Orbit Fit and Astrometric record for 13SM100

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: 13SM100   
# Created Fri Dec 15 02:37:53 2017
# Orbit generated from Bernstein formalism
# Fitting   43 observations of   43
# Arc:   4.07y
# First observation: 2013/08/05
#  Last observation: 2017/08/30
Preliminary a, adot, b, bdot, g, gdot:
  -0.000071   0.027063  -0.000002   0.000022   0.025606   0.000000
# Chi-squared of fit:    13.99 DOF:   80 RMS:  0.10
# Min/Max residuals:    -0.38    0.27
# Exact a, adot, b, bdot, g, gdot:
  1.658599E-05  2.689682E-02 -5.179725E-07  2.289451E-05  2.546187E-02 -1.485500E-04
# Covariance matrix:
  1.1830E-13 -1.7992E-14  7.2105E-16 -2.0186E-16  8.0442E-14  7.7318E-14
 -1.7992E-14  1.7326E-13  7.6627E-16 -1.1839E-16  1.0720E-13  1.6681E-12
  7.2105E-16  7.6627E-16  5.9144E-14 -2.6417E-14  1.4197E-15  8.5447E-15
 -2.0186E-16 -1.1839E-16 -2.6417E-14  2.7408E-14 -3.3380E-16 -1.2909E-15
  8.0442E-14  1.0720E-13  1.4197E-15 -3.3380E-16  1.7275E-13  1.2020E-12
  7.7318E-14  1.6681E-12  8.5447E-15 -1.2909E-15  1.2020E-12  1.9084E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   -1.498513   14.323088    0.892266   -0.012698   -0.486403  2456509.978378
# Heliocentric elements and errors
Epoch:              2456500.5000  =  2013/07/27
Mean Anomaly:          348.25136 +/-     0.060
Argument of Peri:      285.84926 +/-     0.080
Long of Asc Node:      102.44650 +/-     0.014
Inclination:             1.47983 +/-     0.000
Eccentricity:         0.12834212 +/-    0.0001
Semi-Major Axis:     45.44433850 +/-    0.0029
Time of Perihelion: 2460152.2667 +/-      18.7
Perihelion:          39.61191558 +/-    0.0037
Aphelion:            51.27676143 +/-    0.0043
Period (y)              306.3571 +/-      0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           38.73253843 +/-    0.0006
Ecliptic Y            8.97172934 +/-    0.0002
Ecliptic Z           -1.02703973 +/-    0.0000
Ecliptic XDOT        -0.00073712 +/-    0.0000
Ecliptic YDOT         0.00279746 +/-    0.0000
Ecliptic ZDOT         0.00000302 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   39.77129959 +/-    0.0006
Geocenter to KBO     39.27440566 +/-    0.0006
# Hcoef:  8.62

The following table shows the complete astrometric record for 13SM100. 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 (13SM100) followed by the observatory code and reference code for the source of the astrometry.

