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: 11US410
# Created Tue Apr 23 01:13:45 2024
# Orbit generated from Bernstein formalism
# Fitting 30 observations of 30
# Arc: 4.11y
# First observation: 2011/08/29
# Last observation: 2015/10/09
Preliminary a, adot, b, bdot, g, gdot:
-0.000144 0.030254 0.000031 0.006266 0.028478 0.000000
# Chi-squared of fit: 7.11 DOF: 54 RMS: 0.09
# Min/Max residuals: -0.17 0.21
# Exact a, adot, b, bdot, g, gdot:
1.636493E-05 3.061066E-02 4.266925E-06 6.368301E-03 2.893061E-02 8.222703E-03
# Covariance matrix:
2.5714E-13 -1.5096E-13 1.0115E-14 -2.2681E-14 1.1634E-13 -9.0169E-13
-1.5096E-13 2.5199E-13 -2.3250E-14 5.2198E-14 8.1859E-15 2.1304E-12
1.0115E-14 -2.3250E-14 9.9933E-14 -4.6079E-14 -2.8332E-15 -2.3037E-13
-2.2681E-14 5.2198E-14 -4.6079E-14 4.6871E-14 6.3925E-15 5.1724E-13
1.1634E-13 8.1859E-15 -2.8332E-15 6.3925E-15 1.4040E-13 2.8877E-13
-9.0169E-13 2.1304E-12 -2.3037E-13 5.1724E-13 2.8877E-13 2.1151E-11
# lat0 lon0 xBary yBary zBary JD0
1.868794 30.701961 0.826480 0.018727 -0.574921 2455803.007416
# Heliocentric elements and errors
Epoch: 2455800.5000 = 2011/08/27
Mean Anomaly: 49.97677 +/- 0.013
Argument of Peri: 291.66315 +/- 0.009
Long of Asc Node: 20.55874 +/- 0.000
Inclination: 11.85283 +/- 0.000
Eccentricity: 0.25759577 +/- 0.0002
Semi-Major Axis: 39.78116651 +/- 0.0053
Time of Perihelion: 2443077.7671 +/- 2.1
Perihelion: 29.53370631 +/- 0.0075
Aphelion: 50.02862670 +/- 0.0093
Period (y) 250.9138 +/- 0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 30.62477372 +/- 0.0004
Ecliptic Y 17.22303142 +/- 0.0002
Ecliptic Z 1.12737983 +/- 0.0000
Ecliptic XDOT -0.00083037 +/- 0.0000
Ecliptic YDOT 0.00288327 +/- 0.0000
Ecliptic ZDOT 0.00062778 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 35.15367067 +/- 0.0004
Geocenter to KBO 34.56547041 +/- 0.0004
# Hcoef: 8.49
The following table shows the complete astrometric record for 11US410. 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 (11US410) followed by the observatory code and reference code for the source of the astrometry.
2011 08 29.50665 01 51 38.537 +13 28 05.56 24.2r 11US410 568 C~1C6L 2011 08 29.55038 01 51 38.401 +13 28 05.24 24.1r 11US410 568 C~1C6L 2011 10 24.41621 01 47 15.923 +13 09 00.97 23.5r 11US410 568 C~1C6L 2011 10 24.45893 01 47 15.683 +13 08 59.64 23.8r 11US410 568 C~1C6L 2011 10 24.50160 01 47 15.441 +13 08 58.47 23.8r 11US410 568 C~1C6L 2011 10 28.49290 01 46 53.017 +13 07 08.49 24.1r 11US410 568 C~1C6L 2011 10 30.53764 01 46 41.572 +13 06 11.96 24.0r 11US410 568 C~1C6L 2011 10 31.52047 01 46 36.112 +13 05 44.91 23.9r 11US410 568 C~1C6L 2011 11 24.24514 01 44 34.598 +12 55 26.93 24.0r 11US410 568 C~1C6L 2011 11 26.46510 01 44 24.731 +12 54 35.73 23.8r 11US410 568 C~1C6L 2012 01 25.25212 01 42 54.121 +12 46 38.58 24.0r 11US410 568 C~1C6L 2012 01 26.23689 01 42 55.876 +12 46 48.49 11US410 568 C~1C6L 2012 01 27.29405 01 42 57.893 +12 46 59.78 24.3r 11US410 