Orbit Fit and Astrometric record for 04MU8

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: 04MU8     
# Created Wed Oct 18 01:37:32 2017
# Orbit generated from Bernstein formalism
# Fitting   23 observations of   23
# Arc:   8.96y
# First observation: 2004/06/24
#  Last observation: 2013/06/09
Preliminary a, adot, b, bdot, g, gdot:
  -0.000350   0.018727   0.000014  -0.001167   0.020494   0.000000
# Chi-squared of fit:     9.43 DOF:   40 RMS:  0.11
# Min/Max residuals:    -0.25    0.25
# Exact a, adot, b, bdot, g, gdot:
  1.349371E-05  1.843695E-02 -9.224270E-07 -1.152822E-03  2.119267E-02 -5.129932E-04
# Covariance matrix:
  2.4916E-13 -2.1759E-13 -6.4712E-15  1.1312E-14  2.6587E-13 -1.0623E-12
 -2.1759E-13  2.9938E-13  9.4828E-15 -1.6612E-14 -3.1419E-13  1.5590E-12
 -6.4712E-15  9.4828E-15  1.0170E-13 -1.4531E-14 -9.4838E-15  5.0473E-14
  1.1312E-14 -1.6612E-14 -1.4531E-14  6.1264E-15  1.6444E-14 -8.8475E-14
  2.6587E-13 -3.1419E-13 -9.4838E-15  1.6444E-14  6.7720E-13 -1.5479E-12
 -1.0623E-12  1.5590E-12  5.0473E-14 -8.8475E-14 -1.5479E-12  8.3019E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   -0.012186  -69.711699    0.295173   -0.000160   -0.974680  2453180.971063
# Heliocentric elements and errors
Epoch:              2453180.5000  =  2004/06/24
Mean Anomaly:          204.27865 +/-     0.074
Argument of Peri:      339.45563 +/-     0.065
Long of Asc Node:      109.74327 +/-     0.000
Inclination:             3.58280 +/-     0.000
Eccentricity:         0.08236014 +/-    0.0002
Semi-Major Axis:     44.75290506 +/-    0.0077
Time of Perihelion: 2500482.1118 +/-      18.8
Perihelion:          41.06704946 +/-    0.0109
Aphelion:            48.43876066 +/-    0.0117
Period (y)              299.3919 +/-      0.08
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           16.41920495 +/-    0.0006
Ecliptic Y          -45.27336412 +/-    0.0017
Ecliptic Z           -0.01004247 +/-    0.0000
Ecliptic XDOT         0.00220871 +/-    0.0000
Ecliptic YDOT         0.00088110 +/-    0.0000
Ecliptic ZDOT        -0.00014880 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   48.15877792 +/-    0.0016
Geocenter to KBO     47.18611549 +/-    0.0018
# Hcoef:  6.11

The following table shows the complete astrometric record for 04MU8. 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 (04MU8) followed by the observatory code and reference code for the source of the astrometry.

