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: 11UO412
# Created Fri Nov 22 02:09:15 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 28 observations of 28
# Arc: 6.29y
# First observation: 2011/09/05
# Last observation: 2017/12/20
# Chi-squared of fit: 14.60 DOF: 50 RMS: 0.13
# Min/Max residuals: -0.44 0.53
# Exact a, adot, b, bdot, g, gdot:
1.359032E-05 2.413440E-02 7.119794E-06 1.255801E-02 2.687479E-02 4.001634E-03
# Covariance matrix:
1.8595E-13 -9.6135E-14 2.1366E-14 -5.7245E-14 1.1164E-13 -7.9877E-13
-9.6135E-14 2.4549E-13 -5.6047E-14 1.4721E-13 2.6769E-14 2.0136E-12
2.1366E-14 -5.6047E-14 8.8831E-14 -6.7781E-14 -3.7296E-15 -5.5238E-13
-5.7245E-14 1.4721E-13 -6.7781E-14 1.4588E-13 8.2833E-15 1.4525E-12
1.1164E-13 2.6769E-14 -3.7296E-15 8.2833E-15 1.6591E-13 9.2042E-14
-7.9877E-13 2.0136E-12 -5.5238E-13 1.4525E-12 9.2042E-14 1.9889E-11
# lat0 lon0 xBary yBary zBary JD0
4.168930 30.060107 0.742684 0.049207 -0.675311 2455810.089596
# Heliocentric elements and errors
Epoch: 2455810.5000 = 2011/09/06
Mean Anomaly: 78.66263 +/- 0.037
Argument of Peri: 275.51771 +/- 0.031
Long of Asc Node: 21.10833 +/- 0.000
Inclination: 27.73054 +/- 0.000
Eccentricity: 0.12766884 +/- 0.0002
Semi-Major Axis: 38.23992773 +/- 0.0040
Time of Perihelion: 2436937.5411 +/- 9.3
Perihelion: 33.35788042 +/- 0.0071
Aphelion: 43.12197504 +/- 0.0076
Period (y) 236.4742 +/- 0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 33.08115958 +/- 0.0005
Ecliptic Y 18.28681398 +/- 0.0003
Ecliptic Z 2.70531195 +/- 0.0000
Ecliptic XDOT -0.00096338 +/- 0.0000
Ecliptic YDOT 0.00229042 +/- 0.0000
Ecliptic ZDOT 0.00130565 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 37.89569362 +/- 0.0004
Geocenter to KBO 37.20953345 +/- 0.0006
# Hcoef: 7.85
The following table shows the complete astrometric record for 11UO412. 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 (11UO412) followed by the observatory code and reference code for the source of the astrometry.
2011 09 05.58883 01 45 48.004 +15 23 31.13 23.8r 11UO412 568 C~1C6Q 2011 10 25.33804 01 41 43.800 +15 09 28.35 23.5r 11UO412 568 C~1C6Q 2011 10 25.38684 01 41 43.524 +15 09 27.14 23.3r 11UO412 568 C~1C6Q 2011 10 25.43648 01 41 43.250 +15 09 25.97 23.5r 11UO412 568 C~1C6Q 2011 10 25.44205 01 41 43.221 +15 09 25.87 23.4r 11UO412 568 C~1C6Q 2011 10 25.44723 01 41 43.187 +15 09 25.69 23.5r 11UO412 568 C~1C6Q 2011 10 25.45234 01 41 43.152 +15 09 25.73 23.3r 11UO412 568 C~1C6Q 2011 10 25.45781 01 41 43.125 +15 09 25.47 23.4r 11UO412 568 C~1C6Q 2011 10 26.28698 01 41 38.589 +15 09 05.98 23.4r 11UO412 568 C~1C6Q 2011 10 26.33962 01 41 38.293 +15 09 04.74 23.4r 11UO412 568 C~1C6Q 2011 10 26.38266 01 41 38.053 +15 09 03.78 23.6r 11UO412 