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: 11UR412
# Created Wed Dec 25 02:09:13 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 22 observations of 22
# Arc: 8.16y
# First observation: 2011/08/30
# Last observation: 2019/10/26
# Chi-squared of fit: 8.77 DOF: 38 RMS: 0.11
# Min/Max residuals: -0.22 0.30
# Exact a, adot, b, bdot, g, gdot:
1.712612E-05 3.148927E-02 5.530594E-06 9.641527E-03 2.810132E-02 -4.351429E-03
# Covariance matrix:
2.4402E-13 -1.1840E-13 1.0784E-14 -3.6523E-14 1.5349E-13 -4.0638E-13
-1.1840E-13 4.0906E-13 -4.7727E-14 1.3520E-13 5.8223E-14 1.5540E-12
1.0784E-14 -4.7727E-14 8.7477E-14 -2.9923E-14 -9.2131E-15 -1.8649E-13
-3.6523E-14 1.3520E-13 -2.9923E-14 5.7270E-14 1.8616E-14 5.2820E-13
1.5349E-13 5.8223E-14 -9.2131E-15 1.8616E-14 2.2004E-13 2.3074E-13
-4.0638E-13 1.5540E-12 -1.8649E-13 5.2820E-13 2.3074E-13 6.0711E-12
# lat0 lon0 xBary yBary zBary JD0
5.064481 32.295108 0.832509 0.049933 -0.563792 2455804.003996
# Heliocentric elements and errors
Epoch: 2455804.5000 = 2011/08/31
Mean Anomaly: 341.15915 +/- 0.009
Argument of Peri: 53.78896 +/- 0.018
Long of Asc Node: 15.24923 +/- 0.000
Inclination: 17.84089 +/- 0.000
Eccentricity: 0.32022417 +/- 0.0001
Semi-Major Axis: 50.55629961 +/- 0.0053
Time of Perihelion: 2462676.1241 +/- 20.0
Perihelion: 34.36695073 +/- 0.0047
Aphelion: 66.74564849 +/- 0.0077
Period (y) 359.4770 +/- 0.06
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 30.88986094 +/- 0.0005
Ecliptic Y 18.53829886 +/- 0.0003
Ecliptic Z 3.14159554 +/- 0.0001
Ecliptic XDOT -0.00206936 +/- 0.0000
Ecliptic YDOT 0.00232881 +/- 0.0000
Ecliptic ZDOT 0.00089832 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 36.16253584 +/- 0.0005
Geocenter to KBO 35.58562932 +/- 0.0006
# Hcoef: 8.73
The following table shows the complete astrometric record for 11UR412. 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 (11UR412) followed by the observatory code and reference code for the source of the astrometry.
2011 08 30.50323 01 53 09.341 +17 01 08.04 24.2r 11UR412 568 C~1CKy 2011 08 30.54972 01 53 09.190 +17 01 08.09 24.6r 11UR412 568 C~1CKy 2011 08 30.59613 01 53 09.063 +17 01 07.93 24.2r 11UR412 568 C~1CKy 2011 10 25.34656 01 48 48.940 +16 46 57.35 24.1r 11UR412 568 C~1CKy 2011 10 25.39635 01 48 48.666 +16 46 55.96 24.0r 11UR412 568 C~1CKy 2011 10 25.40523 01 48 48.626 +16 46 55.73 24.0r 11UR412 568 C~1CKy 2011 10 26.29551 01 48 43.666 +16 46 33.78 24.3r 11UR412 568 C~1CKy 2011 10 26.30517 01 48 43.615 +16 46 33.48 23.9r 11UR412 568 C~1CKy 2011 10 26.34841 01 48 43.365 +16 46 32.51 24.4r 11UR412 568 C~1CKy 2011 10 26.39151 01 48 43.121 +16 46 31.28 24.3r 11UR412 568 C~1CKy 2011 10 31.39702 01 48 15.390 +16 44 25.77 23.9r 11UR412 568 C~1CKy 2011 11 24.25792 01 46 13.820 +16 34 23.00 24.6r 11UR412 568 C~1CKy 2011 11 26.47841 01 46 03.966 +16 33 30.10 24.4r 11UR412 568 C~1CKy 2012 01 26.30218 01 44 33.141 +16 22 32.81 23.9r 11UR412 568 C~1CKy 2012 01 27.23615 01 44 34.862 +16 22 38.87 24.5r 11UR412 568 C~1CKy 2012 08 17.57715 01 59 55.442 +18 09 30.67 24.8r 11UR412 568 C~1CKy 2012 08 24.53489 01 59 42.372 +18 10 06.59 11UR412 568 C~1CKy 2012 10 17.38245 01 55 51.230 +18 00 13.10 24.2r 11UR412 568 C~1CKy 2012 10 20.47747 01 55 33.856 +17 59 02.60 24.1r 11UR412 568 C~1CKy 2013 02 06.26716 01 51 06.930 +17 32 53.62 11UR412 568 C~1CKy 2019 10 26.410840 02 43 56.780 +25 59 52.53 23.7G 11UR412 G37 C~3chz 2019 10 26.496010 02 43 56.243 +25 59 51.23 11UR412 G37 C~3chz
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 0.13 0.00 0.02
2 0.0001 0.00 -0.08 0.00 0.16
3 0.0003 0.00 0.08 0.00 0.09
4 0.1529 0.00 -0.13 0.00 0.01
5 0.1530 0.00 -0.00 0.00 -0.16
6 0.1531 0.00 0.15 0.00 -0.17
7 0.1555 0.00 -0.02 0.00 -0.09
8 0.1555 0.00 0.03 0.00 -0.15
9 0.1556 0.00 -0.05 0.00 -0.06
10 0.1558 0.00 -0.05 0.00 -0.22
11 0.1695 0.00 -0.06 0.00 0.02
12 0.2348 0.00 0.02 0.00 0.01
13 0.2409 0.00 0.02 0.00 -0.07
14 0.4074 0.00 0.11 0.00 0.03
15 0.4099 0.00 0.05 0.00 0.13
16 0.9667 0.00 -0.06 0.00 0.30
17 0.9857 0.00 -0.07 0.00 0.18
18 1.1331 0.00 -0.22 0.00 -0.04
19 1.1416 0.00 0.08 0.00 -0.08
20 1.4395 0.00 -0.10 0.00 0.08
21 8.1558 0.00 0.13 0.00 -0.09
22 8.1560 0.00 -0.08 0.00 0.05
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.
11UR412 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 50.683 50.682 50.683 ecceobj 0.321 0.321 0.321 incobj 17.823 17.823 17.823 qmin 33.596 33.450 33.415 qmax 67.396 67.403 67.424 amean 49.950 49.881 50.055 amin 49.405 49.049 49.274 amax 50.738 50.774 50.766 emean 0.304 0.308 0.309 emin 0.284 0.283 0.288 emax 0.328 0.330 0.331 imean 18.215 17.910 18.046 imin 17.118 16.896 16.924 imax 19.013 18.808 18.871 excite_mean 0.436 0.435 0.437 fracstop 1.000 1.000 1.000 cjmean 2.933 2.933 2.933 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 171.0 171.5 172.2 kozaiamp 180.0 179.9 180.0