Orbit Fit and Astrometric record for 13VZ70

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: 13VZ70    
# Created Tue Nov 30 02:12:21 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     43 observations of     43
# Arc:   6.49y
# First observation: 2013/08/09
#  Last observation: 2020/02/03
# Chi-squared of fit:    25.89 DOF:     80 RMS:  0.14
# Min/Max residuals:    -0.47    0.47
# Exact a, adot, b, bdot, g, gdot:
  3.253642E-05  2.435589E-01 -7.538520E-06 -5.162064E-02  1.168251E-01  2.879099E-03
# Covariance matrix:
  8.7373E-13 -8.8982E-11 -5.7563E-14  3.7162E-12 -1.0230E-11  3.3684E-11
 -8.8982E-11  7.8187E-08  4.3204E-11 -4.1578E-09  6.7439E-09 -3.3450E-08
 -5.7563E-14  4.3204E-11  7.7702E-13 -5.7969E-12  4.6686E-12 -1.8176E-11
  3.7162E-12 -4.1578E-09 -5.7969E-12  5.0951E-09 -2.7581E-10  2.1270E-09
 -1.0230E-11  6.7439E-09  4.6686E-12 -2.7581E-10  8.4715E-10 -2.5791E-09
  3.3684E-11 -3.3450E-08 -1.8176E-11  2.1270E-09 -2.5791E-09  1.6327E-08
#      lat0       lon0       xBary       yBary       zBary        JD0
    2.936111   28.094850    0.962010    0.016707   -0.325087  2456514.012218
# Heliocentric elements and errors
Epoch:              2456514.5000  =  2013/08/10
Mean Anomaly:          292.57715 +/-     0.000
Argument of Peri:      244.70437 +/-     0.003
Long of Asc Node:      215.24394 +/-     0.003
Inclination:            12.03453 +/-     0.000
Eccentricity:         0.09848790 +/-    0.0000
Semi-Major Axis:      9.20526460 +/-    0.0000
Time of Perihelion: 2458425.0457 +/-       0.0
Perihelion:           8.29865743 +/-    0.0000
Aphelion:            10.11187176 +/-    0.0000
Period (y)               27.9295 +/-      0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X            8.28125821 +/-    0.0000
Ecliptic Y            3.33318787 +/-    0.0000
Ecliptic Z            0.43842867 +/-    0.0000
Ecliptic XDOT        -0.00258015 +/-    0.0000
Ecliptic YDOT         0.00509538 +/-    0.0000
Ecliptic ZDOT        -0.00120457 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO    8.93767736 +/-    0.0000
Geocenter to KBO      8.55981983 +/-    0.0000
# Hcoef: 13.55

The following table shows the complete astrometric record for 13VZ70. 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 (13VZ70) followed by the observatory code and reference code for the source of the astrometry.

2013 08  09.51144  01 40 03.944  +13 32 13.77  23.4r 13VZ70    568  C~4yRX      
2013 08  09.55415  01 40 03.944  +13 32 13.38  23.6r 13VZ70    568  C~4yRX      
2013 09  02.42113  01 38 16.673  +13 17 05.21  23.3r 13VZ70    568  C~4yRX      
2013 09  02.46447  01 38 16.252  +13 17 02.41  23.3r 13VZ70    568  C~4yRX      
2013 09  03.44044  01 38 07.137  +13 15 55.00  23.3r 13VZ70    568  C~4yRX      
2013 09  03.48706  01 38 06.670  +13 15 51.73  23.5r 13VZ70    568  C~4yRX      
2013 10  09.45622  01 29 20.124  +12 11 43.56  22.8r 13VZ70    568  C~4yRX      
2013 10  29.45275  01 23 18.741  +11 25 00.98  23.4r 13VZ70    568  C~4yRX      
2013 10  30.36505  01 23 02.956  +11 22 52.60  22.3r 13VZ70    568  C~4yRX      
2013 10  31.35588  01 22 45.879  +11 20 33.64  22.6r 13VZ70    568  C~4yRX      
2013 11  01.30170  01 22 29.723  +11 18 21.23  23.1r 13VZ70    568  C~4yRX      
2013 11  01.34074  01 22 29.050  +11 18 15.71  23.3r 13VZ70    568  C~4yRX      
2013 11  01.42897  01 22 27.500  +11 18 03.49  23.4r 13VZ70    568  C~4yRX      
2013 11  27.38173  01 16 27.907  +10 24 02.05  23.4r 13VZ70    568  C~4yRX      
2013 12  04.36265  01 15 28.349  +10 12 49.50  23.4r 13VZ70    568  C~4yRX      
2014 10  23.50622  02 29 22.602  +13 56 10.74  23.2r 13VZ70    568  C~4yRX      
2014 10  23.53747  02 29 22.013  +13 56 06.71  22.9r 13VZ70    568  C~4yRX      
2015 10  09.41425  03 40 43.141  +15 34 55.20  22.7w 13VZ70    568  C~4yRX      
2015 10  09.45766  03 40 42.601  +15 34 51.17  22.7w 13VZ70    568  C~4yRX      
2015 12  07.46602  03 22 49.668  +13 53 09.06  22.5w 13VZ70    568  C~4yRX      
2015 12  16.29737  03 20 22.260  +13 41 21.31  22.9w 13VZ70    568  C~4yRY      
2015 12  17.28414  03 20 07.228  +13 40 10.27  23.0w 13VZ70    568  C~4yRY      
2015 12  17.35030  03 20 06.174  +13 40 05.55  23.8w 13VZ70    568  C~4yRY      
2015 12  17.35619  03 20 06.097  +13 40 05.10  23.0w 13VZ70    568  C~4yRY      
2015 12  17.35914  03 20 06.075  +13 40 04.95  23.0w 13VZ70    568  C~4yRY      
2015 12  17.36205  03 20 06.011  +13 40 04.74  23.1w 13VZ70    568  C~4yRY      
2015 12  17.36500  03 20 06.007  +13 40 04.12  23.7w 13VZ70    568  C~4yRY      
2015 12  17.36798  03 20 05.925  +13 40 04.08  23.3w 13VZ70    568  C~4yRY      
2015 12  31.31687  03 17 11.545  +13 26 42.62  22.8w 13VZ70    568  C~4yRY      
2016 01  07.28839  03 16 14.038  +13 22 30.87  22.7w 13VZ70    568  C~4yRY      
2016 03  11.23256  03 24 48.093  +13 57 52.42  23.4w 13VZ70    568  C~4yRY      
2016 03  11.23746  03 24 48.198  +13 57 52.89  23.4w 13VZ70    568  C~4yRY      
2016 03  11.25422  03 24 48.543  +13 57 54.20  23.3w 13VZ70    568  C~4yRY      
2016 03  12.23546  03 25 09.788  +13 59 13.67  22.9w 13VZ70    568  C~4yRY      
2016 03  12.23777  03 25 09.855  +13 59 13.78  23.1w 13VZ70    568  C~4yRY      
2016 03  12.25853  03 25 10.296  +13 59 15.41  23.2w 13VZ70    568  C~4yRY      
2018 01  19.339158 05 31 10.20   +12 43 33.9         13VZ70    568  C~55OH      
2018 01  19.340335 05 31 10.18   +12 43 33.9         13VZ70    568  C~55OH      
2018 01  19.341519 05 31 10.17   +12 43 34.0         13VZ70    568  C~55OH      
2018 01  19.342693 05 31 10.15   +12 43 34.0         13VZ70    568  C~55OH      
2018 01  19.343869 05 31 10.13   +12 43 34.0         13VZ70    568  C~55OH      
2020 02  03.243507 07 48 09.13   +07 21 25.4         13VZ70    W84  C~55OH      
2020 02  03.244213 07 48 09.11   +07 21 25.4         13VZ70    W84  C~55OH      

