Orbit Fit and Astrometric record for 13VR46

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: 13VR46    
# Created Mon Dec  6 02:12:15 2021
# Orbit generated from Bernstein formalism
# Fitting     31 observations of     31
# Arc:   4.12y
# First observation: 2013/10/04
#  Last observation: 2017/11/16
Preliminary a, adot, b, bdot, g, gdot:
   0.000163   0.028402  -0.000015   0.003628   0.027447   0.000000
# Chi-squared of fit:     7.11 DOF:     56 RMS:  0.08
# Min/Max residuals:    -0.21    0.22
# Exact a, adot, b, bdot, g, gdot:
  1.599636E-05  2.879502E-02  2.255007E-06  3.683616E-03  2.762998E-02  4.287904E-03
# Covariance matrix:
  3.3073E-13 -1.2890E-13 -6.4838E-15 -7.6673E-15  1.7149E-13 -6.6404E-13
 -1.2890E-13  2.7925E-13 -2.3008E-14  4.0119E-14  1.0088E-13  2.6459E-12
 -6.4838E-15 -2.3008E-14  1.5281E-13 -5.4148E-14 -2.6723E-14 -2.5279E-13
 -7.6673E-15  4.0119E-14 -5.4148E-14  3.1311E-14  2.2062E-14  4.2196E-13
  1.7149E-13  1.0088E-13 -2.6723E-14  2.2062E-14  3.0217E-13  1.2502E-12
 -6.6404E-13  2.6459E-12 -2.5279E-13  4.2196E-13  1.2502E-12  2.7672E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
  -12.155344   29.290930    0.315812   -0.199742   -0.927893  2456569.790198
# Heliocentric elements and errors
Epoch:              2456560.5000  =  2013/09/25
Mean Anomaly:           57.93055 +/-     0.017
Argument of Peri:      226.68698 +/-     0.026
Long of Asc Node:       87.52000 +/-     0.001
Inclination:            13.78898 +/-     0.000
Eccentricity:         0.14933246 +/-    0.0002
Semi-Major Axis:     39.54679264 +/-    0.0040
Time of Perihelion: 2441943.0884 +/-       3.6
Perihelion:          33.64117262 +/-    0.0081
Aphelion:            45.45241266 +/-    0.0086
Period (y)              248.6996 +/-      0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           31.83914681 +/-    0.0006
Ecliptic Y           17.50191150 +/-    0.0003
Ecliptic Z           -7.62077033 +/-    0.0002
Ecliptic XDOT        -0.00097284 +/-    0.0000
Ecliptic YDOT         0.00272794 +/-    0.0000
Ecliptic ZDOT         0.00026750 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   37.12309680 +/-    0.0006
Geocenter to KBO     36.19257198 +/-    0.0007
# Hcoef:  7.21

The following table shows the complete astrometric record for 13VR46. 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 (13VR46) followed by the observatory code and reference code for the source of the astrometry.

