Orbit Fit and Astrometric record for 13VF72

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: 13VF72    
# Created Fri Dec  3 02:12:17 2021
# Orbit generated from Bernstein formalism
# Fitting     16 observations of     16
# Arc:   4.19y
# First observation: 2013/10/27
#  Last observation: 2018/01/05
Preliminary a, adot, b, bdot, g, gdot:
   0.000057   0.020337  -0.000026  -0.009383   0.024335   0.000000
# Chi-squared of fit:     3.48 DOF:     26 RMS:  0.08
# Min/Max residuals:    -0.21    0.20
# Exact a, adot, b, bdot, g, gdot:
  1.406538E-05  2.052507E-02 -6.789563E-06 -9.464626E-03  2.427841E-02  1.558445E-03
# Covariance matrix:
  2.5393E-13 -1.9384E-13 -1.9716E-14  5.7396E-14 -3.0102E-14 -1.6196E-12
 -1.9384E-13  5.0964E-13  7.5100E-14 -2.2146E-13  2.1560E-13  6.2142E-12
 -1.9716E-14  7.5100E-14  2.3189E-13 -1.0573E-13  3.4050E-14  9.9136E-13
  5.7396E-14 -2.2146E-13 -1.0573E-13  1.4344E-13 -1.1236E-13 -2.9280E-12
 -3.0102E-14  2.1560E-13  3.4050E-14 -1.1236E-13  5.2214E-13  3.0068E-12
 -1.6196E-12  6.2142E-12  9.9136E-13 -2.9280E-12  3.0068E-12  8.2103E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
  -10.339910   29.261360   -0.074061   -0.177622   -0.974211  2456592.634708
# Heliocentric elements and errors
Epoch:              2456590.5000  =  2013/10/25
Mean Anomaly:          132.36735 +/-     0.187
Argument of Peri:       63.20683 +/-     0.182
Long of Asc Node:      188.55089 +/-     0.000
Inclination:            26.61817 +/-     0.000
Eccentricity:         0.09544706 +/-    0.0002
Semi-Major Axis:     39.44823768 +/-    0.0044
Time of Perihelion: 2423315.4879 +/-      46.8
Perihelion:          35.68301922 +/-    0.0098
Aphelion:            43.21345614 +/-    0.0102
Period (y)              247.7705 +/-      0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           36.17638504 +/-    0.0011
Ecliptic Y           20.35746260 +/-    0.0006
Ecliptic Z           -7.39319964 +/-    0.0002
Ecliptic XDOT        -0.00115382 +/-    0.0000
Ecliptic YDOT         0.00200853 +/-    0.0000
Ecliptic ZDOT        -0.00108139 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   42.16416155 +/-    0.0009
Geocenter to KBO     41.18886387 +/-    0.0012
# Hcoef:  7.10

The following table shows the complete astrometric record for 13VF72. 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 (13VF72) followed by the observatory code and reference code for the source of the astrometry.

2013 10  27.13393  02 03 23.395  +01 31 26.69  24.6g 13VF72    W84  C~55OI      
2013 11  04.08506  02 02 47.16   +01 27 41.2         13VF72    W84  C~55OI      
2013 11  04.14806  02 02 46.87   +01 27 39.4   23.6r 13VF72    W84  C~55OI      
2013 11  04.23028  02 02 46.49   +01 27 37.3         13VF72    W84  C~55OI      
2013 11  23.19533  02 01 25.618  +01 20 22.00  23.1i 13VF72    W84  C~55OI      
2014 10  03.28311  02 10 19.292  +01 38 16.59  23.2r 13VF72    W84  C~55OI      
2014 10  21.29169  02 09 00.810  +01 28 27.47  22.9r 13VF72    W84  C~55OI      
2014 11  27.13249  02 06 19.784  +01 13 16.39  23.0r 13VF72    W84  C~55OI      
2015 12  05.07522  02 10 58.539  +01 05 21.21  23.5r 13VF72    W84  C~55OI      
2016 09  09.40296  02 21 51.495  +01 38 55.85  23.1i 13VF72    W84  C~55OI      
2016 09  10.35756  02 21 48.993  +01 38 25.05  23.0r 13VF72    W84  C~55OI      
2016 09  10.35894  02 21 48.986  +01 38 24.94  23.8g 13VF72    W84  C~55OI      
2016 10  27.25618  02 18 46.437  +01 12 53.21  23.3r 13VF72    W84  C~55OI      
2017 10  13.24804  02 24 56.311  +01 14 02.96  23.6r 13VF72    W84  C~55OI      
2017 11  16.18502  02 22 22.778  +00 58 16.98  22.8r 13VF72    W84  C~55OI      
2018 01  05.06676  02 19 48.410  +00 51 36.48  23.8g 13VF72    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    -0.14       0.00     0.13
     2   0.0218   -587.83     0.04     -22.83    -0.07
     3   0.0219   -592.53    -0.00     -23.01    -0.16
     4   0.0222   -598.61     0.00     -23.00    -0.04
     5   0.0741  -1887.07    -0.00     -10.06     0.06
     6   0.9340   5993.13    -0.04   -1778.48     0.07
     7   0.9833   4684.20     0.02   -1923.32    -0.03
     8   1.0842   2102.53     0.20   -1940.51     0.06
     9   2.1052   5861.25    -0.07   -3836.65    -0.03
    10   2.8700  15777.83    -0.02   -5340.83     0.03
    11   2.8726  15731.73     0.07   -5356.80     0.02
    12   2.8726  15731.59    -0.00   -5356.87    -0.02
    13   3.0010  12618.27    -0.00   -5847.62     0.05
    14   3.9620  17881.94    -0.05   -7711.17    -0.00
    15   4.0549  15376.55     0.07   -7800.71    -0.21
    16   4.1915  13052.47    -0.07   -7371.87     0.14

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.

13VF72    quality flag:3

Type:           3:2E      3:2E      3:2E

axisobj        39.625    39.639    39.611
ecceobj         0.094     0.095     0.094
incobj         26.534    26.534    26.534
qmin           33.082    33.069    33.288
qmax           46.111    46.139    46.077
amean          39.456    39.456    39.456
amin           39.091    39.092    39.090
amax           39.853    39.837    39.853
emean           0.118     0.119     0.117
emin            0.080     0.080     0.082
emax            0.159     0.161     0.157
imean          26.371    26.352    26.397
imin           25.793    25.746    25.840
imax           26.902    26.897    26.907
excite_mean     0.460     0.460     0.460
fracstop        1.000     1.000     1.000
cjmean          2.800     2.800     2.800

libcent 0       180.3     180.2     179.9
libamp  0        72.3      68.6      76.3
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       180.0     180.3     179.3
kozaiamp        180.0     179.9     180.0