Orbit Fit and Astrometric record for 13SZ100

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: 13SZ100   
# Created Fri Dec 15 02:37:53 2017
# Orbit generated from Bernstein formalism
# Fitting   37 observations of   37
# Arc:   4.07y
# First observation: 2013/08/05
#  Last observation: 2017/08/30
Preliminary a, adot, b, bdot, g, gdot:
  -0.000122   0.019088  -0.000003   0.002710   0.021617   0.000000
# Chi-squared of fit:    21.41 DOF:   68 RMS:  0.13
# Min/Max residuals:    -0.44    0.31
# Exact a, adot, b, bdot, g, gdot:
  1.463473E-05  1.903206E-02  2.673670E-06  2.707677E-03  2.166961E-02  4.043572E-04
# Covariance matrix:
  1.2910E-13 -3.5906E-14  7.4844E-16 -5.9406E-16  7.2450E-14 -3.5189E-14
 -3.5906E-14  1.7519E-13 -7.9404E-15  2.3332E-14  8.5968E-14  2.2576E-12
  7.4844E-16 -7.9404E-15  6.7264E-14 -2.8505E-14 -4.2551E-15 -1.2067E-13
 -5.9406E-16  2.3332E-14 -2.8505E-14  3.0865E-14  1.4517E-14  3.5710E-13
  7.2450E-14  8.5968E-14 -4.2551E-15  1.4517E-14  1.4712E-13  1.4326E-12
 -3.5189E-14  2.2576E-12 -1.2067E-13  3.5710E-13  1.4326E-12  3.4588E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   -2.633507   11.107147    0.863384   -0.024606   -0.535574  2456509.997828
# Heliocentric elements and errors
Epoch:              2456500.5000  =  2013/07/27
Mean Anomaly:          179.71738 +/-     0.237
Argument of Peri:      162.21985 +/-     0.237
Long of Asc Node:       27.86615 +/-     0.001
Inclination:             8.45047 +/-     0.000
Eccentricity:         0.06860086 +/-    0.0000
Semi-Major Axis:     43.69407498 +/-    0.0023
Time of Perihelion: 2509330.8662 +/-      69.4
Perihelion:          40.69662393 +/-    0.0030
Aphelion:            46.69152603 +/-    0.0032
Period (y)              288.8298 +/-      0.02
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           45.92758095 +/-    0.0008
Ecliptic Y            8.13992578 +/-    0.0001
Ecliptic Z           -2.12018430 +/-    0.0000
Ecliptic XDOT        -0.00040396 +/-    0.0000
Ecliptic YDOT         0.00237158 +/-    0.0000
Ecliptic ZDOT         0.00033953 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   46.69150100 +/-    0.0008
Geocenter to KBO     46.14758654 +/-    0.0008
# Hcoef:  8.06

The following table shows the complete astrometric record for 13SZ100. 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 (13SZ100) followed by the observatory code and reference code for the source of the astrometry.

2013 08  05.49705  00 44 58.077  +01 58 15.44  23.9r 13SZ100   568  C~2NKN      
2013 08  05.55029  00 44 57.974  +01 58 14.82  24.1r 13SZ100   568  C~2NKN      
2013 08  08.47594  00 44 52.425  +01 57 35.20  24.8r 13SZ100   568  C~2NKN      
2013 08  08.51475  00 44 52.341  +01 57 34.65  26.5r 13SZ100   568  C~2NKN      
2013 08  31.56101  00 43 50.039  +01 50 36.41  23.5r 13SZ100   568  C~2NKN      
2013 09  05.42605  00 43 33.317  +01 48 49.35  24.4r 13SZ100   568  C~2NKN      
2013 09  05.46492  00 43 33.171  +01 48 48.32  24.7r 13SZ100   568  C~2NKN      
2013 09  29.35704  00 42 00.187  +01 39 11.79  24.1r 13SZ100   568  C~2NKN      
2013 09  29.39589  00 42 00.025  +01 39 10.77  24.2r 13SZ100   568  C~2NKN      
2013 09  29.43972  00 41 59.861  +01 39 09.70  24.1r 13SZ100   568  C~2NKN      
2013 10  05.31801  00 41 35.548  +01 36 44.02  25.5r 13SZ100   568  C~2NKN      
2013 10  05.32294  00 41 35.551  +01 36 44.02  24.7r 13SZ100   568  C~2NKN      
2013 10  05.35570  00 41 35.390  +01 36 43.38  24.9r 13SZ100   568  C~2NKN      
2013 10  06.36409  00 41 31.210  +01 36 18.86  24.6r 13SZ100   568  C~2NKN      
2013 10  06.42856  00 41 30.936  +01 36 17.13  24.3r 13SZ100   568  C~2NKN      
2013 11  27.28847  00 38 33.696  +01 20 27.02  24.5r 13SZ100   568  C~2NKN      
2013 12  05.33562  00 38 18.924  +01 19 32.16  24.5r 13SZ100   568  C~2NKN      
2013 12  05.34248  00 38 18.932  +01 19 32.50  24.5r 13SZ100   568  C~2NKN      
2013 12  06.20469  00 38 17.652  +01 19 28.27  25.3r 13SZ100   568  C~2NKN      
2014 06  25.59667  00 48 52.495  +02 34 21.52  24.4r 13SZ100   568  C~2NKN      
2014 06  26.59553  00 48 53.825  +02 34 28.04  24.6r 13SZ100   568  C~2NKN      
2014 07  24.59245  00 49 00.225  +02 34 18.48  24.7r 13SZ100   568  C~2NKN      
2014 08  24.49767  00 48 00.609  +02 27 23.01  24.5r 13SZ100   568  C~2NKN      
2014 08  28.46980  00 47 48.632  +02 26 04.82  24.6r 13SZ100   568  C~2NKN      
2014 10  27.28941  00 43 56.588  +02 02 48.25  24.6r 13SZ100   568  C~2NKN      
2014 10  27.29329  00 43 56.571  +02 02 48.26  24.3r 13SZ100   568  C~2NKN      
2014 11  24.27113  00 42 27.499  +01 55 08.76  24.7r 13SZ100   568  C~2NKN      
2014 11  24.27501  00 42 27.502  +01 55 09.01  24.9r 13SZ100   568  C~2NKN      
2014 11  25.29743  00 42 25.057  +01 54 57.68  24.8r 13SZ100   568  C~2NKN      
2014 11  25.30131  00 42 25.043  +01 54 57.91  24.2r 13SZ100   568  C~2NKN      
2015 01  17.23338  00 42 08.468  +01 57 36.07  25.3r 13SZ100   568  C~2NKN      
2015 08  20.53545  00 51 59.551  +03 02 49.04  24.3r 13SZ100   568  C~2NKN      
2015 12  07.36135  00 45 47.775  +02 27 28.16  24.9w 13SZ100   568  C~2NKN      
2017 07  17.62072  01 00 18.791  +04 15 58.78  26.1w 13SZ100   568  C~2NKN      
2017 07  23.60916  01 00 16.837  +04 15 40.02  24.5w 13SZ100   568  C~2NKN      
2017 08  25.53703  00 59 19.483  +04 09 18.68  24.5w 13SZ100   568  C~2NKN      
2017 08  30.47857  00 59 04.872  +04 07 46.77  24.8w 13SZ100   568  C~2NKN      

