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: 11UR410
# Created Wed Oct 17 01:09:07 2018
# Orbit generated from Bernstein formalism
# Fitting 21 observations of 21
# Arc: 2.27y
# First observation: 2011/08/29
# Last observation: 2013/12/05
Preliminary a, adot, b, bdot, g, gdot:
-0.000167 0.039446 -0.000054 0.012234 0.033087 0.000000
# Chi-squared of fit: 6.46 DOF: 36 RMS: 0.10
# Min/Max residuals: -0.21 0.26
# Exact a, adot, b, bdot, g, gdot:
1.835347E-05 3.896850E-02 5.880551E-06 1.205325E-02 3.299280E-02 -5.626961E-03
# Covariance matrix:
2.2786E-13 -2.9281E-14 -2.2791E-15 7.8344E-15 1.3929E-13 2.8638E-13
-2.9281E-14 6.7115E-13 -7.1620E-14 2.9609E-13 3.7569E-13 1.1226E-11
-2.2791E-15 -7.1620E-14 1.6336E-13 -1.3956E-13 -3.9019E-14 -1.5568E-12
7.8344E-15 2.9609E-13 -1.3956E-13 2.8499E-13 1.5908E-13 6.4630E-12
1.3929E-13 3.7569E-13 -3.9019E-14 1.5908E-13 3.8385E-13 6.0165E-12
2.8638E-13 1.1226E-11 -1.5568E-12 6.4630E-12 6.0165E-12 2.4523E-10
# lat0 lon0 xBary yBary zBary JD0
1.137386 32.194052 0.840833 0.010969 -0.553901 2455803.042626
# Heliocentric elements and errors
Epoch: 2455800.5000 = 2011/08/27
Mean Anomaly: 333.65429 +/- 0.034
Argument of Peri: 49.54625 +/- 0.072
Long of Asc Node: 27.04110 +/- 0.000
Inclination: 17.28946 +/- 0.000
Eccentricity: 0.27301975 +/- 0.0003
Semi-Major Axis: 39.71797568 +/- 0.0073
Time of Perihelion: 2462491.4291 +/- 8.4
Perihelion: 28.87418371 +/- 0.0134
Aphelion: 50.56176766 +/- 0.0154
Period (y) 250.3161 +/- 0.07
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 26.56465144 +/- 0.0005
Ecliptic Y 15.73023129 +/- 0.0003
Ecliptic Z 0.60183969 +/- 0.0000
Ecliptic XDOT -0.00213792 +/- 0.0000
Ecliptic YDOT 0.00248263 +/- 0.0000
Ecliptic ZDOT 0.00099081 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 30.87852155 +/- 0.0004
Geocenter to KBO 30.30963956 +/- 0.0006
# Hcoef: 9.68
The following table shows the complete astrometric record for 11UR410. 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 (11UR410) followed by the observatory code and reference code for the source of the astrometry.
2011 08 29.54186 01 58 26.339 +13 18 10.90 24.1r 11UR410 568 C~1C6L 2011 08 29.58893 01 58 26.184 +13 18 10.67 24.2r 11UR410 568 C~1C6L 2011 09 05.52844 01 58 02.876 +13 17 09.11 24.4r 11UR410 568 C~1C6L 2011 10 24.40763 01 53 35.761 +12 59 50.59 24.2r 11UR410 568 C~1C6L 2011 10 24.45036 01 53 35.485 +12 59 49.25 24.4r 11UR410 568 C~1C6L 2011 10 24.49308 01 53 35.198 +12 59 48.08 24.6r 11UR410 568 C~1C6L 2011 10 26.42741 01 53 22.842 +12 58 54.95 11UR410 568 C~1C6L 2011 10 31.51590 01 52 50.415 +12 56 34.13 24.1r 11UR410 568 C~1C6L 2011 11 24.27924 01 50 30.549 +12 46 18.36 24.5r 11UR410 568 C~1C6L 2012 01 26.24693 01 48 30.556 +12 40 13.58 24.4r 11UR410 568 C~1C6L 2012 08 23.54629 02 06 23.732 +14 43 44.48 24.1r 11UR410 568 C~1C6L 2012 08 24.56913 02 06 21.412 +14 43 43.55 11UR410 568 C~1C6L 2012 10 21.32748 02 01 38.381 +14 28 03.54 24.3r 11UR410 568 C~1C6L 2012 10 21.35320 02 01 38.217 +14 28 02.66 24.4r 11UR410 568 C~1C6L 2012 10 21.37928 02 01 38.038 +14 28 02.06 24.5r 11UR410 568 C~1C6L 2013 02 02.24616 01 56 15.443 +14 06 54.65 24.6r 11UR410 568 C~1C6L 2013 02 03.25183 01 56 18.292 +14 07 12.98 24.9r 11UR410 568 C~1C6L 2013 02 06.29444 01 56 27.656 +14 08 11.91 25.0r 11UR410 568 C~1C6L 2013 12 05.25512 02 05 08.17 +15 36 19.2 11UR410 568 C~1CKy 2013 12 05.33118 02 05 07.80 +15 36 17.6 11UR410 568 C~1CKy 2013 12 05.40680 02 05 07.43 +15 36 16.0 11UR410 568 C~1CKy
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 0.07 0.00 -0.02 2 0.0001 -2.20 -0.02 0.57 0.11 3 0.0191 -342.73 -0.18 60.57 0.02 4 0.1530 -4362.55 0.11 446.33 -0.01 5 0.1531 -4366.80 0.08 446.49 -0.18 6 0.1532 -4371.14 -0.04 446.87 -0.12 7 0.1585 -4559.00 0.15 460.41 0.08 8 0.1724 -5052.55 -0.12 494.88 0.13 9 0.2375 -7185.67 -0.08 639.01 -0.03 10 0.4099 -8959.54 0.00 919.95 -0.02 11 0.9856 8289.13 0.04 2449.22 0.10 12 0.9884 8257.09 -0.05 2459.72 0.26 13 1.1466 4069.92 0.06 2973.87 0.03 14 1.1466 4067.38 0.06 2973.86 -0.18 15 1.1467 4064.73 -0.01 2974.19 -0.06 16 1.4311 -774.69 -0.21 3404.26 -0.11 17 1.4338 -729.45 0.02 3407.02 0.04 18 1.4422 -581.22 0.16 3414.88 -0.09 19 2.2689 8329.11 0.00 5792.13 0.00 20 2.2691 8323.53 0.00 5792.43 0.01 21 2.2693 8317.94 -0.04 5792.74 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.
11UR410 quality flag:3 Type: 3:2E 3:2E 3:2E Type: 6:4II 6:4II 6:4II axisobj 39.788 39.802 39.774 ecceobj 0.273 0.274 0.273 incobj 17.275 17.274 17.275 qmin 27.882 27.885 27.874 qmax 51.560 51.564 51.671 amean 39.455 39.454 39.455 amin 39.065 39.065 39.063 amax 39.929 39.928 39.965 emean 0.253 0.253 0.253 emin 0.211 0.211 0.209 emax 0.292 0.292 0.293 imean 17.766 17.792 17.744 imin 15.661 15.689 15.642 imax 19.468 19.492 19.452 excite_mean 0.398 0.398 0.397 fracstop 1.000 1.000 1.000 cjmean 2.871 2.871 2.872 libcent 0 179.5 179.3 179.4 libamp 0 55.1 55.4 56.0 libcent 1 179.3 179.9 180.2 libamp 1 173.8 174.2 175.4 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 92.2 92.2 92.2 kozaiamp 41.1 41.0 41.3