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: 11US411
# Created Thu Oct 31 01:09:05 2024
# Orbit generated from Bernstein formalism
# Fitting 22 observations of 23
# Arc: 4.17y
# First observation: 2011/09/05
# Last observation: 2015/11/08
Preliminary a, adot, b, bdot, g, gdot:
-0.000344 0.042340 -0.000121 0.016774 0.032704 0.000000
# Chi-squared of fit: 11.60 DOF: 38 RMS: 0.13
# Min/Max residuals: -0.25 0.32
# Exact a, adot, b, bdot, g, gdot:
2.050044E-05 4.182429E-02 9.273303E-06 1.663528E-02 3.267492E-02 1.116962E-03
# Covariance matrix:
2.8865E-13 -7.1789E-14 4.4721E-15 -1.2609E-14 1.7752E-13 -2.1279E-13
-7.1789E-14 3.3285E-13 -5.2282E-14 1.2359E-13 1.4014E-13 1.9926E-12
4.4721E-15 -5.2282E-14 1.3208E-13 -9.1921E-14 -2.5416E-14 -4.1550E-13
-1.2609E-14 1.2359E-13 -9.1921E-14 1.4110E-13 5.7881E-14 9.8424E-13
1.7752E-13 1.4014E-13 -2.5416E-14 5.7881E-14 2.7272E-13 9.2296E-13
-2.1279E-13 1.9926E-12 -4.1550E-13 9.8424E-13 9.2296E-13 1.5878E-11
# lat0 lon0 xBary yBary zBary JD0
3.574789 34.979104 0.797776 0.038095 -0.610021 2455810.111026
# Heliocentric elements and errors
Epoch: 2455810.5000 = 2011/09/06
Mean Anomaly: 0.03285 +/- 0.004
Argument of Peri: 9.27300 +/- 0.015
Long of Asc Node: 24.79722 +/- 0.000
Inclination: 22.00691 +/- 0.000
Eccentricity: 0.50667834 +/- 0.0001
Semi-Major Axis: 63.30187483 +/- 0.0091
Time of Perihelion: 2455793.7118 +/- 2.2
Perihelion: 31.22818578 +/- 0.0061
Aphelion: 95.37556388 +/- 0.0143
Period (y) 503.6549 +/- 0.11
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 25.98881411 +/- 0.0004
Ecliptic Y 17.20871747 +/- 0.0003
Ecliptic Z 1.90852359 +/- 0.0000
Ecliptic XDOT -0.00200693 +/- 0.0000
Ecliptic YDOT 0.00288052 +/- 0.0000
Ecliptic ZDOT 0.00139706 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 31.22820645 +/- 0.0004
Geocenter to KBO 30.60451448 +/- 0.0005
# Hcoef: 9.24
The following table shows the complete astrometric record for 11US411. 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 (11US411) followed by the observatory code and reference code for the source of the astrometry.
