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: 11UF412
# Created Tue Apr 1 01:09:19 2025
# Orbit generated from Bernstein formalism
# Fitting 12 observations of 12
# Arc: 1.15y
# First observation: 2011/08/29
# Last observation: 2012/10/21
Preliminary a, adot, b, bdot, g, gdot:
-0.000062 0.020708 0.000002 0.000134 0.022312 0.000000
# Chi-squared of fit: 3.65 DOF: 18 RMS: 0.10
# Min/Max residuals: -0.20 0.23
# Exact a, adot, b, bdot, g, gdot:
1.470587E-05 2.055469E-02 4.789512E-07 1.327106E-04 2.220199E-02 4.680946E-04
# Covariance matrix:
6.8315E-13 4.7734E-13 -1.2196E-14 2.5081E-14 9.9388E-13 5.9398E-11
4.7734E-13 4.1981E-12 -3.5421E-14 1.3039E-13 2.6924E-12 2.9502E-10
-1.2196E-14 -3.5421E-14 2.3697E-13 -2.5491E-13 -3.3875E-14 -2.8720E-12
2.5081E-14 1.3039E-13 -2.5491E-13 5.6000E-13 9.4731E-14 1.0559E-11
9.9388E-13 2.6924E-12 -3.3875E-14 9.4731E-14 2.6760E-12 2.1835E-10
5.9398E-11 2.9502E-10 -2.8720E-12 1.0559E-11 2.1835E-10 2.3893E-08
# lat0 lon0 xBary yBary zBary JD0
2.131546 34.020953 0.857741 0.019592 -0.527059 2455803.077416
# Heliocentric elements and errors
Epoch: 2455800.5000 = 2011/08/27
Mean Anomaly: 140.55514 +/- 53.623
Argument of Peri: 297.95953 +/- 53.600
Long of Asc Node: 313.96359 +/- 0.055
Inclination: 2.14595 +/- 0.000
Eccentricity: 0.00638403 +/- 0.0045
Semi-Major Axis: 45.35524128 +/- 0.0144
Time of Perihelion: 2412240.8988 +/- 16618.2
Perihelion: 45.06569186 +/- 0.2036
Aphelion: 45.64479070 +/- 0.2036
Period (y) 305.4565 +/- 0.15
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 38.22601622 +/- 0.0028
Ecliptic Y 24.76824262 +/- 0.0018
Ecliptic Z 1.67528997 +/- 0.0001
Ecliptic XDOT -0.00137401 +/- 0.0000
Ecliptic YDOT 0.00213819 +/- 0.0000
Ecliptic ZDOT 0.00001856 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 45.57960898 +/- 0.0025
Geocenter to KBO 45.04099916 +/- 0.0033
# Hcoef: 8.19
The following table shows the complete astrometric record for 11UF412. 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 (11UF412) followed by the observatory code and reference code for the source of the astrometry.
2011 08 29.57665 02 04 06.207 +14 51 50.39 25.0r 11UF412 568 C~1C6P 2011 08 29.62382 02 04 06.111 +14 51 50.11 24.9r 11UF412 568 C~1C6P 2011 10 24.44181 02 00 47.633 +14 35 48.25 24.5r 11UF412 568 C~1C6P 2011 10 24.48455 02 00 47.433 +14 35 47.26 24.4r 11UF412 568 C~1C6P 2011 10 24.52730 02 00 47.236 +14 35 46.33 24.4r 11UF412 568 C~1C6P 2011 10 30.56385 02 00 20.582 +14 33 24.84 24.4r 11UF412 568 C~1C6P 2011 10 31.54671 02 00 16.240 +14 33 01.40 24.8r 11UF412 568 C~1C6P 2011 11 30.34681 01 58 16.412 +14 21 50.45 24.6r 11UF412 568 C~1C6P 2012 08 24.48353 02 08 49.258 +15 16 43.21 25.0r 11UF412 568 C~1C6P 2012 10 21.31465 02 05 35.677 +15 01 37.96 25.0r 11UF412 568 C~1C6P 2012 10 21.34035 02 05 35.565 +15 01 37.31 24.6r 11UF412 568 C~1C6P 2012 10 21.36603 02 05 35.447 +15 01 36.76 24.5r 11UF412 568 C~1C6P
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 -0.01 0.00 -0.08
2 0.0001 -1.40 0.06 0.21 -0.00
3 0.1530 -3036.20 0.05 83.79 -0.17
4 0.1531 -3039.27 -0.05 83.86 -0.13
5 0.1532 -3042.27 -0.10 83.97 -0.03
6 0.1697 -3454.37 0.13 84.57 0.23
7 0.1724 -3521.65 -0.20 84.32 0.11
8 0.2540 -5387.68 0.12 57.26 0.09
9 0.9881 4363.66 0.03 16.48 0.06
10 1.1464 1419.24 -0.01 111.23 0.02
11 1.1465 1417.49 0.01 111.17 -0.07
12 1.1466 1415.69 -0.02 111.23 -0.02
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.
11UF412 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 45.453 45.523 45.414 ecceobj 0.006 0.026 0.010 incobj 2.146 2.146 2.146 qmin 43.932 43.372 43.563 qmax 46.441 47.214 46.739 amean 45.129 45.196 45.091 amin 44.776 44.844 44.737 amax 45.478 45.556 45.439 emean 0.010 0.024 0.016 emin 0.000 0.010 0.003 emax 0.022 0.037 0.029 imean 3.637 3.640 3.636 imin 3.166 3.170 3.155 imax 4.017 4.019 4.020 excite_mean 0.064 0.068 0.066 fracstop 1.000 1.000 1.000 cjmean 3.110 3.110 3.109 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 190.5 174.4 178.5 kozaiamp 179.9 180.0 180.0