Orbit Fit and Astrometric record for 13SZ99

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: 13SZ99    
# Created Wed Dec  8 02:11:59 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     44 observations of     44
# Arc:   6.22y
# First observation: 2013/08/05
#  Last observation: 2019/10/26
# Chi-squared of fit:    29.16 DOF:     82 RMS:  0.14
# Min/Max residuals:    -0.55    0.48
# Exact a, adot, b, bdot, g, gdot:
  1.480580E-05  2.474516E-02 -4.936948E-06 -8.792733E-03  2.616675E-02  8.923989E-04
# Covariance matrix:
  1.0735E-13 -1.9483E-14 -7.5428E-16  4.7340E-15  7.1347E-14 -9.0423E-14
 -1.9483E-14  1.0633E-13  1.5286E-14 -3.9867E-14  4.6475E-14  8.2130E-13
 -7.5428E-16  1.5286E-14  5.0364E-14 -2.0282E-14  7.8760E-15  1.3484E-13
  4.7340E-15 -3.9867E-14 -2.0282E-14  3.0488E-14 -1.7070E-14 -3.5354E-13
  7.1347E-14  4.6475E-14  7.8760E-15 -1.7070E-14  1.1635E-13  3.6056E-13
 -9.0423E-14  8.2130E-13  1.3484E-13 -3.5354E-13  3.6056E-13  7.2786E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   -3.034741   12.729431    0.878320   -0.027043   -0.510593  2456509.986158
# Heliocentric elements and errors
Epoch:              2456510.5000  =  2013/08/06
Mean Anomaly:          134.67408 +/-     0.344
Argument of Peri:       53.01988 +/-     0.342
Long of Asc Node:      183.09765 +/-     0.000
Inclination:            19.83981 +/-     0.000
Eccentricity:         0.01443267 +/-    0.0001
Semi-Major Axis:     38.34436267 +/-    0.0018
Time of Perihelion: 2424066.6628 +/-      82.8
Perihelion:          37.79095129 +/-    0.0031
Aphelion:            38.89777404 +/-    0.0031
Period (y)              237.4436 +/-      0.02
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           37.91693522 +/-    0.0005
Ecliptic Y            7.66806949 +/-    0.0001
Ecliptic Z           -2.02337750 +/-    0.0000
Ecliptic XDOT        -0.00053329 +/-    0.0000
Ecliptic YDOT         0.00253444 +/-    0.0000
Ecliptic ZDOT        -0.00092350 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   38.73740887 +/-    0.0005
Geocenter to KBO     38.21644479 +/-    0.0005
# Hcoef:  7.85

The following table shows the complete astrometric record for 13SZ99. 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 (13SZ99) followed by the observatory code and reference code for the source of the astrometry.

2013 08  05.48538  00 51 34.015  +02 13 56.74  23.8r 13SZ99    568  C~2NKK      
2013 08  05.53383  00 51 33.928  +02 13 55.96  23.7r 13SZ99    568  C~2NKK      
2013 08  08.46429  00 51 28.320  +02 12 51.51  23.7r 13SZ99    568  C~2NKK      
2013 08  08.50311  00 51 28.252  +02 12 50.43  23.9r 13SZ99    568  C~2NKK      
2013 08  31.54913  00 50 21.179  +02 02 15.56  23.9r 13SZ99    568  C~2NKK      
2013 08  31.59296  00 50 21.021  +02 02 14.00  23.6r 13SZ99    568  C~2NKK      
2013 08  31.59772  00 50 21.020  +02 02 14.41  23.5r 13SZ99    568  C~2NKK      
2013 08  31.60285  00 50 20.962  +02 02 14.09  23.7r 13SZ99    568  C~2NKK      
2013 08  31.60762  00 50 20.977  +02 02 13.89  23.8r 13SZ99    568  C~2NKK      
2013 08  31.61256  00 50 20.975  +02 02 13.64  23.7r 13SZ99    568  C~2NKK      
2013 09  01.43491  00 50 17.923  +02 01 47.38  23.7r 13SZ99    568  C~2NKK      
2013 09  01.47388  00 50 17.779  +02 01 46.11  23.7r 13SZ99    568  C~2NKK      
2013 09  05.41441  00 50 02.613  +01 59 37.80  23.5r 13SZ99    568  C~2NKK      
2013 09  05.45322  00 50 02.455  +01 59 36.41  24.0r 13SZ99    568  C~2NKK      
2013 09  29.34540  00 48 16.753  +01 45 38.92  23.1r 13SZ99    568  C~2Gdp      
2013 09  29.38422  00 48 16.579  +01 45 37.50  23.4r 13SZ99    568  C~2Gdp      
2013 09  29.42805  00 48 16.353  +01 45 35.98  23.7r 13SZ99    568  C~2Gdp      
2013 10  02.41909  00 48 02.158  +01 43 48.56  23.6r 13SZ99    568  C~2NKK      
2013 10  04.51065  00 47 52.163  +01 42 33.63  23.7r 13SZ99    568  C~2NKK      
2013 10  09.47694  00 47 28.433  +01 39 37.37  23.8r 13SZ99    568  C~2NKK      
2013 11  08.18263  00 45 17.408  +01 24 00.98  24.0r 13SZ99    W84  C~4yR0      
2013 11  08.18400  00 45 17.411  +01 24 00.91  23.7i 13SZ99    W84  C~4yR0      
2013 11  22.10101  00 44 30.767  +01 18 41.76  23.8r 13SZ99    W84  C~4yR0      
2013 11  22.10256  00 44 30.777  +01 18 41.79  23.7i 13SZ99    W84  C~4yR0      
2013 11  27.27126  00 44 17.029  +01 17 09.34  23.9r 13SZ99    568  C~2Gdp      
2013 11  27.31577  00 44 16.912  +01 17 08.61  24.1r 13SZ99    568  C~2NKK      
2013 12  05.23284  00 44 00.196  +01 15 17.82  24.0r 13SZ99    568  C~2NKK      
2014 08  24.49378  00 56 49.283  +02 11 08.83  23.7r 13SZ99    568  C~2NKK      
2014 08  28.46592  00 56 36.350  +02 09 10.11  23.6r 13SZ99    568  C~2NKK      
2014 10  23.31499  00 52 29.562  +01 37 11.86  23.4r 13SZ99    568  C~2NKK      
2014 10  27.28165  00 52 11.666  +01 35 06.01  23.6r 13SZ99    568  C~2NKK      
2014 10  29.21190  00 52 03.129  +01 34 06.84  23.6i 13SZ99    W84  C~4yR0      
2014 11  24.25948  00 50 26.924  +01 23 19.07  23.8r 13SZ99    568  C~2NKK      
2014 11  25.28578  00 50 24.024  +01 23 00.73  23.7r 13SZ99    568  C~2NKK      
2014 12  17.33123  00 49 43.859  +01 18 55.16  23.6r 13SZ99    568  C~2NKK      
2015 01  18.25083  00 50 07.984  +01 22 03.48  23.9r 13SZ99    568  C~2NKK      
2015 10  17.16686  00 59 03.656  +01 45 52.18  23.7r 13SZ99    W84  C~4yR0      
2016 08  16.39263  01 09 12.696  +02 24 35.48  23.3i 13SZ99    W84  C~4yR0      
2016 08  30.35544  01 08 33.000  +02 17 56.63  23.0r 13SZ99    W84  C~4yR0      
2016 10  29.19036  01 04 08.140  +01 44 02.89  23.8r 13SZ99    W84  C~4yR0      
2018 09  14.34976  01 19 43.997  +02 19 41.83  23.3r 13SZ99    W84  C~4yR0      
2018 09  14.35112  01 19 43.978  +02 19 42.34  22.8i 13SZ99    W84  C~4yR0      
2019 10  26.143490 01 22 35.934  +02 00 40.18  23.6G 13SZ99    G37  C~3clF      
2019 10  26.211770 01 22 35.611  +02 00 37.59        13SZ99    G37  C~3clF      

