Orbit Fit and Astrometric record for 13US15

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: 13US15    
# Created Thu Dec  9 02:12:08 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     41 observations of     41
# Arc:   6.23y
# First observation: 2013/08/02
#  Last observation: 2019/10/26
# Chi-squared of fit:     8.73 DOF:     76 RMS:  0.08
# Min/Max residuals:    -0.34    0.18
# Exact a, adot, b, bdot, g, gdot:
  1.718542E-05  3.224621E-02 -5.429060E-07 -8.796273E-04  2.935754E-02 -5.987278E-04
# Covariance matrix:
  1.2761E-13 -6.1447E-14 -3.0707E-16  1.8049E-15  6.4413E-14 -2.9797E-13
 -6.1447E-14  1.8921E-13  2.8356E-15 -5.8800E-15  4.6982E-14  1.0049E-12
 -3.0707E-16  2.8356E-15  4.8979E-14 -1.6498E-14  1.2968E-15  1.6566E-14
  1.8049E-15 -5.8800E-15 -1.6498E-14  1.9551E-14 -1.3434E-15 -3.4902E-14
  6.4413E-14  4.6982E-14  1.2968E-15 -1.3434E-15  1.0155E-13  2.4169E-13
 -2.9797E-13  1.0049E-12  1.6566E-14 -3.4902E-14  2.4169E-13  5.9600E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   -1.245196   18.026895    0.942117   -0.008279   -0.382314  2456507.040418
# Heliocentric elements and errors
Epoch:              2456506.5000  =  2013/08/02
Mean Anomaly:          321.83340 +/-     0.049
Argument of Peri:      261.35631 +/-     0.059
Long of Asc Node:      158.84432 +/-     0.004
Inclination:             2.01585 +/-     0.000
Eccentricity:         0.07295276 +/-    0.0000
Semi-Major Axis:     36.46960316 +/-    0.0017
Time of Perihelion: 2465035.0653 +/-      12.0
Perihelion:          33.80904499 +/-    0.0023
Aphelion:            39.13016133 +/-    0.0025
Period (y)              220.2443 +/-      0.02
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           33.03800404 +/-    0.0004
Ecliptic Y            9.76423688 +/-    0.0001
Ecliptic Z           -0.74019844 +/-    0.0000
Ecliptic XDOT        -0.00099164 +/-    0.0000
Ecliptic YDOT         0.00284097 +/-    0.0000
Ecliptic ZDOT        -0.00008066 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   34.45866903 +/-    0.0003
Geocenter to KBO     34.06283849 +/-    0.0004
# Hcoef:  7.87

The following table shows the complete astrometric record for 13US15. 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 (13US15) followed by the observatory code and reference code for the source of the astrometry.

2013 08  02.53964  01 08 24.459  +05 55 10.09  23.2r 13US15    568  C~2NKV      
2013 08  02.58233  01 08 24.400  +05 55 09.60  23.1r 13US15    568  C~2NKV      
2013 08  30.46168  01 07 12.608  +05 46 39.09  23.4r 13US15    568  C~2NKV      
2013 08  30.46636  01 07 12.582  +05 46 38.87  23.2r 13US15    568  C~2NKV      
2013 08  30.47107  01 07 12.565  +05 46 39.00  23.3r 13US15    568  C~2NKV      
2013 08  30.47584  01 07 12.534  +05 46 38.93  23.2r 13US15    568  C~2NKV      
2013 08  31.45951  01 07 08.803  +05 46 13.76  23.0r 13US15    568  C~2NKV      
2013 08  31.52510  01 07 08.544  +05 46 12.09  23.1r 13US15    568  C~2NKV      
2013 10  06.41277  01 04 15.658  +05 27 35.11        13US15    568  C~2NKV      
2013 10  06.50014  01 04 15.176  +05 27 32.20  23.0r 13US15    568  C~2NKV      
2013 10  06.50554  01 04 15.147  +05 27 31.91  22.9r 13US15    568  C~2NKV      
2013 10  06.51103  01 04 15.108  +05 27 31.83  22.9r 13US15    568  C~2NKV      
2013 10  06.51584  01 04 15.081  +05 27 31.69  23.0r 13US15    568  C~2NKV      
2013 10  09.54274  01 03 58.717  +05 25 48.56  23.2r 13US15    568  C~2NKV      
2013 10  31.25446  01 02 04.350  +05 13 59.17  23.5r 13US15    568  C~2Gdq      
2013 10  31.29744  01 02 04.135  +05 13 57.87  23.0r 13US15    568  C~2Gdq      
2013 10  31.34016  01 02 03.920  +05 13 56.59  23.1r 13US15    568  C~2Gdq      
2013 11  01.28119  01 01 59.268  +05 13 28.20  23.3r 13US15    568  C~2NKV      
2013 11  01.40856  01 01 58.627  +05 13 24.33  23.0r 13US15    568  C~2NKV      
2013 11  05.45881  01 01 39.097  +05 11 25.55  22.9r 13US15    568  C~2NKV      
2013 11  29.32101  01 00 05.676  +05 02 10.68  23.7r 13US15    568  C~2NKV      
2013 11  29.32791  01 00 05.628  +05 02 10.36  23.4r 13US15    568  C~2NKV      
2013 12  04.27126  00 59 52.129  +05 00 54.06  23.2r 13US15    568  C~2NKV      
2013 12  04.32344  00 59 51.999  +05 00 53.22  23.4r 13US15    568  C~2NKV      
2014 06  27.61338  01 14 52.035  +06 33 06.42  23.5r 13US15    568  C~2NKV      
2014 06  29.58900  01 14 57.202  +06 33 32.10  23.4r 13US15    568  C~2NKV      
2014 07  24.57262  01 15 27.643  +06 35 22.93  23.3r 13US15    568  C~2NKV      
2014 07  27.60338  01 15 26.852  +06 35 09.23  23.1r 13US15    568  C~2NKV      
2014 08  22.60340  01 14 41.770  +06 29 24.73  23.2r 13US15    568  C~2NKV      
2014 08  23.57976  01 14 38.835  +06 29 04.66  23.1r 13US15    568  C~2NKV      
2014 08  28.44260  01 14 22.972  +06 27 16.61  23.1r 13US15    568  C~2NKV      
2014 10  23.34848  01 09 50.070  +05 58 24.71  23.0r 13US15    568  C~2NKV      
2014 10  26.44393  01 09 33.707  +05 56 44.87  23.2r 13US15    568  C~2NKV      
2014 10  27.38720  01 09 28.784  +05 56 14.91  22.9r 13US15    568  C~2NKV      
2014 11  19.19777  01 07 41.955  +05 45 35.53  23.1r 13US15    568  C~2NKV      
2014 11  19.26507  01 07 41.682  +05 45 33.91  23.3r 13US15    568  C~2NKV      
2014 11  25.21441  01 07 19.298  +05 43 23.80  23.6r 13US15    568  C~2NKV      
2014 12  17.23891  01 06 24.187  +05 38 21.20  23.4r 13US15    568  C~2NKV      
2015 01  18.22533  01 06 36.301  +05 40 40.06  23.3r 13US15    568  C~2NKV      
2019 10  26.241320 01 45 29.069  +09 13 13.95  23.1G 13US15    G37  C~3clS      
2019 10  26.332720 01 45 28.558  +09 13 11.03        13US15    G37  C~3clS      

