Orbit Fit and Astrometric record for 12BZ154

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: 12BZ154   
# Created Mon Oct 23 01:37:59 2017
# Orbit generated from Bernstein formalism
# Fitting   18 observations of   18
# Arc:   3.00y
# First observation: 2011/01/25
#  Last observation: 2014/01/26
Preliminary a, adot, b, bdot, g, gdot:
   0.000029   0.032863   0.000001  -0.016299   0.029046   0.000000
# Chi-squared of fit:     8.74 DOF:   30 RMS:  0.12
# Min/Max residuals:    -0.38    0.21
# Exact a, adot, b, bdot, g, gdot:
  1.908397E-05  3.292561E-02 -8.704761E-06 -1.632750E-02  2.842014E-02  1.088312E-03
# Covariance matrix:
  3.3737E-13 -2.9658E-13 -2.4953E-14  8.1702E-14  8.8779E-14 -1.8902E-12
 -2.9658E-13  6.5875E-13  8.7541E-14 -2.8700E-13  2.9491E-13  6.6316E-12
 -2.4953E-14  8.7541E-14  2.9748E-13 -1.7834E-13  4.5214E-14  1.0191E-12
  8.1702E-14 -2.8700E-13 -1.7834E-13  2.3370E-13 -1.5077E-13 -3.3411E-12
  8.8779E-14  2.9491E-13  4.5214E-14 -1.5077E-13  4.3688E-12  3.4286E-12
 -1.8902E-12  6.6316E-12  1.0191E-12 -3.3411E-12  3.4286E-12  7.7204E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   -0.129359  108.990706   -0.272923   -0.002138   -0.948855  2455586.859926
# Heliocentric elements and errors
Epoch:              2455580.5000  =  2011/01/19
Mean Anomaly:            1.61289 +/-     0.010
Argument of Peri:      174.01448 +/-     0.039
Long of Asc Node:      289.16368 +/-     0.000
Inclination:            26.38927 +/-     0.000
Eccentricity:         0.53234240 +/-    0.0003
Semi-Major Axis:     77.10599077 +/-    0.0598
Time of Perihelion: 2454472.5183 +/-       6.9
Perihelion:          36.05920291 +/-    0.0379
Aphelion:           118.15277864 +/-    0.0952
Period (y)              677.0806 +/-      0.79
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -12.01344093 +/-    0.0008
Ecliptic Y           34.07870503 +/-    0.0024
Ecliptic Z           -0.07976737 +/-    0.0000
Ecliptic XDOT        -0.00303324 +/-    0.0000
Ecliptic YDOT        -0.00093030 +/-    0.0000
Ecliptic ZDOT        -0.00157313 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   36.13429482 +/-    0.0023
Geocenter to KBO     35.18631328 +/-    0.0026
# Hcoef:  6.94

The following table shows the complete astrometric record for 12BZ154. 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 (12BZ154) followed by the observatory code and reference code for the source of the astrometry.

2011 01  25.35916  07 22 09.962  +21 57 57.15  22.0i 12BZ154   F51  C~1w3p      
2011 01  30.30080  07 21 41.846  +21 58 06.56  22.8w 12BZ154   F51  C~1w3p      
2011 01  30.31606  07 21 41.749  +21 58 06.49  22.5w 12BZ154   F51  C~1w3p      
2011 01  30.33041  07 21 41.660  +21 58 06.81  22.8w 12BZ154   F51  C~1w3p      
2012 01  24.33521  07 29 42.854  +20 45 58.36  22.1r 12BZ154   F51  C~1w3p      
2012 01  25.29676  07 29 37.256  +20 46 01.79  21.8i 12BZ154   F51  C~1w3p      
2012 01  25.31002  07 29 37.191  +20 46 01.93  21.9i 12BZ154   F51  C~1w3p      
2013 01  17.47406  07 37 36.138  +19 32 34.29  22.4w 12BZ154   F51  C~1w3p      
2013 01  17.48934  07 37 36.047  +19 32 34.44  22.2w 12BZ154   F51  C~1w3p      
2013 01  17.50465  07 37 35.964  +19 32 34.28  22.4w 12BZ154   F51  C~1w3p      
2013 01  17.52006  07 37 35.863  +19 32 34.45  22.2w 12BZ154   F51  C~1w3p      
2013 01  21.51129  07 37 12.333  +19 32 54.30  21.6i 12BZ154   F51  C~1w3p      
2013 02  10.40745  07 35 22.686  +19 34 28.18  22.5w 12BZ154   F51  C~1w3p      
2013 02  10.42279  07 35 22.608  +19 34 27.72  22.8w 12BZ154   F51  C~1w3p      
2013 02  10.43827  07 35 22.509  +19 34 28.16  22.4w 12BZ154   F51  C~1w3p      
2013 02  10.45370  07 35 22.435  +19 34 28.25  22.3w 12BZ154   F51  C~1w3p      
2014 01  26.33708  07 43 55.133  +18 19 39.99  22.0w 12BZ154   F51  C~1w3p      
2014 01  26.34898  07 43 55.065  +18 19 40.17  22.2w 12BZ154   F51  C~1w3p      

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    -0.16       0.00    -0.08
  2   0.0135   -388.62     0.19     -45.12    -0.03
  3   0.0136   -389.95     0.06     -45.38    -0.15
  4   0.0136   -391.22    -0.08     -45.24     0.13
  5   0.9965   6890.77     0.00   -3353.35     0.18
  6   0.9991   6812.55    -0.07   -3361.83     0.09
  7   0.9992   6811.63     0.10   -3361.83     0.21
  8   1.9798  14189.28    -0.05   -6664.85    -0.02
  9   1.9798  14187.97    -0.05   -6664.91     0.06
 10   1.9799  14186.84     0.12   -6665.26    -0.15
 11   1.9799  14185.39    -0.02   -6665.32    -0.07
 12   1.9908  13852.32    -0.00   -6699.66    -0.11
 13   2.0453  12300.80     0.07   -6855.69     0.14
 14   2.0453  12299.78     0.16   -6856.32    -0.38
 15   2.0454  12298.32    -0.18   -6856.11    -0.05
 16   2.0454  12297.27    -0.11   -6856.18    -0.00
 17   3.0034  20276.93     0.02  -10104.19     0.06
 18   3.0034  20275.93     0.02  -10104.18     0.16

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.

12BZ154    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        77.924    78.105    77.743
ecceobj         0.537     0.538     0.536
incobj         26.361    26.361    26.361
qmin           33.858    33.901    33.941
qmax          123.193   123.093   123.316
amean          77.077    77.118    77.294
amin           75.849    75.655    76.031
amax           78.870    78.924    79.008
emean           0.541     0.541     0.542
emin            0.522     0.522     0.523
emax            0.562     0.560     0.561
imean          27.141    27.158    27.193
imin           26.107    26.179    26.217
imax           28.243    28.269    28.212
excite_mean     0.708     0.708     0.709
fracstop        1.000     1.000     1.000
cjmean          2.784     2.785     2.784

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       193.8     195.0     198.1
kozaiamp        180.0     180.0     180.0