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     0.04       0.00     0.14
     2   0.0001      0.00     0.04       0.00     0.06
     3   0.0655      0.00     0.17       0.00    -0.02
     4   0.0656      0.00     0.03       0.00     0.08
     5   0.0683      0.00     0.04       0.00     0.01
     6   0.0684      0.00    -0.03       0.00    -0.02
     7   0.1669      0.00     0.07       0.00    -0.01
     8   0.2216      0.00    -0.34       0.00    -0.06
     9   0.2241      0.00     0.09       0.00    -0.04
    10   0.2268      0.00     0.13       0.00     0.07
    11   0.2294      0.00    -0.04       0.00    -0.02
    12   0.2295      0.00     0.08       0.00    -0.11
    13   0.2298      0.00    -0.08       0.00    -0.01
    14   0.3008      0.00    -0.10       0.00    -0.01
    15   0.3199      0.00    -0.03       0.00    -0.02
    16   1.2046      0.00    -0.08       0.00     0.10
    17   1.2047      0.00     0.11       0.00     0.07
    18   2.1654      0.00    -0.02       0.00     0.02
    19   2.1655      0.00     0.01       0.00     0.01
    20   2.3270      0.00    -0.25       0.00     0.14
    21   2.3512      0.00    -0.01       0.00     0.06
    22   2.3539      0.00    -0.04       0.00    -0.05
    23   2.3541      0.00    -0.45       0.00    -0.09
    24   2.3541      0.00    -0.23       0.00    -0.12
    25   2.3541      0.00     0.12       0.00    -0.06
    26   2.3541      0.00    -0.16       0.00    -0.06
    27   2.3542      0.00     0.47       0.00    -0.47
    28   2.3542      0.00    -0.07       0.00    -0.30
    29   2.3923      0.00     0.09       0.00     0.08
    30   2.4114      0.00    -0.09       0.00     0.10
    31   2.5865      0.00     0.08       0.00     0.15
    32   2.5865      0.00     0.10       0.00     0.23
    33   2.5866      0.00    -0.06       0.00     0.21
    34   2.5893      0.00     0.04       0.00     0.12
    35   2.5893      0.00     0.30       0.00     0.04
    36   2.5893      0.00     0.20       0.00     0.01
    37   4.4458      0.00    -0.02       0.00    -0.05
    38   4.4458      0.00    -0.04       0.00    -0.07
    39   4.4458      0.00     0.08       0.00     0.01
    40   4.4458      0.00     0.06       0.00    -0.00
    41   4.4458      0.00     0.03       0.00    -0.02
    42   6.4852      0.00     0.05       0.00     0.09
    43   6.4852      0.00    -0.04       0.00     0.03

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.

13VZ70    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj         9.151     9.151     9.151
ecceobj         0.098     0.098     0.098
incobj         12.055    12.055    12.055
qmin            8.251     8.251     8.251
qmax           10.051    10.825    11.234
amean           9.142     9.441     9.641
amin            9.124     9.125     9.033
amax            9.151    10.079    10.083
emean           0.088     0.065     0.080
emin            0.074     0.017     0.014
emax            0.098     0.098     0.123
imean          12.492    12.763    12.745
imin           12.422    12.416    11.997
imax           12.623    13.392    13.886
excite_mean     0.234     0.232     0.236
fracstop        0.000     0.001     0.001
cjmean          4.364     4.285     4.229

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       305.1     248.8     212.7
kozaiamp         56.1     154.2     167.8