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    -0.15       0.00    -0.14
  2   0.0001     -1.66    -0.17       0.03    -0.06
  3   0.0082    -93.72     0.06      -3.95    -0.03
  4   0.0083    -95.09     0.01      -3.97    -0.01
  5   0.0714  -1118.28     0.30     -24.11    -0.36
  6   0.0847  -1390.90     0.01     -24.70     0.15
  7   0.0848  -1393.32    -0.12     -24.80     0.05
  8   0.1502  -2902.05     0.01     -10.59     0.17
  9   0.1503  -2904.68    -0.01     -10.58     0.12
 10   0.1504  -2907.37     0.28     -10.60     0.02
 11   0.1665  -3299.94    -0.09      -2.16    -0.22
 12   0.1665  -3299.90     0.29      -2.18    -0.25
 13   0.1666  -3302.37     0.03      -1.83     0.03
 14   0.1694  -3369.66     0.04       0.11     0.25
 15   0.1696  -3374.12    -0.06       0.13     0.13
 16   0.3115  -6193.29     0.15     165.34     0.11
 17   0.3336  -6418.82    -0.44     201.56    -0.10
 18   0.3336  -6418.58    -0.03     201.83     0.13
 19   0.3360  -6437.92    -0.09     205.45    -0.20
 20   0.8873   4080.77     0.12     623.23     0.02
 21   0.8901   4101.67    -0.13     621.46    -0.07
 22   0.9667   4186.29    -0.06     575.26     0.08
 23   1.0513   3201.29    -0.03     541.07     0.07
 24   1.0622   3005.48    -0.08     539.09    -0.03
 25   1.2260   -741.97    -0.02     611.21    -0.00
 26   1.2260   -742.20    -0.02     611.32     0.09
 27   1.3026  -2150.95     0.02     710.21    -0.01
 28   1.3026  -2150.81     0.31     710.42     0.18
 29   1.3054  -2188.98    -0.07     714.32    -0.16
 30   1.3054  -2189.08    -0.03     714.62     0.12
 31   1.4503  -2355.99     0.03     957.35    -0.00
 32   2.0398   7329.66    -0.05    1104.25     0.01
 33   2.3378   1370.24    -0.03    1322.72     0.00
 34   3.9483  15950.20     0.13    2251.54     0.00
 35   3.9647  15915.78    -0.06    2245.53    -0.03
 36   4.0549  14971.73    -0.03    2225.85    -0.05
 37   4.0684  14733.35    -0.01    2225.74    -0.02

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.

13SZ100    quality flag:3

Type:      CLASSICAL CLASSICAL CLASSICAL

axisobj        43.910    43.918    43.903
ecceobj         0.063     0.063     0.063
incobj          8.430     8.430     8.430
qmin           38.938    39.253    38.612
qmax           48.918    48.508    49.142
amean          43.716    43.726    43.698
amin           43.317    43.324    43.311
amax           44.164    44.162    44.156
emean           0.074     0.069     0.082
emin            0.048     0.046     0.051
emax            0.108     0.099     0.115
imean           7.605     7.659     7.649
imin            6.695     6.822     6.668
imax            8.411     8.411     8.472
excite_mean     0.152     0.150     0.157
fracstop        1.000     1.000     1.000
cjmean          3.070     3.071     3.068

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       180.9     181.1     184.4
kozaiamp        179.9     179.9     180.0