568 C~1C6L 2012 02 15.24353 01 43 54.106 +12 52 18.76 11US410 568 C~1C6L 2012 08 17.58997 01 58 15.531 +14 25 42.69 24.0r 11US410 568 C~1C6L 2012 08 17.59867 01 58 15.527 +14 25 42.61 24.3r 11US410 568 C~1C6M 2012 08 24.54776 01 58 01.969 +14 25 21.64 24.0r 11US410 568 C~1C6M 2012 10 17.42115 01 54 08.584 +14 09 47.95 23.8r 11US410 568 C~1C6M 2012 10 20.48606 01 53 51.372 +14 08 27.31 23.8r 11US410 568 C~1C6M 2013 01 14.35439 01 48 49.773 +13 42 34.36 23.8r 11US410 568 C~1C6M 2013 02 03.27083 01 49 20.020 +13 45 07.59 24.4r 11US410 568 C~1C6M 2013 09 01.60573 02 03 51.67 +15 19 51.5 11US410 568 C~1C6M 2013 09 01.61574 02 03 51.64 +15 19 51.4 11US410 568 C~1C6M 2013 09 01.62061 02 03 51.62 +15 19 51.4 11US410 568 C~1C6M 2013 10 05.48057 02 01 29.39 +15 11 05.7 11US410 568 C~1C6M 2013 10 05.52644 02 01 29.14 +15 11 04.7 11US410 568 C~1C6M 2013 10 05.56627 02 01 28.92 +15 11 03.8 11US410 568 C~1C6M 2015 10 09.41854 02 13 31.319 +16 57 49.19 23.7w 11US410 568 C~2jM3 2015 10 09.46193 02 13 31.097 +16 57 48.13 23.9w 11US410 568 C~2jM3 2015 10 09.49526 02 13 30.913 +16 57 47.47 24.0w 11US410 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 -0.16
2 0.0001 -1.97 0.00 0.40 -0.07
3 0.1531 -3990.93 0.04 285.56 0.07
4 0.1532 -3994.68 0.06 285.57 -0.10
5 0.1533 -3998.40 0.09 285.73 -0.10
6 0.1642 -4343.80 0.21 299.57 -0.09
7 0.1698 -4520.25 -0.12 306.32 -0.05
8 0.1725 -4604.46 -0.06 309.48 -0.02
9 0.2375 -6485.33 -0.03 366.99 -0.08
10 0.2436 -6638.51 0.05 370.89 -0.02
11 0.4072 -8048.40 0.02 401.50 0.11
12 0.4099 -8020.84 -0.12 401.51 0.13
13 0.4128 -7989.20 -0.01 401.43 0.04
14 0.4647 -7106.16 -0.10 403.67 -0.03
15 0.9694 6624.05 -0.15 1226.95 0.16
16 0.9695 6623.97 -0.03 1226.90 0.04
17 0.9885 6431.69 0.05 1275.23 0.05
18 1.1360 2924.24 -0.07 1577.78 0.00
19 1.1444 2661.44 0.04 1589.68 -0.00
20 1.3795 -1995.54 0.02 1681.63 0.07
21 1.4340 -1529.05 -0.01 1668.83 -0.02
22 2.0099 12327.54 -0.05 2614.73 -0.04
23 2.0099 12327.09 -0.06 2614.78 -0.06
24 2.0099 12326.82 -0.12 2614.88 0.00
25 2.1026 10206.13 0.15 2820.98 0.10
26 2.1027 10202.37 0.08 2821.28 0.14
27 2.1028 10199.07 -0.03 2821.52 0.18
28 4.1120 22236.89 -0.02 5387.04 0.03
29 4.1121 22233.50 0.07 5387.08 -0.17
30 4.1122 22230.75 0.00 5387.32 -0.11
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.
11US410 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.855 39.871 39.839 ecceobj 0.259 0.260 0.259 incobj 11.846 11.846 11.846 qmin 28.341 28.415 28.371 qmax 51.007 51.107 51.139 amean 39.455 39.455 39.455 amin 38.994 38.987 38.999 amax 39.996 40.020 39.992 emean 0.242 0.240 0.243 emin 0.201 0.202 0.200 emax 0.279 0.279 0.280 imean 12.469 12.651 12.330 imin 10.532 10.798 10.347 imax 14.227 14.355 14.086 excite_mean 0.325 0.326 0.325 fracstop 1.000 1.000 1.000 cjmean 2.931 2.931 2.932 libcent 0 180.0 180.7 180.3 libamp 0 89.6 95.1 85.3 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 270.9 270.7 271.2 kozaiamp 49.8 49.5 49.8