Orbit Fit and Astrometric record for 12UC178

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: 12UC178   
# Created Sat Dec 16 02:37:51 2017
# Orbit generated from Bernstein formalism
# Fitting   17 observations of   17
# Arc:   3.13y
# First observation: 2010/10/09
#  Last observation: 2013/11/24
Preliminary a, adot, b, bdot, g, gdot:
   0.000028   0.028269  -0.000000  -0.000741   0.026836   0.000000
# Chi-squared of fit:     8.62 DOF:   28 RMS:  0.13
# Min/Max residuals:    -0.34    0.27
# Exact a, adot, b, bdot, g, gdot:
  1.658076E-05  2.841461E-02  6.253778E-08 -7.452382E-04  2.688047E-02  4.270659E-03
# Covariance matrix:
  3.6674E-13 -3.2885E-13 -1.4231E-15  5.5499E-15 -1.5423E-13 -2.5658E-12
 -3.2885E-13  1.1133E-12  6.9865E-15 -2.6783E-14  1.0321E-12  1.2590E-11
 -1.4231E-15  6.9865E-15  3.2686E-13 -1.3072E-13  5.1214E-15  9.1643E-14
  5.5499E-15 -2.6783E-14 -1.3072E-13  7.1847E-14 -1.7823E-14 -3.5862E-13
 -1.5423E-13  1.0321E-12  5.1214E-15 -1.7823E-14  1.8313E-12  9.2037E-12
 -2.5658E-12  1.2590E-11  9.1643E-14 -3.5862E-13  9.2037E-12  1.6525E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
   -1.962272   50.502839    0.563731   -0.028103   -0.819729  2455478.923186
# Heliocentric elements and errors
Epoch:              2455470.5000  =  2010/10/01
Mean Anomaly:           44.30990 +/-     0.044
Argument of Peri:      171.24479 +/-     0.086
Long of Asc Node:      178.19743 +/-     0.010
Inclination:             2.45399 +/-     0.000
Eccentricity:         0.17060102 +/-    0.0004
Semi-Major Axis:     42.48499011 +/-    0.0092
Time of Perihelion: 2443021.0553 +/-      11.7
Perihelion:          35.23700744 +/-    0.0196
Aphelion:            49.73297278 +/-    0.0211
Period (y)              276.9246 +/-      0.09
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           24.60833341 +/-    0.0012
Ecliptic Y           28.96362786 +/-    0.0014
Ecliptic Z           -1.27383557 +/-    0.0001
Ecliptic XDOT        -0.00195827 +/-    0.0000
Ecliptic YDOT         0.00218058 +/-    0.0000
Ecliptic ZDOT        -0.00009077 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   38.02741734 +/-    0.0013
Geocenter to KBO     37.20172814 +/-    0.0019
# Hcoef:  6.62

The following table shows the complete astrometric record for 12UC178. 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 (12UC178) followed by the observatory code and reference code for the source of the astrometry.

2010 10  09.42242  03 14 25.544  +15 58 58.62  23.1w 12UC178   F51  C~1w3s      
2010 10  09.43851  03 14 25.471  +15 58 58.55  22.9w 12UC178   F51  C~1w3s      
2010 10  09.45463  03 14 25.400  +15 58 58.19  22.5w 12UC178   F51  C~1w3s      
2010 10  09.47073  03 14 25.329  +15 58 57.85  22.7w 12UC178   F51  C~1w3s      
2012 10  21.54866  03 26 37.913  +16 39 49.75  22.5w 12UC178   F51  C~1w3s      
2012 10  21.56473  03 26 37.851  +16 39 49.46  22.6w 12UC178   F51  C~1w3s      
2012 10  21.58076  03 26 37.752  +16 39 49.05  22.4w 12UC178   F51  C~1w3s      
2012 10  21.59688  03 26 37.654  +16 39 48.71  22.2w 12UC178   F51  C~1w3s      
2012 11  06.54188  03 25 16.791  +16 34 29.46  21.3i 12UC178   F51  C~1w3s      
2012 11  07.38353  03 25 12.322  +16 34 12.30  22.2w 12UC178   F51  C~1w3s      
2012 12  10.27645  03 22 20.610  +16 23 38.52  22.4w 12UC178   F51  C~1w3s      
2012 12  10.29190  03 22 20.536  +16 23 38.13  22.5w 12UC178   F51  C~1w3s      
2012 12  10.31752  03 22 20.417  +16 23 37.89  22.4w 12UC178   F51  C~1w3s      
2013 11  24.30079  03 30 15.963  +16 50 06.70  22.4w 12UC178   F51  C~1w3s      
2013 11  24.31407  03 30 15.917  +16 50 06.32  22.3w 12UC178   F51  C~1w3s      
2013 11  24.32740  03 30 15.833  +16 50 06.10  22.6w 12UC178   F51  C~1w3s      
2013 11  24.34073  03 30 15.748  +16 50 05.94  22.3w 12UC178   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     0.03       0.00    -0.10
  2   0.0000     -1.03     0.03       0.21     0.13
  3   0.0001     -2.12    -0.01       0.13     0.08
  4   0.0001     -3.19    -0.04       0.07     0.05
  5   2.0346  10828.66     0.04    -329.76    -0.14
  6   2.0346  10827.72     0.27    -329.81    -0.17
  7   2.0347  10826.24    -0.05    -329.86    -0.19
  8   2.0347  10824.78    -0.34    -329.84    -0.15
  9   2.0784   9616.65     0.11    -348.94    -0.11
 10   2.0807   9550.00    -0.02    -349.47     0.01
 11   2.1707   6996.02    -0.03    -339.89     0.13
 12   2.1708   6994.89    -0.06    -340.00    -0.00
 13   2.1708   6993.17     0.06    -339.80     0.16
 14   3.1263  14027.72    -0.13    -504.38     0.17
 15   3.1263  14026.99     0.20    -504.59    -0.05
 16   3.1264  14025.76     0.05    -504.51     0.02
 17   3.1264  14024.53    -0.11    -504.36     0.15

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.

12UC178    quality flag:3

Type:          5:3EE     5:3EE     5:3EE

axisobj        42.675    42.703    42.647
ecceobj         0.173     0.174     0.172
incobj          2.451     2.451     2.451
qmin           34.385    34.266    34.363
qmax           50.960    51.038    50.918
amean          42.328    42.328    42.328
amin           41.803    41.798    41.813
amax           42.908    42.904    42.919
emean           0.168     0.170     0.167
emin            0.145     0.143     0.144
emax            0.188     0.191     0.189
imean           2.956     2.563     3.722
imin            1.868     1.515     2.397
imax            4.721     6.254     5.491
excite_mean     0.176     0.177     0.180
fracstop        1.000     1.000     1.000
cjmean          3.045     3.045     3.043

libcent 0       181.0     179.3     180.4
libamp  0       128.9     126.9     132.4
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       233.0     186.2     139.0
kozaiamp        179.9      98.1     179.9