Orbit Fit and Astrometric record for 12WG37

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: 12WG37    
# Created Fri Dec  3 02:11:29 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     29 observations of     29
# Arc:   5.03y
# First observation: 2012/11/19
#  Last observation: 2017/11/29
# Chi-squared of fit:    15.93 DOF:     52 RMS:  0.13
# Min/Max residuals:    -0.32    0.42
# Exact a, adot, b, bdot, g, gdot:
  1.391683E-05  1.711120E-02 -2.313703E-07  1.418046E-03  2.059508E-02 -6.421105E-03
# Covariance matrix:
  6.4987E-13 -4.1067E-13  2.9132E-14 -2.7452E-14 -2.0975E-13 -3.2146E-12
 -4.1067E-13  3.5711E-13 -2.7862E-14  2.7151E-14  1.6698E-13  3.1905E-12
  2.9132E-14 -2.7862E-14  3.0936E-13 -7.8636E-14 -2.0113E-14 -2.6950E-13
 -2.7452E-14  2.7151E-14 -7.8636E-14  2.4758E-14  1.5088E-14  2.5986E-13
 -2.0975E-13  1.6698E-13 -2.0113E-14  1.5088E-14  2.8994E-13  1.7187E-12
 -3.2146E-12  3.1905E-12 -2.6950E-13  2.5986E-13  1.7187E-12  3.0503E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
  -13.721580   36.857445   -0.339378   -0.219358   -0.898759  2456250.619632
# Heliocentric elements and errors
Epoch:              2456250.5000  =  2012/11/19
Mean Anomaly:          289.28953 +/-     0.051
Argument of Peri:       40.11030 +/-     0.018
Long of Asc Node:      107.10980 +/-     0.002
Inclination:            14.30965 +/-     0.000
Eccentricity:         0.34417013 +/-    0.0003
Semi-Major Axis:     49.33114492 +/-    0.0113
Time of Perihelion: 2481108.2295 +/-      39.1
Perihelion:          32.35283847 +/-    0.0154
Aphelion:            66.30945138 +/-    0.0203
Period (y)              346.4894 +/-      0.12
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           38.27955928 +/-    0.0010
Ecliptic Y           29.12289941 +/-    0.0008
Ecliptic Z          -11.51757611 +/-    0.0003
Ecliptic XDOT        -0.00199824 +/-    0.0000
Ecliptic YDOT         0.00135126 +/-    0.0000
Ecliptic ZDOT         0.00038574 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   49.45852551 +/-    0.0009
Geocenter to KBO     48.55556067 +/-    0.0013
# Hcoef:  6.50

The following table shows the complete astrometric record for 12WG37. 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 (12WG37) followed by the observatory code and reference code for the source of the astrometry.

