Orbit Fit and Astrometric record for 12UD178

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: 12UD178   
# Created Sat Oct 21 01:38:11 2017
# Orbit generated from Bernstein formalism
# Fitting   18 observations of   18
# Arc:   3.08y
# First observation: 2010/10/29
#  Last observation: 2013/11/26
Preliminary a, adot, b, bdot, g, gdot:
   0.000157   0.037915  -0.000020   0.005729   0.030478   0.000000
# Chi-squared of fit:    11.22 DOF:   30 RMS:  0.14
# Min/Max residuals:    -0.40    0.34
# Exact a, adot, b, bdot, g, gdot:
  1.971971E-05  3.847450E-02  3.218139E-06  5.805859E-03  3.072768E-02  6.392086E-03
# Covariance matrix:
  1.2006E-12 -1.0988E-12  9.2935E-14 -1.3689E-13 -2.2001E-13 -6.5255E-12
 -1.0988E-12  1.6891E-12 -1.7521E-13  2.5498E-13  9.3122E-13  1.2112E-11
  9.2935E-14 -1.7521E-13  6.3880E-13 -2.7361E-13 -1.0801E-13 -1.3464E-12
 -1.3689E-13  2.5498E-13 -2.7361E-13  1.5356E-13  1.5328E-13  1.9590E-12
 -2.2001E-13  9.3122E-13 -1.0801E-13  1.5328E-13  1.2261E-12  7.2262E-12
 -6.5255E-12  1.2112E-11 -1.3464E-12  1.9590E-12  7.2262E-12  9.3048E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   -1.670247   56.766160    0.349757   -0.027009   -0.926353  2455499.086116
# Heliocentric elements and errors
Epoch:              2455490.5000  =  2010/10/21
Mean Anomaly:           11.28754 +/-     0.013
Argument of Peri:      319.17891 +/-     0.039
Long of Asc Node:       66.85236 +/-     0.000
Inclination:             8.68762 +/-     0.000
Eccentricity:         0.42374856 +/-    0.0002
Semi-Major Axis:     55.77085496 +/-    0.0143
Time of Perihelion: 2450720.6350 +/-       5.3
Perihelion:          32.13803571 +/-    0.0136
Aphelion:            79.40367420 +/-    0.0231
Period (y)              416.5040 +/-      0.16
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           18.63250097 +/-    0.0006
Ecliptic Y           27.79224594 +/-    0.0010
Ecliptic Z           -0.94847891 +/-    0.0000
Ecliptic XDOT        -0.00254725 +/-    0.0000
Ecliptic YDOT         0.00237393 +/-    0.0000
Ecliptic ZDOT         0.00050048 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   33.47355133 +/-    0.0009
Geocenter to KBO     32.54394571 +/-    0.0012
# Hcoef:  7.14

The following table shows the complete astrometric record for 12UD178. 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 (12UD178) followed by the observatory code and reference code for the source of the astrometry.

2010 10  29.58535  03 39 29.456  +17 48 29.97  22.2i 12UD178   F51  C~1w3s      
2011 12  01.50329  03 44 56.702  +18 28 34.16  22.2r 12UD178   F51  C~1w3s      
2011 12  01.51616  03 44 56.615  +18 28 33.85  22.2r 12UD178   F51  C~1w3s      
2012 03  14.23785  03 42 19.839  +18 28 53.20  22.4w 12UD178   F51  C~1w3s      
2012 10  21.55764  03 57 29.674  +19 25 24.94  22.7w 12UD178   F51  C~1w3s      
2012 10  21.57367  03 57 29.604  +19 25 24.56  22.8w 12UD178   F51  C~1w3s      
2012 10  21.58975  03 57 29.526  +19 25 24.25  22.6w 12UD178   F51  C~1w3s      
2012 12  10.26976  03 52 41.039  +19 13 36.59  22.2w 12UD178   F51  C~1w3s      
2012 12  10.28523  03 52 40.946  +19 13 36.48  22.6w 12UD178   F51  C~1w3s      
2012 12  10.31085  03 52 40.787  +19 13 36.10  22.4w 12UD178   F51  C~1w3s      
2012 12  10.32638  03 52 40.699  +19 13 35.75  22.5w 12UD178   F51  C~1w3s      
2013 11  09.51472  04 04 25.757  +20 05 53.04  22.4w 12UD178   F51  C~1w3s      
2013 11  09.52980  04 04 25.687  +20 05 53.35  22.2w 12UD178   F51  C~1w3s      
2013 11  09.56006  04 04 25.492  +20 05 52.76  22.4w 12UD178   F51  C~1w3s      
2013 11  26.33303  04 02 44.150  +20 02 03.48  22.3w 12UD178   F51  C~1w3s      
2013 11  26.34831  04 02 44.052  +20 02 03.16  22.5w 12UD178   F51  C~1w3s      
2013 11  26.36364  04 02 43.965  +20 02 03.01  22.4w 12UD178   F51  C~1w3s      
2013 11  26.37902  04 02 43.859  +20 02 02.70  22.1w 12UD178   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     0.02       0.00    -0.05
  2   1.0894   5087.57    -0.03    1291.23    -0.03
  3   1.0895   5086.29    -0.17    1291.21    -0.10
  4   1.3734   2915.78     0.23    1808.51    -0.22
  5   1.9794  16284.68    -0.06    2350.36     0.26
  6   1.9794  16283.63     0.04    2350.19     0.05
  7   1.9795  16282.47     0.05    2350.11    -0.07
  8   2.1155  12121.09     0.07    2505.24     0.10
  9   2.1155  12119.78     0.05    2505.41     0.21
 10   2.1156  12117.49    -0.10    2505.52     0.20
 11   2.1156  12116.19    -0.09    2505.44     0.05
 12   3.0306  22581.95    -0.04    3567.93    -0.40
 13   3.0306  22581.04     0.34    3568.43     0.05
 14   3.0307  22578.19     0.09    3568.38    -0.09
 15   3.0767  21116.69    -0.08    3621.82     0.09
 16   3.0767  21115.25    -0.14    3621.77    -0.02
 17   3.0767  21114.01    -0.01    3621.87     0.02
 18   3.0768  21112.47    -0.17    3621.85    -0.05

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.

12UD178    quality flag:3

Type:         5:2EEE    5:2EEE    5:2EEE

axisobj        56.187    56.233    56.141
ecceobj         0.428     0.428     0.427
incobj          8.680     8.680     8.679
qmin           31.622    31.629    31.627
qmax           80.589    80.399    80.648
amean          55.462    55.462    55.462
amin           54.746    54.831    54.737
amax           56.405    56.302    56.444
emean           0.418     0.418     0.418
emin            0.408     0.409     0.407
emax            0.430     0.429     0.429
imean           7.638     7.575     7.655
imin            7.399     7.424     7.342
imax            7.904     7.735     7.991
excite_mean     0.439     0.439     0.439
fracstop        1.000     1.000     1.000
cjmean          2.987     2.987     2.987

libcent 0       179.5     178.9     180.4
libamp  0        76.5      41.1      85.2
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       142.6     140.6     140.3
kozaiamp        180.0     180.0     180.0