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: 11UM411
# Created Sun Nov 24 02:09:12 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 20 observations of 20
# Arc: 11.10y
# First observation: 2011/10/24
# Last observation: 2022/11/28
# Chi-squared of fit: 12.69 DOF: 34 RMS: 0.14
# Min/Max residuals: -0.34 0.32
# Exact a, adot, b, bdot, g, gdot:
1.355469E-05 1.739517E-02 2.707438E-06 2.710047E-03 2.108965E-02 -1.112552E-04
# Covariance matrix:
1.7640E-13 -9.8726E-14 8.0372E-15 -1.3849E-14 3.7021E-14 -4.7476E-13
-9.8726E-14 1.6322E-13 -1.4563E-14 2.5970E-14 -3.3615E-14 8.9090E-13
8.0372E-15 -1.4563E-14 1.3211E-13 -1.6693E-14 9.2850E-15 -8.2318E-14
-1.3849E-14 2.5970E-14 -1.6693E-14 8.0440E-15 -7.2661E-15 1.4540E-13
3.7021E-14 -3.3615E-14 9.2850E-15 -7.2661E-15 3.7569E-13 -2.4327E-13
-4.7476E-13 8.9090E-13 -8.2318E-14 1.4540E-13 -2.4327E-13 4.9872E-12
# lat0 lon0 xBary yBary zBary JD0
3.183459 30.693192 0.002480 0.055053 -0.989726 2455858.934056
# Heliocentric elements and errors
Epoch: 2455858.5000 = 2011/10/24
Mean Anomaly: 183.10166 +/- 0.051
Argument of Peri: 197.17261 +/- 0.043
Long of Asc Node: 11.39802 +/- 0.000
Inclination: 9.36333 +/- 0.000
Eccentricity: 0.14096996 +/- 0.0001
Semi-Major Axis: 42.43462640 +/- 0.0044
Time of Perihelion: 2505472.0435 +/- 16.3
Perihelion: 36.45261878 +/- 0.0054
Aphelion: 48.41663402 +/- 0.0063
Period (y) 276.4323 +/- 0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 41.56807678 +/- 0.0012
Ecliptic Y 24.67141160 +/- 0.0007
Ecliptic Z 2.63331797 +/- 0.0001
Ecliptic XDOT -0.00118552 +/- 0.0000
Ecliptic YDOT 0.00192965 +/- 0.0000
Ecliptic ZDOT 0.00035054 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 48.40989910 +/- 0.0011
Geocenter to KBO 47.41665968 +/- 0.0014
# Hcoef: 7.33
The following table shows the complete astrometric record for 11UM411. 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 (11UM411) followed by the observatory code and reference code for the source of the astrometry.
2011 10 24.43329 01 49 41.793 +14 41 43.19 23.9r 11UM411 568 C~1C6O 2011 10 24.47598 01 49 41.607 +14 41 42.29 24.3r 11UM411 568 C~1C6O 2011 10 24.51878 01 49 41.422 +14 41 41.33 23.9r 11UM411 568 C~1C6O 2011 10 29.33738 01 49 21.006 +14 39 56.05 11UM411 568 C~1C6O 2011 10 30.55522 01 49 15.844 +14 39 28.92 24.0r 11UM411 568 C~1C6O 2011 11 24.26645 01 47 39.023 +14 30 40.03 11UM411 568 C~1C6O 2012 01 26.25193 01 46 13.184 +14 20 29.88 24.0r 11UM411 568 C~1C6O 2012 08 23.55493 01 56 48.203 +15 26 16.84 24.4r 11UM411 568 C~1C6O 2012 08 24.58617 01 56 46.331 +15 26 12.61 11UM411 568 C~1C6O 2012 10 17.41666 01 53 47.309 +15 13 45.21 11UM411 568 C~1C6O 2012 10 20.51348 01 53 34.129 +15 12 40.25 23.9r 11UM411 568 C~1C6O 2013 02 06.28578 01 50 04.286 +14 50 55.72 24.2r 11UM411 568 C~1C6O 2015 11 08.24266 02 03 18.65 +16 34 21.5 23.7R 11UM411 G37 C~1ddG 2015 11 08.30639 02 03 18.39 +16 34 19.8 11UM411 G37 C~1ddG 2020 10 20.294700 02 23 22.561 +19 02 23.57 24.0G 11UM411 G37 C~4KuJ 2020 10 20.347370 02 23 22.336 +19 02 22.92 11UM411 G37 C~4KuJ 2020 10 20.400720 02 23 22.106 +19 02 21.81 11UM411 G37 C~4KuJ 2022 11 28.090160 02 28 19.414 +19 44 54.84 24.1G 11UM411 G37 C~6730 2022 11 28.141140 02 28 19.200 +19 44 53.87 11UM411 G37 C~6730 2022 11 28.193080 02 28 18.994 +19 44 52.73 11UM411 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 -0.05 0.00 -0.17
2 0.0001 0.00 -0.07 0.00 -0.14
3 0.0002 0.00 -0.07 0.00 -0.16
4 0.0134 0.00 0.10 0.00 0.04
5 0.0168 0.00 -0.04 0.00 -0.27
6 0.0844 0.00 0.08 0.00 0.03
7 0.2569 0.00 -0.17 0.00 0.22
8 0.8326 0.00 -0.06 0.00 -0.05
9 0.8355 0.00 0.01 0.00 0.10
10 0.9828 0.00 0.17 0.00 0.10
11 0.9913 0.00 0.15 0.00 0.16
12 1.2891 0.00 0.21 0.00 -0.02
13 4.0405 0.00 -0.34 0.00 0.32
14 4.0407 0.00 -0.16 0.00 -0.01
15 8.9907 0.00 0.01 0.00 -0.23
16 8.9909 0.00 0.11 0.00 0.08
17 8.9910 0.00 0.17 0.00 -0.05
18 11.0956 0.00 0.06 0.00 0.01
19 11.0957 0.00 -0.10 0.00 0.05
20 11.0959 0.00 -0.08 0.00 -0.05
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.
11UM411 quality flag:3 Type: 5:3EE 5:3EE 5:3EE axisobj 42.509 42.509 42.509 ecceobj 0.139 0.139 0.139 incobj 9.352 9.352 9.352 qmin 34.738 34.738 34.738 qmax 50.299 50.299 50.299 amean 42.328 42.328 42.328 amin 41.921 41.921 41.921 amax 42.764 42.763 42.765 emean 0.157 0.157 0.157 emin 0.137 0.137 0.137 emax 0.177 0.177 0.177 imean 9.126 9.126 9.126 imin 8.356 8.357 8.356 imax 9.998 9.998 9.998 excite_mean 0.223 0.223 0.223 fracstop 1.000 1.000 1.000 cjmean 3.023 3.023 3.023 libcent 0 179.9 180.0 179.9 libamp 0 51.4 51.4 51.4 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 175.5 175.5 175.6 kozaiamp 179.9 180.0 179.9