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 Sun Dec 22 02:09:16 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 24 observations of 24
# Arc: 11.17y
# First observation: 2011/08/29
# Last observation: 2022/10/29
# Chi-squared of fit: 12.73 DOF: 42 RMS: 0.13
# Min/Max residuals: -0.28 0.26
# Exact a, adot, b, bdot, g, gdot:
1.836750E-05 3.896915E-02 6.107503E-06 1.205317E-02 3.299315E-02 -5.616082E-03
# Covariance matrix:
2.2642E-13 -4.0712E-14 7.5791E-15 -1.0879E-14 1.3359E-13 -6.0925E-14
-4.0712E-14 1.6908E-13 -3.8609E-14 5.4173E-14 1.0681E-13 3.3591E-13
7.5791E-15 -3.8609E-14 9.1313E-14 -2.2321E-14 -2.4574E-14 -7.8430E-14
-1.0879E-14 5.4173E-14 -2.2321E-14 2.1489E-14 3.4208E-14 1.1004E-13
1.3359E-13 1.0681E-13 -2.4574E-14 3.4208E-14 2.3970E-13 2.1937E-13
-6.0925E-14 3.3591E-13 -7.8430E-14 1.1004E-13 2.1937E-13 6.8245E-13
# lat0 lon0 xBary yBary zBary JD0
1.137386 32.194052 0.840833 0.010968 -0.553900 2455803.042626
# Heliocentric elements and errors
Epoch: 2455802.5000 = 2011/08/29
Mean Anomaly: 333.67952 +/- 0.005
Argument of Peri: 49.49752 +/- 0.007
Long of Asc Node: 27.04094 +/- 0.000
Inclination: 17.28898 +/- 0.000
Eccentricity: 0.27280087 +/- 0.0000
Semi-Major Axis: 39.71291025 +/- 0.0030
Time of Perihelion: 2462485.7450 +/- 9.5
Perihelion: 28.87919386 +/- 0.0027
Aphelion: 50.54662664 +/- 0.0041
Period (y) 250.2683 +/- 0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 26.56438248 +/- 0.0004
Ecliptic Y 15.73006245 +/- 0.0002
Ecliptic Z 0.60184026 +/- 0.0000
Ecliptic XDOT -0.00213716 +/- 0.0000
Ecliptic YDOT 0.00248313 +/- 0.0000
Ecliptic ZDOT 0.00099081 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 30.87830078 +/- 0.0004
Geocenter to KBO 30.30943389 +/- 0.0004
# Hcoef: 9.64
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 2022 10 29.414760 03 31 45.980 +28 26 54.58 24.9G 11UR410 G37 C~5yx3 2022 10 29.463200 03 31 45.611 +28 26 54.45 11UR410 G37 C~5yx3 2022 10 29.511010 03 31 45.297 +28 26 53.44 11UR410 G37 C~5yx3
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 0.09 0.00 -0.04
2 0.0001 0.00 -0.05 0.00 0.05
3 0.0191 0.00 -0.16 0.00 -0.09
4 0.1530 0.00 0.15 0.00 -0.01
5 0.1531 0.00 0.19 0.00 -0.17
6 0.1532 0.00 0.05 0.00 -0.16
7 0.1585 0.00 0.16 0.00 0.10
8 0.1724 0.00 -0.11 0.00 0.05
9 0.2375 0.00 -0.01 0.00 -0.08
10 0.4099 0.00 0.06 0.00 -0.04
11 0.9856 0.00 -0.04 0.00 0.09
12 0.9884 0.00 -0.18 0.00 0.21
13 1.1466 0.00 0.00 0.00 0.05
14 1.1466 0.00 0.08 0.00 -0.16
15 1.1467 0.00 -0.04 0.00 -0.07
16 1.4311 0.00 -0.24 0.00 -0.17
17 1.4338 0.00 -0.07 0.00 0.05
18 1.4422 0.00 0.11 0.00 -0.02
19 2.2689 0.00 -0.03 0.00 0.14
20 2.2691 0.00 -0.04 0.00 0.15
21 2.2693 0.00 -0.09 0.00 0.16
22 11.1673 0.00 0.08 0.00 -0.07
23 11.1675 0.00 -0.24 0.00 0.26
24 11.1676 0.00 0.19 0.00 -0.28
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 39.783 39.783 39.783 ecceobj 0.273 0.273 0.273 incobj 17.274 17.274 17.274 qmin 27.880 27.880 27.880 qmax 51.591 51.592 51.590 amean 39.455 39.455 39.455 amin 39.069 39.067 39.070 amax 39.925 39.926 39.924 emean 0.253 0.253 0.253 emin 0.211 0.211 0.211 emax 0.292 0.292 0.292 imean 17.757 17.757 17.758 imin 15.653 15.653 15.653 imax 19.459 19.459 19.459 excite_mean 0.397 0.397 0.397 fracstop 1.000 1.000 1.000 cjmean 2.872 2.872 2.872 libcent 0 179.5 179.5 179.5 libamp 0 55.2 55.2 55.2 libcent 1 179.4 179.3 179.4 libamp 1 174.1 174.0 174.1 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 41.1 41.1