Orbit Fit and Astrometric record for 13VE72

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: 13VE72    
# Created Fri Dec  3 02:12:17 2021
# Orbit generated from Bernstein formalism
# Fitting     19 observations of     19
# Arc:   4.91y
# First observation: 2013/10/13
#  Last observation: 2018/09/09
Preliminary a, adot, b, bdot, g, gdot:
   0.000201   0.033830  -0.000008  -0.002438   0.029551   0.000000
# Chi-squared of fit:     4.81 DOF:     32 RMS:  0.09
# Min/Max residuals:    -0.22    0.22
# Exact a, adot, b, bdot, g, gdot:
  1.844434E-05  3.478395E-02 -9.417367E-07 -2.488541E-03  3.002205E-02  6.722643E-03
# Covariance matrix:
  2.4250E-13 -1.3816E-13 -2.9252E-15  5.3851E-15 -4.7687E-15 -5.1974E-13
 -1.3816E-13  3.3072E-13  4.2581E-16 -2.1692E-14  3.3024E-13  1.9887E-12
 -2.9252E-15  4.2581E-16  1.9907E-13 -5.3818E-14 -1.1273E-14 -9.8529E-16
  5.3851E-15 -2.1692E-14 -5.3818E-14  2.5965E-14 -2.5828E-14 -1.4161E-13
 -4.7687E-15  3.3024E-13 -1.1273E-14 -2.5828E-14  7.1583E-13  2.2591E-12
 -5.1974E-13  1.9887E-12 -9.8529E-16 -1.4161E-13  2.2591E-12  1.2948E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
  -13.280429   15.045124   -0.080448   -0.228258   -0.967597  2456578.684578
# Heliocentric elements and errors
Epoch:              2456570.5000  =  2013/10/05
Mean Anomaly:           30.15277 +/-     0.010
Argument of Peri:      199.55233 +/-     0.022
Long of Asc Node:      123.22749 +/-     0.001
Inclination:            13.54153 +/-     0.000
Eccentricity:         0.28316245 +/-    0.0001
Semi-Major Axis:     43.63367854 +/-    0.0048
Time of Perihelion: 2447752.7873 +/-       2.6
Perihelion:          31.27825933 +/-    0.0050
Aphelion:            55.98909775 +/-    0.0071
Period (y)              288.2312 +/-      0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           32.24537843 +/-    0.0009
Ecliptic Y            8.75384775 +/-    0.0002
Ecliptic Z           -7.65168717 +/-    0.0002
Ecliptic XDOT        -0.00030371 +/-    0.0000
Ecliptic YDOT         0.00320328 +/-    0.0000
Ecliptic ZDOT        -0.00036157 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   34.27743568 +/-    0.0008
Geocenter to KBO     33.30884776 +/-    0.0009
# Hcoef:  7.77

The following table shows the complete astrometric record for 13VE72. 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 (13VE72) followed by the observatory code and reference code for the source of the astrometry.

2013 10  13.18380  01 15 53.916  -06 19 50.74  22.9z 13VE72    W84  C~55OI      
2013 10  13.18826  01 15 53.893  -06 19 50.82  22.4z 13VE72    W84  C~55OI      
2013 11  03.04067  01 14 04.65   -06 29 12.0         13VE72    W84  C~55OI      
2013 11  03.10486  01 14 04.33   -06 29 13.2   23.4r 13VE72    W84  C~55OI      
2013 11  03.19580  01 14 03.88   -06 29 15.1         13VE72    W84  C~55OI      
2014 08  18.34894  01 27 23.786  -05 06 31.45  22.8z 13VE72    W84  C~55OI      
2014 10  02.23090  01 24 26.614  -05 35 08.72  22.8z 13VE72    W84  C~55OI      
2014 10  30.21671  01 21 58.294  -05 49 37.98  23.1r 13VE72    W84  C~55OI      
2014 12  12.06013  01 19 10.191  -05 55 34.26  22.9r 13VE72    W84  C~55OI      
2016 11  07.14505  01 35 59.721  -04 37 12.04  23.0i 13VE72    W84  C~55OI      
2016 11  25.07957  01 34 38.903  -04 41 10.65  23.6r 13VE72    W84  C~55OI      
2016 11  26.14311  01 34 34.734  -04 41 17.34  23.1r 13VE72    W84  C~55OI      
2016 12  07.09388  01 33 57.031  -04 41 35.63  22.7z 13VE72    W84  C~55OI      
2016 12  07.09526  01 33 57.023  -04 41 35.61  22.8i 13VE72    W84  C~55OI      
2017 09  25.36329  01 46 52.369  -03 37 59.39  23.7r 13VE72    W84  C~55OI      
2017 10  30.20852  01 43 53.158  -03 56 46.27  22.7z 13VE72    W84  C~55OI      
2018 09  09.28520  01 55 01.473  -02 50 53.71  23.3r 13VE72    W84  C~55OI      
2018 09  09.28657  01 55 01.469  -02 50 53.76  23.1i 13VE72    W84  C~55OI      
2018 09  09.28794  01 55 01.470  -02 50 53.80  24.4g 13VE72    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    -0.03       0.00    -0.08
     2   0.0000     -0.35     0.02       0.06    -0.02
     3   0.0571  -1719.19    -0.09     111.11    -0.08
     4   0.0573  -1724.06    -0.00     111.84     0.01
     5   0.0575  -1730.98     0.09     112.67    -0.07
     6   0.8464  11207.69     0.10      48.95     0.03
     7   0.9693   8094.26     0.01    -498.92    -0.07
     8   1.0459   5714.05    -0.17    -436.94     0.22
     9   1.1632   3263.18     0.07     209.40     0.15
    10   3.0690  19033.27    -0.08   -1365.88    -0.01
    11   3.1181  17819.00    -0.04   -1107.81     0.03
    12   3.1210  17758.63     0.04   -1089.33     0.05
    13   3.1510  17229.44     0.08    -883.45     0.02
    14   3.1510  17229.34     0.03    -883.39     0.06
    15   3.9512  29552.87    -0.17   -1977.60    -0.22
    16   4.0466  26589.57     0.08   -1944.99    -0.17
    17   4.9065  37606.53    -0.02   -2313.75     0.06
    18   4.9065  37606.45    -0.01   -2313.77     0.05
    19   4.9065  37606.45     0.08   -2313.82     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.

13VE72    quality flag:2

Type:       SCATNEAR  SCATNEAR    7:4EEE

axisobj        43.945    43.961    43.930
ecceobj         0.289     0.289     0.288
incobj         13.534    13.534    13.534
qmin           30.952    30.758    30.945
qmax           57.060    57.302    57.129
amean          43.726    43.726    43.726
amin           43.271    43.290    43.238
amax           44.267    44.253    44.297
emean           0.217     0.237     0.244
emin            0.113     0.085     0.155
emax            0.291     0.296     0.292
imean          15.951    14.768    14.760
imin           11.972    11.971    11.973
imax           19.395    19.570    18.570
excite_mean     0.355     0.354     0.356
fracstop        1.000     1.000     1.000
cjmean          2.946     2.947     2.946

libcent 0      -180.0    -180.0     179.2
libamp  0      -180.0    -180.0     117.7
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       195.3     236.9     242.4
kozaiamp        180.0     180.0     180.0