Orbit Fit and Astrometric record for 13VN46

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: 13VN46    
# Created Sat Dec  4 02:12:19 2021
# Orbit generated from Bernstein formalism
# Fitting     40 observations of     40
# Arc:   4.07y
# First observation: 2013/10/03
#  Last observation: 2017/10/30
Preliminary a, adot, b, bdot, g, gdot:
   0.000054   0.041773   0.000006   0.000017   0.033435   0.000000
# Chi-squared of fit:    11.47 DOF:     74 RMS:  0.09
# Min/Max residuals:    -0.19    0.31
# Exact a, adot, b, bdot, g, gdot:
  2.071054E-05  4.221955E-02 -2.830884E-07  3.003118E-05  3.374897E-02  4.223508E-03
# Covariance matrix:
  2.0058E-13 -1.0264E-13 -5.0061E-16 -3.4480E-16  1.1306E-13 -3.2879E-13
 -1.0264E-13  2.0620E-13 -4.8327E-16  2.6177E-16  1.0896E-13  1.2201E-12
 -5.0061E-16 -4.8327E-16  1.1451E-13 -4.0798E-14 -1.8007E-15 -4.0020E-15
 -3.4480E-16  2.6177E-16 -4.0798E-14  2.1531E-14 -4.3381E-16  1.4156E-15
  1.1306E-13  1.0896E-13 -1.8007E-15 -4.3381E-16  4.0642E-13  9.0250E-13
 -3.2879E-13  1.2201E-12 -4.0020E-15  1.4156E-15  9.0250E-13  8.1588E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   -7.999871   23.044614    0.230085   -0.135434   -0.964412  2456568.639458
# Heliocentric elements and errors
Epoch:              2456560.5000  =  2013/09/25
Mean Anomaly:           16.24991 +/-     0.011
Argument of Peri:      242.50048 +/-     0.019
Long of Asc Node:      113.01742 +/-     0.001
Inclination:             7.74594 +/-     0.000
Eccentricity:         0.24203618 +/-    0.0001
Semi-Major Axis:     39.50316812 +/-    0.0038
Time of Perihelion: 2452466.9993 +/-       2.6
Perihelion:          29.94197228 +/-    0.0039
Aphelion:            49.06436395 +/-    0.0054
Period (y)              248.2882 +/-      0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           27.98623318 +/-    0.0005
Ecliptic Y           11.65843307 +/-    0.0002
Ecliptic Z           -4.12373684 +/-    0.0001
Ecliptic XDOT        -0.00103435 +/-    0.0000
Ecliptic YDOT         0.00328330 +/-    0.0000
Ecliptic ZDOT        -0.00004513 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   30.59662588 +/-    0.0005
Geocenter to KBO     29.63053157 +/-    0.0006
# Hcoef:  8.49

The following table shows the complete astrometric record for 13VN46. 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 (13VN46) followed by the observatory code and reference code for the source of the astrometry.

2013 10  03.13868  01 37 06.574  +01 31 08.08  24.3g 13VN46    W84  C~4yRU      
2013 11  04.06065  01 33 58.64   +01 13 14.5         13VN46    W84  C~3clY      
2013 11  04.12406  01 33 58.27   +01 13 12.8   23.2r 13VN46    W84  C~3clY      
2013 11  04.20651  01 33 57.79   +01 13 10.4         13VN46    W84  C~3clY      
2013 11  08.21815  01 33 35.386  +01 11 24.64  23.4r 13VN46    W84  C~4yRU      
2013 11  08.21815  01 33 35.39   +01 11 24.6   23.5r 13VN46    W84  C~3clY      
2013 11  08.22131  01 33 35.358  +01 11 24.75  22.4i 13VN46    W84  C~4yRU      
2013 11  08.22131  01 33 35.36   +01 11 24.7   22.5i 13VN46    W84  C~3clY      
2014 10  02.32718  01 46 10.784  +02 24 40.38  23.8g 13VN46    W84  C~4yRU      
2014 10  02.32856  01 46 10.766  +02 24 40.48  23.6r 13VN46    W84  C~4yRU      
2014 10  02.32856  01 46 10.77   +02 24 40.5   23.7r 13VN46    W84  C~3clY      
2014 10  21.27213  01 44 19.938  +02 13 26.44  23.1r 13VN46    W84  C~4yRU      
2014 10  21.27213  01 44 19.94   +02 13 26.4   23.3r 13VN46    W84  C~3clY      
2014 10  21.27352  01 44 19.931  +02 13 26.28  24.2g 13VN46    W84  C~4yRU      
2014 10  21.27489  01 44 19.918  +02 13 26.37  22.8i 13VN46    W84  C~4yRU      
2014 10  21.27489  01 44 19.92   +02 13 26.4   22.9i 13VN46    W84  C~3clY      
2014 10  28.22157  01 43 38.346  +02 09 41.05  23.3r 13VN46    W84  C~4yRU      
2014 10  28.22734  01 43 38.303  +02 09 41.30  23.3g 13VN46    W84  C~4yRU      
2015 11  06.17683  01 51 41.454  +02 57 43.60  22.7r 13VN46    W84  C~4yRU      
2015 11  06.17683  01 51 41.46   +02 57 43.5   23.2r 13VN46    W84  C~3clY      
2015 11  06.17819  01 51 41.459  +02 57 43.36  23.0i 13VN46    W84  C~4yRU      
2015 11  06.17819  01 51 41.46   +02 57 43.4   23.0i 13VN46    W84  C~3clY      
2015 11  06.17955  01 51 41.461  +02 57 43.40  24.3g 13VN46    W84  C~4yRU      
2015 12  18.11041  01 48 32.941  +02 47 23.32  23.1z 13VN46    W84  C~4yRU      
2015 12  18.11179  01 48 32.939  +02 47 23.26  23.2i 13VN46    W84  C~4yRU      
2016 09  09.29496  02 05 37.135  +04 20 45.40  23.3r 13VN46    W84  C~4yRU      
2016 09  09.29496  02 05 37.13   +04 20 45.4   23.4r 13VN46    W84  C~3clY      
2016 09  09.29635  02 05 37.131  +04 20 45.36  23.2i 13VN46    W84  C~4yRU      
2016 09  09.29635  02 05 37.13   +04 20 45.3   23.7i 13VN46    W84  C~3clY      
2016 10  23.20859  02 01 50.448  +03 55 55.29  23.1r 13VN46    W84  C~4yRU      
2016 10  28.23573  02 01 20.193  +03 53 15.86  23.1i 13VN46    W84  C~4yRU      
2016 10  28.23573  02 01 20.19   +03 53 15.9   23.3i 13VN46    W84  C~3clY      
2016 10  28.23711  02 01 20.189  +03 53 15.81  23.1g 13VN46    W84  C~4yRU      
2016 11  04.21137  02 00 38.545  +03 49 49.14  23.6r 13VN46    W84  C~4yRU      
2016 11  04.21137  02 00 38.54   +03 49 49.1   23.7r 13VN46    W84  C~3clY      
2017 09  18.30162  02 13 44.619  +05 06 11.45  23.4r 13VN46    W84  C~4yRU      
2017 09  18.30299  02 13 44.604  +05 06 11.31  23.3i 13VN46    W84  C~4yRU      
2017 09  18.30931  02 13 44.595  +05 06 11.10  24.4g 13VN46    W84  C~4yRU      
2017 10  22.22735  02 10 44.161  +04 47 15.15  23.2r 13VN46    W84  C~4yRU      
2017 10  30.24741  02 09 55.888  +04 43 04.21  22.7z 13VN46    W84  C~4yRU      

