Orbit Fit and Astrometric record for 13UF15

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: 13UF15    
# Created Wed Jul 18 01:38:15 2018
# Orbit generated from Bernstein formalism
# Fitting   42 observations of   45
# Arc:  12.98y
# First observation: 2004/12/14
#  Last observation: 2017/12/08
Preliminary a, adot, b, bdot, g, gdot:
  -0.006355   0.034400  -0.002040   0.007349   0.024771   0.000000
# Chi-squared of fit:    22.20 DOF:   78 RMS:  0.13
# Min/Max residuals:    -0.41    0.31
# Exact a, adot, b, bdot, g, gdot:
  1.738811E-05  3.137399E-02  4.004209E-06  6.700098E-03  2.844738E-02 -2.432912E-03
# Covariance matrix:
  4.5562E-13 -9.1502E-14  3.7686E-14 -1.3462E-14 -4.4399E-14 -1.3253E-13
 -9.1502E-14  3.2605E-14 -1.7388E-14  6.1727E-15 -1.5459E-14  6.0395E-14
  3.7686E-14 -1.7388E-14  2.7191E-13 -3.1050E-14  9.5745E-15 -3.5772E-14
 -1.3462E-14  6.1727E-15 -3.1050E-14  4.5492E-15 -3.2788E-15  1.2700E-14
 -4.4399E-14 -1.5459E-14  9.5745E-15 -3.2788E-15  1.2127E-13 -3.0894E-14
 -1.3253E-13  6.0395E-14 -3.5772E-14  1.2700E-14 -3.0894E-14  1.2427E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
   -2.676900   25.957789   -0.818356   -0.025466   -0.546749  2453353.656834
# Heliocentric elements and errors
Epoch:              2453350.5000  =  2004/12/11
Mean Anomaly:          343.66043 +/-     0.006
Argument of Peri:       10.40709 +/-     0.008
Long of Asc Node:       39.35919 +/-     0.000
Inclination:            12.40137 +/-     0.000
Eccentricity:         0.16184277 +/-    0.0000
Semi-Major Axis:     42.13717432 +/-    0.0028
Time of Perihelion: 2457885.0549 +/-       1.6
Perihelion:          35.31757725 +/-    0.0029
Aphelion:            48.95677139 +/-    0.0037
Period (y)              273.5309 +/-      0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           31.70120099 +/-    0.0004
Ecliptic Y           16.34618067 +/-    0.0002
Ecliptic Z           -1.64161328 +/-    0.0000
Ecliptic XDOT        -0.00150569 +/-    0.0000
Ecliptic YDOT         0.00261847 +/-    0.0000
Ecliptic ZDOT         0.00065515 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   35.70516294 +/-    0.0004
Geocenter to KBO     35.15262521 +/-    0.0004
# Hcoef:  6.20

The following table shows the complete astrometric record for 13UF15. 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 (13UF15) followed by the observatory code and reference code for the source of the astrometry.

