Orbit Fit and Astrometric record for 13VD72

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: 13VD72    
# Created Sat Dec  4 02:12:21 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     14 observations of     14
# Arc:   5.09y
# First observation: 2013/10/04
#  Last observation: 2018/11/06
# Chi-squared of fit:     9.95 DOF:     22 RMS:  0.15
# Min/Max residuals:    -0.32    0.38
# Exact a, adot, b, bdot, g, gdot:
  1.794780E-05  3.194490E-02 -3.789164E-06 -8.138895E-03  2.849237E-02  5.018582E-03
# Covariance matrix:
  2.7131E-13 -2.0837E-13 -2.1070E-14  4.6031E-14  8.0026E-14 -1.3066E-12
 -2.0837E-13  4.8059E-13  4.8431E-14 -1.2377E-13  1.4636E-13  3.4086E-12
 -2.1070E-14  4.8431E-14  1.9864E-13 -7.0132E-14 -5.9753E-15  3.9489E-13
  4.6031E-14 -1.2377E-13 -7.0132E-14  7.1528E-14 -2.3215E-14 -9.6859E-13
  8.0026E-14  1.4636E-13 -5.9753E-15 -2.3215E-14  6.8971E-13  4.4790E-13
 -1.3066E-12  3.4086E-12  3.9489E-13 -9.6859E-13  4.4790E-13  2.6877E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
  -17.427787   23.022438    0.210906   -0.292758   -0.932986  2456569.754058
# Heliocentric elements and errors
Epoch:              2456570.5000  =  2013/10/05
Mean Anomaly:           20.76451 +/-     0.014
Argument of Peri:      192.93081 +/-     0.028
Long of Asc Node:      154.18213 +/-     0.001
Inclination:            22.15954 +/-     0.000
Eccentricity:         0.28543997 +/-    0.0002
Semi-Major Axis:     48.08420014 +/-    0.0099
Time of Perihelion: 2449545.9057 +/-       5.2
Perihelion:          34.35904726 +/-    0.0110
Aphelion:            61.80935302 +/-    0.0153
Period (y)              333.4355 +/-      0.10
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           31.80060002 +/-    0.0009
Ecliptic Y           13.28740692 +/-    0.0004
Ecliptic Z          -10.51186805 +/-    0.0003
Ecliptic XDOT        -0.00099879 +/-    0.0000
Ecliptic YDOT         0.00291209 +/-    0.0000
Ecliptic ZDOT        -0.00089046 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   36.03229294 +/-    0.0008
Geocenter to KBO     35.09704988 +/-    0.0010
# Hcoef:  8.23

The following table shows the complete astrometric record for 13VD72. 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 (13VD72) followed by the observatory code and reference code for the source of the astrometry.

2013 10  04.25328  01 50 53.758  -07 15 34.13  24.0r 13VD72    W84  C~55OI      
2013 10  04.25470  01 50 53.744  -07 15 34.05  23.3i 13VD72    W84  C~55OI      
2013 11  03.04678  01 48 23.01   -07 31 48.2   24.4r 13VD72    W84  C~55OI      
2013 11  03.11037  01 48 22.68   -07 31 49.9         13VD72    W84  C~55OI      
2013 11  03.23022  01 48 22.09   -07 31 52.7         13VD72    W84  C~55OI      
2014 08  19.37229  02 00 55.066  -06 28 34.97  24.0r 13VD72    W84  C~55OI      
2014 09  24.28066  01 59 10.544  -06 53 57.81  23.7r 13VD72    W84  C~55OI      
2014 09  25.26736  01 59 06.332  -06 54 39.24  23.5i 13VD72    W84  C~55OI      
2014 11  16.14876  01 54 51.762  -07 21 33.05  23.2r 13VD72    W84  C~55OI      
2014 11  16.15011  01 54 51.736  -07 21 33.07  23.6i 13VD72    W84  C~55OI      
2016 10  27.18449  02 11 15.233  -06 44 30.64  24.3r 13VD72    W84  C~55OI      
2017 11  27.15881  02 16 00.568  -06 38 58.28  23.5i 13VD72    W84  C~55OI      
2017 12  10.06237  02 15 09.730  -06 39 30.32  23.6r 13VD72    W84  C~55OI      
2018 11  06.17638  02 24 52.992  -06 17 54.33  23.4i 13VD72    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     0.01       0.00    -0.16
     2   0.0000      0.00    -0.09       0.00    -0.02
     3   0.0816      0.00    -0.15       0.00     0.21
     4   0.0817      0.00    -0.24       0.00     0.05
     5   0.0821      0.00     0.08       0.00     0.12
     6   0.8737      0.00     0.07       0.00    -0.19
     7   0.9720      0.00     0.06       0.00    -0.11
     8   0.9747      0.00     0.02       0.00     0.06
     9   1.1168      0.00     0.38       0.00    -0.02
    10   1.1168      0.00     0.08       0.00    -0.02
    11   3.0635      0.00    -0.05       0.00     0.11
    12   4.1476      0.00    -0.32       0.00     0.10
    13   4.1829      0.00    -0.08       0.00    -0.06
    14   5.0895      0.00     0.26       0.00    -0.04

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.

13VD72    quality flag:3

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

axisobj        48.438    48.438    48.438
ecceobj         0.291     0.291     0.291
incobj         22.117    22.117    22.117
qmin           34.042    31.459    29.462
qmax           62.546    65.201    67.186
amean          47.794    47.795    47.796
amin           47.207    47.171    47.168
amax           48.478    48.602    48.636
emean           0.206     0.270     0.293
emin            0.155     0.191     0.187
emax            0.291     0.343     0.384
imean          23.971    21.635    20.210
imin           21.037    18.662    15.478
imax           25.121    24.221    24.325
excite_mean     0.456     0.460     0.459
fracstop        1.000     1.000     1.000
cjmean          2.882     2.881     2.882

libcent 0       180.9      97.3      97.8
libamp  0       158.2      72.4      71.3
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       197.6     211.5     251.8
kozaiamp        180.0     180.0     180.0