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: 11UT411
# Created Sun Dec 22 02:09:17 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 23 observations of 23
# Arc: 11.25y
# First observation: 2011/08/29
# Last observation: 2022/11/28
# Chi-squared of fit: 13.05 DOF: 40 RMS: 0.13
# Min/Max residuals: -0.38 0.26
# Exact a, adot, b, bdot, g, gdot:
1.475145E-05 1.654109E-02 2.707354E-06 1.636537E-03 1.973030E-02 -6.862153E-03
# Covariance matrix:
2.9581E-13 -1.3294E-13 3.3308E-15 -1.5928E-14 2.0644E-13 -7.4610E-13
-1.3294E-13 4.0453E-13 -1.7547E-14 4.6786E-14 4.1907E-14 2.2070E-12
3.3308E-15 -1.7547E-14 7.9132E-14 -1.0250E-14 -4.4554E-15 -9.5970E-14
-1.5928E-14 4.6786E-14 -1.0250E-14 9.4080E-15 3.2211E-15 2.5821E-13
2.0644E-13 4.1907E-14 -4.4554E-15 3.2211E-15 2.7406E-13 1.5840E-13
-7.4610E-13 2.2070E-12 -9.5970E-14 2.5821E-13 1.5840E-13 1.2179E-11
# lat0 lon0 xBary yBary zBary JD0
2.939247 32.652364 0.844985 0.028055 -0.546915 2455803.068576
# Heliocentric elements and errors
Epoch: 2455802.5000 = 2011/08/29
Mean Anomaly: 304.49851 +/- 0.016
Argument of Peri: 129.44172 +/- 0.012
Long of Asc Node: 4.81027 +/- 0.001
Inclination: 6.40591 +/- 0.000
Eccentricity: 0.40310869 +/- 0.0002
Semi-Major Axis: 55.88616822 +/- 0.0089
Time of Perihelion: 2479328.9860 +/- 31.4
Perihelion: 33.35796800 +/- 0.0118
Aphelion: 78.41436843 +/- 0.0163
Period (y) 417.7964 +/- 0.10
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 43.53756778 +/- 0.0011
Ecliptic Y 26.89515766 +/- 0.0007
Ecliptic Z 2.59905236 +/- 0.0001
Ecliptic XDOT -0.00205204 +/- 0.0000
Ecliptic YDOT 0.00141859 +/- 0.0000
Ecliptic ZDOT 0.00017803 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 51.24113588 +/- 0.0010
Geocenter to KBO 50.68376381 +/- 0.0013
# Hcoef: 7.53
The following table shows the complete astrometric record for 11UT411. 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 (11UT411) followed by the observatory code and reference code for the source of the astrometry.
2011 08 29.56781 01 57 38.171 +15 09 07.13 11UT411 568 C~1C6O 2011 09 05.55403 01 57 22.767 +15 08 12.78 24.4r 11UT411 568 C~1C6O 2011 10 25.32003 01 54 30.228 +14 54 50.74 24.5r 11UT411 568 C~1C6O 2011 10 25.36849 01 54 30.037 +14 54 49.97 24.3r 11UT411 568 C~1C6O 2011 10 25.42298 01 54 29.801 +14 54 48.93 24.5r 11UT411 568 C~1C6O 2011 10 25.47742 01 54 29.594 +14 54 47.74 11UT411 568 C~1C6O 2011 10 25.48274 01 54 29.552 +14 54 47.65 24.7r 11UT411 568 C~1C6O 2011 10 26.27399 01 54 26.404 +14 54 31.26 24.5r 11UT411 568 C~1C6O 2011 10 26.32667 01 54 26.195 +14 54 30.05 24.6r 11UT411 568 C~1C6O 2011 10 26.36985 01 54 26.016 +14 54 28.97 24.5r 11UT411 568 C~1C6O 2011 10 31.37555 01 54 05.992 +14 52 44.59 11UT411 568 C~1C6O 2011 10 31.54242 01 54 05.331 +14 52 40.89 24.1r 11UT411 568 C~1C6O 2011 11 24.28776 01 52 36.972 +14 44 35.36 24.6r 11UT411 568 C~1C6O 2011 11 30.32972 01 52 17.634 +14 42 42.69 11UT411 568 C~1C6O 2012 01 27.33942 01 51 12.103 +14 34 24.49 24.5r 11UT411 568 C~1C6O 2012 08 17.56862 02 01 31.158 +15 34 58.21 11UT411 568 C~1C6O 2012 08 24.52636 02 01 21.329 +15 34 37.72 24.5r 11UT411 568 C~1C6O 2012 10 17.37393 01 58 34.873 +15 22 44.74 24.4r 11UT411 568 C~1C6O 2012 10 20.46885 01 58 22.414 +15 21 42.81 24.7r 11UT411 568 C~1C6O 2013 02 03.26646 01 54 51.375 +14 59 57.38 24.7r 11UT411 568 C~1C6O 2022 11 28.236580 02 35 32.691 +19 29 51.80 24.1G 11UT411 G37 C~6730 2022 11 28.287610 02 35 32.486 +19 29 50.91 11UT411 G37 C~6730 2022 11 28.337030 02 35 32.272 +19 29 49.72 11UT411 G37 C~6730
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 -0.20 0.00 -0.38
2 0.0191 0.00 0.09 0.00 -0.13
3 0.1554 0.00 0.04 0.00 -0.16
4 0.1555 0.00 0.14 0.00 0.07
5 0.1557 0.00 -0.06 0.00 0.16
6 0.1558 0.00 0.16 0.00 0.10
7 0.1558 0.00 -0.14 0.00 0.12
8 0.1580 0.00 0.03 0.00 0.16
9 0.1581 0.00 0.11 0.00 0.04
10 0.1583 0.00 0.06 0.00 -0.15
11 0.1720 0.00 -0.20 0.00 0.08
12 0.1724 0.00 -0.00 0.00 -0.10
13 0.2374 0.00 -0.20 0.00 -0.02
14 0.2540 0.00 -0.05 0.00 -0.19
15 0.4128 0.00 0.26 0.00 0.02
16 0.9692 0.00 0.03 0.00 0.22
17 0.9883 0.00 -0.03 0.00 0.24
18 1.1357 0.00 -0.02 0.00 -0.07
19 1.1442 0.00 -0.01 0.00 -0.03
20 1.4338 0.00 -0.16 0.00 -0.02
21 11.2489 0.00 0.02 0.00 -0.03
22 11.2491 0.00 0.08 0.00 0.10
23 11.2492 0.00 -0.11 0.00 -0.10
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.
11UT411 quality flag:3 Type: 5:2EEE 5:2EEE 5:2EEE axisobj 56.025 56.024 56.025 ecceobj 0.403 0.403 0.403 incobj 6.398 6.398 6.398 qmin 32.575 32.582 32.587 qmax 80.141 80.055 80.056 amean 55.463 55.463 55.463 amin 54.582 54.566 54.579 amax 56.616 56.593 56.600 emean 0.402 0.402 0.402 emin 0.390 0.390 0.390 emax 0.416 0.415 0.415 imean 6.896 6.899 6.892 imin 6.623 6.618 6.626 imax 7.227 7.251 7.227 excite_mean 0.419 0.419 0.419 fracstop 1.000 1.000 1.000 cjmean 3.011 3.011 3.011 libcent 0 180.2 180.0 179.7 libamp 0 140.5 139.6 139.8 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 183.5 180.6 184.7 kozaiamp 180.0 179.9 180.0