2012 11  19.118854 02 35 55.05   +00 48 40.2   23.4r 12WG37    W84  C~35bM      
2013 11  23.21586  02 39 18.771  +01 11 24.72  23.3i 12WG37    W84  C~4yPO      
2013 12  01.19973  02 38 48.925  +01 10 11.99  23.7r 12WG37    W84  C~4yPO      
2013 12  01.19973  02 38 48.92   +01 10 12.0   23.7r 12WG37    W84  C~3cjt      
2013 12  20.14218  02 37 49.111  +01 09 20.06  22.8i 12WG37    W84  C~4yPO      
2014 09  24.30049  02 46 48.934  +01 55 00.56  23.5r 12WG37    W84  C~4yPO      
2014 09  24.30049  02 46 48.93   +01 55 00.6   23.6r 12WG37    W84  C~3cjt      
2014 09  30.31171  02 46 30.795  +01 52 36.83  22.8i 12WG37    W84  C~4yPO      
2014 09  30.31171  02 46 30.80   +01 52 36.8   22.9i 12WG37    W84  C~3cjt      
2016 09  23.29149  02 54 22.183  +02 43 26.84  23.0z 12WG37    W84  C~4yPO      
2016 09  23.29285  02 54 22.170  +02 43 26.79  22.8i 12WG37    W84  C~4yPO      
2016 09  23.29285  02 54 22.17   +02 43 26.8   23.0i 12WG37    W84  C~3cjt      
2016 09  24.29835  02 54 19.376  +02 43 03.25  23.5r 12WG37    W84  C~4yPO      
2016 09  25.27517  02 54 16.608  +02 42 40.48  23.9g 12WG37    W84  C~4yPO      
2016 10  26.224248 02 52 25.66   +02 30 58.9   23.1r 12WG37    W84  C~35bM      
2016 10  26.22477  02 52 25.659  +02 30 58.96  22.6r 12WG37    W84  C~4yPO      
2016 11  19.17910  02 50 45.682  +02 24 09.16  22.4i 12WG37    W84  C~4yPO      
2016 11  19.17910  02 50 45.68   +02 24 09.3   22.8i 12WG37    W84  C~3cjt      
2016 11  25.140394 02 50 21.58   +02 22 58.7   23.1i 12WG37    W84  C~35bM      
2016 11  25.14091  02 50 21.601  +02 22 58.54  23.1i 12WG37    W84  C~4yPO      
2016 12  21.13025  02 48 51.701  +02 20 56.63  24.0r 12WG37    W84  C~4yPO      
2016 12  21.13025  02 48 51.70   +02 20 56.6   23.9r 12WG37    W84  C~3cjt      
2017 09  18.330278 02 58 25.66   +03 09 56.6   23.2i 12WG37    W84  C~35bM      
2017 09  18.33080  02 58 25.660  +03 09 56.57  23.2i 12WG37    W84  C~4yPO      
2017 09  24.386597 02 58 10.01   +03 07 37.6   23.3r 12WG37    W84  C~35bM      
2017 10  29.297407 02 56 04.54   +02 54 36.6   24.0g 12WG37    W84  C~35bM      
2017 10  29.29793  02 56 04.550  +02 54 36.62  23.5g 12WG37    W84  C~4yPO      
2017 10  30.24911  02 56 00.554  +02 54 17.94  23.1z 12WG37    W84  C~4yPO      
2017 11  29.15750  02 53 56.124  +02 46 52.76  23.1z 12WG37    W84  C~4yPO      

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    -0.24       0.00     0.21
     2   1.0105      0.00     0.06       0.00    -0.02
     3   1.0324      0.00     0.00       0.00    -0.07
     4   1.0324      0.00     0.08       0.00    -0.08
     5   1.0843      0.00     0.14       0.00    -0.11
     6   1.8458      0.00     0.01       0.00    -0.00
     7   1.8458      0.00    -0.05       0.00     0.04
     8   1.8623      0.00     0.19       0.00    -0.10
     9   1.8623      0.00     0.12       0.00    -0.07
    10   3.8444      0.00     0.03       0.00     0.04
    11   3.8444      0.00    -0.11       0.00     0.04
    12   3.8444      0.00    -0.11       0.00     0.03
    13   3.8472      0.00    -0.01       0.00     0.01
    14   3.8498      0.00     0.11       0.00     0.15
    15   3.9346      0.00     0.09       0.00     0.02
    16   3.9346      0.00     0.11       0.00     0.09
    17   4.0002      0.00    -0.20       0.00     0.14
    18   4.0002      0.00    -0.17       0.00     0.00
    19   4.0165      0.00    -0.32       0.00     0.10
    20   4.0165      0.00     0.03       0.00    -0.05
    21   4.0876      0.00    -0.07       0.00    -0.04
    22   4.0876      0.00    -0.05       0.00    -0.01
    23   4.8301      0.00    -0.15       0.00    -0.02
    24   4.8301      0.00    -0.13       0.00    -0.04
    25   4.8467      0.00    -0.12       0.00     0.10
    26   4.9423      0.00     0.23       0.00    -0.12
    27   4.9423      0.00     0.42       0.00    -0.09
    28   4.9449      0.00    -0.12       0.00     0.00
    29   5.0268      0.00     0.34       0.00    -0.09

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.

12WG37    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        49.425    49.425    49.426
ecceobj         0.341     0.341     0.341
incobj         14.316    14.316    14.316
qmin           30.916    31.021    30.844
qmax           70.383    73.859    79.403
amean          49.347    50.589    51.171
amin           47.950    47.965    47.869
amax           51.667    53.424    55.673
emean           0.346     0.357     0.374
emin            0.315     0.319     0.324
emax            0.371     0.388     0.433
imean          12.976    12.862    12.588
imin           10.797    10.456    10.658
imax           14.929    14.902    15.241
excite_mean     0.413     0.421     0.433
fracstop        1.000     1.000     1.000
cjmean          2.951     2.956     2.947

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       184.5     176.8     176.5
kozaiamp        179.9     180.0     179.9