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    -0.19       0.00     0.06
     2   0.0874  -3015.79     0.06      33.41    -0.06
     3   0.0876  -3021.58     0.02      33.87     0.00
     4   0.0878  -3029.16    -0.07      34.27    -0.10
     5   0.0988  -3380.57     0.12      58.95    -0.18
     6   0.0988  -3380.61     0.08      59.01    -0.12
     7   0.0988  -3380.96     0.00      59.26     0.11
     8   0.0988  -3380.95     0.01      59.21     0.05
     9   0.9971   8773.19     0.06       7.45    -0.14
    10   0.9971   8772.97    -0.03       7.65     0.05
    11   0.9971   8773.04     0.03       7.64     0.05
    12   1.0490   6977.88     0.04     -13.56    -0.03
    13   1.0490   6977.86     0.03     -13.51     0.02
    14   1.0490   6977.71     0.01     -13.62    -0.09
    15   1.0490   6977.56    -0.01     -13.47     0.06
    16   1.0490   6977.60     0.03     -13.45     0.08
    17   1.0680   6314.50    -0.18       4.39    -0.13
    18   1.0680   6313.99    -0.14       4.86     0.31
    19   2.0918  14126.57    -0.02      48.87     0.14
    20   2.0918  14126.53    -0.06      49.00     0.27
    21   2.0918  14126.54     0.07      48.78     0.04
    22   2.0918  14126.51     0.05      48.75     0.01
    23   2.0918  14126.55     0.21      48.78     0.03
    24   2.2066  11259.57    -0.03     500.41     0.05
    25   2.2066  11259.52    -0.02     500.37    -0.01
    26   2.9354  27734.22    -0.05     163.34    -0.04
    27   2.9354  27734.29     0.02     163.31    -0.06
    28   2.9354  27734.18     0.01     163.24    -0.12
    29   2.9354  27734.22     0.04     163.30    -0.07
    30   3.0556  23975.42    -0.06      -4.15    -0.09
    31   3.0694  23489.28    -0.00      10.95    -0.10
    32   3.0694  23489.26    -0.03      11.00    -0.05
    33   3.0694  23489.21     0.06      10.92    -0.13
    34   3.0885  22825.05    -0.07      43.79     0.06
    35   3.0885  22825.14     0.02      43.80     0.07
    36   3.9594  35699.35     0.06      91.70     0.08
    37   3.9594  35699.08    -0.10      91.65     0.04
    38   3.9594  35698.87     0.16      91.50    -0.07
    39   4.0523  32694.05    -0.15      -4.92    -0.10
    40   4.0742  31911.73     0.00      20.02     0.13

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.

13VN46    quality flag:3

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

axisobj        39.751    39.763    39.739
ecceobj         0.247     0.248     0.247
incobj          7.747     7.747     7.747
qmin           29.153    29.171    29.152
qmax           50.268    50.390    50.268
amean          39.455    39.455    39.455
amin           38.983    38.964    38.972
amax           40.000    40.007    40.009
emean           0.237     0.238     0.237
emin            0.214     0.212     0.212
emax            0.260     0.261     0.260
imean           6.219     6.211     6.234
imin            4.867     4.859     4.884
imax            7.578     7.573     7.588
excite_mean     0.262     0.262     0.262
fracstop        1.000     1.000     1.000
cjmean          2.974     2.974     2.974

libcent 0       179.9     180.1     179.8
libamp  0        92.2      92.0      93.1
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       270.2     270.2     270.2
kozaiamp         41.3      41.2      41.1