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: 11UD412
# Created Wed May 8 01:14:01 2024
# Orbit generated from Bernstein formalism
# Fitting 25 observations of 25
# Arc: 4.11y
# First observation: 2011/08/29
# Last observation: 2015/10/09
Preliminary a, adot, b, bdot, g, gdot:
-0.000181 0.021968 -0.000011 0.001755 0.022678 0.000000
# Chi-squared of fit: 9.76 DOF: 44 RMS: 0.11
# Min/Max residuals: -0.20 0.25
# Exact a, adot, b, bdot, g, gdot:
1.463324E-05 2.168680E-02 1.026530E-07 1.727459E-03 2.281145E-02 -6.180634E-04
# Covariance matrix:
2.2058E-13 -1.0944E-13 2.8410E-15 -6.8264E-15 9.8392E-14 -8.3698E-13
-1.0944E-13 2.8113E-13 -9.8864E-15 2.4465E-14 6.9334E-14 3.3249E-12
2.8410E-15 -9.8864E-15 1.0407E-13 -4.0595E-14 -2.7334E-15 -1.3335E-13
-6.8264E-15 2.4465E-14 -4.0595E-14 3.7139E-14 7.0117E-15 3.3021E-13
9.8392E-14 6.9334E-14 -2.7334E-15 7.0117E-15 1.6297E-13 1.0633E-12
-8.3698E-13 3.3249E-12 -1.3335E-13 3.3021E-13 1.0633E-12 4.4976E-11
# lat0 lon0 xBary yBary zBary JD0
3.027835 32.312851 0.842156 0.029127 -0.551239 2455803.024546
# Heliocentric elements and errors
Epoch: 2455800.5000 = 2011/08/27
Mean Anomaly: 304.01345 +/- 0.161
Argument of Peri: 94.47812 +/- 0.197
Long of Asc Node: 358.29245 +/- 0.003
Inclination: 5.48722 +/- 0.000
Eccentricity: 0.05523565 +/- 0.0003
Semi-Major Axis: 45.71283603 +/- 0.0033
Time of Perihelion: 2473356.9580 +/- 50.4
Perihelion: 43.18785786 +/- 0.0123
Aphelion: 48.23781420 +/- 0.0124
Period (y) 309.0761 +/- 0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 37.91736094 +/- 0.0007
Ecliptic Y 22.98491768 +/- 0.0004
Ecliptic Z 2.31557901 +/- 0.0000
Ecliptic XDOT -0.00146635 +/- 0.0000
Ecliptic YDOT 0.00215975 +/- 0.0000
Ecliptic ZDOT 0.00020318 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 44.40038972 +/- 0.0006
Geocenter to KBO 43.83763958 +/- 0.0008
# Hcoef: 6.91
The following table shows the complete astrometric record for 11UD412. 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 (11UD412) followed by the observatory code and reference code for the source of the astrometry.