2011 09 05.61026 02 05 47.994 +16 32 48.67 24.1r 11US411 568 C~1C6O 2011 10 26.31804 02 01 16.042 +16 20 27.03 23.9r 11US411 568 C~1C6O 2011 10 26.36119 02 01 15.765 +16 20 25.98 24.0r 11US411 568 C~1C6O 2011 10 26.41881 02 01 15.382 +16 20 24.57 11US411 568 C~1C6O 2011 10 31.40998 02 00 43.644 +16 18 26.28 24.2r 11US411 568 C~1C6O 2011 10 31.45293 02 00 43.364 +16 18 25.13 23.6r 11US411 568 C~1C6O 2011 10 31.47823 02 00 43.211 +16 18 24.44 23.9r 11US411 568 C~1C6O 2011 10 31.48330 02 00 43.167 +16 18 24.39 24.2r 11US411 568 C~1C6O 2011 11 24.31408 01 58 21.568 +16 08 58.08 11US411 568 C~1C6O 2011 12 01.32873 01 57 46.026 +16 06 28.07 24.3r 11US411 568 C~1C6O 2012 01 27.25646 01 56 12.716 +16 00 45.22 24.2r 11US411 568 C~1C6O 2012 08 21.49424 02 14 31.820 +18 13 30.40 24.4r 11US411 568 C~1C6O 2012 08 24.55634 02 14 26.196 +18 13 58.57 24.2r 11US411 568 C~1C6O 2012 10 17.39961 02 10 19.702 +18 07 22.17 24.0r 11US411 568 C~1C6O 2012 10 20.49591 02 10 00.043 +18 06 18.45 24.4r 11US411 568 C~1C6O 2012 11 16.33116 02 07 10.679 +17 55 54.50 23.9r 11US411 568 C~1C6O 2012 11 16.35053 02 07 10.564 +17 55 53.87 23.8r 11US411 568 C~1C6O 2013 01 14.36299 02 03 53.371 +17 41 16.26 24.1r 11US411 568 C~1C6O 2013 02 06.30882 02 04 29.906 +17 44 16.53 24.3r 11US411 568 C~1C6O 2013 02 07.22795 02 04 32.784 +17 44 31.27 24.2r 11US411 568 C~1C6O 2013 02 09.22623 02 04 39.377 +17 45 05.68 24.5r 11US411 568 C~1C6O 2015 11 08.28008 02 33 27.57 +23 02 03.8 24.2R 11US411 G37 C~1ddG 2015 11 08.34654 02 33 27.10 +23 02 02.9 11US411 G37 C~1ddG
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 -0.25
2 0.1388 -3930.19 0.08 643.89 0.23
3 0.1389 -3934.30 0.10 644.28 0.17
4 0.1391 -3939.96 -0.05 644.86 0.15
5 0.1528 -4409.77 -0.07 691.77 0.16
6 0.1529 -4413.95 -0.15 692.09 0.06
7 0.1530 -4416.25 -0.04 692.20 -0.06
8 0.1530 -4416.87 -0.17 692.37 0.06
9 0.2182 -6527.50 0.10 869.62 -0.06
10 0.2374 -7060.39 0.10 907.80 -0.11
11 0.3933 -8442.30 0.06 1057.82 -0.18
12 0.9607 9094.49 -0.12 3185.60 -0.01
13 0.9691 9027.99 -0.05 3238.63 -0.08
14 1.1165 5578.01 0.27 4030.42 0.00
15 1.1249 5292.33 0.19 4064.12 -0.09
16 1.1984 2805.96 0.05 4289.40 0.07
17 1.1985 2804.21 0.03 4289.36 -0.10
18 1.3600 -143.33 -0.15 4422.41 -0.01
19 1.4229 409.02 -0.10 4413.30 -0.18
20 1.4254 452.71 -0.05 4413.11 -0.17
21 1.4308 553.01 0.05 4413.30 0.32
22 4.1743 29933.12 -0.03 14704.95 0.06
23 4.1745 29926.52 ( -0.15) 14706.03 ( 0.68)
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.
11US411 quality flag:3 Type: 3:1EE 3:1EE 3:1EE axisobj 63.516 63.544 63.488 ecceobj 0.508 0.508 0.508 incobj 21.992 21.992 21.991 qmin 30.781 30.768 30.780 qmax 95.923 96.233 96.098 amean 62.630 62.630 62.629 amin 61.800 61.855 61.775 amax 63.802 63.738 63.778 emean 0.475 0.483 0.467 emin 0.455 0.463 0.444 emax 0.508 0.510 0.508 imean 24.068 23.459 24.663 imin 21.807 21.705 21.807 imax 25.155 24.554 25.963 excite_mean 0.626 0.626 0.627 fracstop 1.000 1.000 1.000 cjmean 2.798 2.798 2.798 libcent 0 68.7 67.3 70.1 libamp 0 24.8 19.7 29.3 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 187.0 231.0 130.2 kozaiamp 180.0 180.0 180.0