Orbit Fit and Astrometric record for 13VM46

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: 13VM46    
# Created Tue Dec  7 02:12:22 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     36 observations of     36
# Arc:   7.20y
# First observation: 2013/09/02
#  Last observation: 2020/11/14
# Chi-squared of fit:    12.71 DOF:     66 RMS:  0.11
# Min/Max residuals:    -0.22    0.40
# Exact a, adot, b, bdot, g, gdot:
  1.987363E-05  4.301689E-02 -4.747232E-06 -6.310170E-03  3.252130E-02 -5.152506E-04
# Covariance matrix:
  3.6431E-13 -1.0078E-13 -9.7992E-15  1.0177E-14  1.9109E-13 -2.6774E-13
 -1.0078E-13  6.5510E-14  7.7994E-15 -8.7435E-15 -2.0633E-14  2.3057E-13
 -9.7992E-15  7.7994E-15  1.2115E-13 -3.1631E-14 -2.5697E-15  3.3428E-14
  1.0177E-14 -8.7435E-15 -3.1631E-14  1.3005E-14  2.0102E-15 -3.7652E-14
  1.9109E-13 -2.0633E-14 -2.5697E-15  2.0102E-15  1.8477E-13 -5.2313E-14
 -2.6774E-13  2.3057E-13  3.3428E-14 -3.7652E-14 -5.2313E-14  9.9304E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
   -1.974413    8.820438    0.492351   -0.030301   -0.881439  2456537.776398
# Heliocentric elements and errors
Epoch:              2456538.5000  =  2013/09/03
Mean Anomaly:          358.03875 +/-     0.002
Argument of Peri:      198.45385 +/-     0.005
Long of Asc Node:      175.12194 +/-     0.000
Inclination:             8.59396 +/-     0.000
Eccentricity:         0.43316557 +/-    0.0001
Semi-Major Axis:     55.73128203 +/-    0.0067
Time of Perihelion: 2457366.4011 +/-      27.4
Perihelion:          31.59040930 +/-    0.0051
Aphelion:            79.87215477 +/-    0.0102
Period (y)              416.0608 +/-      0.08
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           31.31407405 +/-    0.0004
Ecliptic Y            4.36400535 +/-    0.0001
Ecliptic Z           -1.05955887 +/-    0.0000
Ecliptic XDOT        -0.00062242 +/-    0.0000
Ecliptic YDOT         0.00356806 +/-    0.0000
Ecliptic ZDOT        -0.00052928 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   31.63446900 +/-    0.0004
Geocenter to KBO     30.74911533 +/-    0.0004
# Hcoef:  8.48

The following table shows the complete astrometric record for 13VM46. 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 (13VM46) followed by the observatory code and reference code for the source of the astrometry.

2013 09  02.27562  00 35 31.302  +01 40 54.35  24.4g 13VM46    W84  C~4yRU      
2013 11  08.17535  00 29 51.522  +01 00 37.13  23.3r 13VM46    W84  C~4yRU      
2013 11  08.17535  00 29 51.52   +01 00 37.1   23.3r 13VM46    W84  C~3clY      
2013 11  08.17673  00 29 51.521  +01 00 37.05  23.1i 13VM46    W84  C~4yRU      
2013 11  08.17673  00 29 51.52   +01 00 37.0   23.2i 13VM46    W84  C~3clY      
2013 11  22.08391  00 29 04.225  +00 55 23.07  23.8g 13VM46    W84  C~4yRU      
2013 11  22.09533  00 29 04.192  +00 55 23.02  23.8r 13VM46    W84  C~4yRU      
2013 11  22.09533  00 29 04.19   +00 55 23.0   23.7r 13VM46    W84  C~3clY      
2013 11  22.09673  00 29 04.199  +00 55 23.04  22.9i 13VM46    W84  C~4yRU      
2013 11  22.09673  00 29 04.20   +00 55 23.0   23.2i 13VM46    W84  C~3clY      
2014 11  13.07078  00 39 09.222  +01 36 38.82  23.5r 13VM46    W84  C~4yRU      
2014 11  13.07078  00 39 09.22   +01 36 38.8   23.7r 13VM46    W84  C~3clY      
2016 09  01.36604  01 04 30.091  +03 34 39.66  23.2r 13VM46    W84  C~4yRU      
2016 09  01.36604  01 04 30.09   +03 34 39.6   23.4r 13VM46    W84  C~3clY      
2016 09  01.36741  01 04 30.096  +03 34 39.47  24.4g 13VM46    W84  C~4yRU      
2016 09  01.36741  01 04 30.09   +03 34 39.4   24.4g 13VM46    W84  C~3clY      
2016 11  05.16584  00 58 56.928  +02 55 37.44  23.5r 13VM46    W84  C~4yRU      
2016 11  05.16584  00 58 56.93   +02 55 37.5   23.6r 13VM46    W84  C~3clY      
2016 11  05.16722  00 58 56.918  +02 55 37.47  23.3i 13VM46    W84  C~4yRU      
2016 11  05.16722  00 58 56.92   +02 55 37.5   23.4i 13VM46    W84  C~3clY      
2016 11  05.16861  00 58 56.911  +02 55 37.42  23.6g 13VM46    W84  C~4yRU      
2016 11  05.16861  00 58 56.92   +02 55 37.4   24.1g 13VM46    W84  C~3clY      
2016 11  06.16691  00 58 52.191  +02 55 07.58  22.7z 13VM46    W84  C~4yRU      
2016 11  06.16691  00 58 52.19   +02 55 07.6   22.7z 13VM46    W84  C~3clY      
2016 11  06.16827  00 58 52.194  +02 55 07.36  23.7r 13VM46    W84  C~4yRU      
2016 11  06.16964  00 58 52.187  +02 55 07.40  23.2i 13VM46    W84  C~4yRU      
2016 11  06.17102  00 58 52.189  +02 55 07.45  24.4g 13VM46    W84  C~4yRU      
2016 11  18.09231  00 58 01.019  +02 49 50.34  23.4r 13VM46    W84  C~4yRU      
2016 11  18.09231  00 58 01.02   +02 49 50.3   23.4r 13VM46    W84  C~3clY      
2017 08  28.28950  01 14 23.901  +04 13 51.38  23.0r 13VM46    W84  C~4yRU      
2017 08  28.29088  01 14 23.893  +04 13 51.43  23.6i 13VM46    W84  C~4yRU      
2017 09  14.32092  01 13 13.721  +04 04 30.95  23.3z 13VM46    W84  C~4yRU      
2017 09  27.24045  01 12 08.476  +03 56 32.44  22.7z 13VM46    W84  C~4yRU      
2018 10  18.20313  01 19 55.432  +04 20 25.52  22.9z 13VM46    W84  C~4yRU      
2020 11  14.113040 01 36 47.684  +05 17 45.97  23.7G 13VM46    G37  C~4NlI      
2020 11  14.169960 01 36 47.425  +05 17 44.43        13VM46    G37  C~4NlI      

