Orbit Fit and Astrometric record for 13VK46

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: 13VK46    
# Created Tue Dec  7 02:12:22 2021
# Orbit generated from Bernstein formalism
# Fitting     32 observations of     32
# Arc:   3.93y
# First observation: 2013/10/13
#  Last observation: 2017/09/18
Preliminary a, adot, b, bdot, g, gdot:
   0.000459   0.040875  -0.000059  -0.007786   0.033563   0.000000
# Chi-squared of fit:     7.17 DOF:     58 RMS:  0.08
# Min/Max residuals:    -0.16    0.25
# Exact a, adot, b, bdot, g, gdot:
  2.020229E-05  4.185729E-02 -3.391826E-06 -7.937981E-03  3.372494E-02  6.437138E-03
# Covariance matrix:
  2.5467E-13 -2.6259E-13 -2.0368E-14  3.3343E-14  7.6941E-14 -1.0483E-12
 -2.6259E-13  4.0782E-13  3.5384E-14 -6.3101E-14  9.2260E-15  1.9949E-12
 -2.0368E-14  3.5384E-14  1.1546E-13 -4.8931E-14  1.4265E-15  1.8675E-13
  3.3343E-14 -6.3101E-14 -4.8931E-14  3.9512E-14 -1.8400E-14 -3.5346E-13
  7.6941E-14  9.2260E-15  1.4265E-15 -1.8400E-14  4.3803E-13  6.1240E-13
 -1.0483E-12  1.9949E-12  1.8675E-13 -3.5346E-13  6.1240E-13  1.1214E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   -8.631762    6.544219   -0.227299   -0.145630   -0.960163  2456578.730318
# Heliocentric elements and errors
Epoch:              2456570.5000  =  2013/10/05
Mean Anomaly:           20.76899 +/-     0.008
Argument of Peri:      178.87344 +/-     0.015
Long of Asc Node:      149.51822 +/-     0.001
Inclination:            13.58131 +/-     0.000
Eccentricity:         0.30353758 +/-    0.0001
Semi-Major Axis:     41.63135061 +/-    0.0058
Time of Perihelion: 2450910.1666 +/-       1.7
Perihelion:          28.99467103 +/-    0.0058
Aphelion:            54.26803020 +/-    0.0086
Period (y)              268.6204 +/-      0.06
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           30.06310630 +/-    0.0006
Ecliptic Y            3.68064018 +/-    0.0001
Ecliptic Z           -4.45036215 +/-    0.0001
Ecliptic XDOT         0.00002376 +/-    0.0000
Ecliptic YDOT         0.00342232 +/-    0.0000
Ecliptic ZDOT        -0.00071541 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   30.61279464 +/-    0.0006
Geocenter to KBO     29.65164509 +/-    0.0006
# Hcoef:  8.45

The following table shows the complete astrometric record for 13VK46. 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 (13VK46) followed by the observatory code and reference code for the source of the astrometry.

