Orbit Fit and Astrometric record for 13UA18

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: 13UA18    
# Created Fri Mar 29 01:16:11 2024
# Orbit generated from Bernstein formalism
# Fitting     33 observations of     33
# Arc:   2.35y
# First observation: 2013/08/02
#  Last observation: 2015/12/07
Preliminary a, adot, b, bdot, g, gdot:
  -0.000142   0.021748   0.000000   0.002543   0.023137   0.000000
# Chi-squared of fit:    15.69 DOF:     60 RMS:  0.12
# Min/Max residuals:    -0.47    0.27
# Exact a, adot, b, bdot, g, gdot:
  1.471283E-05  2.158097E-02  1.974319E-06  2.538212E-03  2.306078E-02  3.191552E-04
# Covariance matrix:
  1.6078E-13 -1.5604E-14 -1.8111E-15  1.1910E-14  1.2071E-13  2.5998E-12
 -1.5604E-14  2.9145E-13 -8.2802E-15  4.1493E-14  1.6019E-13  8.7928E-12
 -1.8111E-15 -8.2802E-15  8.9176E-14 -7.5502E-14 -6.5005E-15 -4.3276E-13
  1.1910E-14  4.1493E-14 -7.5502E-14  1.3058E-13  3.6169E-14  2.1483E-12
  1.2071E-13  1.6019E-13 -6.5005E-15  3.6169E-14  2.3442E-13  7.7610E-12
  2.5998E-12  8.7928E-12 -4.3276E-13  2.1483E-12  7.7610E-12  4.5472E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
   -1.222014   17.918719    0.941445   -0.008161   -0.383972  2456507.032638
# Heliocentric elements and errors
Epoch:              2456500.5000  =  2013/07/27
Mean Anomaly:          211.76593 +/-     2.690
Argument of Peri:      138.93789 +/-     2.690
Long of Asc Node:       26.91896 +/-     0.001
Inclination:             6.78722 +/-     0.001
Eccentricity:         0.01731945 +/-    0.0005
Semi-Major Axis:     43.12011666 +/-    0.0026
Time of Perihelion: 2499086.2049 +/-     772.8
Perihelion:          42.37329986 +/-    0.0227
Aphelion:            43.86693347 +/-    0.0227
Period (y)              283.1575 +/-      0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           41.90571369 +/-    0.0009
Ecliptic Y           12.56405472 +/-    0.0003
Ecliptic Z           -0.92467017 +/-    0.0000
Ecliptic XDOT        -0.00075236 +/-    0.0000
Ecliptic YDOT         0.00245069 +/-    0.0000
Ecliptic ZDOT         0.00030061 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   43.75842006 +/-    0.0008
Geocenter to KBO     43.36366363 +/-    0.0009
# Hcoef:  7.85

The following table shows the complete astrometric record for 13UA18. 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 (13UA18) followed by the observatory code and reference code for the source of the astrometry.

2013 08  02.53186  01 07 58.198  +05 53 59.17  24.5r 13UA18    568  C~2NKc      
2013 08  02.57457  01 07 58.136  +05 53 58.85  24.9r 13UA18    568  C~2NKc      
2013 08  30.44895  01 06 56.696  +05 47 43.24  23.6r 13UA18    568  C~2NKc      
2013 08  31.45170  01 06 53.517  +05 47 24.02  23.9r 13UA18    568  C~2NKc      
2013 09  04.43153  01 06 40.364  +05 46 04.79  24.3r 13UA18    568  C~2NKc      
2013 09  04.47439  01 06 40.185  +05 46 03.53  24.2r 13UA18    568  C~2NKc      
2013 09  04.50640  01 06 40.085  +05 46 03.40  25.1r 13UA18    568  C~2NKc      
2013 10  06.41277  01 04 31.474  +05 33 21.26  24.0r 13UA18    568  C~2NKc      
2013 10  06.50014  01 04 31.073  +05 33 18.92  24.2r 13UA18    568  C~2NKc      
2013 10  06.51103  01 04 31.027  +05 33 18.70  23.7r 13UA18    568  C~2NKc      
2013 10  09.54274  01 04 17.656  +05 32 00.68  24.2r 13UA18    568  C~2NKc      
2013 10  31.25446  01 02 44.183  +05 23 04.53  24.6r 13UA18    568  C~2NKc      
2013 10  31.29744  01 02 44.014  +05 23 03.46  23.8r 13UA18    568  C~2NKc      
2013 10  31.34016  01 02 43.846  +05 23 02.55  24.5r 13UA18    568  C~2NKc      
2013 11  01.28119  01 02 40.023  +05 22 40.97  24.1r 13UA18    568  C~2NKc      
2013 11  01.40856  01 02 39.493  +05 22 38.27  23.8r 13UA18    568  C~2NKc      
2013 11  05.45881  01 02 23.452  +05 21 08.52  24.1r 13UA18    568  C~2NKc      
2013 11  29.32791  01 01 05.628  +05 14 10.90  24.7r 13UA18    568  C~2NKc      
2013 12  04.27126  01 00 54.059  +05 13 14.54  24.1r 13UA18    568  C~2NKc      
2013 12  04.32344  01 00 53.937  +05 13 13.81  24.1r 13UA18    568  C~2NKc      
2014 06  27.60171  01 12 05.997  +06 28 43.13  24.0r 13UA18    568  C~2NKc      
2014 06  28.60677  01 12 07.873  +06 28 54.42  24.2r 13UA18    568  C~2NKc      
2014 07  24.56479  01 12 27.457  +06 30 51.98  24.8r 13UA18    568  C~2NKc      
2014 07  27.59560  01 12 26.089  +06 30 43.99  24.3r 13UA18    568  C~2NKc      
2014 08  22.56814  01 11 44.608  +06 26 34.21  24.2r 13UA18    568  C~2NKc      
2014 08  22.58822  01 11 44.538  +06 26 33.77  24.5r 13UA18    568  C~2NKc      
2014 08  28.43091  01 11 28.484  +06 24 58.15  24.0r 13UA18    568  C~2NKc      
2014 10  23.35237  01 07 44.123  +06 03 09.62  24.2r 13UA18    568  C~2NKc      
2014 10  27.39107  01 07 26.814  +06 01 31.47  24.0r 13UA18    568  C~2NKc      
2014 12  17.25092  01 04 54.667  +05 48 08.38        13UA18    568  C~2NKc      
2015 01  17.30307  01 04 58.284  +05 50 06.80  24.0r 13UA18    568  C~2NKc      
2015 08  20.51903  01 16 14.839  +07 03 24.37  24.1r 13UA18    568  C~2NKc      
2015 12  07.38190  01 09 34.493  +06 25 45.56  24.4w 13UA18    568  C~2NKc      

