Orbit Fit and Astrometric record for 13VP46

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: 13VP46    
# Created Fri Dec  3 02:12:16 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     32 observations of     32
# Arc:   7.02y
# First observation: 2013/11/08
#  Last observation: 2020/11/14
# Chi-squared of fit:    26.42 DOF:     58 RMS:  0.16
# Min/Max residuals:    -0.56    0.65
# Exact a, adot, b, bdot, g, gdot:
  1.813076E-05  3.192280E-02  2.648932E-06  2.727355E-03  2.802682E-02  4.234783E-03
# Covariance matrix:
  9.7051E-14 -6.4318E-14  1.8658E-15 -3.8083E-15 -9.0451E-15 -2.5351E-13
 -6.4318E-14  1.0626E-13 -4.1340E-15  8.0889E-15  2.6897E-14  5.4073E-13
  1.8658E-15 -4.1340E-15  7.8022E-14 -2.3413E-14 -5.8559E-15 -2.3964E-14
 -3.8083E-15  8.0889E-15 -2.3413E-14  1.8695E-14  2.2596E-16  5.0173E-14
 -9.0451E-15  2.6897E-14 -5.8559E-15  2.2596E-16  2.5861E-13  9.1470E-14
 -2.5351E-13  5.4073E-13 -2.3964E-14  5.0173E-14  9.1470E-14  3.3317E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
  -12.869444   35.918621   -0.167616   -0.217077   -0.950780  2456604.741068
# Heliocentric elements and errors
Epoch:              2456604.5000  =  2013/11/08
Mean Anomaly:           21.57210 +/-     0.007
Argument of Peri:      253.25033 +/-     0.012
Long of Asc Node:      104.72519 +/-     0.001
Inclination:            13.43041 +/-     0.000
Eccentricity:         0.26869046 +/-    0.0001
Semi-Major Axis:     47.87930589 +/-    0.0053
Time of Perihelion: 2449353.2974 +/-       2.6
Perihelion:          35.01459327 +/-    0.0054
Aphelion:            60.74401850 +/-    0.0077
Period (y)              331.3065 +/-      0.06
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           28.86017105 +/-    0.0005
Ecliptic Y           21.11621016 +/-    0.0004
Ecliptic Z           -7.94700374 +/-    0.0001
Ecliptic XDOT        -0.00146089 +/-    0.0000
Ecliptic YDOT         0.00279515 +/-    0.0000
Ecliptic ZDOT         0.00016774 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   36.63266708 +/-    0.0005
Geocenter to KBO     35.68005574 +/-    0.0006
# Hcoef:  7.73

The following table shows the complete astrometric record for 13VP46. 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 (13VP46) followed by the observatory code and reference code for the source of the astrometry.

2013 11  08.24029  02 31 21.776  +01 19 32.88  23.8g 13VP46    W84  C~4yRU      
2013 11  08.24166  02 31 21.762  +01 19 33.11  22.9r 13VP46    W84  C~4yRU      
2013 11  08.24166  02 31 21.76   +01 19 33.1   23.2r 13VP46    W84  C~3clY      
2013 11  08.25815  02 31 21.673  +01 19 32.95  22.9i 13VP46    W84  C~4yRU      
2013 11  08.25815  02 31 21.67   +01 19 32.9   22.9i 13VP46    W84  C~3clY      
2013 11  13.13651  02 30 56.466  +01 17 57.81  22.8z 13VP46    W84  C~4yRU      
2013 12  01.18708  02 29 29.374  +01 13 58.42  23.7g 13VP46    W84  C~4yRU      
2013 12  01.18848  02 29 29.371  +01 13 58.43  23.8r 13VP46    W84  C~4yRU      
2013 12  01.18848  02 29 29.37   +01 13 58.4   23.8r 13VP46    W84  C~3clY      
2013 12  01.19420  02 29 29.372  +01 13 58.34  24.0g 13VP46    W84  C~4yRU      
2013 12  01.19557  02 29 29.336  +01 13 58.66  23.5r 13VP46    W84  C~4yRU      
2013 12  01.19557  02 29 29.34   +01 13 58.7   23.5r 13VP46    W84  C~3clY      
2013 12  01.19696  02 29 29.325  +01 13 58.33  23.4i 13VP46    W84  C~4yRU      
2014 09  24.30049  02 41 38.188  +02 23 52.48  23.3r 13VP46    W84  C~4yRU      
2014 09  24.30049  02 41 38.19   +02 23 52.5   23.4r 13VP46    W84  C~3clY      
2014 09  24.30187  02 41 38.193  +02 23 52.11  23.7g 13VP46    W84  C~4yRU      
2014 09  30.31171  02 41 15.077  +02 20 53.99  22.9i 13VP46    W84  C~4yRU      
2014 09  30.31171  02 41 15.08   +02 20 54.0   22.9i 13VP46    W84  C~3clY      
2014 10  21.24363  02 39 38.659  +02 10 51.50  23.1r 13VP46    W84  C~4yRU      
2014 10  21.24363  02 39 38.66   +02 10 51.5   23.1r 13VP46    W84  C~3clY      
2014 10  21.30581  02 39 38.339  +02 10 49.86  23.3i 13VP46    W84  C~4yRU      
2015 11  22.12727  02 43 33.566  +02 42 59.62  22.1z 13VP46    W84  C~4yRU      
2015 12  15.16239  02 41 50.910  +02 39 57.68  23.7r 13VP46    W84  C~4yRU      
2015 12  15.16239  02 41 50.91   +02 39 57.7   23.7r 13VP46    W84  C~3clY      
2015 12  15.16376  02 41 50.886  +02 39 57.65  23.3i 13VP46    W84  C~4yRU      
2015 12  15.16376  02 41 50.89   +02 39 57.6   23.4i 13VP46    W84  C~3clY      
2016 10  26.22477  02 52 23.947  +03 34 40.57  23.7r 13VP46    W84  C~4yRU      
2017 10  26.29745  02 58 56.184  +04 16 57.19  24.1g 13VP46    W84  C~4yRU      
2017 12  11.13540  02 55 07.554  +04 04 53.17  23.9g 13VP46    W84  C~4yRU      
2018 01  05.05847  02 53 45.558  +04 06 06.45  23.5r 13VP46    W84  C~4yRU      
2020 11  14.268120 03 16 32.991  +06 13 09.66  23.1G 13VP46    G37  C~4NlI      
2020 11  14.353610 03 16 32.537  +06 13 09.36        13VP46    G37  C~4NlI      

