703 +/- 0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -0.60704360 +/- 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