Orbit Fit and Astrometric record for 13VR71

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: 13VR71    
# Created Mon Dec  6 02:12:15 2021
# Orbit generated from Bernstein formalism
# Fitting      9 observations of      9
# Arc:   2.84y
# First observation: 2013/11/08
#  Last observation: 2016/09/10
Preliminary a, adot, b, bdot, g, gdot:
   0.000099   0.035640  -0.000011   0.007376   0.031195   0.000000
# Chi-squared of fit:     1.44 DOF:     12 RMS:  0.07
# Min/Max residuals:    -0.15    0.14
# Exact a, adot, b, bdot, g, gdot:
  1.843925E-05  3.626452E-02  3.605661E-06  7.520689E-03  3.140461E-02  4.126644E-03
# Covariance matrix:
  4.5146E-13 -3.9941E-13  1.0313E-14 -4.1970E-14 -4.9408E-14 -2.0801E-12
 -3.9941E-13  1.9070E-12 -1.2542E-13  3.5191E-13  1.8879E-12  1.8950E-11
  1.0313E-14 -1.2542E-13  4.0102E-13 -2.2297E-13 -1.5663E-13 -1.3861E-12
 -4.1970E-14  3.5191E-13 -2.2297E-13  2.4537E-13  3.7868E-13  3.8443E-12
 -4.9408E-14  1.8879E-12 -1.5663E-13  3.7868E-13  2.8516E-12  2.1232E-11
 -2.0801E-12  1.8950E-11 -1.3861E-12  3.8443E-12  2.1232E-11  2.0764E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
  -11.546570   31.686759   -0.238903   -0.192074   -0.940873  2456604.727958
# Heliocentric elements and errors
Epoch:              2456600.5000  =  2013/11/04
Mean Anomaly:           27.55643 +/-     0.062
Argument of Peri:      274.27464 +/-     0.108
Long of Asc Node:       75.18759 +/-     0.002
Inclination:            16.18364 +/-     0.000
Eccentricity:         0.20553009 +/-    0.0002
Semi-Major Axis:     39.50095451 +/-    0.0057
Time of Perihelion: 2449659.3699 +/-      15.5
Perihelion:          31.38231970 +/-    0.0105
Aphelion:            47.61958931 +/-    0.0117
Period (y)              248.2673 +/-      0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           27.23812441 +/-    0.0014
Ecliptic Y           17.09815003 +/-    0.0009
Ecliptic Z           -6.37366954 +/-    0.0003
Ecliptic XDOT        -0.00125523 +/-    0.0000
Ecliptic YDOT         0.00294263 +/-    0.0000
Ecliptic ZDOT         0.00057051 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   32.78545134 +/-    0.0013
Geocenter to KBO     31.84245761 +/-    0.0017
# Hcoef:  8.51

The following table shows the complete astrometric record for 13VR71. 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 (13VR71) followed by the observatory code and reference code for the source of the astrometry.

2013 11  08.22718  02 13 59.729  +01 12 25.64  24.1r 13VR71    W84  C~52Rr      
2013 11  08.24587  02 13 59.628  +01 12 25.15  23.4i 13VR71    W84  C~52Rr      
2013 11  23.19826  02 12 37.345  +01 08 23.92  23.2i 13VR71    W84  C~52Rr      
2014 10  21.24648  02 22 59.159  +02 26 03.91  23.5r 13VR71    W84  C~52Rr      
2014 12  16.12503  02 18 06.754  +02 12 29.49  23.9r 13VR71    W84  C~52Rr      
2015 01  19.04437  02 17 05.424  +02 20 59.78  23.5i 13VR71    W84  C~52Rr      
2015 12  17.13910  02 25 09.068  +03 17 18.32  23.7i 13VR71    W84  C~52Rr      
2015 12  17.14046  02 25 09.065  +03 17 18.26  23.3r 13VR71    W84  C~52Rr      
2016 09  10.40032  02 40 17.031  +04 54 21.94  23.4i 13VR71    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    -0.04       0.00     0.04
     2   0.0001     -1.59     0.04       0.05    -0.11
     3   0.0410  -1244.38    -0.04     190.92     0.09
     4   0.9501   9110.74     0.00    1425.36     0.01
     5   1.1031   4705.54     0.10    2138.71     0.14
     6   1.1959   4012.73    -0.02    2929.95    -0.15
     7   2.1052  11987.86    -0.04    3668.05    -0.01
     8   2.1052  11987.79    -0.03    3668.01    -0.08
     9   2.8396  26878.93     0.01    4624.64     0.07

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.

13VR71    quality flag:3

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

axisobj        39.757    39.775    39.739
ecceobj         0.211     0.212     0.211
incobj         16.189    16.189    16.189
qmin           27.850    27.873    27.856
qmax           51.696    51.514    51.681
amean          39.455    39.455    39.455
amin           39.032    39.028    39.028
amax           39.970    39.969    39.988
emean           0.250     0.250     0.250
emin            0.193     0.193     0.192
emax            0.294     0.292     0.293
imean          11.843    11.845    11.851
imin            9.177     9.159     9.207
imax           14.963    14.963    14.962
excite_mean     0.326     0.326     0.326
fracstop        1.000     1.000     1.000
cjmean          2.931     2.931     2.931

libcent 0       179.9     180.6     180.1
libamp  0        71.2      71.6      71.8
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       266.1     266.2     265.8
kozaiamp         60.1      59.9      60.6