Orbit Fit and Astrometric record for 13UK15

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: 13UK15    
# Created Fri Dec  3 02:12:10 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     24 observations of     24
# Arc:   6.94y
# First observation: 2013/10/13
#  Last observation: 2020/09/21
# Chi-squared of fit:    47.56 DOF:     42 RMS:  0.25
# Min/Max residuals:    -0.54    0.45
# Exact a, adot, b, bdot, g, gdot:
  1.161108E-05  1.428688E-02  2.179034E-06 -1.106813E-03  1.848735E-02 -1.954875E-03
# Covariance matrix:
  2.0365E-13 -1.2466E-13 -8.3508E-15  6.8806E-15  8.4192E-14 -8.7471E-13
 -1.2466E-13  1.3726E-13  1.0608E-14 -9.1820E-15 -9.6900E-14  1.1888E-12
 -8.3508E-15  1.0608E-14  1.3660E-13 -3.4273E-14 -2.1753E-14  8.9162E-14
  6.8806E-15 -9.1820E-15 -3.4273E-14  1.5726E-14  8.1434E-15 -8.8399E-14
  8.4192E-14 -9.6900E-14 -2.1753E-14  8.1434E-15  4.4213E-13 -5.5861E-13
 -8.7471E-13  1.1888E-12  8.9162E-14 -8.8399E-14 -5.5861E-13  1.1966E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
  -11.062647    7.262141   -0.214363   -0.186794   -0.956020  2456578.686138
# Heliocentric elements and errors
Epoch:              2456578.5000  =  2013/10/13
Mean Anomaly:          229.85894 +/-     0.049
Argument of Peri:       33.18949 +/-     0.041
Long of Asc Node:      119.63435 +/-     0.002
Inclination:            11.71019 +/-     0.000
Eccentricity:         0.19778384 +/-    0.0002
Semi-Major Axis:     48.01683946 +/-    0.0058
Time of Perihelion: 2500512.4876 +/-      21.7
Perihelion:          38.51988446 +/-    0.0097
Aphelion:            57.51379447 +/-    0.0110
Period (y)              332.7351 +/-      0.06
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           53.59871553 +/-    0.0019
Ecliptic Y            7.04938049 +/-    0.0002
Ecliptic Z          -10.37903164 +/-    0.0004
Ecliptic XDOT        -0.00058667 +/-    0.0000
Ecliptic YDOT         0.00205748 +/-    0.0000
Ecliptic ZDOT        -0.00010518 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   55.04770883 +/-    0.0018
Geocenter to KBO     54.09118419 +/-    0.0019
# Hcoef:  5.89

The following table shows the complete astrometric record for 13UK15. 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 (13UK15) followed by the observatory code and reference code for the source of the astrometry.