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     0.05       0.00    -0.22
     2   0.0000      0.00    -0.08       0.00     0.02
     3   0.0000      0.00    -0.05       0.00     0.03
     4   0.0000      0.00    -0.12       0.00     0.16
     5   0.0000      0.00    -0.08       0.00     0.21
     6   0.0134      0.00     0.15       0.00    -0.21
     7   0.0628      0.00    -0.09       0.00    -0.06
     8   0.0628      0.00    -0.04       0.00    -0.04
     9   0.0628      0.00    -0.06       0.00    -0.07
    10   0.0628      0.00     0.36       0.00    -0.09
    11   0.0628      0.00    -0.03       0.00     0.29
    12   0.0628      0.00    -0.09       0.00     0.25
    13   0.0629      0.00    -0.16       0.00    -0.07
    14   0.8763      0.00    -0.05       0.00     0.08
    15   0.8763      0.00    -0.08       0.00     0.06
    16   0.8763      0.00     0.07       0.00    -0.27
    17   0.8927      0.00     0.06       0.00     0.03
    18   0.8927      0.00     0.02       0.00     0.02
    19   0.9500      0.00     0.08       0.00     0.01
    20   0.9500      0.00     0.07       0.00     0.01
    21   0.9502      0.00     0.05       0.00     0.05
    22   2.0367      0.00     0.11       0.00    -0.04
    23   2.0997      0.00     0.13       0.00    -0.02
    24   2.0997      0.00     0.13       0.00    -0.04
    25   2.0997      0.00    -0.09       0.00    -0.12
    26   2.0997      0.00    -0.15       0.00    -0.07
    27   2.9650      0.00    -0.03       0.00     0.23
    28   3.9646      0.00    -0.15       0.00     0.03
    29   4.0901      0.00     0.06       0.00    -0.06
    30   4.1583      0.00     0.02       0.00    -0.12
    31   7.0172      0.00    -0.01       0.00    -0.56
    32   7.0174      0.00     0.02       0.00     0.65

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.

13VP46    quality flag:3

Type:           2:1E      2:1E      2:1E

axisobj        48.256    48.256    48.256
ecceobj         0.275     0.275     0.275
incobj         13.438    13.438    13.438
qmin           33.996    33.996    33.996
qmax           62.018    62.018    62.018
amean          47.798    47.798    47.798
amin           47.346    47.346    47.346
amax           48.355    48.355    48.355
emean           0.262     0.262     0.262
emin            0.241     0.241     0.241
emax            0.286     0.286     0.286
imean          12.534    12.533    12.534
imin           11.583    11.583    11.583
imax           13.665    13.665    13.665
excite_mean     0.341     0.341     0.341
fracstop        1.000     1.000     1.000
cjmean          3.004     3.004     3.004

libcent 0        73.8      73.8      73.7
libamp  0        12.9      12.8      12.9
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       177.9     177.9     177.9
kozaiamp        179.9     179.9     180.0