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: 11UL412
# Created Wed Dec 25 02:09:13 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 23 observations of 23
# Arc: 8.16y
# First observation: 2011/08/30
# Last observation: 2019/10/26
# Chi-squared of fit: 7.64 DOF: 40 RMS: 0.10
# Min/Max residuals: -0.20 0.19
# Exact a, adot, b, bdot, g, gdot:
1.435687E-05 2.236481E-02 -2.865102E-06 -3.654250E-03 2.365910E-02 2.324223E-03
# Covariance matrix:
1.9961E-13 -7.0024E-14 -4.4854E-15 1.0110E-14 1.2275E-13 -3.4704E-13
-7.0024E-14 4.0060E-13 2.1457E-14 -6.8697E-14 1.1328E-13 2.3382E-12
-4.4854E-15 2.1457E-14 7.9655E-14 -1.7510E-14 4.5772E-15 1.2942E-13
1.0110E-14 -6.8697E-14 -1.7510E-14 2.4845E-14 -1.9892E-14 -4.1408E-13
1.2275E-13 1.1328E-13 4.5772E-15 -1.9892E-14 2.0457E-13 6.7343E-13
-3.4704E-13 2.3382E-12 1.2942E-13 -4.1408E-13 6.7343E-13 1.4094E-11
# lat0 lon0 xBary yBary zBary JD0
4.950168 32.740203 0.836838 0.048254 -0.557491 2455804.008306
# Heliocentric elements and errors
Epoch: 2455804.5000 = 2011/08/31
Mean Anomaly: 77.90756 +/- 0.045
Argument of Peri: 64.28600 +/- 0.042
Long of Asc Node: 239.50830 +/- 0.001
Inclination: 10.35146 +/- 0.000
Eccentricity: 0.08353532 +/- 0.0002
Semi-Major Axis: 43.29877462 +/- 0.0040
Time of Perihelion: 2433283.4343 +/- 13.4
Perihelion: 39.68179778 +/- 0.0081
Aphelion: 46.91575145 +/- 0.0085
Period (y) 284.9191 +/- 0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 36.34617671 +/- 0.0007
Ecliptic Y 22.37401622 +/- 0.0004
Ecliptic Z 3.64709513 +/- 0.0001
Ecliptic XDOT -0.00114679 +/- 0.0000
Ecliptic YDOT 0.00234696 +/- 0.0000
Ecliptic ZDOT -0.00039803 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 42.83617515 +/- 0.0006
Geocenter to KBO 42.26700068 +/- 0.0008
# Hcoef: 7.63
The following table shows the complete astrometric record for 11UL412. 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 (11UL412) followed by the observatory code and reference code for the source of the astrometry.
2011 08 30.50754 01 55 03.637 +17 04 02.66 23.9r 11UL412 568 C~1C6Q 2011 08 30.55405 01 55 03.509 +17 04 02.13 11UL412 568 C~1C6Q 2011 08 30.60048 01 55 03.405 +17 04 01.81 23.7r 11UL412 568 C~1C6Q 2011 09 05.60174 01 54 47.867 +17 03 01.59 23.8r 11UL412 568 C~1C6Q 2011 10 25.35082 01 51 26.571 +16 45 42.05 23.7r 11UL412 568 C~1C6Q 2011 10 25.40068 01 51 26.327 +16 45 40.61 11UL412 568 C~1C6Q 2011 10 26.29977 01 51 22.138 +16 45 15.81 23.8r 11UL412 568 C~1C6Q 2011 10 26.30951 01 51 22.094 +16 45 15.59 23.8r 11UL412 568 C~1C6Q 2011 10 26.35267 01 51 21.894 +16 45 14.38 23.8r 11UL412 568 C~1C6Q 2011 10 26.41016 01 51 21.612 +16 45 12.71 23.8r 11UL412 568 C~1C6Q 2011 10 31.40135 01 50 58.445 +16 42 53.44 23.7r 11UL412 568 C~1C6Q 2011 10 31.44834 01 50 58.218 +16 42 52.11 23.9r 11UL412 568 C~1C6Q 2011 11 24.27497 01 49 16.060 +16 31 44.09 23.8r 11UL412 568 C~1C6Q 2011 11 30.32106 01 48 54.093 +16 29 04.39 24.1r 11UL412 568 C~1C6Q 2012 01 26.30218 01 47 48.470 +16 14 39.29 23.9r 11UL412 568 C~1C6Q 2012 01 27.23615 01 47 49.878 +16 14 38.19 24.4r 11UL412 568 C~1C6Q 2012 08 17.57715 02 00 45.272 +17 19 59.22 24.1r 11UL412 568 C~1C6Q 2012 08 24.53489 02 00 34.504 +17 19 32.86 24.1r 11UL412 568 C~1C6Q 2012 10 17.37819 01 57 23.311 +17 04 21.25 23.9r 11UL412 568 C~1C6Q 2013 01 14.34579 01 52 53.748 +16 31 04.71 23.6r 11UL412 568 C~1C6Q 2013 02 06.27606 01 53 24.393 +16 30 18.21 24.2r 11UL412 568 C~1C6Q 2019 10 26.390410 02 34 07.389 +18 31 53.45 23.8G 11UL412 G37 C~3chz 2019 10 26.475820 02 34 06.981 +18 31 51.44 11UL412 G37 C~3chz
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 0.12
2 0.0001 0.00 -0.13 0.00 -0.01
3 0.0003 0.00 0.02 0.00 0.07
4 0.0167 0.00 0.06 0.00 -0.08
5 0.1529 0.00 0.07 0.00 -0.13
6 0.1530 0.00 -0.03 0.00 -0.20
7 0.1555 0.00 -0.05 0.00 -0.14
8 0.1555 0.00 -0.02 0.00 -0.09
9 0.1556 0.00 0.05 0.00 -0.11
10 0.1558 0.00 -0.08 0.00 -0.20
11 0.1695 0.00 0.14 0.00 0.06
12 0.1696 0.00 0.05 0.00 0.06
13 0.2348 0.00 -0.12 0.00 0.19
14 0.2514 0.00 -0.09 0.00 0.10
15 0.4074 0.00 -0.07 0.00 -0.12
16 0.4099 0.00 0.06 0.00 0.08
17 0.9667 0.00 -0.10 0.00 0.19
18 0.9857 0.00 -0.12 0.00 0.07
19 1.1331 0.00 0.18 0.00 -0.04
20 1.3767 0.00 -0.03 0.00 0.01
21 1.4395 0.00 -0.04 0.00 0.15
22 8.1557 0.00 0.03 0.00 -0.03
23 8.1560 0.00 -0.01 0.00 -0.02
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.
11UL412 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.386 43.386 43.386 ecceobj 0.085 0.085 0.085 incobj 10.346 10.346 10.346 qmin 38.771 38.791 38.792 qmax 47.628 47.580 47.617 amean 43.091 43.091 43.091 amin 42.753 42.747 42.747 amax 43.455 43.448 43.457 emean 0.082 0.082 0.082 emin 0.067 0.067 0.067 emax 0.097 0.096 0.097 imean 11.963 11.963 11.963 imin 11.323 11.329 11.325 imax 12.580 12.579 12.579 excite_mean 0.223 0.223 0.223 fracstop 1.000 1.000 1.000 cjmean 3.031 3.031 3.031 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 181.4 181.4 181.4 kozaiamp 180.0 180.0 180.0