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: 11UN412
# Created Sun Dec 22 02:09:18 2024
# Orbit generated from Bernstein formalism
# Fitting 13 observations of 13
# Arc: 1.29y
# First observation: 2011/10/24
# Last observation: 2013/02/06
Preliminary a, adot, b, bdot, g, gdot:
0.000008 0.022311 -0.000008 -0.008160 0.024710 0.000000
# Chi-squared of fit: 2.70 DOF: 20 RMS: 0.08
# Min/Max residuals: -0.14 0.19
# Exact a, adot, b, bdot, g, gdot:
1.406992E-05 2.245664E-02 -4.926578E-06 -8.264884E-03 2.501863E-02 -6.617451E-04
# Covariance matrix:
4.2905E-13 5.9543E-13 4.2138E-14 -4.5094E-13 8.5261E-13 4.8094E-11
5.9543E-13 6.4312E-12 2.6707E-13 -2.9094E-12 4.9671E-12 3.0967E-10
4.2138E-14 2.6707E-13 2.8874E-13 -4.2722E-13 2.3533E-13 1.4164E-11
-4.5094E-13 -2.9094E-12 -4.2722E-13 1.9786E-12 -2.5181E-12 -1.5370E-10
8.5261E-13 4.9671E-12 2.3533E-13 -2.5181E-12 4.7641E-12 2.6857E-10
4.8094E-11 3.0967E-10 1.4164E-11 -1.5370E-10 2.6857E-10 1.6367E-08
# lat0 lon0 xBary yBary zBary JD0
2.998826 28.392244 -0.037095 0.051826 -0.989212 2455858.921236
# Heliocentric elements and errors
Epoch: 2455850.5000 = 2011/10/16
Mean Anomaly: 211.59664 +/- 4.866
Argument of Peri: 322.94496 +/- 4.855
Long of Asc Node: 216.35870 +/- 0.001
Inclination: 20.36293 +/- 0.002
Eccentricity: 0.05294798 +/- 0.0024
Semi-Major Axis: 39.16893406 +/- 0.0154
Time of Perihelion: 2492761.2018 +/- 1210.0
Perihelion: 37.09501824 +/- 0.0954
Aphelion: 41.24284988 +/- 0.0957
Period (y) 245.1438 +/- 0.14
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 35.97119006 +/- 0.0031
Ecliptic Y 19.48516012 +/- 0.0016
Ecliptic Z 2.09085615 +/- 0.0002
Ecliptic XDOT -0.00119417 +/- 0.0000
Ecliptic YDOT 0.00215510 +/- 0.0000
Ecliptic ZDOT -0.00090693 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 40.96302795 +/- 0.0028
Geocenter to KBO 39.97020703 +/- 0.0035
# Hcoef: 8.43
The following table shows the complete astrometric record for 11UN412. 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 (11UN412) followed by the observatory code and reference code for the source of the astrometry.
2011 10 24.42047 01 41 06.768 +13 42 09.86 24.4r 11UN412 568 C~1C6Q 2011 10 24.46320 01 41 06.555 +13 42 08.68 24.5r 11UN412 568 C~1C6Q 2011 10 24.50589 01 41 06.349 +13 42 07.25 24.6r 11UN412 568 C~1C6Q 2011 11 24.22382 01 38 51.498 +13 26 04.22 11UN412 568 C~1C6Q 2011 11 26.44094 01 38 43.326 +13 25 00.76 24.4r 11UN412 568 C~1C6Q 2012 01 27.28388 01 37 38.830 +13 09 31.25 24.6r 11UN412 568 C~1C6Q 2012 08 17.58572 01 50 51.959 +14 09 06.34 24.2r 11UN412 568 C~1C6Q 2012 08 24.54350 01 50 39.471 +14 07 48.79 24.6r 11UN412 568 C~1C6Q 2012 08 24.59051 01 50 39.366 +14 07 48.16 24.2r 11UN412 568 C~1C6Q 2012 10 21.31891 01 46 57.637 +13 44 32.24 24.4r 11UN412 568 C~1C6Q 2012 10 21.34463 01 46 57.516 +13 44 31.40 24.3r 11UN412 568 C~1C6Q 2012 10 21.37029 01 46 57.377 +13 44 30.62 24.7r 11UN412 568 C~1C6Q 2013 02 06.29015 01 43 32.022 +13 11 34.55 24.8r 11UN412 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 0.03 0.00 -0.06
2 0.0001 -3.32 0.02 0.02 0.15
3 0.0002 -6.64 0.02 -0.24 0.09
4 0.0843 -2188.14 -0.02 -187.87 -0.12
5 0.0904 -2322.28 -0.04 -203.81 -0.04
6 0.2597 -3537.24 -0.02 -728.27 -0.12
7 0.8163 8543.02 -0.14 -1518.10 0.19
8 0.8354 8345.38 0.03 -1527.00 0.04
9 0.8355 8343.73 -0.01 -1527.05 0.03
10 0.9936 4827.06 0.09 -1694.47 -0.03
11 0.9936 4825.11 0.13 -1694.63 -0.09
12 0.9937 4822.94 -0.05 -1694.64 0.01
13 1.2892 1318.93 -0.06 -2473.90 -0.04
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.
11UN412 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 39.231 39.273 39.201 ecceobj 0.051 0.059 0.046 incobj 20.345 20.343 20.346 qmin 36.084 35.896 36.275 qmax 41.934 42.382 41.878 amean 38.984 39.031 38.961 amin 38.690 38.726 38.656 amax 39.305 39.364 39.288 emean 0.051 0.056 0.047 emin 0.034 0.034 0.031 emax 0.069 0.078 0.067 imean 21.758 21.747 21.763 imin 20.822 20.768 20.826 imax 22.568 22.567 22.556 excite_mean 0.374 0.375 0.374 fracstop 1.000 1.000 1.000 cjmean 2.882 2.882 2.882 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 175.2 178.9 174.3 kozaiamp 179.9 180.0 179.9