Orbit Fit and Astrometric record for 13VZ71

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: 13VZ71    
# Created Mon Dec  6 02:12:16 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     20 observations of     20
# Arc:   5.17y
# First observation: 2013/09/29
#  Last observation: 2018/11/30
# Chi-squared of fit:     9.70 DOF:     34 RMS:  0.12
# Min/Max residuals:    -0.39    0.25
# Exact a, adot, b, bdot, g, gdot:
  1.564950E-05  2.807679E-02 -9.159989E-06 -1.396502E-02  2.714279E-02 -1.144845E-03
# Covariance matrix:
  3.6608E-13 -1.9901E-13 -5.9175E-14  8.6507E-14  1.8595E-13 -1.2982E-12
 -1.9901E-13  2.6527E-13  8.3342E-14 -1.3744E-13  6.4504E-15  2.0399E-12
 -5.9175E-14  8.3342E-14  2.1481E-13 -1.0093E-13 -1.5251E-14  7.1329E-13
  8.6507E-14 -1.3744E-13 -1.0093E-13  1.0389E-13  2.3225E-15 -1.1694E-12
  1.8595E-13  6.4504E-15 -1.5251E-14  2.3225E-15  3.9139E-13 -6.3908E-14
 -1.2982E-12  2.0399E-12  7.1329E-13 -1.1694E-12 -6.3908E-14  1.7365E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
  -10.117417   13.606184    0.132541   -0.174340   -0.977659  2456564.826258
# Heliocentric elements and errors
Epoch:              2456564.5000  =  2013/09/29
Mean Anomaly:          353.93561 +/-     0.019
Argument of Peri:      212.59082 +/-     0.035
Long of Asc Node:      174.45376 +/-     0.000
Inclination:            28.13671 +/-     0.000
Eccentricity:         0.28417299 +/-    0.0001
Semi-Major Axis:     52.60771780 +/-    0.0080
Time of Perihelion: 2458912.2784 +/-      32.0
Perihelion:          37.65802545 +/-    0.0073
Aphelion:            67.55741015 +/-    0.0112
Period (y)              381.5772 +/-      0.09
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           36.24720689 +/-    0.0008
Ecliptic Y            8.64003408 +/-    0.0002
Ecliptic Z           -6.47228608 +/-    0.0001
Ecliptic XDOT        -0.00102340 +/-    0.0000
Ecliptic YDOT         0.00266630 +/-    0.0000
Ecliptic ZDOT        -0.00136630 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   37.82066756 +/-    0.0008
Geocenter to KBO     36.84225172 +/-    0.0008
# Hcoef:  7.98

The following table shows the complete astrometric record for 13VZ71. 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 (13VZ71) followed by the observatory code and reference code for the source of the astrometry.

2013 09  29.32548  01 05 45.872  -03 57 33.85  24.3g 13VZ71    W84  C~55OI      
2013 11  04.03496  01 03 00.22   -04 17 54.7         13VZ71    W84  C~55OI      
2013 11  04.09963  01 02 59.94   -04 17 56.4   24.0r 13VZ71    W84  C~55OI      
2013 11  04.18019  01 02 59.58   -04 17 58.6         13VZ71    W84  C~55OI      
2013 12  21.09712  01 00 56.679  -04 26 21.40  22.9i 13VZ71    W84  C~55OI      
2014 10  01.32552  01 12 49.499  -04 05 31.90  23.3r 13VZ71    W84  C~55OI      
2014 11  17.15825  01 09 19.048  -04 29 36.44  24.4g 13VZ71    W84  C~55OI      
2014 11  18.16985  01 09 15.396  -04 29 54.66  23.0i 13VZ71    W84  C~55OI      
2014 11  21.04127  01 09 05.362  -04 30 42.72  22.8z 13VZ71    W84  C~55OI      
2014 11  27.10989  01 08 46.095  -04 32 05.05  23.8r 13VZ71    W84  C~55OI      
2015 09  04.28108  01 21 53.562  -03 53 23.06  23.8i 13VZ71    W84  C~55OI      
2015 11  02.11612  01 17 32.789  -04 30 26.04  23.9r 13VZ71    W84  C~55OI      
2016 08  16.37045  01 29 50.133  -03 47 50.23  23.8i 13VZ71    W84  C~55OI      
2016 10  23.16108  01 25 28.324  -04 32 16.48  23.8r 13VZ71    W84  C~55OI      
2016 10  28.14816  01 25 04.643  -04 34 53.11  23.7i 13VZ71    W84  C~55OI      
2017 11  15.15979  01 30 58.256  -04 48 34.05  23.7r 13VZ71    W84  C~55OI      
2017 11  15.16116  01 30 58.249  -04 48 33.90  24.4g 13VZ71    W84  C~55OI      
2017 11  15.16527  01 30 58.230  -04 48 33.99  23.3i 13VZ71    W84  C~55OI      
2018 11  15.08984  01 38 12.118  -04 54 25.82  23.6i 13VZ71    W84  C~55OI      
2018 11  30.12137  01 37 14.766  -04 58 07.61  24.7g 13VZ71    W84  C~55OI      

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     0.25
     2   0.0978      0.00     0.07       0.00     0.03
     3   0.0979      0.00     0.06       0.00     0.02
     4   0.0982      0.00    -0.14       0.00    -0.08
     5   0.2266      0.00    -0.00       0.00    -0.39
     6   1.0048      0.00    -0.08       0.00    -0.06
     7   1.1330      0.00    -0.00       0.00     0.13
     8   1.1358      0.00     0.14       0.00     0.07
     9   1.1436      0.00    -0.13       0.00    -0.15
    10   1.1603      0.00     0.08       0.00     0.03
    11   1.9301      0.00    -0.14       0.00     0.05
    12   2.0911      0.00     0.02       0.00     0.17
    13   2.8803      0.00     0.12       0.00    -0.09
    14   3.0659      0.00    -0.04       0.00     0.09
    15   3.0796      0.00    -0.11       0.00     0.09
    16   4.1282      0.00     0.12       0.00    -0.13
    17   4.1282      0.00     0.11       0.00     0.05
    18   4.1282      0.00     0.08       0.00     0.04
    19   5.1273      0.00    -0.00       0.00     0.13
    20   5.1685      0.00    -0.13       0.00    -0.22

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.

13VZ71    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        52.960    52.960    52.960
ecceobj         0.289     0.289     0.289
incobj         28.062    28.062    28.062
qmin           36.390    36.392    36.369
qmax           69.377    69.407    69.385
amean          52.508    52.518    52.516
amin           51.984    51.995    52.006
amax           53.146    53.165    53.138
emean           0.288     0.288     0.288
emin            0.270     0.270     0.270
emax            0.306     0.306     0.306
imean          27.411    27.410    27.413
imin           26.977    26.974    26.985
imax           27.991    27.998    27.977
excite_mean     0.543     0.543     0.543
fracstop        1.000     1.000     1.000
cjmean          2.819     2.819     2.819

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       185.8     185.9     186.8
kozaiamp        180.0     180.0     179.9