2013 08  05.47760  00 55 03.869  +04 15 55.98  24.6r 13SM100   568  C~2NKL      
2013 08  05.51647  00 55 03.804  +04 15 55.35  24.8r 13SM100   568  C~2NKL      
2013 08  08.45650  00 54 58.467  +04 15 15.62  24.3r 13SM100   568  C~2NKL      
2013 08  31.58046  00 53 53.741  +04 07 47.37  24.7r 13SM100   568  C~2NKL      
2013 09  01.42715  00 53 50.717  +04 07 26.95  24.0r 13SM100   568  C~2NKL      
2013 09  01.46598  00 53 50.569  +04 07 26.13  24.2r 13SM100   568  C~2NKL      
2013 09  05.40666  00 53 35.860  +04 05 48.15  24.6r 13SM100   568  C~2NKL      
2013 09  05.44546  00 53 35.720  +04 05 47.32  24.4r 13SM100   568  C~2NKL      
2013 09  29.32731  00 51 52.646  +03 54 40.23  24.7r 13SM100   568  C~2NKL      
2013 09  29.33220  00 51 52.629  +03 54 40.01  24.4r 13SM100   568  C~2NKL      
2013 09  29.37646  00 51 52.421  +03 54 38.67  24.3r 13SM100   568  C~2NKL      
2013 09  29.41553  00 51 52.242  +03 54 37.53  24.3r 13SM100   568  C~2NKL      
2013 10  03.36136  00 51 33.844  +03 52 40.82  27.7r 13SM100   568  C~2NKL      
2013 10  03.42199  00 51 33.563  +03 52 39.24  24.1r 13SM100   568  C~2NKL      
2013 10  04.48370  00 51 28.582  +03 52 07.78  24.5r 13SM100   568  C~2NKL      
2013 10  04.49405  00 51 28.536  +03 52 07.54  24.1r 13SM100   568  C~2NKL      
2013 10  04.50281  00 51 28.483  +03 52 07.18  24.5r 13SM100   568  C~2NKL      
2013 10  09.46918  00 51 05.155  +03 49 40.76  24.7r 13SM100   568  C~2NKL      
2013 11  27.26350  00 47 54.682  +03 30 37.42  24.0r 13SM100   568  C~2NKL      
2013 11  27.30798  00 47 54.568  +03 30 36.58        13SM100   568  C~2NKL      
2013 12  05.22182  00 47 37.367  +03 29 05.26  23.9r 13SM100   568  C~2NKL      
2014 06  27.57448  01 00 39.018  +04 52 28.22  24.7r 13SM100   568  C~2NKL      
2014 06  28.57952  01 00 40.920  +04 52 37.87  24.7r 13SM100   568  C~2NKL      
2014 07  27.53111  01 00 56.830  +04 53 06.94  24.3r 13SM100   568  C~2NKL      
2014 08  22.61348  01 00 08.215  +04 47 09.68  24.9r 13SM100   568  C~2NKL      
2014 10  23.27749  00 55 48.556  +04 19 30.91  24.1r 13SM100   568  C~2NKL      
2014 10  23.33112  00 55 48.316  +04 19 29.75  24.6r 13SM100   568  C~2NKL      
2014 10  23.38450  00 55 48.061  +04 19 27.97  24.2r 13SM100   568  C~2NKL      
2014 10  25.25487  00 55 39.659  +04 18 36.94  23.7r 13SM100   568  C~2NKL      
2014 10  25.45680  00 55 38.736  +04 18 31.31  24.2r 13SM100   568  C~2NKL      
2014 10  27.24490  00 55 30.809  +04 17 43.15  24.9r 13SM100   568  C~2NKL      
2014 10  27.30309  00 55 30.566  +04 17 41.62  24.5r 13SM100   568  C~2NKL      
2014 10  27.36937  00 55 30.264  +04 17 39.91  23.9r 13SM100   568  C~2NKL      
2014 10  29.25791  00 55 22.018  +04 16 49.96  24.2r 13SM100   568  C~2NKL      
2014 11  19.20738  00 54 01.505  +04 08 54.94  24.8r 13SM100   568  C~2NKL      
2014 11  19.27463  00 54 01.283  +04 08 53.63  24.3r 13SM100   568  C~2NKL      
2014 11  25.22391  00 53 43.307  +04 07 12.15  23.9r 13SM100   568  C~2NKL      
2015 08  20.53131  01 05 59.226  +05 23 39.08  23.9r 13SM100   568  C~2NKL      
2015 12  07.36957  00 58 57.564  +04 40 29.77  24.3w 13SM100   568  C~2NKL      
2017 01  31.22433  01 05 08.072  +05 21 15.09  24.9w 13SM100   568  C~2NKL      
2017 07  24.59587  01 18 03.840  +06 38 49.78  25.0w 13SM100   568  C~2NKL      
2017 08  25.52748  01 17 15.960  +06 32 52.90  24.8w 13SM100   568  C~2NKL      
2017 08  30.46920  01 17 01.231  +06 31 15.41  24.8w 13SM100   568  C~2NKL      

