Orbit Fit and Astrometric record for 13UF31

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: 13UF31    
# Created Fri Dec  3 02:12:14 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     41 observations of     41
# Arc:   5.21y
# First observation: 2013/09/12
#  Last observation: 2018/11/30
# Chi-squared of fit:    14.59 DOF:     76 RMS:  0.11
# Min/Max residuals:    -0.25    0.45
# Exact a, adot, b, bdot, g, gdot:
  1.484797E-05  3.316642E-02 -7.517851E-06 -1.851915E-02  3.175922E-02  3.761354E-03
# Covariance matrix:
  2.5685E-13 -1.1479E-13 -4.8876E-14  5.2570E-14  6.0876E-14 -5.2844E-13
 -1.1479E-13  1.4901E-13  7.7374E-14 -8.7078E-14  7.9520E-14  8.7249E-13
 -4.8876E-14  7.7374E-14  1.7265E-13 -8.6743E-14  4.0830E-14  5.0311E-13
  5.2570E-14 -8.7078E-14 -8.6743E-14  7.1017E-14 -4.9082E-14 -5.6561E-13
  6.0876E-14  7.9520E-14  4.0830E-14 -4.9082E-14  1.8478E-13  4.8959E-13
 -5.2844E-13  8.7249E-13  5.0311E-13 -5.6561E-13  4.8959E-13  5.6676E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
  -13.762449   21.378013    0.532438   -0.203273   -0.830377  2456547.893578
# Heliocentric elements and errors
Epoch:              2456548.5000  =  2013/09/13
Mean Anomaly:           18.55565 +/-     0.011
Argument of Peri:      177.88880 +/-     0.018
Long of Asc Node:      178.05774 +/-     0.000
Inclination:            32.06178 +/-     0.000
Eccentricity:         0.19948078 +/-    0.0001
Semi-Major Axis:     39.59150346 +/-    0.0026
Time of Perihelion: 2451858.4770 +/-       2.9
Perihelion:          31.69375955 +/-    0.0030
Aphelion:            47.48924737 +/-    0.0038
Period (y)              249.1215 +/-      0.02
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           29.46833491 +/-    0.0004
Ecliptic Y           10.96678241 +/-    0.0001
Ecliptic Z           -7.49090062 +/-    0.0001
Ecliptic XDOT        -0.00110879 +/-    0.0000
Ecliptic YDOT         0.00263762 +/-    0.0000
Ecliptic ZDOT        -0.00162764 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   32.32280329 +/-    0.0004
Geocenter to KBO     31.48688449 +/-    0.0004
# Hcoef:  7.74

The following table shows the complete astrometric record for 13UF31. 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 (13UF31) followed by the observatory code and reference code for the source of the astrometry.

2013 09  12.39280  01 39 31.388  -04 26 27.39  23.1g 13UF31    W84  C~4yRL      
2013 10  27.10459  01 35 37.143  -05 01 25.37  23.3g 13UF31    W84  C~4yRL      
2013 10  27.10459  01 35 37.15   -05 01 25.4   23.9g 13UF31    W84  C~3clU      
2013 10  29.06106  01 35 26.287  -05 02 38.30  23.8g 13UF31    W84  C~4yRL      
2014 09  25.26455  01 47 12.703  -04 53 46.90  23.3g 13UF31    W84  C~4yRL      
2014 09  25.26455  01 47 12.70   -04 53 46.9   23.5g 13UF31    W84  C~3clU      
2014 10  23.28497  01 44 40.923  -05 15 27.45  22.5r 13UF31    W84  C~4yRL      
2014 10  23.28497  01 44 40.92   -05 15 27.4   22.5r 13UF31    W84  C~3clU      
2014 10  23.28633  01 44 40.915  -05 15 27.36  22.9g 13UF31    W84  C~4yRL      
2014 10  23.28633  01 44 40.92   -05 15 27.4   22.8g 13UF31    W84  C~3clU      
2014 12  25.09642  01 40 20.826  -05 32 51.22  23.4r 13UF31    W84  C~4yRL      
2014 12  25.09642  01 40 20.83   -05 32 51.2   23.5r 13UF31    W84  C~3clU      
2014 12  25.09779  01 40 20.828  -05 32 51.38  23.1i 13UF31    W84  C~4yRL      
2014 12  25.09779  01 40 20.83   -05 32 51.4   23.0i 13UF31    W84  C~3clU      
2015 01  16.05340  01 40 17.387  -05 26 07.04  22.6z 13UF31    W84  C~4yRL      
2015 08  24.41363  01 57 41.789  -04 42 42.80  22.4i 13UF31    W84  C~4yRL      
2015 11  06.16972  01 52 01.97   -05 39 50.3   22.6i 13UF31    W84  C~3clU      
2015 11  16.14155  01 51 09.188  -05 44 26.18  23.0r 13UF31    W84  C~4yRL      
2015 11  16.14155  01 51 09.19   -05 44 26.2   23.0r 13UF31    W84  C~3clU      
2015 11  16.14295  01 51 09.182  -05 44 26.21  22.3i 13UF31    W84  C~4yRL      
2015 11  16.14295  01 51 09.18   -05 44 26.2   22.5i 13UF31    W84  C~3clU      
2015 11  16.14430  01 51 09.171  -05 44 26.25  23.7g 13UF31    W84  C~4yRL      
2015 11  16.14430  01 51 09.17   -05 44 26.2   23.8g 13UF31    W84  C~3clU      
2015 11  20.12920  01 50 49.415  -05 45 54.07  22.3z 13UF31    W84  C~4yRL      
2015 11  20.12920  01 50 49.42   -05 45 54.1   22.5z 13UF31    W84  C~3clU      
2016 09  10.29101  02 05 20.46   -05 12 59.5   22.7i 13UF31    W84  C~3clU      
2016 09  10.29240  02 05 20.44   -05 12 59.4   23.2g 13UF31    W84  C~3clU      
2016 09  11.25560  02 05 17.003  -05 13 49.71  22.4z 13UF31    W84  C~4yRL      
2017 09  18.39055  02 13 17.405  -05 34 45.84  22.2i 13UF31    W84  C~4yRL      
2017 10  22.21056  02 10 27.438  -06 01 49.80  22.7r 13UF31    W84  C~4yRL      
2017 10  22.21195  02 10 27.437  -06 01 49.81  22.5i 13UF31    W84  C~4yRL      
2017 10  22.21332  02 10 27.434  -06 01 49.72  23.4g 13UF31    W84  C~4yRL      
2017 11  27.19569  02 07 13.161  -06 18 51.08  22.1i 13UF31    W84  C~4yRL      
2017 12  14.06214  02 06 05.451  -06 20 36.51  23.4r 13UF31    W84  C~4yRL      
2017 12  14.06352  02 06 05.432  -06 20 36.53  23.9g 13UF31    W84  C~4yRL      
2017 12  25.11805  02 05 35.142  -06 19 27.92  22.1z 13UF31    W84  C~4yRL      
2018 09  21.29496  02 21 30.309  -05 51 25.76  22.6z 13UF31    W84  C~4yRL      
2018 10  20.23044  02 19 06.753  -06 14 44.03  22.6z 13UF31    W84  C~4yRL      
2018 11  16.11363  02 16 35.732  -06 29 48.85  23.1i 13UF31    W84  C~4yRL      
2018 11  30.10951  02 15 25.228  -06 33 54.56  22.8r 13UF31    W84  C~4yRL      
2018 11  30.11088  02 15 25.218  -06 33 54.64  23.3g 13UF31    W84  C~4yRL      

