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: 11UJ412
# Created Sat Apr 20 01:13:54 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 20 observations of 20
# Arc: 11.25y
# First observation: 2011/08/29
# Last observation: 2022/11/28
# Chi-squared of fit: 5.97 DOF: 34 RMS: 0.10
# Min/Max residuals: -0.17 0.24
# Exact a, adot, b, bdot, g, gdot:
1.338180E-05 1.941799E-02 7.472566E-06 1.102177E-02 2.355923E-02 -5.840450E-06
# Covariance matrix:
2.7093E-13 -6.6816E-14 1.6861E-14 -4.4153E-14 1.7819E-13 -3.3082E-13
-6.6816E-14 2.9831E-13 -7.8689E-14 1.9250E-13 8.9494E-14 1.4663E-12
1.6861E-14 -7.8689E-14 1.1508E-13 -6.1613E-14 -2.2048E-14 -3.9328E-13
-4.4153E-14 1.9250E-13 -6.1613E-14 1.3101E-13 5.0514E-14 9.6291E-13
1.7819E-13 8.9494E-14 -2.2048E-14 5.0514E-14 2.5760E-13 3.9128E-13
-3.3082E-13 1.4663E-12 -3.9328E-13 9.6291E-13 3.9128E-13 7.3333E-12
# lat0 lon0 xBary yBary zBary JD0
2.800210 33.007982 0.848327 0.026474 -0.541793 2455803.072836
# Heliocentric elements and errors
Epoch: 2455802.5000 = 2011/08/29
Mean Anomaly: 226.18863 +/- 0.161
Argument of Peri: 141.40915 +/- 0.159
Long of Asc Node: 27.01660 +/- 0.000
Inclination: 29.68944 +/- 0.000
Eccentricity: 0.02485326 +/- 0.0001
Semi-Major Axis: 42.25955507 +/- 0.0036
Time of Perihelion: 2493099.7070 +/- 45.6
Perihelion: 41.20926756 +/- 0.0062
Aphelion: 43.30984258 +/- 0.0063
Period (y) 274.7234 +/- 0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 36.47305832 +/- 0.0008
Ecliptic Y 22.68047508 +/- 0.0005
Ecliptic Z 2.07397730 +/- 0.0000
Ecliptic XDOT -0.00128548 +/- 0.0000
Ecliptic YDOT 0.00186331 +/- 0.0000
Ecliptic ZDOT 0.00127935 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 42.99988696 +/- 0.0007
Geocenter to KBO 42.44623716 +/- 0.0009
# Hcoef: 8.01
The following table shows the complete astrometric record for 11UJ412. 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 (11UJ412) followed by the observatory code and reference code for the source of the astrometry.
2011 08 29.57207 01 59 12.988 +15 08 40.32 24.5r 11UJ412 568 C~1C6Q 2011 08 29.61903 01 59 12.877 +15 08 40.06 24.3r 11UJ412 568 C~1C6Q 2011 10 25.32517 01 55 21.536 +14 56 12.77 23.9r 11UJ412 568 C~1C6Q 2011 10 25.36849 01 55 21.309 +14 56 12.01 24.2r 11UJ412 568 C~1C6Q 2011 10 25.42298 01 55 21.034 +14 56 10.78 24.4r 11UJ412 568 C~1C6Q 2011 10 25.48274 01 55 20.732 +14 56 09.77 24.3r 11UJ412 568 C~1C6Q 2011 10 26.27399 01 55 16.849 +14 55 53.71 11UJ412 568 C~1C6Q 2011 10 26.32667 01 55 16.587 +14 55 52.79 24.1r 11UJ412 568 C~1C6Q 2011 10 26.36985 01 55 16.374 +14 55 51.87 24.5r 11UJ412 568 C~1C6Q 2011 11 24.28776 01 53 02.180 +14 46 22.58 23.8r 11UJ412 568 C~1C6Q 2011 11 30.33399 01 52 38.243 +14 44 37.34 24.3r 11UJ412 568 C~1C6Q 2012 01 27.24139 01 51 12.395 +14 39 14.46 24.6r 11UJ412 568 C~1C6Q 2012 08 22.45359 02 02 53.828 +16 07 17.23 11UJ412 568 C~1C6Q 2012 08 23.52913 02 02 51.710 +16 07 18.42 24.4r 11UJ412 568 C~1C6Q 2012 10 17.37393 01 59 24.999 +15 57 57.50 24.1r 11UJ412 568 C~1C6Q 2013 02 02.26555 01 54 42.800 +15 38 23.52 24.4r 11UJ412 568 C~1C6Q 2013 02 03.26646 01 54 44.523 +15 38 33.96 24.5r 11UJ412 568 C~1C6Q 2022 11 28.116200 02 32 51.359 +25 27 14.01 23.9G 11UJ412 G37 C~6730 2022 11 28.168230 02 32 51.131 +25 27 12.98 11UJ412 G37 C~6730 2022 11 28.219350 02 32 50.860 +25 27 12.04 11UJ412 G37 C~6730
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 -0.06 0.00 -0.04
2 0.0001 0.00 0.08 0.00 -0.16
3 0.1554 0.00 0.18 0.00 0.03
4 0.1555 0.00 0.03 0.00 0.13
5 0.1556 0.00 0.00 0.00 -0.02
6 0.1558 0.00 -0.04 0.00 0.16
7 0.1580 0.00 -0.04 0.00 -0.11
8 0.1581 0.00 -0.03 0.00 0.01
9 0.1582 0.00 0.02 0.00 -0.06
10 0.2374 0.00 0.05 0.00 -0.09
11 0.2540 0.00 0.02 0.00 0.05
12 0.4125 0.00 -0.08 0.00 -0.07
13 0.9826 0.00 0.08 0.00 -0.08
14 0.9855 0.00 -0.17 0.00 -0.03
15 1.1357 0.00 -0.00 0.00 0.06
16 1.4311 0.00 -0.04 0.00 0.05
17 1.4338 0.00 -0.16 0.00 0.15
18 11.2486 0.00 -0.13 0.00 -0.09
19 11.2487 0.00 0.24 0.00 -0.04
20 11.2489 0.00 -0.10 0.00 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.
11UJ412 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 42.334 42.334 42.334 ecceobj 0.023 0.023 0.023 incobj 29.660 29.660 29.660 qmin 40.048 40.053 40.044 qmax 44.337 44.337 44.337 amean 42.100 42.100 42.100 amin 41.780 41.778 41.783 amax 42.428 42.432 42.431 emean 0.033 0.033 0.033 emin 0.022 0.022 0.022 emax 0.046 0.046 0.046 imean 29.348 29.348 29.348 imin 29.039 29.039 29.038 imax 29.634 29.636 29.632 excite_mean 0.491 0.491 0.491 fracstop 1.000 1.000 1.000 cjmean 2.775 2.775 2.775 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 191.9 191.9 192.0 kozaiamp 180.0 180.0 180.0