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     0.11
  2   0.0001     -1.14     0.02      -0.21    -0.04
  3   0.0082    -90.13    -0.04      -5.99     0.06
  4   0.0715  -1156.44    -0.03     -44.97     0.02
  5   0.0738  -1206.06     0.08     -46.30    -0.09
  6   0.0739  -1208.42     0.06     -46.20     0.04
  7   0.0847  -1449.27     0.05     -51.41    -0.14
  8   0.0848  -1451.52     0.27     -51.36    -0.07
  9   0.1502  -3132.06    -0.13     -69.31     0.14
 10   0.1502  -3132.38    -0.08     -69.41     0.04
 11   0.1503  -3135.77    -0.08     -69.44    -0.00
 12   0.1504  -3138.68    -0.00     -69.45    -0.03
 13   0.1612  -3437.80    -0.06     -70.37    -0.12
 14   0.1614  -3442.29     0.13     -70.20     0.03
 15   0.1643  -3523.23     0.09     -70.32    -0.02
 16   0.1643  -3523.96     0.17     -70.27     0.02
 17   0.1643  -3524.83    -0.03     -70.30    -0.01
 18   0.1779  -3903.54    -0.38     -69.96     0.17
 19   0.3115  -6977.22     0.02     -17.34     0.09
 20   0.3117  -6979.12    -0.05     -17.46    -0.12
 21   0.3333  -7252.22     0.04      -1.55     0.06
 22   0.8928   5470.30     0.16      90.35    -0.16
 23   0.8956   5500.27     0.07      88.32     0.03
 24   0.9748   5731.12    -0.12      23.67    -0.09
 25   1.0462   4922.43    -0.23     -26.55    -0.08
 26   1.2151    699.56     0.04     -60.02    -0.07
 27   1.2152    695.80     0.26     -59.70     0.18
 28   1.2154    691.60     0.02     -59.87    -0.05
 29   1.2205    555.96     0.07     -58.40     0.11
 30   1.2210    541.06    -0.05     -58.26    -0.01
 31   1.2259    413.08    -0.21     -56.87     0.01
 32   1.2261    409.14     0.05     -56.88    -0.07
 33   1.2263    404.31     0.01     -56.71     0.01
 34   1.2314    271.25     0.02     -55.12    -0.04
 35   1.2888  -1023.18    -0.09     -27.59     0.04
 36   1.2890  -1026.75    -0.10     -27.51    -0.03
 37   1.3053  -1314.02     0.02     -17.06     0.01
 38   2.0398  10613.88    -0.12     -17.90     0.09
 39   2.3378   3793.21     0.04      11.08    -0.05
 40   3.4901   9851.16     0.11     141.81     0.03
 41   3.9675  22404.30     0.05      43.35    -0.09
 42   4.0549  21599.85    -0.08     -17.85     0.02
 43   4.0684  21357.18     0.02     -25.15     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.

13SM100    quality flag:3

Type:      CLASSICAL CLASSICAL CLASSICAL

axisobj        45.709    45.717    45.701
ecceobj         0.133     0.133     0.133
incobj          1.480     1.480     1.480
qmin           38.661    38.677    38.676
qmax           52.480    52.446    52.451
amean          45.379    45.388    45.371
amin           44.995    45.003    44.999
amax           45.816    45.816    45.808
emean           0.130     0.130     0.130
emin            0.115     0.116     0.116
emax            0.145     0.145     0.145
imean           0.720     0.718     0.722
imin            0.000     0.000     0.000
imax            1.212     1.209     1.215
excite_mean     0.131     0.131     0.131
fracstop        1.000     1.000     1.000
cjmean          3.097     3.097     3.097

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       180.1     179.9     179.9
kozaiamp        180.0     180.0     180.0