2013 10  13.18536  00 44 12.402  -07 16 44.21  22.9z 13UK15    W84  C~4yRI      
2013 10  29.04186  00 43 18.857  -07 21 20.33  23.2r 13UK15    304  C~1x8Y      
2013 10  29.10905  00 43 18.643  -07 21 21.47        13UK15    304  C~1x8Y      
2013 10  30.03111  00 43 15.743  -07 21 34.64        13UK15    304  C~1x8Y      
2013 10  30.12393  00 43 15.450  -07 21 36.32        13UK15    304  C~1x8Y      
2013 12  24.08375  00 41 34.995  -07 22 48.14        13UK15    I11  C~1x8Y      
2013 12  25.07320  00 41 34.899  -07 22 36.18        13UK15    I11  C~1x8Y      
2014 08  29.58357  00 49 48.574  -06 42 35.46  23.5r 13UK15    568  C~1x8Y      
2014 08  29.62068  00 49 48.493  -06 42 36.48        13UK15    568  C~1x8Y      
2014 10  22.20625  00 46 49.903  -07 03 24.82        13UK15    304  C~1x8Y      
2014 10  23.10420  00 46 46.857  -07 03 40.37        13UK15    304  C~1x8Y      
2015 09  04.29571  00 52 41.237  -06 28 39.15  22.6z 13UK15    W84  C~4yRI      
2016 08  31.27584  00 55 58.740  -06 10 53.12  23.2r 13UK15    W84  C~4yRI      
2016 08  31.27720  00 55 58.735  -06 10 53.32  23.2i 13UK15    W84  C~4yRJ      
2016 09  30.19783  00 54 22.473  -06 23 24.24  23.3r 13UK15    W84  C~4yRJ      
2016 09  30.19920  00 54 22.471  -06 23 24.26  23.0i 13UK15    W84  C~4yRJ      
2016 10  01.21225  00 54 18.869  -06 23 47.90  22.9r 13UK15    W84  C~4yRJ      
2016 10  01.21500  00 54 18.883  -06 23 47.93  23.5g 13UK15    W84  C~4yRJ      
2016 11  06.11263  00 52 16.165  -06 34 48.66  23.3z 13UK15    W84  C~4yRJ      
2017 09  24.32739  00 57 53.049  -06 04 25.59  21.7z 13UK15    W84  C~4yRJ      
2017 09  25.24365  00 57 49.898  -06 04 47.69  24.5g 13UK15    W84  C~4yRJ      
2017 09  27.27307  00 57 42.826  -06 05 37.53  23.5z 13UK15    W84  C~4yRJ      
2020 09  21.251620 01 07 34.910  -05 12 42.89  23.2G 13UK15    G37  C~49xD      
2020 09  21.313100 01 07 34.687  -05 12 44.05        13UK15    G37  C~49xD      

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     0.37       0.00    -0.54
     2   0.0434      0.00    -0.15       0.00     0.05
     3   0.0436      0.00    -0.08       0.00    -0.11
     4   0.0461      0.00     0.32       0.00    -0.07
     5   0.0464      0.00     0.41       0.00    -0.43
     6   0.1968      0.00    -0.34       0.00     0.45
     7   0.1996      0.00    -0.45       0.00     0.31
     8   0.8772      0.00    -0.54       0.00     0.24
     9   0.8773      0.00    -0.22       0.00     0.15
    10   1.0240      0.00     0.26       0.00     0.38
    11   1.0265      0.00     0.13       0.00     0.37
    12   1.8922      0.00     0.09       0.00    -0.21
    13   2.8832      0.00     0.07       0.00     0.00
    14   2.8832      0.00     0.06       0.00    -0.16
    15   2.9651      0.00     0.05       0.00    -0.18
    16   2.9651      0.00     0.10       0.00    -0.17
    17   2.9679      0.00    -0.12       0.00     0.06
    18   2.9679      0.00     0.24       0.00     0.09
    19   3.0662      0.00    -0.08       0.00    -0.22
    20   3.9484      0.00    -0.07       0.00    -0.27
    21   3.9509      0.00     0.10       0.00     0.19
    22   3.9564      0.00    -0.02       0.00    -0.10
    23   6.9406      0.00     0.06       0.00    -0.07
    24   6.9408      0.00    -0.14       0.00     0.31

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.

13UK15    quality flag:3

Type:           2:1E      2:1E      2:1E

axisobj        48.266    48.266    48.266
ecceobj         0.192     0.192     0.192
incobj         11.700    11.700    11.700
qmin           37.816    37.847    37.888
qmax           58.553    58.547    58.543
amean          47.797    47.797    47.797
amin           47.169    47.182    47.190
amax           48.486    48.478    48.489
emean           0.184     0.183     0.183
emin            0.156     0.156     0.156
emax            0.209     0.209     0.209
imean          10.605    10.664    10.674
imin            9.909     9.884     9.895
imax           11.700    11.702    11.716
excite_mean     0.261     0.261     0.261
fracstop        1.000     1.000     1.000
cjmean          3.064     3.064     3.064

libcent 0       180.5     179.5     180.0
libamp  0       155.7     153.7     154.4
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       164.8     181.1     181.6
kozaiamp        180.0     180.0     180.0