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: 11UM412
# Created Tue Apr 1 01:09:20 2025
# Orbit generated from Bernstein formalism
# Fitting 27 observations of 27
# Arc: 1.43y
# First observation: 2011/08/30
# Last observation: 2013/02/03
Preliminary a, adot, b, bdot, g, gdot:
-0.000284 0.025879 -0.000002 -0.004619 0.024969 0.000000
# Chi-squared of fit: 13.73 DOF: 48 RMS: 0.13
# Min/Max residuals: -0.25 0.28
# Exact a, adot, b, bdot, g, gdot:
1.617280E-05 2.569628E-02 -2.664469E-06 -4.647477E-03 2.513147E-02 2.423153E-03
# Covariance matrix:
5.9008E-13 2.9599E-13 1.9623E-14 -2.0815E-13 7.6160E-13 3.4813E-11
2.9599E-13 7.2584E-13 2.6296E-14 -2.4265E-13 7.1209E-13 3.9979E-11
1.9623E-14 2.6296E-14 1.1127E-13 -1.3440E-13 3.5721E-14 2.2915E-12
-2.0815E-13 -2.4265E-13 -1.3440E-13 3.8737E-13 -3.6089E-13 -2.0910E-11
7.6160E-13 7.1209E-13 3.5721E-14 -3.6089E-13 1.2332E-12 6.0059E-11
3.4813E-11 3.9979E-11 2.2915E-12 -2.0910E-11 6.0059E-11 3.4407E-09
# lat0 lon0 xBary yBary zBary JD0
3.524904 34.197703 0.849827 0.033152 -0.538542 2455804.109986
# Heliocentric elements and errors
Epoch: 2455800.5000 = 2011/08/27
Mean Anomaly: 27.13585 +/- 0.589
Argument of Peri: 125.35593 +/- 0.834
Long of Asc Node: 231.72869 +/- 0.002
Inclination: 10.70726 +/- 0.001
Eccentricity: 0.13752853 +/- 0.0015
Semi-Major Axis: 45.71795169 +/- 0.0187
Time of Perihelion: 2447289.7176 +/- 184.7
Perihelion: 39.43042897 +/- 0.0691
Aphelion: 52.00547441 +/- 0.0705
Period (y) 309.1280 +/- 0.19
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 33.77604583 +/- 0.0015
Ecliptic Y 21.92369554 +/- 0.0010
Ecliptic Z 2.44633787 +/- 0.0001
Ecliptic XDOT -0.00133288 +/- 0.0000
Ecliptic YDOT 0.00248636 +/- 0.0000
Ecliptic ZDOT -0.00048905 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 40.34171869 +/- 0.0013
Geocenter to KBO 39.79074111 +/- 0.0018
# Hcoef: 8.48
The following table shows the complete astrometric record for 11UM412. 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 (11UM412) followed by the observatory code and reference code for the source of the astrometry.
2011 08 30.60922 02 02 48.866 +16 14 01.51 24.6r 11UM412 568 C~1C6Q 2011 09 05.61026 02 02 33.829 +16 12 53.64 24.4r 11UM412 568 C~1C6Q 2011 10 25.35943 01 59 08.235 +15 54 30.73 11UM412 568 C~1C6Q 2011 10 25.41388 01 59 07.959 +15 54 29.07 24.8r 11UM412 568 C~1C6Q 2011 10 26.31804 01 59 03.553 +15 54 03.34 24.2r 11UM412 568 C~1C6Q 2011 10 26.36119 01 59 03.334 +15 54 01.97 24.3r 11UM412 568 C~1C6Q 2011 10 26.41881 01 59 03.042 +15 54 00.15 11UM412 568 C~1C6Q 2011 10 31.26858 01 58 39.464 +15 51 39.66 24.4r 11UM412 568 C~1C6Q 2011 10 31.30918 01 58 39.254 +15 51 38.34 11UM412 568 C~1C6Q 2011 10 31.35747 01 58 39.019 +15 51 37.14 11UM412 568 C~1C6Q 2011 10 31.37121 01 58 38.948 +15 