2004 12  14.156091 01 40 11.59   +07 31 53.3   21.6V 13UF15    645  C~2e9d      
2004 12  14.156920 01 40 11.58   +07 31 53.3   21.5V 13UF15    645  C~2e9d      
2004 12  14.159408 01 40 11.59   +07 31 53.4   22.9V 13UF15    645  C~2e9d      
2008 10  19.20148  02 09 59.87   +11 51 26.5         13UF15    291  C~1vX4      
2008 10  19.22486  02 09 59.72   +11 51 26.2         13UF15    291  C~1vX4      
2008 10  19.24833  02 09 59.59   +11 51 25.6         13UF15    291  C~1vX4      
2010 10  08.39686  02 24 12.577  +13 54 20.43  21.6w 13UF15    F51  C~1vX4      
2010 10  08.39755  02 24 12.576  +13 54 20.43  21.6w 13UF15    F51  C~1vX4      
2010 10  08.41499  02 24 12.488  +13 54 19.99  21.8w 13UF15    F51  C~1vX4      
2010 10  08.43324  02 24 12.388  +13 54 19.63  21.8w 13UF15    F51  C~1vX4      
2010 10  08.45233  02 24 12.289  +13 54 19.22  21.6w 13UF15    F51  C~1vX4      
2010 10  08.45301  02 24 12.287  +13 54 19.22  21.6w 13UF15    F51  C~1vX4      
2010 10  08.58902  02 24 11.587  +13 54 16.13  21.5r 13UF15    F51  C~1vX4      
2010 10  08.60001  02 24 11.505  +13 54 15.72  21.6r 13UF15    F51  C~1vX4      
2011 12  02.24914  02 26 00.062  +14 32 39.29  21.4i 13UF15    F51  C~1vX4      
2011 12  02.26196  02 26 00.003  +14 32 39.26  21.5i 13UF15    F51  C~1vX4      
2011 12  02.27557  02 25 59.941  +14 32 38.77  21.5r 13UF15    F51  C~1vX4      
2011 12  02.28760  02 25 59.880  +14 32 38.39  21.6r 13UF15    F51  C~1vX4      
2013 07  18.59942  02 46 10.748  +16 47 23.60  21.7w 13UF15    F51  C~1vX4      
2013 07  18.60362  02 46 10.757  +16 47 23.72  21.7w 13UF15    F51  C~1vX4      
2013 07  18.60778  02 46 10.768  +16 47 23.69  21.5w 13UF15    F51  C~1vX4      
2013 07  18.61195  02 46 10.781  +16 47 23.91  21.6w 13UF15    F51  C~1vX4      
2013 10  25.36575  02 43 00.753  +16 41 42.20  21.4r 13UF15    F51  C~1vX4      
2013 10  25.37807  02 43 00.688  +16 41 42.14  21.2r 13UF15    F51  C~1vX4      
2013 10  25.52301  02 42 59.857  +16 41 38.99  21.3i 13UF15    F51  C~1vX4      
2013 10  25.53560  02 42 59.788  +16 41 38.75  21.0i 13UF15    F51  C~1vX4      
2013 10  30.34633  02 42 32.420  +16 39 55.31  21.6w 13UF15    F51  C~1vX4      
2013 10  30.36064  02 42 32.332  +16 39 55.15  21.6w 13UF15    F51  C~1vX4      
2013 10  30.48188  02 42 31.620  +16 39 52.50  21.4w 13UF15    F51  C~1vX4      
2013 10  30.49623  02 42 31.532  +16 39 52.15  21.6w 13UF15    F51  C~1vX4      
2014 10  28.53817  02 49 39.217  +17 37 06.59  21.7w 13UF15    F51  C~1vX4      
2014 10  28.55018  02 49 39.131  +17 37 06.38  21.3w 13UF15    F51  C~1vX4      
2014 10  28.56224  02 49 39.066  +17 37 06.08  21.6w 13UF15    F51  C~1vX4      
2014 10  28.57430  02 49 39.004  +17 37 05.92  21.1w 13UF15    F51  C~1vX4      
2014 12  11.21574  02 45 40.130  +17 22 06.19  21.6w 13UF15    F51  C~1vX4      
2014 12  11.22793  02 45 40.077  +17 22 06.07  21.6w 13UF15    F51  C~1vX4      
2014 12  11.24012  02 45 40.020  +17 22 05.64  21.7w 13UF15    F51  C~1vX4      
2014 12  11.25235  02 45 39.958  +17 22 05.44  21.5w 13UF15    F51  C~1vX4      
2016 10  07.45157  03 05 30.076  +19 32 33.20  21.9w 13UF15    F51  C~1zPh      
2016 10  07.47761  03 05 29.946  +19 32 32.79  21.8w 13UF15    F51  C~1zPh      
2016 10  07.49068  03 05 29.850  +19 32 32.71  22.0w 13UF15    F51  C~1zPh      
2017 12  08.27315  03 06 52.992  +20 07 31.61  21.7w 13UF15    F51  C~2SD9      
2017 12  08.28790  03 06 52.886  +20 07 31.24  21.9w 13UF15    F51  C~2SD9      
2017 12  08.30260  03 06 52.843  +20 07 31.04  21.8w 13UF15    F51  C~2SD9      
2017 12  08.31738  03 06 52.737  +20 07 30.61  21.7w 13UF15    F51  C~2SD9      

