Orbit Fit and Astrometric record for 12UE178

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: 12UE178   
# Created Thu Sep 20 01:38:12 2018
# Orbit generated from Bernstein formalism
# Fitting   24 observations of   24
# Arc:   7.10y
# First observation: 2006/10/21
#  Last observation: 2013/11/26
Preliminary a, adot, b, bdot, g, gdot:
  -0.000190   0.020472  -0.000002   0.001243   0.023950   0.000000
# Chi-squared of fit:    39.55 DOF:   42 RMS:  0.23
# Min/Max residuals:    -0.49    0.54
# Exact a, adot, b, bdot, g, gdot:
  1.501522E-05  2.018552E-02  4.285661E-07  1.238964E-03  2.227992E-02 -9.527856E-05
# Covariance matrix:
  4.8468E-13 -1.8380E-13  6.0272E-15 -7.3154E-15 -1.1863E-13 -8.1669E-13
 -1.8380E-13  1.6661E-13 -7.6977E-15  9.3719E-15  1.6991E-13  1.0474E-12
  6.0272E-15 -7.6977E-15  3.9323E-13 -6.5700E-14 -5.8432E-15 -5.4386E-14
 -7.3154E-15  9.3719E-15 -6.5700E-14  1.3385E-14  7.7659E-15  6.5731E-14
 -1.1863E-13  1.6991E-13 -5.8432E-15  7.7659E-15  5.4402E-13  8.9296E-13
 -8.1669E-13  1.0474E-12 -5.4386E-14  6.5731E-14  8.9296E-13  7.3275E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   -2.352507   57.188299    0.490855   -0.035648   -0.870236  2454029.802244
# Heliocentric elements and errors
Epoch:              2454020.5000  =  2006/10/12
Mean Anomaly:          198.34652 +/-     0.139
Argument of Peri:      129.94214 +/-     0.136
Long of Asc Node:       89.97050 +/-     0.002
Inclination:             4.18756 +/-     0.000
Eccentricity:         0.05256772 +/-    0.0001
Semi-Major Axis:     43.56712033 +/-    0.0046
Time of Perihelion: 2501185.4393 +/-      40.0
Perihelion:          41.27689607 +/-    0.0057
Aphelion:            45.85734459 +/-    0.0060
Period (y)              287.5719 +/-      0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           25.18215614 +/-    0.0008
Ecliptic Y           38.15336263 +/-    0.0013
Ecliptic Z           -1.84232667 +/-    0.0001
Ecliptic XDOT        -0.00208275 +/-    0.0000
Ecliptic YDOT         0.00133506 +/-    0.0000
Ecliptic ZDOT         0.00015254 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   45.75165828 +/-    0.0011
Geocenter to KBO     44.88346380 +/-    0.0015
# Hcoef:  6.09

The following table shows the complete astrometric record for 12UE178. 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 (12UE178) followed by the observatory code and reference code for the source of the astrometry.