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     0.03       0.00     0.03
     2   0.0001      0.00     0.01       0.00    -0.02
     3   0.0764      0.00     0.11       0.00    -0.12
     4   0.0765      0.00    -0.01       0.00    -0.22
     5   0.0765      0.00     0.01       0.00     0.03
     6   0.0765      0.00    -0.18       0.00     0.08
     7   0.0792      0.00     0.01       0.00     0.03
     8   0.0794      0.00     0.01       0.00     0.04
     9   0.1776      0.00     0.01       0.00    -0.00
    10   0.1779      0.00    -0.01       0.00     0.06
    11   0.1779      0.00    -0.00       0.00    -0.04
    12   0.1779      0.00    -0.14       0.00     0.06
    13   0.1779      0.00    -0.15       0.00     0.09
    14   0.1862      0.00    -0.04       0.00    -0.06
    15   0.2456      0.00     0.13       0.00    -0.03
    16   0.2457      0.00     0.16       0.00    -0.03
    17   0.2459      0.00     0.18       0.00    -0.02
    18   0.2484      0.00     0.09       0.00     0.02
    19   0.2488      0.00     0.07       0.00    -0.03
    20   0.2599      0.00    -0.00       0.00     0.02
    21   0.3252      0.00     0.06       0.00     0.05
    22   0.3252      0.00    -0.34       0.00    -0.16
    23   0.3388      0.00    -0.04       0.00     0.16
    24   0.3389      0.00     0.04       0.00     0.05
    25   0.9010      0.00    -0.04       0.00     0.07
    26   0.9064      0.00    -0.10       0.00     0.07
    27   0.9748      0.00     0.04       0.00    -0.01
    28   0.9831      0.00     0.08       0.00    -0.03
    29   1.0542      0.00    -0.04       0.00    -0.06
    30   1.0569      0.00     0.05       0.00     0.13
    31   1.0702      0.00    -0.00       0.00    -0.01
    32   1.2233      0.00     0.03       0.00    -0.01
    33   1.2318      0.00     0.02       0.00    -0.05
    34   1.2344      0.00     0.04       0.00    -0.01
    35   1.2968      0.00     0.01       0.00     0.07
    36   1.2970      0.00     0.04       0.00     0.02
    37   1.3133      0.00    -0.03       0.00    -0.05
    38   1.3736      0.00    -0.07       0.00    -0.09
    39   1.4612      0.00     0.03       0.00    -0.00
    40   6.2305      0.00    -0.05       0.00     0.02
    41   6.2308      0.00     0.05       0.00    -0.01

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.

13US15    quality flag:3

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

axisobj        36.635    36.635    36.635
ecceobj         0.075     0.075     0.075
incobj          2.011     2.011     2.011
qmin           33.229    33.227    33.230
qmax           40.097    40.086    40.087
amean          36.484    36.484    36.485
amin           36.090    36.090    36.090
amax           36.898    36.899    36.894
emean           0.066     0.066     0.066
emin            0.043     0.043     0.043
emax            0.088     0.088     0.088
imean           1.360     1.359     1.364
imin            1.017     1.004     1.022
imax            1.679     1.678     1.679
excite_mean     0.071     0.071     0.071
fracstop        1.000     1.000     1.000
cjmean          3.022     3.022     3.022

libcent 0       181.0     181.5     181.6
libamp  0       104.4     103.9     103.9
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       181.2     181.1     181.4
kozaiamp        180.0     180.0     180.0