Orbit Fit and Astrometric record for 13VA72

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: 13VA72    
# Created Fri Dec  3 02:12:17 2021
# Orbit generated from Bernstein formalism
# Fitting     18 observations of     18
# Arc:   4.18y
# First observation: 2013/10/03
#  Last observation: 2017/12/08
Preliminary a, adot, b, bdot, g, gdot:
   0.000367   0.029117  -0.000000  -0.005366   0.028239   0.000000
# Chi-squared of fit:     5.01 DOF:     30 RMS:  0.09
# Min/Max residuals:    -0.17    0.25
# Exact a, adot, b, bdot, g, gdot:
  1.671736E-05  2.918369E-02 -3.019264E-06 -5.378205E-03  2.749667E-02  1.521652E-03
# Covariance matrix:
  6.4889E-13  1.7585E-13  4.4257E-15 -4.2712E-14  9.9610E-13  1.7706E-12
  1.7585E-13  6.4469E-13  2.7683E-14 -1.2496E-13  8.6030E-13  5.6011E-12
  4.4257E-15  2.7683E-14  2.2446E-13 -6.6533E-14  2.6235E-14  2.5758E-13
 -4.2712E-14 -1.2496E-13 -6.6533E-14  5.1561E-14 -1.6365E-13 -1.1374E-12
  9.9610E-13  8.6030E-13  2.6235E-14 -1.6365E-13  2.5233E-12  7.0492E-12
  1.7706E-12  5.6011E-12  2.5758E-13 -1.1374E-12  7.0492E-12  5.1141E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
  -11.088839   24.717114    0.255809   -0.185944   -0.949341  2456568.793368
# Heliocentric elements and errors
Epoch:              2456560.5000  =  2013/09/25
Mean Anomaly:           19.11854 +/-     0.105
Argument of Peri:      202.17939 +/-     0.136
Long of Asc Node:      159.11624 +/-     0.001
Inclination:            15.05016 +/-     0.000
Eccentricity:         0.11272323 +/-    0.0001
Semi-Major Axis:     41.69134262 +/-    0.0090
Time of Perihelion: 2451338.7096 +/-      28.6
Perihelion:          36.99175983 +/-    0.0101
Aphelion:            46.39092541 +/-    0.0118
Period (y)              269.2012 +/-      0.09
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           33.40435308 +/-    0.0019
Ecliptic Y           15.09807795 +/-    0.0008
Ecliptic Z           -6.99483800 +/-    0.0004
Ecliptic XDOT        -0.00117970 +/-    0.0000
Ecliptic YDOT         0.00265735 +/-    0.0000
Ecliptic ZDOT        -0.00055451 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   37.31930494 +/-    0.0017
Geocenter to KBO     36.36804579 +/-    0.0021
# Hcoef:  7.78

The following table shows the complete astrometric record for 13VA72. 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 (13VA72) followed by the observatory code and reference code for the source of the astrometry.

2013 10  03.29259  01 47 44.974  -00 45 30.91  23.8g 13VA72    W84  C~55OI      
2013 11  04.06585  01 45 08.54   -01 02 01.5   23.6r 13VA72    W84  C~55OI      
2013 11  04.12882  01 45 08.22   -01 02 03.1         13VA72    W84  C~55OI      
2013 11  04.21126  01 45 07.82   -01 02 05.2         13VA72    W84  C~55OI      
2013 11  08.23320  01 44 48.591  -01 03 42.18  23.8r 13VA72    W84  C~55OI      
2013 11  08.23457  01 44 48.573  -01 03 41.91  23.0i 13VA72    W84  C~55OI      
2014 10  23.27793  01 52 48.869  -00 37 27.16  23.1i 13VA72    W84  C~55OI      
2015 11  20.13336  01 57 14.500  -00 29 45.80  22.9i 13VA72    W84  C~55OI      
2016 11  28.12027  02 03 13.687  -00 13 08.54  23.5i 13VA72    W84  C~55OI      
2016 11  28.12449  02 03 13.654  -00 13 08.68  23.3r 13VA72    W84  C~55OI      
2016 11  28.12586  02 03 13.665  -00 13 08.59  24.1g 13VA72    W84  C~55OI      
2017 10  29.26346  02 12 10.842  +00 16 01.92  24.2g 13VA72    W84  C~55OI      
2017 10  29.26484  02 12 10.835  +00 16 01.90  23.6r 13VA72    W84  C~55OI      
2017 10  29.26622  02 12 10.825  +00 16 01.75  22.8i 13VA72    W84  C~55OI      
2017 10  30.21811  02 12 06.027  +00 15 35.08  22.8z 13VA72    W84  C~55OI      
2017 11  16.16821  02 10 42.444  +00 08 49.69  23.3i 13VA72    W84  C~55OI      
2017 11  16.16958  02 10 42.426  +00 08 49.61  24.5g 13VA72    W84  C~55OI      
2017 12  08.15224  02 09 10.680  +00 04 01.32  23.5r 13VA72    W84  C~55OI      

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     0.01       0.00    -0.02
     2   0.0870  -2545.76     0.10     -76.02    -0.08
     3   0.0872  -2550.82    -0.05     -75.78    -0.04
     4   0.0874  -2557.17     0.03     -75.57    -0.10
     5   0.0984  -2861.17    -0.01     -61.85    -0.09
     6   0.0984  -2861.32    -0.06     -61.50     0.25
     7   1.0540   4425.45    -0.07   -1196.88    -0.02
     8   2.1296   8310.92    -0.03   -2208.97     0.03
     9   3.1535  13710.86     0.14   -3232.45     0.11
    10   3.1535  13710.34    -0.11   -3232.40     0.12
    11   3.1535  13710.53     0.16   -3232.37     0.12
    12   4.0711  21919.85    -0.01   -4528.37     0.01
    13   4.0711  21919.74     0.00   -4528.35     0.03
    14   4.0711  21919.55    -0.08   -4528.44    -0.06
    15   4.0737  21841.92     0.02   -4527.17    -0.17
    16   4.1201  20512.18     0.15   -4449.54    -0.01
    17   4.1201  20511.90    -0.03   -4449.52     0.00
    18   4.1803  19111.32    -0.16   -4217.70    -0.08

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.

13VA72    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        41.929    41.956    41.902
ecceobj         0.118     0.119     0.118
incobj         15.016    15.016    15.016
qmin           36.495    35.561    36.407
qmax           46.935    47.870    47.122
amean          41.615    41.616    41.618
amin           41.267    41.229    41.279
amax           41.983    42.018    41.988
emean           0.103     0.122     0.111
emin            0.084     0.101     0.098
emax            0.119     0.141     0.122
imean          14.900    14.724    14.772
imin           13.882    13.527    13.796
imax           15.792    15.810    15.721
excite_mean     0.277     0.282     0.278
fracstop        1.000     1.000     1.000
cjmean          2.983     2.980     2.983

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       180.4     180.8     183.8
kozaiamp        180.0     179.9     180.0