Orbit Fit and Astrometric record for 11UA413

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: 11UA413   
# Created Thu Dec  9 02:11:15 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     23 observations of     23
# Arc:   9.12y
# First observation: 2011/10/25
#  Last observation: 2020/12/09
# Chi-squared of fit:    16.41 DOF:     40 RMS:  0.15
# Min/Max residuals:    -0.32    0.60
# Exact a, adot, b, bdot, g, gdot:
  1.813626E-05  3.844619E-02  1.518220E-08 -5.141061E-04  3.245774E-02  1.068518E-03
# Covariance matrix:
  1.1899E-13 -8.7333E-14  1.2896E-15  1.3499E-15  6.0004E-14 -2.4208E-13
 -8.7333E-14  2.3056E-13  3.1545E-16 -3.7574E-15 -2.2682E-14  6.8516E-13
  1.2896E-15  3.1545E-16  8.4363E-14 -1.2374E-14  7.6944E-15 -5.1166E-16
  1.3499E-15 -3.7574E-15 -1.2374E-14  9.2652E-15  8.1457E-16 -1.1713E-14
  6.0004E-14 -2.2682E-14  7.6944E-15  8.1457E-16  2.9185E-13 -1.2597E-13
 -2.4208E-13  6.8516E-13 -5.1166E-16 -1.1713E-14 -1.2597E-13  2.1315E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
    5.556551   30.404442   -0.018287    0.095940   -0.986199  2455859.847326
# Heliocentric elements and errors
Epoch:              2455860.5000  =  2011/10/26
Mean Anomaly:           10.03281 +/-     0.011
Argument of Peri:       84.66835 +/-     0.015
Long of Asc Node:      292.38055 +/-     0.001
Inclination:             5.43640 +/-     0.000
Eccentricity:         0.13842366 +/-    0.0001
Semi-Major Axis:     36.78681180 +/-    0.0034
Time of Perihelion: 2453589.2926 +/-       2.5
Perihelion:          31.69464661 +/-    0.0039
Aphelion:            41.87897700 +/-    0.0046
Period (y)              223.1241 +/-      0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           27.29593043 +/-    0.0004
Ecliptic Y           16.03806392 +/-    0.0003
Ecliptic Z            2.98320604 +/-    0.0001
Ecliptic XDOT        -0.00156392 +/-    0.0000
Ecliptic YDOT         0.00284962 +/-    0.0000
Ecliptic ZDOT        -0.00003437 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   31.79914778 +/-    0.0004
Geocenter to KBO     30.80932081 +/-    0.0005
# Hcoef:  8.60

The following table shows the complete astrometric record for 11UA413. 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 (11UA413) followed by the observatory code and reference code for the source of the astrometry.

2011 10  25.34656  01 45 04.040  +16 48 37.84  23.4r 11UA413   568  C~1CKz      
2011 10  25.39635  01 45 03.723  +16 48 36.07  23.3r 11UA413   568  C~1CKz      
2011 10  25.40523  01 45 03.674  +16 48 35.81  23.3r 11UA413   568  C~1CKz      
2011 10  26.29124  01 44 58.281  +16 48 05.31  23.3r 11UA413   568  C~1CKz      
2011 10  26.34391  01 44 57.957  +16 48 03.59        11UA413   568  C~1CKz      
2011 10  26.38701  01 44 57.685  +16 48 02.03        11UA413   568  C~1CKz      
2011 10  31.28989  01 44 28.047  +16 45 11.27        11UA413   568  C~1CKz      
2011 10  31.39270  01 44 27.395  +16 45 07.49  23.5r 11UA413   568  C~1CKz      
2011 11  24.24087  01 42 16.105  +16 31 15.09  23.8r 11UA413   568  C~1CKz      
2011 11  24.25792  01 42 16.009  +16 31 14.39  24.0r 11UA413   568  C~1CKz      
2011 11  26.46073  01 42 05.624  +16 30 01.46  23.7r 11UA413   568  C~1CKz      
2012 01  25.30732  01 40 42.109  +16 11 56.97        11UA413   568  C~1CKz      
2012 01  26.29215  01 40 44.399  +16 11 58.25  23.7r 11UA413   568  C~1CKz      
2012 01  27.22612  01 40 46.698  +16 12 00.32  23.8r 11UA413   568  C~1CKz      
2012 08  17.57715  01 58 52.600  +17 54 31.57  23.9r 11UA413   568  C~1CKz      
2012 08  24.53489  01 58 39.154  +17 54 28.45  23.6r 11UA413   568  C~1CKz      
2012 10  17.38245  01 54 28.919  +17 37 36.76        11UA413   568  C~1CKz      
2012 10  20.47747  01 54 09.965  +17 35 58.01  23.4r 11UA413   568  C~1CKz      
2013 02  06.26716  01 49 38.197  +16 57 03.16  23.4r 11UA413   568  C~1CKz      
2015 11  08.27187  02 18 34.18   +19 32 05.6   23.3R 11UA413   G37  C~1ddG      
2015 11  08.33833  02 18 33.77   +19 32 03.1         11UA413   G37  C~1ddG      
2020 12  09.130560 02 59 46.638  +22 12 11.61  23.4G 11UA413   G37  C~4U7j      
2020 12  09.249420 02 59 45.972  +22 12 08.56        11UA413   G37  C~4U7j      

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     0.14       0.00    -0.01
     2   0.0001      0.00     0.02       0.00    -0.07
     3   0.0002      0.00     0.12       0.00    -0.03
     4   0.0026      0.00     0.02       0.00    -0.03
     5   0.0027      0.00     0.05       0.00     0.05
     6   0.0028      0.00    -0.02       0.00    -0.03
     7   0.0163      0.00     0.34       0.00     0.04
     8   0.0166      0.00    -0.01       0.00    -0.14
     9   0.0818      0.00     0.04       0.00     0.06
    10   0.0819      0.00    -0.15       0.00    -0.07
    11   0.0879      0.00     0.10       0.00    -0.10
    12   0.2518      0.00     0.01       0.00     0.07
    13   0.2545      0.00    -0.09       0.00    -0.13
    14   0.2570      0.00    -0.02       0.00    -0.12
    15   0.8138      0.00    -0.14       0.00     0.10
    16   0.8328      0.00    -0.17       0.00    -0.06
    17   0.9802      0.00    -0.17       0.00    -0.06
    18   0.9887      0.00    -0.10       0.00     0.03
    19   1.2866      0.00    -0.22       0.00    -0.04
    20   4.0381      0.00    -0.04       0.00     0.60
    21   4.0383      0.00     0.08       0.00     0.26
    22   9.1247      0.00     0.14       0.00    -0.32
    23   9.1250      0.00    -0.09       0.00    -0.06

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.

11UA413    quality flag:3

Type:           4:3E      4:3E      4:3E

axisobj        36.852    36.851    36.852
ecceobj         0.140     0.140     0.140
incobj          5.437     5.437     5.437
qmin           30.819    30.838    30.850
qmax           42.506    42.512    42.527
amean          36.477    36.477    36.478
amin           36.114    36.113    36.126
amax           36.872    36.872    36.872
emean           0.133     0.133     0.133
emin            0.115     0.115     0.115
emax            0.154     0.154     0.154
imean           8.696     8.696     8.695
imin            6.277     6.274     6.269
imax           10.316    10.316    10.314
excite_mean     0.202     0.202     0.202
fracstop        1.000     1.000     1.000
cjmean          2.980     2.980     2.980

libcent 0       181.0     181.2     181.3
libamp  0        70.4      70.6      70.8
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       182.6     182.6     182.4
kozaiamp        179.9     180.0     179.9