Orbit Fit and Astrometric record for 13VQ71

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: 13VQ71    
# Created Tue Dec  7 02:12:23 2021
# Orbit generated from Bernstein formalism
# Fitting     12 observations of     12
# Arc:   2.97y
# First observation: 2013/11/08
#  Last observation: 2016/10/29
Preliminary a, adot, b, bdot, g, gdot:
  -0.000010   0.025236  -0.000015  -0.000054   0.025901   0.000000
# Chi-squared of fit:     4.66 DOF:     18 RMS:  0.11
# Min/Max residuals:    -0.22    0.23
# Exact a, adot, b, bdot, g, gdot:
  1.564745E-05  2.534329E-02 -1.551602E-07 -4.352825E-05  2.566243E-02  1.645560E-03
# Covariance matrix:
  4.5652E-13 -5.4510E-13  1.5755E-15  1.9192E-16 -2.1907E-13 -5.1625E-12
 -5.4510E-13  1.1725E-12 -7.6635E-15 -1.3448E-15  7.1442E-13  1.3644E-11
  1.5755E-15 -7.6635E-15  3.0359E-13 -1.4995E-13 -2.0669E-14 -9.5675E-14
  1.9192E-16 -1.3448E-15 -1.4995E-13  1.2572E-13 -4.6188E-15 -1.6519E-14
 -2.1907E-13  7.1442E-13 -2.0669E-14 -4.6188E-15  1.0802E-12  9.1499E-12
 -5.1625E-12  1.3644E-11 -9.5675E-14 -1.6519E-14  9.1499E-12  1.7787E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
   -9.545081   30.639773   -0.256284   -0.158352   -0.942580  2456604.720548
# Heliocentric elements and errors
Epoch:              2456600.5000  =  2013/11/04
Mean Anomaly:           93.36371 +/-     0.124
Argument of Peri:      168.30092 +/-     0.109
Long of Asc Node:      121.45135 +/-     0.005
Inclination:             9.31755 +/-     0.000
Eccentricity:         0.06954644 +/-    0.0005
Semi-Major Axis:     39.56069639 +/-    0.0050
Time of Perihelion: 2433029.9382 +/-      30.9
Perihelion:          36.80939060 +/-    0.0206
Aphelion:            42.31200218 +/-    0.0208
Period (y)              248.8308 +/-      0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           33.75376616 +/-    0.0013
Ecliptic Y           20.29491534 +/-    0.0008
Ecliptic Z           -6.46178928 +/-    0.0003
Ecliptic XDOT        -0.00123584 +/-    0.0000
Ecliptic YDOT         0.00241245 +/-    0.0000
Ecliptic ZDOT        -0.00003355 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   39.91184085 +/-    0.0012
Geocenter to KBO     38.96747549 +/-    0.0016
# Hcoef:  7.33

The following table shows the complete astrometric record for 13VQ71. 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 (13VQ71) followed by the observatory code and reference code for the source of the astrometry.

2013 11  08.21977  02 07 23.629  +02 44 18.24  23.2r 13VQ71    W84  C~52Rq      
2013 11  08.23874  02 07 23.537  +02 44 17.88  22.9i 13VQ71    W84  C~52Rq      
2013 11  13.19608  02 07 00.358  +02 42 36.34  22.7z 13VQ71    W84  C~52Rr      
2014 10  03.33458  02 15 41.777  +03 29 40.28  22.8i 13VQ71    W84  C~52Rr      
2014 10  03.33595  02 15 41.749  +03 29 40.05  24.1g 13VQ71    W84  C~52Rr      
2014 11  17.12976  02 12 10.846  +03 11 01.25  23.9r 13VQ71    W84  C~52Rr      
2014 12  16.12224  02 10 20.378  +03 05 49.22  23.6r 13VQ71    W84  C~52Rr      
2014 12  25.09067  02 09 57.914  +03 05 47.66  23.4i 13VQ71    W84  C~52Rr      
2015 01  15.04937  02 09 33.560  +03 08 49.03  22.4z 13VQ71    W84  C~52Rr      
2016 01  10.05913  02 14 56.172  +03 36 31.31  23.9r 13VQ71    W84  C~52Rr      
2016 10  29.20473  02 24 30.756  +04 16 04.04  23.0i 13VQ71    W84  C~52Rr      
2016 10  29.20610  02 24 30.762  +04 16 04.09  23.1r 13VQ71    W84  C~52Rr      

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    -0.01       0.00     0.03
     2   0.0001     -1.42    -0.00       0.13     0.07
     3   0.0136   -362.48    -0.03      23.75    -0.04
     4   0.9011   7946.07     0.16       8.35    -0.04
     5   0.9011   7945.60    -0.22       8.28    -0.10
     6   1.0237   4592.04     0.13      34.22     0.08
     7   1.1031   2929.95     0.03     306.57    -0.10
     8   1.1276   2613.19    -0.08     420.20    -0.21
     9   1.1850   2332.46     0.07     715.45     0.23
    10   2.1707   7443.61    -0.06     627.90     0.17
    11   2.9733  16367.69    -0.10     -61.94    -0.05
    12   2.9733  16367.79     0.11     -61.92    -0.03

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.

13VQ71    quality flag:3

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

axisobj        39.777    39.793    39.761
ecceobj         0.072     0.073     0.072
incobj          9.317     9.317     9.317
qmin           35.747    35.746    35.756
qmax           43.485    43.481    43.492
amean          39.464    39.464    39.464
amin           39.118    39.104    39.132
amax           39.846    39.854    39.825
emean           0.070     0.070     0.070
emin            0.048     0.048     0.050
emax            0.091     0.092     0.093
imean           7.892     7.858     7.902
imin            6.961     6.913     6.992
imax            9.196     9.208     9.160
excite_mean     0.154     0.154     0.155
fracstop        1.000     1.000     1.000
cjmean          3.026     3.026     3.025

libcent 0       180.2     180.8     180.1
libamp  0        59.0      67.1      52.5
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       179.8     180.1     179.6
kozaiamp        179.9     180.0     180.0