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     0.45       0.00    -0.20
     2   0.1224      0.00    -0.14       0.00     0.14
     3   0.1224      0.00    -0.25       0.00     0.17
     4   0.1278      0.00    -0.02       0.00    -0.00
     5   1.0346      0.00    -0.11       0.00    -0.05
     6   1.0346      0.00    -0.07       0.00    -0.05
     7   1.1113      0.00     0.04       0.00    -0.07
     8   1.1113      0.00    -0.01       0.00    -0.02
     9   1.1113      0.00     0.11       0.00     0.04
    10   1.1113      0.00     0.03       0.00     0.08
    11   1.2832      0.00     0.01       0.00     0.08
    12   1.2832      0.00    -0.05       0.00     0.06
    13   1.2832      0.00     0.04       0.00    -0.14
    14   1.2832      0.00     0.01       0.00    -0.12
    15   1.3434      0.00     0.07       0.00     0.06
    16   1.9467      0.00     0.04       0.00    -0.10
    17   2.1486      0.00    -0.06       0.00     0.15
    18   2.1759      0.00    -0.01       0.00    -0.05
    19   2.1759      0.00    -0.04       0.00    -0.03
    20   2.1759      0.00    -0.05       0.00    -0.02
    21   2.1759      0.00    -0.02       0.00    -0.03
    22   2.1759      0.00    -0.09       0.00     0.01
    23   2.1759      0.00    -0.08       0.00    -0.04
    24   2.1868      0.00     0.14       0.00     0.07
    25   2.1868      0.00     0.07       0.00     0.10
    26   2.9949      0.00     0.08       0.00     0.04
    27   2.9949      0.00    -0.14       0.00     0.21
    28   2.9976      0.00    -0.03       0.00    -0.17
    29   4.0164      0.00     0.06       0.00    -0.16
    30   4.1090      0.00     0.01       0.00    -0.02
    31   4.1090      0.00     0.11       0.00     0.02
    32   4.1090      0.00     0.19       0.00     0.17
    33   4.2075      0.00    -0.06       0.00     0.01
    34   4.2537      0.00     0.10       0.00     0.03
    35   4.2537      0.00    -0.11       0.00     0.01
    36   4.2840      0.00     0.06       0.00     0.07
    37   5.0237      0.00     0.00       0.00    -0.12
    38   5.1029      0.00    -0.13       0.00    -0.11
    39   5.1765      0.00     0.00       0.00     0.17
    40   5.2148      0.00     0.05       0.00     0.00
    41   5.2148      0.00    -0.00       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.

13UF31    quality flag:3

Type:           3:2E      3:2E      3:2E

axisobj        39.785    39.785    39.785
ecceobj         0.204     0.204     0.204
incobj         31.986    31.986    31.986
qmin           31.185    31.190    31.183
qmax           48.282    48.285    48.280
amean          39.454    39.454    39.454
amin           39.028    39.028    39.029
amax           39.917    39.917    39.917
emean           0.180     0.180     0.180
emin            0.135     0.136     0.135
emax            0.210     0.210     0.210
imean          31.884    31.885    31.884
imin           31.379    31.378    31.380
imax           32.518    32.515    32.519
excite_mean     0.558     0.558     0.558
fracstop        1.000     1.000     1.000
cjmean          2.676     2.676     2.676

libcent 0       179.4     179.4     179.4
libamp  0       102.2     102.2     102.2
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       169.9     170.3     169.7
kozaiamp        180.0     180.0     180.0