Orbit Fit and Astrometric record for 13VS71

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: 13VS71    
# Created Tue Nov 30 02:12:21 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     12 observations of     12
# Arc:   7.99y
# First observation: 2013/11/08
#  Last observation: 2021/11/05
# Chi-squared of fit:     0.71 DOF:     18 RMS:  0.04
# Min/Max residuals:    -0.10    0.10
# Exact a, adot, b, bdot, g, gdot:
  1.979810E-05  4.097016E-02  1.399946E-06  2.698632E-03  3.310725E-02  7.822711E-04
# Covariance matrix:
  2.8341E-13 -1.4045E-13 -4.5813E-15 -6.1204E-15  2.0215E-13 -3.0962E-13
 -1.4045E-13  3.7672E-13 -1.4228E-14  2.4529E-14  1.6707E-13  1.0758E-12
 -4.5813E-15 -1.4228E-14  1.9366E-13 -2.8817E-14 -4.6453E-14 -4.5306E-14
 -6.1204E-15  2.4529E-14 -2.8817E-14  1.2474E-14  1.7624E-14  7.2673E-14
  2.0215E-13  1.6707E-13 -4.6453E-14  1.7624E-14  1.2065E-12  5.8950E-13
 -3.0962E-13  1.0758E-12 -4.5306E-14  7.2673E-14  5.8950E-13  3.1714E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
  -13.511615   37.995187   -0.131967   -0.228997   -0.953600  2456604.729478
# Heliocentric elements and errors
Epoch:              2456604.5000  =  2013/11/08
Mean Anomaly:            4.47160 +/-     0.009
Argument of Peri:      278.77345 +/-     0.014
Long of Asc Node:      111.92327 +/-     0.001
Inclination:            13.61970 +/-     0.000
Eccentricity:         0.21716602 +/-    0.0001
Semi-Major Axis:     39.75001516 +/-    0.0071
Time of Perihelion: 2455467.4877 +/-       2.3
Perihelion:          31.11766265 +/-    0.0072
Aphelion:            48.38236768 +/-    0.0098
Period (y)              250.6191 +/-      0.07
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           23.83510970 +/-    0.0008
Ecliptic Y           18.78991986 +/-    0.0006
Ecliptic Z           -7.05715496 +/-    0.0002
Ecliptic XDOT        -0.00200120 +/-    0.0000
Ecliptic YDOT         0.00273913 +/-    0.0000
Ecliptic ZDOT         0.00020202 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   31.16049045 +/-    0.0007
Geocenter to KBO     30.20488811 +/-    0.0010
# Hcoef:  8.83

The following table shows the complete astrometric record for 13VS71. 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 (13VS71) followed by the observatory code and reference code for the source of the astrometry.

2013 11  08.22870  02 39 50.962  +01 21 35.04  24.0r 13VS71    W84  C~52Rr      
2013 11  08.24869  02 39 50.842  +01 21 34.69  23.1i 13VS71    W84  C~52Rr      
2013 11  23.21586  02 38 22.291  +01 16 40.28  23.3i 13VS71    W84  C~52Rr      
2013 12  01.19833  02 37 38.641  +01 15 03.67  24.3g 13VS71    W84  C~52Rr      
2013 12  01.19973  02 37 38.631  +01 15 03.64  23.5r 13VS71    W84  C~52Rr      
2013 12  20.14218  02 36 13.002  +01 14 25.94  23.5i 13VS71    W84  C~52Rr      
2014 09  30.29379  02 52 12.869  +02 34 41.56  24.0r 13VS71    W84  C~52Rr      
2015 12  14.17272  02 53 56.145  +02 58 37.18  23.7r 13VS71    W84  C~52Rr      
2015 12  15.16519  02 53 51.525  +02 58 35.54  24.5g 13VS71    W84  C~52Rr      
2021 11  05.398130 03 49 28.825  +08 09 32.34  23.6G 13VS71    G37  C~5BR7      
2021 11  05.439500 03 49 28.579  +08 09 31.40        13VS71    G37  C~5BR7      
2021 11  05.481210 03 49 28.325  +08 09 30.47        13VS71    G37  C~5BR7      

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    -0.04       0.00    -0.04
     2   0.0001      0.00     0.01       0.00     0.10
     3   0.0410      0.00     0.02       0.00     0.08
     4   0.0629      0.00     0.04       0.00    -0.00
     5   0.0629      0.00    -0.00       0.00    -0.02
     6   0.1148      0.00    -0.05       0.00    -0.10
     7   0.8927      0.00    -0.00       0.00    -0.03
     8   2.0970      0.00     0.02       0.00     0.07
     9   2.0998      0.00    -0.01       0.00    -0.04
    10   7.9923      0.00    -0.03       0.00     0.01
    11   7.9924      0.00     0.03       0.00    -0.01
    12   7.9925      0.00    -0.00       0.00    -0.01

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.

13VS71    quality flag:3

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

axisobj        39.987    39.987    39.987
ecceobj         0.222     0.222     0.222
incobj         13.625    13.625    13.625
qmin           30.039    30.041    30.041
qmax           49.602    49.603    49.502
amean          39.456    39.456    39.456
amin           38.964    38.969    38.955
amax           40.011    40.009    40.018
emean           0.212     0.211     0.215
emin            0.185     0.182     0.189
emax            0.240     0.240     0.238
imean          11.385    11.409    11.297
imin           10.590    10.588    10.592
imax           12.328    12.474    12.094
excite_mean     0.290     0.290     0.291
fracstop        1.000     1.000     1.000
cjmean          2.957     2.957     2.956

libcent 0       179.4     179.5     179.2
libamp  0       109.0     107.4     110.0
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       182.8     179.5     190.5
kozaiamp        180.0     180.0     179.9