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: 11UR411
# Created Fri Apr 19 01:13:52 2024
# Orbit generated from Bernstein formalism
# Fitting 21 observations of 21
# Arc: 4.04y
# First observation: 2011/10/25
# Last observation: 2015/11/08
Preliminary a, adot, b, bdot, g, gdot:
-0.000207 0.030688 -0.000118 0.015151 0.027382 0.000000
# Chi-squared of fit: 11.74 DOF: 36 RMS: 0.13
# Min/Max residuals: -0.30 0.23
# Exact a, adot, b, bdot, g, gdot:
1.697159E-05 2.993666E-02 9.179708E-06 1.475017E-02 2.773604E-02 -6.035494E-03
# Covariance matrix:
1.0828E-13 -1.2009E-13 8.8485E-15 -4.6188E-14 2.3219E-14 -7.8165E-13
-1.2009E-13 5.6989E-13 -4.9428E-14 2.7131E-13 3.7598E-14 4.5858E-12
8.8485E-15 -4.9428E-14 9.5868E-14 -5.7699E-14 2.7996E-15 -4.3593E-13
-4.6188E-14 2.7131E-13 -5.7699E-14 1.8941E-13 1.5318E-14 2.3861E-12
2.3219E-14 3.7598E-14 2.7996E-15 1.5318E-14 3.8369E-13 2.4633E-13
-7.8165E-13 4.5858E-12 -4.3593E-13 2.3861E-12 2.4633E-13 4.0332E-11
# lat0 lon0 xBary yBary zBary JD0
4.695605 32.585917 0.019292 0.081110 -0.987509 2455859.855936
# Heliocentric elements and errors
Epoch: 2455850.5000 = 2011/10/16
Mean Anomaly: 347.49339 +/- 0.011
Argument of Peri: 44.66301 +/- 0.032
Long of Asc Node: 23.34433 +/- 0.000
Inclination: 26.53636 +/- 0.000
Eccentricity: 0.43935999 +/- 0.0001
Semi-Major Axis: 62.55144285 +/- 0.0118
Time of Perihelion: 2462128.0691 +/- 5.1
Perihelion: 35.06884130 +/- 0.0102
Aphelion: 90.03404439 +/- 0.0187
Period (y) 494.7254 +/- 0.14
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 31.12514516 +/- 0.0007
Ecliptic Y 19.87116980 +/- 0.0004
Ecliptic Z 2.95179575 +/- 0.0001
Ecliptic XDOT -0.00219586 +/- 0.0000
Ecliptic YDOT 0.00211103 +/- 0.0000
Ecliptic ZDOT 0.00140241 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 37.04525811 +/- 0.0006
Geocenter to KBO 36.05417039 +/- 0.0008
# Hcoef: 8.52
The following table shows the complete astrometric record for 11UR411. 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 (11UR411) followed by the observatory code and reference code for the source of the astrometry.
2011 10 25.35517 01 54 49.862 +16 46 30.48 24.1r 11UR411 568 C~1C6O 2011 10 25.35517 01 54 49.84 +16 46 30.4 11UR411 568 C~3j8g 2011 10 25.40962 01 54 49.553 +16 46 29.49 24.1r 11UR411 568 C~1C6O 2011 10 26.31377 01 54 44.538 +16 46 10.59 23.9r 11UR411 568 C~1C6O 2011 10 26.31377 01 54 44.53 +16 46 10.7 23.8r 11UR411 568 C~3j8g 2011 10 26.35693 01 54 44.296 +16 46 09.65 24.1r 11UR411 568 C~1C6O 2011 10 26.35693 01 54 44.28 +16 46 09.8 23.8r 11UR411 568 C~3j8g 2011 10 26.41449 01 54 43.962 +16 46 08.37 23.9r 11UR411 568 C~1C6O 2011 10 26.41449 01 54 43.95 +16 46 08.5 23.8r 11UR411 568 C~3j8g 2011 10 31.40568 01 54 16.331 +16 44 21.90 11UR411 568 C~1C6O 2011 10 31.42313 01 54 16.232 +16 44 21.65 11UR411 568 C~1C6O 2011 11 24.29202 01 52 13.405 +16 35 47.22 24.3r 11UR411 568 C~1C6O 2011 11 30.33825 01 51 46.770 +16 33 47.70 24.3r 11UR411 568 C~1C6O 2012 01 26.31221 01 50 19.057 +16 26 59.55 24.5r 11UR411 568 C~1C6O 2012 08 21.48978 02 04 57.770 +18 19 06.34 24.1r 11UR411 568 C~1C6O 2012 08 24.55204 02 04 51.641 +18 19 27.51 24.4r 11UR411 568 C~1C6O 2012 10 17.39531 02 01 04.179 +18 12 40.55 24.0r 11UR411 568 C~1C6O 2012 10 20.49106 02 00 46.860 +18 11 41.63 24.0r 11UR411 568 C~1C6O 2013 02 06.27170 01 56 02.918 +17 50 44.72 24.6r 11UR411 568 C~1C6O 2015 11 08.26706 02 16 39.67 +22 18 48.2 23.8R 11UR411 G37 C~1ddG 2015 11 08.33351 02 16 39.25 +22 18 46.4 11UR411 G37 C~1ddG
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 0.02 0.00 -0.16
2 0.0000 -0.32 -0.30 0.04 -0.12
3 0.0001 -4.50 0.05 0.63 -0.02
4 0.0026 -78.66 -0.00 8.28 0.19
5 0.0026 -78.59 0.06 8.14 0.04
6 0.0027 -82.33 -0.09 8.70 0.22
7 0.0027 -82.17 0.07 8.48 -0.00
8 0.0029 -87.23 -0.19 9.14 0.15
9 0.0029 -87.11 -0.07 8.96 -0.03
10 0.0166 -496.13 -0.04 48.32 0.03
11 0.0166 -497.55 -0.01 48.58 0.16
12 0.0820 -2330.77 0.07 188.21 -0.06
13 0.0985 -2731.28 0.19 211.71 -0.05
14 0.2545 -4055.88 0.11 277.26 -0.13
15 0.8245 10082.75 -0.07 2228.91 -0.04
16 0.8328 10007.58 0.11 2278.35 -0.19
17 0.9803 6816.84 0.20 2997.21 -0.05
18 0.9887 6564.52 0.11 3026.36 -0.13
19 1.2866 2326.95 -0.16 3246.37 0.13
20 4.0381 24266.80 0.23 12637.72 0.15
21 4.0383 24260.60 -0.27 12637.86 -0.09
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.
11UR411 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 62.737 62.769 62.705 ecceobj 0.440 0.441 0.440 incobj 26.509 26.509 26.509 qmin 33.850 33.902 33.847 qmax 91.457 91.560 91.585 amean 61.967 61.997 61.929 amin 61.228 61.215 61.185 amax 63.035 63.057 63.010 emean 0.434 0.434 0.434 emin 0.414 0.414 0.414 emax 0.453 0.454 0.454 imean 26.380 26.393 26.375 imin 25.660 25.652 25.666 imax 27.371 27.380 27.370 excite_mean 0.621 0.621 0.621 fracstop 1.000 1.000 1.000 cjmean 2.801 2.801 2.801 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 159.4 159.1 159.7 kozaiamp 180.0 180.0 180.0