2006 10  21.301490 03 41 51.89   +17 14 23.4   22.7V 12UE178   645  C~2VVR      
2006 10  21.302319 03 41 51.89   +17 14 23.3   22.3V 12UE178   645  C~2VVR      
2006 10  21.304807 03 41 51.89   +17 14 23.4   24.1V 12UE178   645  C~2VVR      
2010 11  09.52784  03 59 14.834  +18 26 16.15  23.3w 12UE178   F51  C~1w3s      
2010 11  09.54599  03 59 14.751  +18 26 16.04  22.7w 12UE178   F51  C~1w3s      
2010 11  09.56427  03 59 14.677  +18 26 15.73  22.8w 12UE178   F51  C~1w3s      
2010 11  17.50102  03 58 37.786  +18 24 29.98  22.2i 12UE178   F51  C~1w3s      
2011 10  26.41810  04 05 01.863  +18 47 21.27  22.8w 12UE178   F51  C~1w3s      
2011 10  26.43261  04 05 01.791  +18 47 21.09  22.9w 12UE178   F51  C~1w3s      
2011 10  26.44713  04 05 01.733  +18 47 20.95  22.9w 12UE178   F51  C~1w3s      
2011 12  01.50631  04 02 17.756  +18 39 49.26  22.2r 12UE178   F51  C~1w3s      
2012 10  21.55906  04 10 03.924  +19 05 40.56  22.6w 12UE178   F51  C~1w3s      
2012 10  21.57510  04 10 03.847  +19 05 40.42  22.7w 12UE178   F51  C~1w3s      
2012 12  10.28457  04 06 19.637  +18 55 52.48  22.6w 12UE178   F51  C~1w3s      
2012 12  10.30010  04 06 19.566  +18 55 52.36  22.5w 12UE178   F51  C~1w3s      
2012 12  10.32572  04 06 19.430  +18 55 52.32  22.6w 12UE178   F51  C~1w3s      
2013 03  06.24020  04 03 41.992  +18 52 37.72  22.6w 12UE178   F51  C~1w3s      
2013 03  06.24575  04 03 41.992  +18 52 38.49  22.4w 12UE178   F51  C~1w3s      
2013 11  09.51954  04 13 33.717  +19 19 20.83  22.4w 12UE178   F51  C~1w3s      
2013 11  09.54975  04 13 33.579  +19 19 20.58  22.7w 12UE178   F51  C~1w3s      
2013 11  26.33368  04 12 14.614  +19 16 02.96  22.7w 12UE178   F51  C~1w3s      
2013 11  26.34897  04 12 14.547  +19 16 02.91  22.4w 12UE178   F51  C~1w3s      
2013 11  26.36430  04 12 14.464  +19 16 02.86  22.7w 12UE178   F51  C~1w3s      
2013 11  26.37967  04 12 14.394  +19 16 02.55  22.4w 12UE178   F51  C~1w3s      

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    -0.14       0.00     0.09
  2   0.0000     -0.02    -0.12      -0.10    -0.00
  3   0.0000      0.00     0.05       0.00     0.09
  4   4.0526  15498.99     0.34    1020.24    -0.14
  5   4.0527  15497.81     0.38    1020.37    -0.01
  6   4.0527  15496.71     0.52    1020.28    -0.11
  7   4.0745  14958.24     0.46    1023.44    -0.36
  8   5.0133  20624.63    -0.31    1280.32     0.09
  9   5.0134  20623.58    -0.49    1280.34     0.11
 10   5.0134  20622.74    -0.47    1280.37     0.14
 11   5.1121  18228.84    -0.05    1295.71    -0.07
 12   6.0021  25096.02     0.04    1541.34     0.01
 13   6.0021  25094.90    -0.18    1541.41     0.08
 14   6.1382  21819.50    -0.22    1569.38    -0.23
 15   6.1383  21818.48    -0.19    1569.46    -0.18
 16   6.1383  21816.56    -0.37    1569.79     0.10
 17   6.3735  19564.89    -0.06    1814.99    -0.20
 18   6.3736  19565.05    -0.06    1815.75     0.54
 19   7.0533  28219.94     0.18    1799.45     0.04
 20   7.0534  28217.94     0.21    1799.56     0.14
 21   7.0993  27062.30     0.05    1810.54    -0.14
 22   7.0994  27061.34     0.18    1810.67    -0.04
 23   7.0994  27060.15     0.09    1810.84     0.11
 24   7.0995  27059.10     0.14    1810.71    -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.

12UE178    quality flag:3

Type:      CLASSICAL CLASSICAL CLASSICAL

axisobj        44.086    44.100    44.072
ecceobj         0.040     0.040     0.041
incobj          4.176     4.176     4.176
qmin           41.105    41.113    41.059
qmax           46.718    46.685    46.670
amean          43.792    43.806    43.778
amin           43.457    43.468    43.436
amax           44.147    44.150    44.127
emean           0.042     0.042     0.041
emin            0.025     0.025     0.024
emax            0.058     0.058     0.058
imean           2.393     2.397     2.387
imin            1.671     1.680     1.658
imax            3.030     3.029     3.031
excite_mean     0.059     0.059     0.059
fracstop        1.000     1.000     1.000
cjmean          3.095     3.095     3.095

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       191.3     190.7     191.9
kozaiamp        180.0     179.9     179.9