2004 06  24.47032  19 27 47.48   -21 55 08.1         04MU8     568  C~0VDq      
2004 06  25.46658  19 27 43.21   -21 55 17.7   23.2g 04MU8     568  C~0VDq      
2004 06  25.48954  19 27 43.11   -21 55 17.9   23.1g 04MU8     568  C~0VDq      
2004 06  25.50807  19 27 43.03   -21 55 18.2   22.9g 04MU8     568  C~0VDq      
2004 07  22.44048  19 25 42.83   -21 59 44.2   23.1g 04MU8     568  C~0VDq      
2004 07  22.46878  19 25 42.70   -21 59 44.4   23.6g 04MU8     568  C~0VDq      
2004 07  22.49234  19 25 42.60   -21 59 44.6   23.5g 04MU8     568  C~0VDq      
2004 07  23.39346  19 25 38.62   -21 59 53.4         04MU8     568  C~0VDq      
2004 09  09.29657  19 22 53.13   -22 05 56.4         04MU8     568  C~0VDq      
2004 09  09.34366  19 22 53.04   -22 05 56.6   22.5i 04MU8     568  C~0VDq      
2005 06  12.49306  19 33 09.12   -21 47 27.0   22.5R 04MU8     568  C~0VDq      
2005 06  12.51881  19 33 09.02   -21 47 27.1   22.3R 04MU8     568  C~0VDq      
2005 06  12.54480  19 33 08.92   -21 47 27.3   22.5R 04MU8     568  C~0VDq      
2005 06  13.49826  19 33 05.30   -21 47 36.3         04MU8     568  C~0VDq      
2007 05  16.40857  19 43 32.06   -21 30 48.4         04MU8     675  C~0VDq      
2007 05  16.44170  19 43 31.98   -21 30 48.4   22.0r 04MU8     695  C~0VDq      
2007 05  16.44319  19 43 32.00   -21 30 48.5         04MU8     675  C~0VDq      
2007 05  17.45088  19 43 30.03   -21 30 54.3   22.0r 04MU8     695  C~0VDq      
2013 06  08.15701  20 09 38.30   -20 43 10.8   22.5R 04MU8     304  C~0snl      
2013 06  08.25556  20 09 38.01   -20 43 11.9         04MU8     304  C~0snl      
2013 06  09.16441  20 09 35.24   -20 43 21.5         04MU8     304  C~0snl      
2013 06  09.29161  20 09 34.84   -20 43 22.9         04MU8     304  C~0snl      
2013 06  09.36137  20 09 34.62   -20 43 23.6         04MU8     304  C~0snl      

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     0.05       0.00     0.01
  2   0.0027    -60.19     0.09      -0.66     0.00
  3   0.0028    -61.59     0.10      -0.65     0.03
  4   0.0028    -62.74     0.10      -0.79    -0.10
  5   0.0766  -1755.91     0.00     -18.19     0.05
  6   0.0767  -1757.73    -0.02     -18.12     0.12
  7   0.0767  -1759.14     0.07     -18.12     0.14
  8   0.0792  -1815.19     0.10     -18.78     0.08
  9   0.2103  -4144.76    -0.09     -49.10     0.02
 10   0.2105  -4146.03     0.02     -49.13     0.01
 11   0.9665   4496.38    -0.20    -229.40    -0.02
 12   0.9666   4494.99    -0.19    -229.28     0.12
 13   0.9667   4493.58    -0.18    -229.26     0.15
 14   0.9693   4442.35    -0.17    -230.22    -0.14
 15   2.8910  13244.03     0.13    -683.22    -0.25
 16   2.8911  13242.93    -0.04    -683.03    -0.03
 17   2.8911  13243.19     0.25    -683.17    -0.17
 18   2.8939  13214.99    -0.03    -684.11    -0.24
 19   8.9547  35627.20    -0.18   -2154.63     0.13
 20   8.9549  35622.87    -0.00   -2154.84     0.04
 21   8.9574  35581.66     0.05   -2155.87     0.01
 22   8.9578  35575.70     0.05   -2156.04    -0.01
 23   8.9579  35572.45     0.07   -2156.06     0.03

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.

04MU8    quality flag:3

Type:      CLASSICAL CLASSICAL CLASSICAL

axisobj        44.814    44.837    44.792
ecceobj         0.083     0.083     0.084
incobj          3.580     3.580     3.580
qmin           40.204    40.218    40.126
qmax           49.932    49.901    49.927
amean          44.923    44.946    44.900
amin           44.565    44.586    44.547
amax           45.310    45.328    45.297
emean           0.087     0.087     0.088
emin            0.073     0.072     0.074
emax            0.102     0.102     0.103
imean           2.098     2.095     2.102
imin            1.523     1.528     1.520
imax            2.709     2.704     2.714
excite_mean     0.095     0.094     0.095
fracstop        1.000     1.000     1.000
cjmean          3.102     3.102     3.101

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       170.6     170.0     171.2
kozaiamp        180.0     179.9     180.0