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     0.06       0.00    -0.06
     2   0.0001      0.00     0.11       0.00     0.19
     3   0.0082      0.00    -0.01       0.00    -0.01
     4   0.0083      0.00     0.20       0.00    -0.21
     5   0.0714      0.00    -0.33       0.00    -0.05
     6   0.0715      0.00    -0.22       0.00    -0.22
     7   0.0715      0.00     0.03       0.00     0.34
     8   0.0715      0.00    -0.55       0.00     0.18
     9   0.0715      0.00    -0.05       0.00     0.14
    10   0.0715      0.00     0.20       0.00     0.04
    11   0.0738      0.00     0.01       0.00     0.02
    12   0.0739      0.00     0.08       0.00    -0.00
    13   0.0847      0.00     0.12       0.00     0.07
    14   0.0848      0.00     0.10       0.00    -0.03
    15   0.1502      0.00    -0.14       0.00    -0.00
    16   0.1503      0.00     0.06       0.00    -0.03
    17   0.1504      0.00    -0.16       0.00     0.03
    18   0.1586      0.00     0.15       0.00     0.04
    19   0.1643      0.00     0.07       0.00    -0.02
    20   0.1779      0.00    -0.11       0.00    -0.06
    21   0.2593      0.00     0.00       0.00    -0.01
    22   0.2593      0.00     0.13       0.00    -0.04
    23   0.2974      0.00    -0.06       0.00    -0.11
    24   0.2974      0.00     0.16       0.00    -0.05
    25   0.3115      0.00     0.08       0.00     0.02
    26   0.3117      0.00     0.02       0.00     0.02
    27   0.3333      0.00     0.03       0.00     0.02
    28   1.0514      0.00     0.01       0.00    -0.04
    29   1.0622      0.00     0.07       0.00    -0.00
    30   1.2151      0.00    -0.08       0.00     0.04
    31   1.2260      0.00    -0.01       0.00    -0.01
    32   1.2313      0.00    -0.09       0.00    -0.00
    33   1.3026      0.00     0.22       0.00    -0.09
    34   1.3054      0.00    -0.06       0.00     0.10
    35   1.3658      0.00     0.07       0.00    -0.09
    36   1.4532      0.00    -0.07       0.00     0.05
    37   2.1976      0.00    -0.00       0.00    -0.02
    38   3.0305      0.00     0.19       0.00    -0.17
    39   3.0688      0.00     0.21       0.00    -0.24
    40   3.2326      0.00    -0.25       0.00     0.00
    41   5.1085      0.00    -0.01       0.00    -0.07
    42   5.1085      0.00    -0.21       0.00     0.48
    43   6.2222      0.00     0.02       0.00     0.17
    44   6.2224      0.00     0.10       0.00    -0.27

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.

13SZ99    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        38.515    38.515    38.515
ecceobj         0.014     0.014     0.014
incobj         19.784    19.784    19.784
qmin           37.194    37.166    37.168
qmax           39.597    39.644    39.687
amean          38.335    38.333    38.329
amin           38.055    38.054    38.050
amax           38.616    38.616    38.619
emean           0.013     0.013     0.014
emin            0.001     0.001     0.001
emax            0.026     0.027     0.029
imean          20.407    20.407    20.414
imin           19.386    19.386    19.386
imax           21.793    21.789    21.798
excite_mean     0.349     0.349     0.349
fracstop        1.000     1.000     1.000
cjmean          2.902     2.902     2.902

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       182.2     182.7     181.6
kozaiamp        180.0     180.0     180.0