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     0.02       0.00    -0.05
     2   0.0001     -0.98    -0.11       0.06    -0.01
     3   0.0764   -991.75     0.13       1.77     0.04
     4   0.0792  -1042.93     0.04       2.07     0.00
     5   0.0901  -1254.61     0.08       3.60    -0.03
     6   0.0902  -1257.56    -0.47       3.45    -0.22
     7   0.0903  -1258.99    -0.11       3.90     0.20
     8   0.1776  -3324.58     0.13      31.70     0.05
     9   0.1779  -3331.01    -0.04      31.83     0.02
    10   0.1779  -3331.73     0.02      31.89     0.06
    11   0.1862  -3546.08     0.05      36.03    -0.03
    12   0.2456  -5041.42    -0.00      74.16     0.06
    13   0.2458  -5044.16     0.09      74.14    -0.07
    14   0.2459  -5046.83     0.24      74.26    -0.06
    15   0.2485  -5107.87     0.05      76.17    -0.09
    16   0.2488  -5116.22     0.04      76.70     0.11
    17   0.2599  -5372.06     0.06      85.45     0.08
    18   0.3252  -6606.80    -0.29     144.83    -0.24
    19   0.3388  -6788.21     0.05     159.01     0.12
    20   0.3389  -6790.18    -0.09     159.04    -0.03
    21   0.9009   4210.38    -0.13     525.25     0.01
    22   0.9037   4240.55    -0.07     525.11    -0.09
    23   0.9748   4555.35    -0.02     523.42    -0.12
    24   0.9831   4533.44     0.14     523.75     0.27
    25   1.0542   3866.38     0.22     526.68    -0.06
    26   1.0542   3865.24    -0.07     526.67    -0.09
    27   1.0702   3607.48     0.13     528.85     0.04
    28   1.2233     15.29     0.03     588.94     0.07
    29   1.2344   -260.83     0.00     596.47     0.11
    30   1.3736  -2665.77     0.12     719.50    -0.08
    31   1.4586  -2570.66    -0.15     808.35     0.15
    32   2.0479   8432.71    -0.04    1052.74    -0.07
    33   2.3459   2053.07    -0.06    1217.39    -0.05

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.

13UA18    quality flag:3

Type:      CLASSICAL CLASSICAL CLASSICAL

axisobj        43.338    43.346    43.330
ecceobj         0.012     0.011     0.012
incobj          6.770     6.770     6.770
qmin           41.203    41.243    41.175
qmax           45.127    45.130    45.157
amean          43.084    43.092    43.076
amin           42.758    42.762    42.744
amax           43.415    43.428    43.405
emean           0.023     0.022     0.024
emin            0.004     0.004     0.005
emax            0.040     0.040     0.041
imean           6.015     6.018     6.011
imin            5.222     5.229     5.216
imax            6.766     6.767     6.771
excite_mean     0.108     0.107     0.108
fracstop        1.000     1.000     1.000
cjmean          3.077     3.077     3.077

libcent 0      -180.0    -180.0    -180.0
libamp  0      -180.0    -180.0    -180.0
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       183.2     182.8     182.8
kozaiamp        180.0     180.0     180.0