Orbit Fit and Astrometric record for 13MB12

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: 13MB12    
# Created Sat Dec  4 02:11:45 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     54 observations of     54
# Arc:   7.34y
# First observation: 2013/06/20
#  Last observation: 2020/10/22
# Chi-squared of fit:    26.36 DOF:    102 RMS:  0.12
# Min/Max residuals:    -0.38    0.45
# Exact a, adot, b, bdot, g, gdot:
  2.707996E-05  1.049832E-01 -7.583771E-06 -2.517812E-02  6.348507E-02  2.669035E-02
# Covariance matrix:
  1.7770E-13 -4.2475E-14 -8.1704E-15  1.3072E-14  1.0647E-13 -7.2146E-14
 -4.2475E-14  8.3740E-14  9.3134E-15 -2.2133E-14  9.1451E-15  1.2272E-13
 -8.1704E-15  9.3134E-15  9.8177E-14 -1.6935E-14 -6.5172E-15  1.6129E-14
  1.3072E-14 -2.2133E-14 -1.6935E-14  9.2939E-15  5.6761E-15 -3.5738E-14
  1.0647E-13  9.1451E-15 -6.5172E-15  5.6761E-15  1.7068E-13 -3.0948E-14
 -7.2146E-14  1.2272E-13  1.6129E-14 -3.5738E-14 -3.0948E-14  1.9803E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
    5.372419  -39.744608    0.792293    0.059967   -0.637552  2456464.079148
# Heliocentric elements and errors
Epoch:              2456464.5000  =  2013/06/21
Mean Anomaly:           23.75062 +/-     0.002
Argument of Peri:      110.97749 +/-     0.002
Long of Asc Node:      158.68015 +/-     0.000
Inclination:            14.01613 +/-     0.000
Eccentricity:         0.33055401 +/-    0.0000
Semi-Major Axis:     22.55361012 +/-    0.0009
Time of Perihelion: 2453883.4589 +/-       0.3
Perihelion:          15.09842375 +/-    0.0008
Aphelion:            30.00879649 +/-    0.0013
Period (y)              107.1106 +/-      0.01
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           12.04464796 +/-    0.0001
Ecliptic Y          -11.04266063 +/-    0.0001
Ecliptic Z            1.47475615 +/-    0.0000
Ecliptic XDOT         0.00384776 +/-    0.0000
Ecliptic YDOT         0.00268307 +/-    0.0000
Ecliptic ZDOT        -0.00097315 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   16.40689024 +/-    0.0001
Geocenter to KBO     15.75165911 +/-    0.0001
# Hcoef: 10.24

The following table shows the complete astrometric record for 13MB12. 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 (13MB12) followed by the observatory code and reference code for the source of the astrometry.

