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: 03UZ413
# Created Fri May 24 01:37:20 2013
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 36 observations of 36
# Arc: 56.27y
# First observation: 1954/07/29
# Last observation: 2010/11/03
# Chi-squared of fit: 132.93 DOF: 66 RMS: 0.34
# Min/Max residuals: -1.05 0.66
# Exact a, adot, b, bdot, g, gdot:
1.931910E-05 3.990034E-02 -4.094015E-06 -8.479174E-03 3.314721E-02 3.772075E-03
# Covariance matrix:
2.8528E-09 1.2070E-06 -6.6379E-10 -2.4413E-07 -1.8936E-12 -4.3961E-07
1.2070E-06 5.4555E-04 -2.8161E-07 -1.0508E-04 -8.0375E-10 -1.9044E-04
-6.6379E-10 -2.8161E-07 1.5516E-10 5.5921E-08 4.4079E-13 1.0255E-07
-2.4413E-07 -1.0508E-04 5.5921E-08 4.6628E-05 1.6242E-10 3.8467E-05
-1.8936E-12 -8.0375E-10 4.4079E-13 1.6242E-10 1.2575E-15 2.9273E-10
-4.3961E-07 -1.9044E-04 1.0255E-07 3.8467E-05 2.9273E-10 6.9879E-05
# lat0 lon0 xBary yBary zBary JD0
1.216418 -49.348609 0.075564 0.021826 -1.017676 2434952.821188
# Heliocentric elements and errors
Epoch: 2434952.5000 = 1954/07/29
Mean Anomaly: 18.43393 +/- 0.000
Argument of Peri: 145.26058 +/- 0.000
Long of Asc Node: 136.02499 +/- 0.000
Inclination: 12.06419 +/- 0.000
Eccentricity: 0.21995910 +/- 0.0000
Semi-Major Axis: 39.06334823 +/- 0.0000
Time of Perihelion: 2430386.1620 +/- 0.0
Perihelion: 30.47100931 +/- 0.0000
Aphelion: 47.65568715 +/- 0.0000
Period (y) 244.1532 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 20.25032543 +/- 0.0000
Ecliptic Y -23.70128138 +/- 0.0000
Ecliptic Z 0.64027526 +/- 0.0000
Ecliptic XDOT 0.00270675 +/- 0.0000
Ecliptic YDOT 0.00189683 +/- 0.0000
Ecliptic ZDOT -0.00069343 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 31.18065264 +/- 0.0000
Geocenter to KBO 30.16842677 +/- 0.0000
# Hcoef: 4.30
The following table shows the complete astrometric record for 03UZ413. 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 (03UZ413) followed by the observatory code and reference code for the source of the astrometry.
1954 07 29.32083 20 51 02.06 -16 23 38.9 03UZ413 261 x2595 1954 07 29.34514 20 51 01.91 -16 23 39.4 03UZ413 261 x2595 1982 09 16.59931 00 34 47.64 -06 29 28.0 03UZ413 260 x1770 1982 11 14.48841 00 30 15.28 -06 55 57.0 03UZ413 260 x1770 1990 08 22.45764 01 25 58.36 -02 38 03.8 03UZ413 261 x1770 1991 10 01.60800 01 29 17.58 -02 34 19.2 03UZ413 260 x1770 1996 10 14.62507 01 56 23.76 -00 33 27.0 03UZ413 260 x1770 2001 10 16.41788 02 23 00.11 +01 27 41.8 20.1R 03UZ413 644 Cv4424 2001 10 16.43910 02 23 00.02 +01 27 41.8 20.7R 03UZ413 644 Cv4424 2001 10 16.46041 02 22 59.91 +01 27 40.4 20.5R 03UZ413 644 Cv4424 2001 10 23.42359 02 22 27.13 +01 24 29.8 20.2R 03UZ413 644 Cv4424 2002 10 09.32041 02 28 43.14 +01 54 34.9 20.2V 03UZ413 644 Cv4424 2002 10 09.34586 02 28 43.05 +01 54 33.9 20.2V 03UZ413 644 Cv4424 2002 10 09.36620 02 28 42.97 +01 54 34.2 20.3V 03UZ413 644 Cv4424 2002 10 29.35203 02 27 10.62 +01 45 27.8 19.9V 03UZ413 644 Cv4424 2002 12 08.31008 02 24 13.53 +01 34 35.0 19.9R 03UZ413 644 Cv4424 2003 08 30.39120 02 35 52.97 +02 36 20.2 03UZ413 644 Cv4424 2003 09 29.35632 02 34 