51 36.61 11UM412 568 C~1C6Q 2011 10 31.40998 01 58 38.767 +15 51 35.49 24.5r 11UM412 568 C~1C6Q 2011 10 31.42747 01 58 38.670 +15 51 35.14 11UM412 568 C~1C6Q 2011 10 31.47823 01 58 38.416 +15 51 33.69 24.2r 11UM412 568 C~1C6Q 2011 10 31.48330 01 58 38.394 +15 51 33.29 11UM412 568 C~1C6Q 2011 11 24.30982 01 56 50.313 +15 40 07.20 11UM412 568 C~1C6Q 2011 12 01.32447 01 56 23.218 +15 37 00.29 24.3r 11UM412 568 C~1C6Q 2012 01 26.31723 01 55 11.900 +15 23 22.87 24.5r 11UM412 568 C~1C6Q 2012 01 27.25145 01 55 13.278 +15 23 22.32 11UM412 568 C~1C6Q 2012 08 22.44933 02 09 11.271 +16 29 54.81 24.3r 11UM412 568 C~1C6Q 2012 08 24.56060 02 09 07.914 +16 29 41.74 24.8r 11UM412 568 C~1C6Q 2012 08 24.57765 02 09 07.885 +16 29 41.65 24.5r 11UM412 568 C~1C6Q 2012 10 21.33175 02 05 36.866 +16 11 36.37 24.1r 11UM412 568 C~1C6Q 2012 10 21.35746 02 05 36.737 +16 11 35.95 24.7r 11UM412 568 C~1C6Q 2012 10 21.38354 02 05 36.605 +16 11 34.95 24.4r 11UM412 568 C~1C6Q 2013 01 14.34100 02 01 06.108 +15 39 47.93 24.9r 11UM412 568 C~1C6Q 2013 02 03.25659 02 01 28.714 +15 39 11.08 24.7r 11UM412 568 C~1C6Q
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 -0.00 0.00 -0.05
2 0.0164 -226.72 0.07 10.49 -0.16
3 0.1526 -3389.09 0.13 -2.63 0.03
4 0.1528 -3393.40 0.02 -2.80 -0.04
5 0.1553 -3461.96 0.07 -4.89 0.20
6 0.1554 -3465.40 -0.05 -5.08 0.10
7 0.1555 -3469.98 -0.18 -5.32 -0.03
8 0.1688 -3837.89 0.06 -18.99 -0.03
9 0.1689 -3841.19 -0.14 -19.17 -0.11
10 0.1691 -3844.79 -0.02 -19.12 0.06
11 0.1691 -3845.93 -0.11 -19.26 -0.04
12 0.1692 -3848.77 0.03 -19.41 -0.09
13 0.1692 -3850.20 -0.06 -19.25 0.12
14 0.1694 -3854.15 -0.09 -19.33 0.17
15 0.1694 -3854.58 -0.14 -19.60 -0.08
16 0.2346 -5556.99 0.09 -119.16 -0.15
17 0.2538 -5989.35 -0.02 -157.46 0.28
18 0.4071 -7242.63 0.24 -561.92 0.09
19 0.4097 -7224.14 0.15 -569.44 -0.12
20 0.9797 5502.26 0.25 -969.07 -0.06
21 0.9855 5452.36 0.10 -965.19 -0.13
22 0.9855 5451.94 0.12 -965.14 -0.11
23 1.1437 2225.29 -0.19 -961.77 -0.13
24 1.1437 2223.39 -0.12 -961.54 0.15
25 1.1438 2221.27 -0.25 -961.83 -0.10
26 1.3764 -2097.57 -0.13 -1419.32 0.12
27 1.4309 -1803.70 0.18 -1566.36 0.12
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.
11UM412 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 45.824 45.887 45.766 ecceobj 0.140 0.144 0.136 incobj 10.701 10.701 10.701 qmin 38.660 38.688 38.785 qmax 52.591 52.607 52.308 amean 45.447 45.492 45.389 amin 45.071 45.110 45.009 amax 45.851 45.909 45.804 emean 0.133 0.136 0.129 emin 0.119 0.123 0.116 emax 0.148 0.147 0.143 imean 12.120 12.037 12.107 imin 11.592 11.546 11.593 imax 12.570 12.440 12.546 excite_mean 0.248 0.249 0.246 fracstop 1.000 1.000 1.000 cjmean 3.043 3.043 3.044 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 185.6 180.4 184.7 kozaiamp 180.0 179.9 180.0