2013 06  20.57837  21 23 45.208  -09 37 52.24  22.9w 13MB12    F51  C~1w3u      
2013 06  20.59141  21 23 45.186  -09 37 52.64  22.6w 13MB12    F51  C~1w3u      
2013 07  15.46593  21 20 45.184  -09 52 49.26  22.5w 13MB12    F51  C~1w3u      
2013 07  15.48029  21 20 45.081  -09 52 50.06  22.6w 13MB12    F51  C~1w3u      
2013 07  15.49460  21 20 44.943  -09 52 50.70  22.6w 13MB12    F51  C~1w3u      
2013 07  15.50890  21 20 44.826  -09 52 51.65  22.5w 13MB12    F51  C~1w3u      
2013 08  08.44678  21 16 47.450  -10 15 24.04  22.2w 13MB12    F51  C~1w3u      
2013 08  08.46083  21 16 47.318  -10 15 25.37  22.5w 13MB12    F51  C~1w3u      
2013 08  08.47485  21 16 47.168  -10 15 25.73  22.2w 13MB12    F51  C~1w3u      
2013 08  15.37250  21 15 35.515  -10 22 47.70  22.1i 13MB12    F51  C~1w3u      
2013 08  15.38455  21 15 35.376  -10 22 48.70  21.8i 13MB12    F51  C~1w3u      
2013 08  30.33252  21 13 06.801  -10 39 09.38  22.4w 13MB12    F51  C~1w3u      
2013 08  30.34653  21 13 06.672  -10 39 10.43  22.7w 13MB12    F51  C~1w3u      
2013 08  30.36053  21 13 06.549  -10 39 11.36  22.6w 13MB12    F51  C~1w3u      
2013 08  30.37454  21 13 06.402  -10 39 12.19  22.3w 13MB12    F51  C~1w3u      
2016 08  12.201111 22 27 40.54   -08 29 40.8         13MB12    W84  C~4qKL      
2016 08  12.202361 22 27 40.52   -08 29 41.0         13MB12    W84  C~4qKL      
2017 11  12.022280 22 38 32.74   -09 08 43.4         13MB12    W84  C~4qKL      
2017 11  12.024005 22 38 32.72   -09 08 43.2         13MB12    W84  C~4qKL      
2018 06  14.595694 23 12 39.65   -06 23 45.0         13MB12    568  C~4qKL      
2018 06  14.597524 23 12 39.65   -06 23 45.1         13MB12    568  C~4qKL      
2018 06  14.599421 23 12 39.64   -06 23 45.2         13MB12    568  C~4qKL      
2018 10  06.992859 23 01 14.78   -08 02 39.1         13MB12    W84  C~4qKL      
2018 10  06.994606 23 01 14.74   -08 02 39.4         13MB12    W84  C~4qKL      
2020 10  22.00865  23 36 55.14   -06 43 33.8   23.8V 13MB12    W84  C~4qKL      
2020 10  22.01037  23 36 55.14   -06 43 33.9   23.9V 13MB12    W84  C~4qKL      
2020 10  22.01459  23 36 55.12   -06 43 34.1         13MB12    W84  C~4qKL      
2020 10  22.02322  23 36 55.05   -06 43 34.5         13MB12    W84  C~4qKL      
2020 10  22.03010  23 36 55.00   -06 43 34.7         13MB12    W84  C~4qKL      
2020 10  22.03699  23 36 54.96   -06 43 35.2         13MB12    W84  C~4qKL      
2020 10  22.03871  23 36 54.94   -06 43 35.2         13MB12    W84  C~4qKL      
2020 10  22.04387  23 36 54.91   -06 43 35.4         13MB12    W84  C~4qKL      
2020 10  22.05763  23 36 54.82   -06 43 36.1         13MB12    W84  C~4qKL      
2020 10  22.06108  23 36 54.80   -06 43 36.1         13MB12    W84  C~4qKL      
2020 10  22.06454  23 36 54.77   -06 43 36.3         13MB12    W84  C~4qKL      
2020 10  22.06628  23 36 54.76   -06 43 36.5         13MB12    W84  C~4qKL      
2020 10  22.06971  23 36 54.74   -06 43 36.6         13MB12    W84  C~4qKL      
2020 10  22.08864  23 36 54.61   -06 43 37.6         13MB12    W84  C~4qKL      
2020 10  22.09208  23 36 54.59   -06 43 37.6         13MB12    W84  C~4qKL      
2020 10  22.09774  23 36 54.55   -06 43 37.8         13MB12    W84  C~4qKL      
2020 10  22.09946  23 36 54.54   -06 43 37.9         13MB12    W84  C~4qKL      
2020 10  22.10633  23 36 54.49   -06 43 38.2         13MB12    W84  C~4qKL      
2020 10  22.11323  23 36 54.44   -06 43 38.5         13MB12    W84  C~4qKL      
2020 10  22.11667  23 36 54.42   -06 43 38.7         13MB12    W84  C~4qKL      
2020 10  22.12011  23 36 54.40   -06 43 38.8         13MB12    W84  C~4qKL      
2020 10  22.12182  23 36 54.39   -06 43 38.9         13MB12    W84  C~4qKL      
2020 10  22.12525  23 36 54.36   -06 43 39.0         13MB12    W84  C~4qKL      
2020 10  22.12699  23 36 54.35   -06 43 39.1         13MB12    W84  C~4qKL      
2020 10  22.14421  23 36 54.23   -06 43 39.9         13MB12    W84  C~4qKL      
2020 10  22.14937  23 36 54.20   -06 43 40.2         13MB12    W84  C~4qKL      
2020 10  22.15453  23 36 54.16   -06 43 40.4         13MB12    W84  C~4qKL      
2020 10  22.16141  23 36 54.12   -06 43 40.8         13MB12    W84  C~4qKL      
2020 10  22.16828  23 36 54.08   -06 43 41.0         13MB12    W84  C~4qKL      
2020 10  22.17172  23 36 54.05   -06 43 41.2         13MB12    W84  C~4qKL      

