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: 11UL411
# Created Sat Apr 20 01:13:51 2024
# Orbit generated from Bernstein formalism
# Fitting 16 observations of 16
# Arc: 1.43y
# First observation: 2011/08/29
# Last observation: 2013/02/03
Preliminary a, adot, b, bdot, g, gdot:
-0.000178 0.027070 0.000004 0.000128 0.025792 0.000000
# Chi-squared of fit: 5.81 DOF: 26 RMS: 0.11
# Min/Max residuals: -0.14 0.26
# Exact a, adot, b, bdot, g, gdot:
1.560779E-05 2.692960E-02 -7.016374E-08 1.268480E-04 2.590357E-02 5.191660E-04
# Covariance matrix:
6.4612E-13 3.2212E-13 -5.7748E-15 8.5931E-15 8.1585E-13 3.5622E-11
3.2212E-13 1.0699E-12 -6.8365E-15 1.0888E-14 1.0299E-12 5.2759E-11
-5.7748E-15 -6.8365E-15 2.1309E-13 -2.0366E-13 -1.0803E-14 -4.5697E-13
8.5931E-15 1.0888E-14 -2.0366E-13 3.4084E-13 1.6387E-14 7.5467E-13
8.1585E-13 1.0299E-12 -1.0803E-14 1.6387E-14 1.5541E-12 7.1252E-11
3.5622E-11 5.2759E-11 -4.5697E-13 7.5467E-13 7.1252E-11 3.9243E-09
# lat0 lon0 xBary yBary zBary JD0
1.978849 30.657996 0.826038 0.019853 -0.575517 2455803.007416
# Heliocentric elements and errors
Epoch: 2455800.5000 = 2011/08/27
Mean Anomaly: 358.74679 +/- 1.562
Argument of Peri: 82.36565 +/- 1.835
Long of Asc Node: 308.54805 +/- 0.036
Inclination: 1.97401 +/- 0.000
Eccentricity: 0.07816754 +/- 0.0001
Semi-Major Axis: 42.51486851 +/- 0.0040
Time of Perihelion: 2456152.9781 +/- 439.4
Perihelion: 39.19158577 +/- 0.0049
Aphelion: 45.83815125 +/- 0.0054
Period (y) 277.2167 +/- 0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 34.10896794 +/- 0.0016
Ecliptic Y 19.25756799 +/- 0.0009
Ecliptic Z 1.33306401 +/- 0.0001
Ecliptic XDOT -0.00140773 +/- 0.0000
Ecliptic YDOT 0.00248159 +/- 0.0000
Ecliptic ZDOT 0.00001535 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 39.19250794 +/- 0.0015
Geocenter to KBO 38.60472368 +/- 0.0019
# Hcoef: 8.64
The following table shows the complete astrometric record for 11UL411. 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 (11UL411) followed by the observatory code and reference code for the source of the astrometry.
2011 08 29.50665 01 51 18.827 +13 33 20.77 24.5r 11UL411 568 C~1C6N 2011 08 29.59745 01 51 18.571 +13 33 19.80 24.6r 11UL411 568 C~1C6N 2011 10 24.41621 01 47 26.755 +13 13 27.00 24.2r 11UL411 568 C~1C6N 2011 10 24.45893 01 47 26.541 +13 13 25.81 24.5r 11UL411 568 C~1C6N 2011 10 24.50160 01 47 26.315 +13 13 24.59 24.2r 11UL411 568 C~1C6N 2011 10 28.49290 01 47 06.455 +13 11 33.72 24.7r 11UL411 568 C~1C6N 2011 10 30.53764 01 46 56.321 +13 10 36.95 11UL411 568 C~1C6N 2011 11 26.46510 01 44 54.997 +12 58 49.49 11UL411 568 C~1C6N 2012 01 27.29405 01 43 39.239 +12 48 46.82 24.4r 11UL411 568 C~1C6O 2012 08 17.58997 01 57 37.337 +14 07 28.37 24.8r 11UL411 568 C~1C6O 2012 08 24.54776 01 57 25.452 +14 06 45.55 24.6r 11UL411 568 C~1C6O 2012 10 17.39097 01 53 58.486 +13 49 46.52 11UL411 568 C~1C6O 2012 10 17.42115 01 53 58.326 +13 49 45.63 11UL411 568 C~1C6O 2012 10 20.48606 01 53 43.012 +13 48 23.44 24.2r 11UL411 568 C~1C6O 2013 01 14.35439 01 49 15.548 +13 21 10.21 24.5r 11UL411 568 C~1C6O 2013 02 03.27083 01 49 43.805 +13 22 41.53 25.1r 11UL411 568 C~1C6O
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 0.17 0.00 0.03
2 0.0002 -3.84 -0.10 0.41 0.15
3 0.1531 -3590.13 -0.01 81.65 -0.03
4 0.1532 -3593.47 0.03 81.65 -0.05
5 0.1533 -3596.99 -0.11 81.68 -0.03
6 0.1642 -3907.59 0.06 81.26 -0.13
7 0.1698 -4066.16 -0.06 80.90 0.02
8 0.2436 -5975.71 0.06 52.99 0.19
9 0.4128 -7227.14 -0.05 -112.54 -0.07
10 0.9694 5882.35 -0.14 -4.62 -0.06
11 0.9885 5705.18 -0.11 15.01 -0.12
12 1.1359 2524.87 0.17 107.13 -0.05
13 1.1360 2522.37 0.04 107.11 -0.10
14 1.1444 2284.62 0.17 108.07 -0.10
15 1.3795 -1940.60 -0.07 -48.76 0.08
16 1.4340 -1522.55 -0.06 -109.21 0.26
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.
11UL411 quality flag:2 Type: 5:3EE 5:3EE CLASSICAL axisobj 42.600 42.613 42.587 ecceobj 0.080 0.080 0.080 incobj 1.974 1.974 1.974 qmin 38.426 38.511 38.322 qmax 46.630 46.739 46.640 amean 42.330 42.330 42.329 amin 41.951 41.957 41.950 amax 42.722 42.718 42.739 emean 0.067 0.068 0.054 emin 0.043 0.047 0.012 emax 0.093 0.094 0.094 imean 4.122 3.986 4.827 imin 2.632 2.659 2.924 imax 5.299 5.145 6.368 excite_mean 0.099 0.098 0.103 fracstop 1.000 1.000 1.000 cjmean 3.070 3.070 3.069 libcent 0 180.1 178.9 -180.0 libamp 0 104.5 81.6 -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 181.9 180.6 162.4 kozaiamp 180.0 180.0 179.9