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: 11UA412
# Created Tue Apr 1 01:09:19 2025
# Orbit generated from Bernstein formalism
# Fitting 12 observations of 12
# Arc: 1.15y
# First observation: 2011/08/29
# Last observation: 2012/10/21
Preliminary a, adot, b, bdot, g, gdot:
-0.000081 0.027666 0.000002 -0.001046 0.025780 0.000000
# Chi-squared of fit: 4.98 DOF: 18 RMS: 0.11
# Min/Max residuals: -0.21 0.27
# Exact a, adot, b, bdot, g, gdot:
1.733732E-05 2.749831E-02 2.621243E-07 -1.039805E-03 2.570076E-02 -1.028712E-04
# Covariance matrix:
5.2300E-13 6.2137E-13 -2.8111E-15 -4.2607E-14 8.7023E-13 4.2194E-11
6.2137E-13 5.9116E-12 -2.1895E-15 -2.7026E-13 3.5635E-12 2.7000E-10
-2.8111E-15 -2.1895E-15 2.4716E-13 -2.4977E-13 -6.8219E-15 -8.6810E-14
-4.2607E-14 -2.7026E-13 -2.4977E-13 5.0818E-13 -1.7590E-13 -1.3478E-11
8.7023E-13 3.5635E-12 -6.8219E-15 -1.7590E-13 2.9944E-12 1.7492E-10
4.2194E-11 2.7000E-10 -8.6810E-14 -1.3478E-11 1.7492E-10 1.3469E-08
# lat0 lon0 xBary yBary zBary JD0
2.087850 29.693301 0.816180 0.021454 -0.589355 2455803.011756
# Heliocentric elements and errors
Epoch: 2455800.5000 = 2011/08/27
Mean Anomaly: 352.38126 +/- 1.286
Argument of Peri: 146.32550 +/- 1.787
Long of Asc Node: 252.64069 +/- 0.020
Inclination: 2.95147 +/- 0.001
Eccentricity: 0.15419906 +/- 0.0007
Semi-Major Axis: 46.60953830 +/- 0.0096
Time of Perihelion: 2458260.2511 +/- 415.3
Perihelion: 39.42239130 +/- 0.0337
Aphelion: 53.79668530 +/- 0.0346
Period (y) 318.2148 +/- 0.10
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 34.69767849 +/- 0.0023
Ecliptic Y 18.84564389 +/- 0.0013
Ecliptic Z 1.41757103 +/- 0.0001
Ecliptic XDOT -0.00146023 +/- 0.0000
Ecliptic YDOT 0.00254666 +/- 0.0000
Ecliptic ZDOT -0.00011103 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 39.51071619 +/- 0.0021
Geocenter to KBO 38.90935090 +/- 0.0026
# Hcoef: 8.66
The following table shows the complete astrometric record for 11UA412. 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 (11UA412) followed by the observatory code and reference code for the source of the astrometry.
2011 08 29.51099 01 47 26.789 +13 19 00.77 24.8r 11UA412 568 C~1C6P 2011 08 29.55464 01 47 26.681 +13 19 00.40 24.3r 11UA412 568 C~1C6P 2011 09 05.54123 01 47 07.177 +13 17 26.66 24.3r 11UA412 568 C~1C6P 2011 10 24.42047 01 43 37.223 +12 58 28.49 11UA412 568 C~1C6P 2011 10 24.46320 01 43 37.006 +12 58 27.32 24.7r 11UA412 568 C~1C6P 2011 10 24.50589 01 43 36.790 +12 58 26.12 11UA412 568 C~1C6P 2011 10 29.32439 01 43 13.339 +12 56 10.12 24.4r 11UA412 568 C~1C6P 2012 08 23.56668 01 53 48.159 +13 49 52.25 11UA412 568 C~1C6P 2012 08 24.59051 01 53 46.126 +13 49 43.64 11UA412 568 C~1C6P 2012 10 21.31891 01 50 01.712 +13 30 15.09 24.5r 11UA412 568 C~1C6P 2012 10 21.34463 01 50 01.590 +13 30 14.22 24.8r 11UA412 568 C~1C6P 2012 10 21.37029 01 50 01.443 +13 30 13.57 24.4r 11UA412 568 C~1C6P
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 -0.09 0.00 -0.19
2 0.0001 -1.61 0.04 0.21 -0.08
3 0.0192 -301.04 0.04 13.73 -0.09
4 0.1531 -3572.57 0.05 45.56 0.02
5 0.1532 -3575.95 0.01 45.60 0.08
6 0.1533 -3579.33 -0.04 45.61 0.10
7 0.1665 -3948.23 -0.01 41.68 0.27
8 0.9858 5858.12 -0.13 -224.88 -0.21
9 0.9886 5827.34 0.13 -222.61 -0.12
10 1.1466 2352.94 0.06 -169.25 0.15
11 1.1467 2350.97 0.09 -169.43 -0.04
12 1.1468 2348.73 -0.14 -169.28 0.11
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.
11UA412 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 46.712 46.739 46.687 ecceobj 0.156 0.156 0.156 incobj 2.951 2.950 2.951 qmin 38.547 38.639 38.535 qmax 54.484 54.376 54.404 amean 46.308 46.336 46.280 amin 45.917 45.924 45.886 amax 46.753 46.772 46.725 emean 0.152 0.151 0.151 emin 0.138 0.138 0.138 emax 0.166 0.163 0.165 imean 4.591 4.620 4.594 imin 3.991 4.059 3.995 imax 5.132 5.125 5.133 excite_mean 0.171 0.171 0.171 fracstop 1.000 1.000 1.000 cjmean 3.093 3.094 3.093 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 183.7 182.0 183.7 kozaiamp 180.0 179.9 180.0