2013 10  13.22954  00 37 42.451  -05 19 45.05  23.2i 13VK46    W84  C~4yRU      
2013 11  08.08168  00 35 29.537  -05 32 19.61  23.2r 13VK46    W84  C~4yRU      
2013 11  08.08168  00 35 29.54   -05 32 19.6   23.3r 13VK46    W84  C~3clY      
2013 11  08.08306  00 35 29.541  -05 32 19.74  22.9i 13VK46    W84  C~4yRU      
2013 11  08.08306  00 35 29.54   -05 32 19.8   23.0i 13VK46    W84  C~3clY      
2013 11  08.08443  00 35 29.522  -05 32 19.47  23.5z 13VK46    W84  C~4yRU      
2014 09  21.19136  00 49 19.50   -04 32 27.5   23.7V 13VK46    W84  C~3clY      
2014 09  21.27145  00 49 19.05   -04 32 31.0         13VK46    W84  C~3clY      
2014 09  21.31846  00 49 18.79   -04 32 32.9         13VK46    W84  C~3clY      
2014 10  02.30370  00 48 16.492  -04 40 22.10  22.7i 13VK46    W84  C~4yRU      
2014 10  02.30370  00 48 16.49   -04 40 22.1   23.0i 13VK46    W84  C~3clY      
2014 10  03.30184  00 48 10.736  -04 41 03.33  23.0r 13VK46    W84  C~4yRU      
2014 10  03.30184  00 48 10.74   -04 41 03.3   22.9r 13VK46    W84  C~3clY      
2014 10  03.30321  00 48 10.728  -04 41 03.29  22.8i 13VK46    W84  C~4yRU      
2014 10  03.30321  00 48 10.73   -04 41 03.3   22.9i 13VK46    W84  C~3clY      
2014 11  14.05768  00 44 31.587  -05 02 22.86  23.6r 13VK46    W84  C~4yRU      
2014 11  14.12975  00 44 31.292  -05 02 23.93  23.1i 13VK46    W84  C~4yRU      
2014 11  14.12975  00 44 31.29   -05 02 23.9   23.0i 13VK46    W84  C~3clY      
2014 11  15.12462  00 44 27.269  -05 02 40.25  23.5r 13VK46    W84  C~4yRU      
2014 11  15.12462  00 44 27.27   -05 02 40.2   23.6r 13VK46    W84  C~3clY      
2014 11  15.16379  00 44 27.108  -05 02 40.88  23.2i 13VK46    W84  C~4yRU      
2014 11  16.16255  00 44 23.165  -05 02 56.42  23.1r 13VK46    W84  C~4yRU      
2014 11  16.16255  00 44 23.16   -05 02 56.4   23.3r 13VK46    W84  C~3clY      
2016 08  26.37112  01 09 44.059  -03 10 36.11  23.6r 13VK46    W84  C~4yRU      
2016 08  26.37112  01 09 44.06   -03 10 36.1   23.6r 13VK46    W84  C~3clY      
2016 09  01.36019  01 09 21.138  -03 14 41.79  24.3g 13VK46    W84  C~4yRU      
2016 10  29.23433  01 04 13.155  -03 52 52.22  23.0i 13VK46    W84  C~4yRU      
2017 08  22.41973  01 18 53.984  -02 36 26.48  22.7i 13VK46    W84  C~4yRU      
2017 08  28.29776  01 18 34.995  -02 40 15.27  22.7r 13VK46    W84  C~4yRU      
2017 09  03.39959  01 18 12.022  -02 44 23.22  24.7g 13VK46    W84  C~4yRU      
2017 09  14.30989  01 17 23.747  -02 52 03.33  23.4z 13VK46    W84  C~4yRU      
2017 09  18.31390  01 17 04.042  -02 54 54.43  23.1i 13VK46    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    -0.12       0.00    -0.07
     2   0.0708  -2121.33     0.01      94.21     0.05
     3   0.0708  -2121.28     0.06      94.20     0.04
     4   0.0708  -2121.36     0.07      94.01    -0.15
     5   0.0708  -2121.32     0.11      94.06    -0.10
     6   0.0708  -2121.48     0.05      94.42     0.25
     7   0.9390  10693.79    -0.16   -1555.34    -0.09
     8   0.9392  10686.21    -0.14   -1555.85    -0.09
     9   0.9393  10681.87    -0.02   -1556.03     0.02
    10   0.9694   9637.88    -0.06   -1612.50     0.04
    11   0.9694   9637.91    -0.03   -1612.51     0.03
    12   0.9721   9542.41     0.05   -1615.80    -0.05
    13   0.9721   9542.34    -0.02   -1615.81    -0.06
    14   0.9721   9542.27     0.05   -1615.74     0.01
    15   0.9721   9542.24     0.02   -1615.72     0.03
    16   1.0865   6023.36    -0.04   -1477.86    -0.06
    17   1.0867   6018.87     0.09   -1477.04     0.07
    18   1.0867   6018.89     0.11   -1477.08     0.03
    19   1.0894   5957.24     0.01   -1467.99     0.08
    20   1.0894   5957.21    -0.02   -1468.03     0.04
    21   1.0895   5954.75    -0.04   -1467.64     0.03
    22   1.0922   5894.42    -0.11   -1458.30     0.06
    23   1.0922   5894.48    -0.05   -1458.35     0.01
    24   2.8697  29639.00     0.17   -4492.67    -0.13
    25   2.8697  29638.98     0.15   -4492.68    -0.13
    26   2.8861  29217.11     0.13   -4577.90    -0.02
    27   3.0445  23986.73    -0.05   -4793.96     0.01
    28   3.8582  38230.85     0.01   -6015.85    -0.00
    29   3.8742  37865.78    -0.14   -6109.20     0.10
    30   3.8910  37436.54    -0.06   -6195.34     0.04
    31   3.9208  36561.12    -0.09   -6319.83    -0.04
    32   3.9318  36211.17     0.08   -6355.17     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.

13VK46    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        41.904    41.924    41.885
ecceobj         0.309     0.309     0.308
incobj         13.556    13.556    13.556
qmin           28.649    28.650    28.640
qmax           55.401    63.020    55.643
amean          40.334    44.015    41.472
amin           36.782    41.214    39.569
amax           42.226    46.114    42.315
emean           0.275     0.337     0.298
emin            0.199     0.297     0.264
emax            0.312     0.367     0.315
imean          12.916    11.367    12.436
imin           12.182    10.382    12.134
imax           14.437    12.538    13.140
excite_mean     0.356     0.391     0.367
fracstop        0.020     0.024     0.019
cjmean          2.918     2.918     2.918

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       185.3     183.8     188.0
kozaiamp          6.0       6.2      11.1