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: 11UG411
# Created Fri Apr 19 01:13:51 2024
# Orbit generated from Bernstein formalism
# Fitting 21 observations of 21
# Arc: 3.96y
# First observation: 2011/10/25
# Last observation: 2015/10/09
Preliminary a, adot, b, bdot, g, gdot:
-0.000020 0.024509 0.000018 -0.004061 0.024106 0.000000
# Chi-squared of fit: 9.59 DOF: 36 RMS: 0.12
# Min/Max residuals: -0.36 0.19
# Exact a, adot, b, bdot, g, gdot:
1.669736E-05 2.463166E-02 -2.897062E-06 -4.084815E-03 2.439010E-02 1.913008E-03
# Covariance matrix:
1.5138E-13 -1.6962E-13 -4.3096E-15 1.9856E-14 3.1797E-14 -1.2366E-12
-1.6962E-13 5.3328E-13 2.1984E-14 -7.8524E-14 8.2297E-14 4.8584E-12
-4.3096E-15 2.1984E-14 1.0834E-13 -4.2185E-14 1.2552E-14 2.2649E-13
1.9856E-14 -7.8524E-14 -4.2185E-14 5.3702E-14 -1.9217E-14 -7.8155E-13
3.1797E-14 8.2297E-14 1.2552E-14 -1.9217E-14 3.2214E-13 1.1424E-12
-1.2366E-12 4.8584E-12 2.2649E-13 -7.8155E-13 1.1424E-12 4.8306E-11
# lat0 lon0 xBary yBary zBary JD0
5.223876 30.598394 -0.014933 0.090218 -0.986796 2455859.847326
# Heliocentric elements and errors
Epoch: 2455850.5000 = 2011/10/16
Mean Anomaly: 26.73299 +/- 0.062
Argument of Peri: 115.50644 +/- 0.091
Long of Asc Node: 238.89106 +/- 0.001
Inclination: 10.67085 +/- 0.000
Eccentricity: 0.14728220 +/- 0.0002
Semi-Major Axis: 48.04880379 +/- 0.0071
Time of Perihelion: 2446816.7647 +/- 20.9
Perihelion: 40.97207012 +/- 0.0125
Aphelion: 55.12553746 +/- 0.0136
Period (y) 333.0674 +/- 0.07
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 35.99313849 +/- 0.0008
Ecliptic Y 21.30198990 +/- 0.0005
Ecliptic Z 3.73285189 +/- 0.0001
Ecliptic XDOT -0.00119105 +/- 0.0000
Ecliptic YDOT 0.00251516 +/- 0.0000
Ecliptic ZDOT -0.00043701 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 41.99065343 +/- 0.0007
Geocenter to KBO 41.00024146 +/- 0.0010
# Hcoef: 8.62
The following table shows the complete astrometric record for 11UG411. 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 (11UG411) followed by the observatory code and reference code for the source of the astrometry.
2011 10 25.34656 01 46 19.042 +16 34 08.22 24.6r 11UG411 568 C~1C6N 2011 10 25.39635 01 46 18.810 +16 34 06.75 11UG411 568 C~1C6N 2011 10 25.40523 01 46 18.750 +16 34 06.61 24.4r 11UG411 568 C~1C6N 2011 10 26.30517 01 46 14.568 +16 33 40.62 24.7r 11UG411 568 C~1C6N 2011 10 26.34841 01 46 14.368 +16 33 39.68 24.8r 11UG411 568 C~1C6N 2011 10 26.39151 01 46 14.160 +16 33 38.40 24.4r 11UG411 568 C~1C6N 2011 10 31.39702 01 45 50.884 +16 31 13.97 25.5r 11UG411 568 C~1C6N 2011 11 24.25792 01 44 09.322 +16 19 46.40 11UG411 568 C~1C6N 2011 11 26.47841 01 44 01.137 +16 18 45.54 24.7r 11UG411 568 C~1C6N 2012 01 25.30732 01 42 49.387 +16 02 37.26 25.0r 11UG411 568 C~1C6N 2012 01 27.22612 01 42 52.560 +16 02 35.01 24.7r 11UG411 568 C~1C6N 2012 08 24.45714 01 55 59.347 +17 10 07.67 24.8r 11UG411 568 C~1C6N 2012 08 27.55400 01 55 53.049 +17 09 47.20 11UG411 568 C~1C6N 2012 10 21.33604 01 52 25.906 +16 52 30.43 24.6r 11UG411 568 C~1C6N 2012 10 21.36172 01 52 25.788 +16 52 29.86 11UG411 568 C~1C6N 2012 10 21.38781 01 52 25.656 +16 52 28.99 25.1r 11UG411 568 C~1C6N 2013 01 14.32680 01 48 21.481 +16 20 19.14 11UG411 568 C~1C6N 2013 02 03.29696 01 48 49.256 +16 19 31.00 11UG411 568 C~1C6N 2015 10 09.41854 02 10 54.178 +17 43 52.50 25.0w 11UG411 568 C~2jM3 2015 10 09.46193 02 10 53.969 +17 43 51.63 25.0w 11UG411 568 C~2jM3 2015 10 09.49526 02 10 53.821 +17 43 50.68 25.0w 11UG411 568 C~2jM3
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 -0.15 0.00 0.05
2 0.0001 -3.64 -0.10 -0.18 -0.03
3 0.0002 -4.50 -0.29 -0.00 0.17
4 0.0026 -69.94 -0.09 -2.80 -0.23
5 0.0027 -72.96 0.09 -2.65 0.01
6 0.0029 -76.21 0.04 -2.77 -0.02
7 0.0166 -440.42 0.17 -17.99 -0.11
8 0.0819 -2051.14 0.09 -135.58 0.05
9 0.0880 -2182.99 0.00 -149.97 0.11
10 0.2518 -3496.47 0.19 -680.53 0.10
11 0.2570 -3454.62 0.03 -699.15 0.16
12 0.8326 8562.36 0.07 -907.15 -0.07
13 0.8411 8470.43 -0.04 -895.12 -0.09
14 0.9911 5320.66 0.07 -833.00 -0.06
15 0.9911 5318.88 0.17 -832.94 0.04
16 0.9912 5316.80 0.02 -833.09 -0.07
17 1.2238 1350.80 0.09 -1401.91 -0.06
18 1.2784 1707.60 -0.36 -1588.72 0.01
19 3.9564 21373.80 0.11 -3323.73 -0.03
20 3.9565 21370.66 -0.04 -3323.57 0.14
21 3.9566 21368.33 -0.07 -3323.77 -0.06
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.
11UG411 quality flag:3 Type: 2:1E 2:1E 2:1E axisobj 48.161 48.183 48.139 ecceobj 0.150 0.150 0.149 incobj 10.667 10.667 10.667 qmin 39.462 39.269 39.158 qmax 56.645 56.750 56.993 amean 47.798 47.798 47.798 amin 47.342 47.366 47.340 amax 48.304 48.272 48.322 emean 0.143 0.145 0.143 emin 0.105 0.109 0.101 emax 0.174 0.176 0.180 imean 12.049 12.017 12.080 imin 11.275 11.308 11.266 imax 12.876 12.868 13.025 excite_mean 0.253 0.254 0.254 fracstop 1.000 1.000 1.000 cjmean 3.068 3.067 3.068 libcent 0 92.2 89.7 94.4 libamp 0 32.5 24.5 40.6 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 176.9 183.0 184.8 kozaiamp 180.0 180.0 180.0