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    -0.27       0.00     0.20
     2   0.0000      0.00     0.45       0.00     0.09
     3   0.0681      0.00    -0.27       0.00     0.10
     4   0.0682      0.00     0.17       0.00    -0.00
     5   0.0682      0.00     0.07       0.00     0.05
     6   0.0683      0.00     0.30       0.00    -0.21
     7   0.1338      0.00    -0.18       0.00     0.16
     8   0.1338      0.00     0.08       0.00    -0.28
     9   0.1339      0.00     0.07       0.00     0.24
    10   0.1528      0.00     0.13       0.00     0.18
    11   0.1528      0.00    -0.05       0.00    -0.04
    12   0.1937      0.00    -0.20       0.00    -0.01
    13   0.1938      0.00    -0.12       0.00    -0.14
    14   0.1938      0.00     0.06       0.00    -0.15
    15   0.1938      0.00    -0.13       0.00    -0.07
    16   3.1448      0.00     0.02       0.00     0.05
    17   3.1448      0.00    -0.11       0.00    -0.07
    18   4.3955      0.00     0.39       0.00    -0.07
    19   4.3955      0.00     0.10       0.00     0.15
    20   4.9829      0.00     0.06       0.00     0.03
    21   4.9829      0.00     0.01       0.00    -0.06
    22   4.9829      0.00    -0.19       0.00    -0.16
    23   5.2961      0.00     0.02       0.00     0.01
    24   5.2961      0.00    -0.38       0.00    -0.19
    25   7.3386      0.00    -0.15       0.00     0.04
    26   7.3386      0.00     0.02       0.00     0.01
    27   7.3386      0.00     0.15       0.00     0.00
    28   7.3387      0.00    -0.03       0.00    -0.01
    29   7.3387      0.00    -0.08       0.00     0.10
    30   7.3387      0.00     0.02       0.00    -0.09
    31   7.3387      0.00    -0.11       0.00    -0.01
    32   7.3387      0.00    -0.03       0.00     0.02
    33   7.3388      0.00     0.01       0.00    -0.06
    34   7.3388      0.00     0.06       0.00     0.10
    35   7.3388      0.00    -0.04       0.00     0.06
    36   7.3388      0.00    -0.01       0.00    -0.07
    37   7.3388      0.00     0.03       0.00    -0.01
    38   7.3388      0.00     0.00       0.00    -0.16
    39   7.3388      0.00     0.05       0.00    -0.01
    40   7.3389      0.00     0.02       0.00     0.05
    41   7.3389      0.00     0.05       0.00     0.03
    42   7.3389      0.00    -0.01       0.00     0.03
    43   7.3389      0.00    -0.06       0.00     0.04
    44   7.3389      0.00    -0.01       0.00    -0.00
    45   7.3389      0.00     0.04       0.00     0.05
    46   7.3389      0.00     0.06       0.00     0.03
    47   7.3389      0.00    -0.04       0.00     0.08
    48   7.3389      0.00    -0.01       0.00     0.06
    49   7.3390      0.00    -0.07       0.00     0.03
    50   7.3390      0.00    -0.00       0.00    -0.04
    51   7.3390      0.00    -0.08       0.00    -0.01
    52   7.3390      0.00     0.02       0.00    -0.10
    53   7.3391      0.00     0.11       0.00     0.01
    54   7.3391      0.00     0.01       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.

13MB12    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        22.479    22.479    22.479
ecceobj         0.329     0.329     0.329
incobj         14.018    14.018    14.018
qmin           14.805    13.695    14.867
qmax           30.884    30.637    30.371
amean          22.651    22.184    22.558
amin           22.378    21.624    22.353
amax           23.529    22.667    22.873
emean           0.330     0.345     0.325
emin            0.304     0.322     0.295
emax            0.340     0.370     0.339
imean          13.544    13.618    13.924
imin           13.083    12.763    13.083
imax           14.511    15.127    15.407
excite_mean     0.405     0.418     0.405
fracstop        0.004     0.011     0.005
cjmean          2.924     2.924     2.926

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       135.8     183.0     140.3
kozaiamp         24.2      75.8      29.5