30.66 +02 22 31.6 20.2r 03UZ413 644 Cv4424 2003 10 21.26996 02 32 57.11 +02 12 08.9 20.8R 03UZ413 644 Cv4424 2003 10 21.34232 02 32 56.77 +02 12 07.2 20.7R 03UZ413 644 Cv4424 2003 10 21.40693 02 32 56.51 +02 12 05.4 20.2R 03UZ413 644 Cv4424 2006 09 14.52221 02 50 12.46 +03 35 54.7 03UZ413 644 Cv4424 2006 09 16.34701 02 50 07.74 +03 35 06.3 03UZ413 644 Cv4424 2006 09 16.39022 02 50 07.63 +03 35 04.8 03UZ413 644 Cv4424 2006 09 23.40815 02 49 47.14 +03 31 55.0 03UZ413 644 Cv4424 2006 09 24.40478 02 49 43.93 +03 31 27.7 03UZ413 644 Cv4424 2007 10 20.61530 02 52 55.93 +03 41 25.5 20. R 03UZ413 413 Cw2487 2007 10 20.63244 02 52 55.85 +03 41 25.3 03UZ413 413 Cw2487 2007 10 22.66066 02 52 46.70 +03 40 33.7 20. R 03UZ413 413 Cw2487 2007 10 22.67497 02 52 46.63 +03 40 32.7 03UZ413 413 Cw2487 2010 10 31.07032 03 06 38.130 +04 40 50.44 20.0R 03UZ413 809 C~0etb 2010 10 31.22343 03 06 37.416 +04 40 46.81 20.0R 03UZ413 809 C~0etb 2010 10 31.33295 03 06 36.882 +04 40 44.40 19.9R 03UZ413 809 C~0etb 2010 11 03.06596 03 06 24.116 +04 39 43.66 20.1R 03UZ413 809 C~0etb 2010 11 03.18490 03 06 23.578 +04 39 41.07 20.1R 03UZ413 809 C~0etc 2010 11 03.26737 03 06 23.194 +04 39 39.09 20.1R 03UZ413 809 C~0etc
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 -0.20 0.00 -0.91 2 0.0001 0.00 0.00 0.00 0.22 3 28.1349 0.00 -0.39 0.00 0.03 4 28.2961 0.00 0.24 0.00 0.00 5 36.0661 0.00 -0.10 0.00 0.04 6 37.1753 0.00 0.36 0.00 0.00 7 42.2130 0.00 0.47 0.00 -0.07 8 47.2172 0.00 0.28 0.00 -0.07 9 47.2173 0.00 0.42 0.00 0.53 10 47.2174 0.00 0.27 0.00 -0.27 11 47.2364 0.00 -0.51 0.00 0.44 12 48.1971 0.00 -0.34 0.00 -0.14 13 48.1972 0.00 -0.01 0.00 -0.40 14 48.1973 0.00 0.13 0.00 0.49 15 48.2520 0.00 0.07 0.00 -1.05 16 48.3614 0.00 0.07 0.00 -0.07 17 49.0871 0.00 0.16 0.00 -0.35 18 49.1692 0.00 -0.99 0.00 0.09 19 49.2292 0.00 -0.05 0.00 0.12 20 49.2294 0.00 -0.02 0.00 0.36 21 49.2295 0.00 0.66 0.00 0.29 22 52.1292 0.00 -0.10 0.00 -0.13 23 52.1342 0.00 -0.22 0.00 -0.17 24 52.1343 0.00 -0.10 0.00 -0.52 25 52.1536 0.00 -0.15 0.00 -0.22 26 52.1563 0.00 -0.44 0.00 -0.13 27 53.2274 0.00 0.03 0.00 -0.19 28 53.2274 0.00 0.00 0.00 0.05 29 53.2330 0.00 -0.11 0.00 0.28 30 53.2330 0.00 -0.18 0.00 -0.35 31 56.2567 0.00 0.23 0.00 0.47 32 56.2571 0.00 0.33 0.00 0.29 33 56.2574 0.00 0.07 0.00 0.36 34 56.2649 0.00 -0.24 0.00 0.38 35 56.2652 0.00 0.18 0.00 0.38 36 56.2654 0.00 0.32 0.00 0.20
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.
03UZ413 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.540 39.540 39.540 ecceobj 0.221 0.221 0.221 incobj 12.041 12.041 12.041 qmin 28.841 28.823 28.832 qmax 50.772 50.696 50.721 amean 39.455 39.456 39.456 amin 38.956 38.956 38.956 amax 40.021 40.022 40.034 emean 0.232 0.232 0.233 emin 0.197 0.197 0.197 emax 0.269 0.268 0.269 imean 10.644 10.684 10.636 imin 8.750 8.745 8.743 imax 12.394 12.398 12.402 excite_mean 0.298 0.298 0.298 fracstop 1.000 1.000 1.000 cjmean 2.951 2.951 2.951 libcent 0 181.0 181.3 180.0 libamp 0 100.3 102.7 99.6 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 84.9 85.3 84.8 kozaiamp 51.4 53.7 51.4