Orbit Fit and Astrometric record for 04US10

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: 04US10    
# Created Fri Oct 20 01:37:35 2017
# Orbit generated from Bernstein formalism
# Fitting   12 observations of   13
# Arc:  11.06y
# First observation: 2004/10/17
#  Last observation: 2015/11/08
Preliminary a, adot, b, bdot, g, gdot:
  -0.002881   0.043796  -0.000506   0.007909   0.027678   0.000000
# Chi-squared of fit:    21.00 DOF:   18 RMS:  0.23
# Min/Max residuals:    -0.37    0.43
# Exact a, adot, b, bdot, g, gdot:
  1.900718E-05  4.056749E-02  2.536148E-06  7.291935E-03  3.320983E-02 -2.289170E-03
# Covariance matrix:
  4.2100E-13 -3.9532E-13  4.4716E-14 -6.9898E-14  3.3181E-13 -7.7979E-13
 -3.9532E-13  5.8653E-13 -6.9116E-14  1.0796E-13 -5.0129E-13  1.2042E-12
  4.4716E-14 -6.9116E-14  1.8618E-13 -3.2922E-14  5.8428E-14 -1.4353E-13
 -6.9898E-14  1.0796E-13 -3.2922E-14  2.6943E-14 -9.3993E-14  2.2428E-13
  3.3181E-13 -5.0129E-13  5.8428E-14 -9.3993E-14  8.1021E-13 -1.0547E-12
 -7.7979E-13  1.2042E-12 -1.4353E-13  2.2428E-13 -1.0547E-12  2.5020E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   -1.391374    6.083544   -0.304478   -0.023018   -0.952323  2453295.553063
# Heliocentric elements and errors
Epoch:              2453290.5000  =  2004/10/12
Mean Anomaly:          350.45137 +/-     0.012
Argument of Peri:        7.50974 +/-     0.019
Long of Asc Node:       14.08538 +/-     0.000
Inclination:            10.30968 +/-     0.000
Eccentricity:         0.21578885 +/-    0.0001
Semi-Major Axis:     39.36665793 +/-    0.0075
Time of Perihelion: 2455683.4299 +/-       3.0
Perihelion:          30.87177222 +/-    0.0075
Aphelion:            47.86154364 +/-    0.0103
Period (y)              247.0023 +/-      0.07
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           30.84384688 +/-    0.0008
Ecliptic Y            3.59537045 +/-    0.0001
Ecliptic Z           -0.73109895 +/-    0.0000
Ecliptic XDOT        -0.00052893 +/-    0.0000
Ecliptic YDOT         0.00330000 +/-    0.0000
Ecliptic ZDOT         0.00060566 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   31.06129560 +/-    0.0008
Geocenter to KBO     30.11156216 +/-    0.0008
# Hcoef:  9.36

The following table shows the complete astrometric record for 04US10. 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 (04US10) followed by the observatory code and reference code for the source of the astrometry.

2004 10  17.05232  00 24 32.58   +01 08 17.8         04US10    304  Cn7976      
2004 10  17.09064  00 24 32.36   +01 08 16.5         04US10    304  Cn7976      
2004 10  17.12888  00 24 32.15   +01 08 15.3         04US10    304  Cn7976      
2004 12  12.30446  00 21 17.00   +00 53 21.9   24.1R 04US10    568  Cn7976      
2004 12  13.33971  00 21 16.41   +00 53 24.8   24.0R 04US10    568  Cn7976      
2004 12  14.30817  00 21 16.03   +00 53 29.4   24.0R 04US10    568  Cn7976      
2005 11  03.07160  00 30 56.81   +02 18 30.0   24. R 04US10    304  Cp0717      
2005 11  03.11128  00 30 56.62   +02 18 28.9         04US10    304  Cp0717      
2005 11  04.03096  00 30 52.19   +02 18 06.0         04US10    304  Cp0717      
2007 07  12.31774  00 54 29.59   +05 34 50.3         04US10    304  Cv1994      
2007 07  12.40557  00 54 29.66   +05 34 51.3         04US10    304  Cv1994      
2015 11  08.13766  01 52 10.01   +15 00 10.4   24.0R 04US10    G37  C~1dcI      
2015 11  08.20931  01 52 09.55   +15 00 07.8         04US10    G37  C~1dcI      

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     0.06       0.00     0.19
  2   0.0001     -3.54    -0.02       0.11     0.09
  3   0.0002     -6.91     0.08       0.26     0.02
  4   0.1540  -3048.55 (   0.92)    338.05 (   0.33)
  5   0.1568  -3055.53    -0.21     344.22    -0.35
  6   0.1595  -3058.94    -0.17     350.70    -0.24
  7   1.0459   6959.35     0.35    1592.74     0.18
  8   1.0460   6956.30     0.37    1592.86     0.06
  9   1.0485   6886.18    -0.37    1598.03     0.43
 10   2.7331  31262.11    -0.24    4169.77    -0.30
 11   2.7333  31263.49     0.12    4170.29    -0.15
 12  11.0584  97581.04     0.28   18033.30     0.20
 13  11.0586  97572.26    -0.28   18032.98    -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.

04US10    quality flag:3

Type:           3:2E      3:2E      3:2E

axisobj        39.905    39.928    39.882
ecceobj         0.226     0.226     0.226
incobj         10.265    10.265    10.265
qmin           30.456    30.387    30.434
qmax           49.162    49.141    49.059
amean          39.456    39.456    39.456
amin           38.973    38.976    38.990
amax           40.013    40.016    39.968
emean           0.206     0.207     0.205
emin            0.179     0.183     0.179
emax            0.231     0.228     0.229
imean          10.706    10.590    10.741
imin           10.083    10.043    10.053
imax           11.590    11.531    11.713
excite_mean     0.277     0.277     0.277
fracstop        1.000     1.000     1.000
cjmean          2.964     2.964     2.964

libcent 0       180.5     179.1     179.5
libamp  0       101.0     106.2      94.7
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       186.9     205.4     184.9
kozaiamp        179.9     179.9     180.0