568 C~1C6Q 2011 10 26.39884 01 41 37.969 +15 09 03.38 11UO412 568 C~1C6Q 2011 10 26.40555 01 41 37.929 +15 09 03.29 23.4r 11UO412 568 C~1C6Q 2011 11 24.23661 01 39 11.954 +14 57 52.42 23.7r 11UO412 568 C~1C6Q 2011 11 26.45630 01 39 02.382 +14 57 05.58 23.6r 11UO412 568 C~1C6Q 2012 01 25.29229 01 37 30.468 +14 49 11.90 24.3r 11UO412 568 C~1C6Q 2012 01 26.27710 01 37 32.019 +14 49 20.40 24.0r 11UO412 568 C~1C6Q 2012 08 17.58141 01 50 57.149 +16 33 14.57 23.6r 11UO412 568 C~1C6Q 2012 08 17.59430 01 50 57.136 +16 33 14.75 23.8r 11UO412 568 C~1C6Q 2012 08 17.60362 01 50 57.109 +16 33 14.78 23.5r 11UO412 568 C~1C6Q 2012 08 22.44017 01 50 46.685 +16 33 30.49 23.6r 11UO412 568 C~1C6Q 2012 08 24.53923 01 50 41.473 +16 33 33.31 23.7r 11UO412 568 C~1C6Q 2012 10 17.38671 01 46 43.777 +16 22 41.64 23.4r 11UO412 568 C~1C6Q 2012 10 20.48174 01 46 26.646 +16 21 33.01 23.4r 11UO412 568 C~1C6Q 2013 01 14.35013 01 41 32.955 +15 57 27.33 23.7r 11UO412 568 C~1C6Q 2013 02 03.27546 01 42 00.499 +15 59 31.74 23.8r 11UO412 568 C~1C6Q 2017 12 20.10524 02 03 34.269 +21 38 02.84 23.1R 11UO412 G37 C~2UwX 2017 12 20.17681 02 03 34.043 +21 38 00.46 11UO412 G37 C~2UwX
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 0.10 0.00 0.10
2 0.1362 0.00 -0.03 0.00 0.05
3 0.1363 0.00 -0.08 0.00 -0.02
4 0.1365 0.00 -0.02 0.00 -0.02
5 0.1365 0.00 0.01 0.00 0.01
6 0.1365 0.00 -0.07 0.00 -0.05
7 0.1365 0.00 -0.16 0.00 0.11
8 0.1365 0.00 -0.11 0.00 -0.02
9 0.1388 0.00 -0.06 0.00 0.03
10 0.1389 0.00 -0.10 0.00 0.02
11 0.1391 0.00 -0.10 0.00 0.07
12 0.1391 0.00 -0.00 0.00 0.05
13 0.1391 0.00 -0.04 0.00 0.12
14 0.2181 0.00 0.02 0.00 -0.05
15 0.2241 0.00 0.24 0.00 -0.05
16 0.3880 0.00 -0.08 0.00 0.07
17 0.3907 0.00 -0.12 0.00 -0.02
18 0.9500 0.00 -0.02 0.00 -0.17
19 0.9500 0.00 0.18 0.00 -0.05
20 0.9501 0.00 0.05 0.00 -0.06
21 0.9633 0.00 0.03 0.00 -0.10
22 0.9691 0.00 0.00 0.00 -0.09
23 1.1165 0.00 0.10 0.00 -0.12
24 1.1250 0.00 -0.10 0.00 -0.05
25 1.3601 0.00 0.14 0.00 0.07
26 1.4146 0.00 0.16 0.00 0.01
27 6.2903 0.00 0.05 0.00 0.53
28 6.2905 0.00 -0.13 0.00 -0.44
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.
11UO412 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 38.300 38.300 38.300 ecceobj 0.129 0.129 0.129 incobj 27.709 27.709 27.709 qmin 32.735 32.729 32.796 qmax 43.707 43.657 43.695 amean 38.095 38.093 38.093 amin 37.796 37.796 37.793 amax 38.418 38.417 38.425 emean 0.116 0.116 0.115 emin 0.095 0.094 0.093 emax 0.138 0.138 0.138 imean 27.384 27.386 27.389 imin 26.601 26.601 26.612 imax 28.105 28.111 28.105 excite_mean 0.474 0.474 0.474 fracstop 1.000 1.000 1.000 cjmean 2.774 2.774 2.774 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 182.9 182.1 182.3 kozaiamp 179.9 179.9 179.9