2013 10  04.28942  02 06 01.132  -00 10 06.54  24.3g 13VR46    W84  C~4yRU      
2013 11  13.19469  02 02 38.416  -00 26 45.86  22.5z 13VR46    W84  C~4yRU      
2013 11  13.19469  02 02 38.42   -00 26 45.9   22.5z 13VR46    W84  C~3clY      
2013 12  20.12820  02 00 15.937  -00 29 55.60  22.7i 13VR46    W84  C~4yRU      
2013 12  20.12820  02 00 15.94   -00 29 55.6   22.7i 13VR46    W84  C~3clY      
2013 12  20.12959  02 00 15.921  -00 29 55.68  22.3z 13VR46    W84  C~4yRU      
2013 12  20.12959  02 00 15.92   -00 29 55.7   22.3z 13VR46    W84  C~3clY      
2014 10  21.29169  02 10 30.426  +00 27 51.39  22.8r 13VR46    W84  C~4yRU      
2014 10  21.29169  02 10 30.43   +00 27 51.4   22.9r 13VR46    W84  C~3clY      
2014 10  29.27403  02 09 48.883  +00 24 28.18  23.1g 13VR46    W84  C~4yRU      
2014 10  29.27403  02 09 48.88   +00 24 28.2   23.6g 13VR46    W84  C~3clY      
2014 12  16.13070  02 06 16.998  +00 15 12.99  22.8i 13VR46    W84  C~4yRU      
2014 12  16.13070  02 06 17.00   +00 15 13.0   23.0i 13VR46    W84  C~3clY      
2015 01  19.04890  02 05 30.742  +00 23 17.78  22.1z 13VR46    W84  C~4yRU      
2015 01  19.04890  02 05 30.74   +00 23 17.8   22.2z 13VR46    W84  C~3clY      
2015 12  17.13079  02 12 01.531  +01 00 25.24  22.8i 13VR46    W84  C~4yRU      
2016 09  09.40296  02 25 01.924  +02 18 12.54  22.2i 13VR46    W84  C~4yRU      
2016 09  09.40296  02 25 01.93   +02 18 12.5   22.4i 13VR46    W84  C~3clY      
2016 10  22.22761  02 22 00.068  +01 58 02.44  22.5z 13VR46    W84  C~4yRU      
2016 10  22.22761  02 22 00.06   +01 58 02.4   22.8z 13VR46    W84  C~3clY      
2016 10  27.25479  02 21 34.044  +01 55 55.32  22.8i 13VR46    W84  C~4yRU      
2016 10  27.25479  02 21 34.04   +01 55 55.3   22.9i 13VR46    W84  C~3clY      
2016 10  27.25618  02 21 34.034  +01 55 55.30  23.1r 13VR46    W84  C~4yRU      
2016 10  27.25618  02 21 34.03   +01 55 55.3   23.0r 13VR46    W84  C~3clY      
2016 12  07.08806  02 18 18.296  +01 45 24.60  22.8i 13VR46    W84  C~4yRU      
2016 12  07.08806  02 18 18.29   +01 45 24.6   23.2i 13VR46    W84  C~3clY      
2016 12  23.05524  02 17 26.373  +01 45 36.46  24.0g 13VR46    W84  C~4yRU      
2017 11  01.16993  02 26 54.165  +02 38 49.60  22.4z 13VR46    W84  C~4yRU      
2017 11  16.17234  02 25 37.061  +02 33 50.48  23.1r 13VR46    W84  C~4yRU      
2017 11  16.17372  02 25 37.047  +02 33 50.49  22.8i 13VR46    W84  C~4yRU      
2017 11  16.17509  02 25 37.048  +02 33 50.41  24.0g 13VR46    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     0.10       0.00    -0.03
     2   0.1093  -3198.75     0.00     117.47    -0.20
     3   0.1093  -3198.79    -0.04     117.53    -0.14
     4   0.2104  -5269.93     0.13     680.90     0.02
     5   0.2104  -5269.97     0.09     680.92     0.03
     6   0.2104  -5270.25    -0.14     680.91     0.00
     7   0.2104  -5270.23    -0.12     680.93     0.01
     8   1.0459   4579.60     0.22     735.26     0.01
     9   1.0459   4579.54     0.16     735.27     0.02
    10   1.0677   3924.29    -0.15     760.84     0.09
    11   1.0677   3924.33    -0.11     760.81     0.05
    12   1.1987    750.41     0.03    1342.62    -0.00
    13   1.1987    750.38    -0.01    1342.62    -0.00
    14   1.2916    267.79    -0.08    2038.08     0.12
    15   1.2916    267.81    -0.06    2038.05     0.09
    16   2.2008   6540.42     0.10    2094.70     0.03
    17   2.9325  19187.24     0.02    2427.50    -0.08
    18   2.9325  19187.17    -0.05    2427.57    -0.01
    19   3.0498  16188.62    -0.21    2232.22     0.06
    20   3.0498  16188.74    -0.09    2232.22     0.05
    21   3.0636  15776.18    -0.04    2247.78    -0.00
    22   3.0636  15776.24     0.03    2247.78    -0.00
    23   3.0636  15776.04    -0.06    2247.83     0.05
    24   3.0636  15776.09    -0.01    2247.81     0.02
    25   3.1754  12790.20    -0.02    2671.58     0.06
    26   3.1754  12790.28     0.07    2671.55     0.03
    27   3.2191  12061.48     0.01    2952.48    -0.07
    28   4.0763  21212.69    -0.09    3011.97    -0.09
    29   4.1174  20013.18     0.13    3129.74    -0.05
    30   4.1174  20012.99     0.04    3129.82     0.02
    31   4.1174  20012.97     0.13    3129.74    -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.

13VR46    quality flag:3

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

axisobj        39.779    39.792    39.766
ecceobj         0.154     0.155     0.154
incobj         13.797    13.797    13.797
qmin           32.770    32.755    32.805
qmax           46.624    46.500    46.608
amean          39.457    39.457    39.457
amin           39.075    39.065    39.075
amax           39.886    39.901    39.887
emean           0.147     0.146     0.147
emin            0.128     0.127     0.128
emax            0.169     0.168     0.169
imean          12.551    12.572    12.528
imin           11.632    11.627    11.610
imax           13.495    13.524    13.477
excite_mean     0.262     0.262     0.262
fracstop        1.000     1.000     1.000
cjmean          2.974     2.974     2.974

libcent 0       180.6     180.9     180.1
libamp  0        64.8      68.3      60.5
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       181.4     181.3     181.3
kozaiamp        180.0     180.0     180.0