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     0.01       0.00    -0.06
  2   0.0000     -0.14    -0.10       0.05    -0.01
  3   0.0000      0.04     0.18       0.09     0.01
  4   3.8468  30444.66 (   0.08)   5334.01 (   0.80)
  5   3.8469  30442.44 (  -0.11)   5334.48 (   1.16)
  6   3.8469  30440.39 (  -0.11)   5334.56 (   1.13)
  7   5.8159  45157.78     0.00    8216.43     0.08
  8   5.8159  45157.77     0.04    8216.44     0.08
  9   5.8159  45156.35     0.05    8216.43     0.00
 10   5.8160  45154.78    -0.02    8216.57     0.05
 11   5.8160  45153.21    -0.03    8216.65     0.05
 12   5.8160  45153.19     0.00    8216.66     0.05
 13   5.8164  45142.03     0.01    8217.03    -0.16
 14   5.8164  45140.70    -0.41    8217.03    -0.21
 15   6.9653  47507.25    -0.05    9936.40    -0.09
 16   6.9654  47506.39     0.06    9936.65     0.10
 17   6.9654  47505.32     0.03    9936.47    -0.14
 18   6.9655  47504.31    -0.07    9936.39    -0.27
 19   8.5926  68206.99     0.05   12359.13    -0.02
 20   8.5926  68207.17     0.01   12359.21     0.04
 21   8.5926  68207.33    -0.05   12359.13    -0.07
 22   8.5926  68207.60     0.00   12359.29     0.07
 23   8.8630  65220.89    -0.07   12865.26     0.04
 24   8.8630  65219.89     0.08   12865.49     0.21
 25   8.8634  65206.31     0.07   12866.06     0.12
 26   8.8635  65205.19     0.13   12866.13     0.13
 27   8.8766  64758.32     0.14   12885.17    -0.14
 28   8.8767  64756.94     0.12   12885.40     0.03
 29   8.8770  64745.34     0.05   12885.94     0.03
 30   8.8770  64743.89    -0.02   12885.99     0.01
 31   9.8710  72417.39     0.04   14467.96    -0.06
 32   9.8710  72416.01    -0.20   14468.12     0.05
 33   9.8711  72414.91    -0.14   14468.10    -0.02
 34   9.8711  72413.90     0.01   14468.21     0.04
 35   9.9906  68465.80     0.01   14601.45     0.15
 36   9.9906  68464.96     0.09   14601.56     0.23
 37   9.9906  68463.95     0.01   14601.38     0.01
 38   9.9907  68462.94    -0.07   14601.45     0.05
 39  11.8146  89756.58     0.31   17674.28     0.01
 40  11.8147  89754.34     0.18   17674.37    -0.06
 41  11.8147  89752.77    -0.33   17674.68     0.16
 42  12.9832  91830.56     0.17   19575.61    -0.09
 43  12.9832  91828.71    -0.32   19575.63    -0.08
 44  12.9833  91827.94     0.26   19575.59    -0.14
 45  12.9833  91826.07    -0.25   19575.55    -0.20

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.

13UF15    quality flag:3

Type:          5:3EE     5:3EE     5:3EE

axisobj        42.707    42.715    42.698
ecceobj         0.172     0.172     0.172
incobj         12.348    12.348    12.348
qmin           34.165    34.153    34.163
qmax           50.660    50.740    50.667
amean          42.328    42.328    42.328
amin           41.963    41.967    41.965
amax           42.756    42.747    42.759
emean           0.169     0.169     0.169
emin            0.148     0.148     0.148
emax            0.188     0.189     0.189
imean          11.169    11.163    11.170
imin           10.566    10.554    10.569
imax           12.013    12.014    12.013
excite_mean     0.257     0.257     0.257
fracstop        1.000     1.000     1.000
cjmean          3.004     3.005     3.004

libcent 0       180.7     179.6     181.1
libamp  0        36.7      39.6      37.3
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       185.1     186.0     185.1
kozaiamp        179.9     180.0     180.0