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     0.40
     2   0.1832      0.00     0.02       0.00     0.04
     3   0.1832      0.00    -0.01       0.00     0.01
     4   0.1832      0.00     0.08       0.00    -0.06
     5   0.1832      0.00     0.09       0.00    -0.01
     6   0.2212      0.00    -0.11       0.00    -0.22
     7   0.2213      0.00    -0.12       0.00    -0.07
     8   0.2213      0.00    -0.15       0.00    -0.09
     9   0.2213      0.00     0.06       0.00    -0.06
    10   0.2213      0.00     0.05       0.00    -0.02
    11   1.1959      0.00     0.03       0.00    -0.01
    12   1.1959      0.00     0.06       0.00     0.01
    13   2.9982      0.00    -0.09       0.00     0.01
    14   2.9982      0.00    -0.08       0.00     0.07
    15   2.9982      0.00     0.08       0.00    -0.07
    16   2.9982      0.00    -0.01       0.00    -0.14
    17   3.1756      0.00    -0.04       0.00     0.02
    18   3.1756      0.00    -0.07       0.00    -0.04
    19   3.1756      0.00    -0.09       0.00     0.06
    20   3.1756      0.00    -0.12       0.00     0.03
    21   3.1756      0.00     0.01       0.00     0.01
    22   3.1756      0.00    -0.12       0.00     0.03
    23   3.1783      0.00    -0.03       0.00     0.14
    24   3.1783      0.00    -0.02       0.00     0.12
    25   3.1784      0.00     0.13       0.00    -0.06
    26   3.1784      0.00     0.12       0.00     0.02
    27   3.1784      0.00     0.25       0.00     0.11
    28   3.2110      0.00     0.14       0.00    -0.12
    29   3.2110      0.00     0.13       0.00    -0.08
    30   3.9863      0.00     0.03       0.00    -0.11
    31   3.9864      0.00    -0.01       0.00    -0.02
    32   4.0330      0.00    -0.02       0.00     0.05
    33   4.0684      0.00     0.03       0.00     0.08
    34   5.1251      0.00    -0.22       0.00     0.13
    35   7.2001      0.00    -0.12       0.00    -0.06
    36   7.2003      0.00     0.24       0.00    -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.

13VM46    quality flag:3

Type:         5:2EEE    5:2EEE    5:2EEE

axisobj        56.209    56.208    56.209
ecceobj         0.438     0.438     0.438
incobj          8.574     8.574     8.574
qmin           31.124    31.122    31.113
qmax           81.630    81.413    81.392
amean          55.463    55.463    55.463
amin           54.591    54.595    54.586
amax           56.621    56.555    56.547
emean           0.428     0.428     0.428
emin            0.416     0.416     0.417
emax            0.442     0.440     0.440
imean           8.399     8.399     8.400
imin            8.075     8.075     8.075
imax            8.774     8.776     8.774
excite_mean     0.452     0.452     0.452
fracstop        1.000     1.000     1.000
cjmean          2.969     2.969     2.969

libcent 0       179.0     180.1     180.0
libamp  0       128.6     128.0     127.4
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       193.0     193.1     191.7
kozaiamp        179.9     180.0     180.0