2011 08 29.52378 01 56 11.475 +15 07 01.88 23.6r 11UD412 568 C~1C6P 2011 08 29.56781 01 56 11.377 +15 07 01.47 23.5r 11UD412 568 C~1C6P 2011 08 29.61470 01 56 11.255 +15 07 01.12 23.4r 11UD412 568 C~1C6P 2011 09 05.55403 01 55 54.028 +15 06 00.46 23.2r 11UD412 568 C~1C6P 2011 10 24.43329 01 52 42.820 +14 51 08.14 23.2r 11UD412 568 C~1C6P 2011 10 24.47598 01 52 42.620 +14 51 07.10 23.2r 11UD412 568 C~1C6P 2011 10 24.51878 01 52 42.424 +14 51 06.09 23.0r 11UD412 568 C~1C6P 2011 10 31.53810 01 52 10.711 +14 48 19.05 23.3r 11UD412 568 C~1C6P 2011 11 24.28350 01 50 31.496 +14 39 06.03 23.3r 11UD412 568 C~1C6P 2012 01 25.27722 01 49 00.350 +14 27 48.01 23.4r 11UD412 568 C~1C6P 2012 01 26.26197 01 49 01.590 +14 27 51.30 23.3r 11UD412 568 C~1C6P 2012 01 27.31913 01 49 02.971 +14 27 55.23 23.6r 11UD412 568 C~1C6P 2012 01 27.33942 01 49 03.009 +14 27 55.26 23.7r 11UD412 568 C~1C6P 2012 08 17.56862 02 01 13.158 +15 39 11.41 23.5r 11UD412 568 C~1C6P 2012 08 24.52636 02 01 02.459 +15 38 50.84 23.3r 11UD412 568 C~1C6P 2012 10 17.37393 01 57 55.913 +15 25 33.54 23.2r 11UD412 568 C~1C6P 2012 10 20.46885 01 57 41.878 +15 24 23.54 23.2r 11UD412 568 C~1C6P 2013 02 02.26555 01 53 49.765 +14 59 58.32 23.7r 11UD412 568 C~1C6P 2013 02 03.26646 01 53 51.687 +15 00 05.15 11UD412 568 C~1C6P 2013 09 30.48442 02 03 56.30 +16 02 58.0 11UD412 568 C~1CKy 2013 09 30.56006 02 03 55.99 +16 02 56.6 11UD412 568 C~1CKy 2013 09 30.63607 02 03 55.68 +16 02 55.2 11UD412 568 C~1CKy 2015 10 09.41854 02 12 58.696 +17 02 18.61 23.4w 11UD412 568 C~2jM3 2015 10 09.46193 02 12 58.508 +17 02 17.70 23.5w 11UD412 568 C~2jM3 2015 10 09.49526 02 12 58.358 +17 02 17.10 23.3w 11UD412 568 C~2jM3
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 0.08 0.00 0.23
2 0.0001 -1.47 0.10 0.11 0.12
3 0.0002 -3.25 -0.09 0.40 0.18
4 0.0192 -258.23 -0.05 30.45 0.11
5 0.1531 -3166.20 0.09 165.03 -0.17
6 0.1532 -3169.29 0.03 165.08 -0.19
7 0.1533 -3172.30 0.05 165.13 -0.19
8 0.1725 -3661.66 0.02 170.75 -0.09
9 0.2375 -5204.26 -0.03 161.96 -0.09
10 0.4073 -6683.29 -0.02 -2.27 -0.02
11 0.4100 -6665.26 0.20 -5.61 -0.09
12 0.4129 -6645.10 -0.19 -9.07 -0.05
13 0.4129 -6644.57 -0.06 -9.24 -0.15
14 0.9693 4761.88 -0.08 303.24 0.25
15 0.9884 4609.58 -0.20 336.91 0.11
16 1.1358 1803.31 0.01 517.63 -0.09
17 1.1443 1588.66 -0.05 522.28 0.06
18 1.4312 -2071.32 -0.06 320.53 0.15
19 1.4339 -2042.84 0.00 317.16 0.13
20 2.0889 7463.90 0.08 841.26 -0.01
21 2.0891 7459.21 0.09 841.46 -0.05
22 2.0893 7454.53 0.12 841.66 -0.08
23 4.1120 16033.82 -0.01 1590.97 0.03
24 4.1121 16030.96 -0.00 1591.00 -0.06
25 4.1122 16028.72 -0.04 1591.14 -0.01
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.
11UD412 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 45.811 45.821 45.801 ecceobj 0.056 0.055 0.056 incobj 5.483 5.483 5.483 qmin 42.183 42.226 42.200 qmax 48.947 48.966 48.950 amean 45.478 45.476 45.460 amin 45.111 45.110 45.103 amax 45.864 45.851 45.833 emean 0.056 0.056 0.056 emin 0.044 0.043 0.043 emax 0.068 0.068 0.068 imean 5.908 5.905 5.903 imin 5.507 5.505 5.496 imax 6.316 6.312 6.315 excite_mean 0.117 0.117 0.117 fracstop 1.000 1.000 1.000 cjmean 3.103 3.103 3.103 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 177.9 177.8 177.5 kozaiamp 180.0 180.0 180.0