Orbit Fit and Astrometric record for 04VZ75

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: 04VZ75    
# Created Sat Oct 21 01:37:33 2017
# Orbit generated from Bernstein formalism
# Fitting   23 observations of   23
# Arc:   4.84y
# First observation: 2003/12/21
#  Last observation: 2008/10/22
Preliminary a, adot, b, bdot, g, gdot:
  -0.000190   0.022937   0.000007  -0.000596   0.022848   0.000000
# Chi-squared of fit:    40.21 DOF:   40 RMS:  0.23
# Min/Max residuals:    -0.71    0.57
# Exact a, adot, b, bdot, g, gdot:
  1.434155E-05  2.207266E-02  1.034509E-06 -5.901239E-04  2.413578E-02 -4.296794E-03
# Covariance matrix:
  4.0893E-13 -2.6043E-13 -3.6704E-15  4.5391E-15 -1.1002E-13 -1.4980E-12
 -2.6043E-13  3.8375E-13  4.3539E-15 -4.8903E-15 -1.5487E-13  2.1750E-12
 -3.6704E-15  4.3539E-15  2.1475E-13 -6.0406E-14  1.0792E-15  3.0660E-14
  4.5391E-15 -4.8903E-15 -6.0406E-14  2.4033E-14 -2.1972E-15 -3.5884E-14
 -1.1002E-13 -1.5487E-13  1.0792E-15 -2.1972E-15  5.3046E-13 -2.5433E-13
 -1.4980E-12  2.1750E-12  3.0660E-14 -3.5884E-14 -2.5433E-13  1.4149E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   -4.306476   58.891440   -0.486153   -0.063927   -0.849677  2452994.663049
# Heliocentric elements and errors
Epoch:              2452990.5000  =  2003/12/17
Mean Anomaly:          259.87821 +/-     0.043
Argument of Peri:       11.50346 +/-     0.028
Long of Asc Node:      168.80050 +/-     0.005
Inclination:             4.46802 +/-     0.000
Eccentricity:         0.19441410 +/-    0.0002
Semi-Major Axis:     39.58577386 +/-    0.0048
Time of Perihelion: 2478291.2414 +/-       9.8
Perihelion:          31.88974126 +/-    0.0073
Aphelion:            47.28180646 +/-    0.0084
Period (y)              249.0674 +/-      0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           21.36611595 +/-    0.0006
Ecliptic Y           36.35766308 +/-    0.0011
Ecliptic Z           -3.11116213 +/-    0.0001
Ecliptic XDOT        -0.00240173 +/-    0.0000
Ecliptic YDOT         0.00086688 +/-    0.0000
Ecliptic ZDOT        -0.00003000 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   42.28557562 +/-    0.0010
Geocenter to KBO     41.43225898 +/-    0.0013
# Hcoef:  7.03

The following table shows the complete astrometric record for 04VZ75. 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 (04VZ75) followed by the observatory code and reference code for the source of the astrometry.

2003 12  21.162306 03 50 34.42   +15 42 24.8   23.8V 04VZ75    645  C~1S6r      
2003 12  21.163135 03 50 34.42   +15 42 24.8   22.1V 04VZ75    645  C~1S6r      
2003 12  21.165623 03 50 34.41   +15 42 24.8   22.7V 04VZ75    645  C~1S6r      
2004 11  09.42974  03 59 06.52   +16 06 03.3   22.7R 04VZ75    695  Cm0643      
2004 11  10.37622  03 59 01.87   +16 05 47.9         04VZ75    695  Cm0643      
2004 11  10.45106  03 59 01.49   +16 05 46.6         04VZ75    695  Cm0643      
2005 11  03.33638  04 04 53.12   +16 21 08.0   22.5R 04VZ75    695  Cs2694      
2005 11  03.38305  04 04 52.90   +16 21 07.2         04VZ75    695  Cs2694      
2005 11  03.43024  04 04 52.67   +16 21 06.4         04VZ75    695  Cs2694      
2005 12  23.29384  04 00 48.56   +16 09 40.0   21.3R 04VZ75    568  Cs2694      
2005 12  23.35187  04 00 48.29   +16 09 39.4         04VZ75    568  Cs2694      
2006 08  21.34776  04 12 33.62   +16 47 10.6   22.2R 04VZ75    807  Cs2694      
2006 08  22.33198  04 12 34.99   +16 47 08.1         04VZ75    807  Cs2694      
2006 08  23.31953  04 12 36.37   +16 47 04.8         04VZ75    807  Cs2694      
2006 10  23.467366 04 11 01.03   +16 36 53.6   20.3V 04VZ75    645  C~1S6r      
2006 10  23.468195 04 11 01.03   +16 36 53.6   26.7V 04VZ75    645  C~1S6r      
2006 10  23.470683 04 11 01.02   +16 36 53.5   22.6V 04VZ75    645  C~1S6r      
2008 09  21.13296  04 23 15.05   +17 07 43.6   25.4R 04VZ75    250  S~06Al      
2008 09  21.13990  04 23 15.05   +17 07 43.8         04VZ75    250  S~06Al      
2008 09  21.14615  04 23 15.04   +17 07 43.8         04VZ75    250  S~06Al      
2008 09  21.20032  04 23 14.97   +17 07 43.1         04VZ75    250  S~06Al      
2008 10  22.32549  04 21 51.41   +17 01 32.4   24.6r 04VZ75    695  C~0gMD      
2008 10  22.41302  04 21 51.06   +17 01 30.8   24.1r 04VZ75    695  C~0gMD      

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    -0.29
  2   0.0000      0.00     0.08       0.00    -0.30
  3   0.0000     -0.14     0.10       0.03    -0.27
  4   0.8878   7524.15     0.20    -153.19     0.24
  5   0.8904   7455.32    -0.08    -154.63     0.25
  6   0.8906   7449.68    -0.19    -154.79     0.20
  7   1.8704  12608.45    -0.05    -265.76     0.15
  8   1.8706  12605.17    -0.05    -265.92     0.08
  9   1.8707  12601.76    -0.14    -266.05     0.05
 10   2.0072   9010.30    -0.17    -238.82     0.08
 11   2.0074   9006.37    -0.36    -238.63     0.07
 12   2.6672  19447.54    -0.00      -2.15    -0.07
 13   2.6699  19466.57    -0.71      -8.32     0.31
 14   2.6726  19485.59    -0.11     -15.30    -0.09
 15   2.8400  18013.22     0.52    -359.23    -0.01
 16   2.8400  18013.22     0.57    -359.23    -0.00
 17   2.8400  18013.05     0.56    -359.30    -0.07
 18   4.7528  28850.63    -0.16    -454.87    -0.16
 19   4.7528  28850.66     0.02    -454.67     0.09
 20   4.7529  28850.52    -0.00    -454.64     0.15
 21   4.7530  28849.39    -0.02    -455.16    -0.04
 22   4.8382  27581.63     0.03    -611.95     0.02
 23   4.8385  27576.31    -0.06    -612.65    -0.38

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.

04VZ75    quality flag:3

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

axisobj        39.756    39.770    39.742
ecceobj         0.188     0.188     0.188
incobj          4.460     4.460     4.460
qmin           31.137    31.140    31.084
qmax           48.301    48.340    48.138
amean          39.456    39.456    39.456
amin           39.057    39.037    39.067
amax           39.914    39.926    39.905
emean           0.193     0.192     0.193
emin            0.177     0.174     0.176
emax            0.211     0.211     0.209
imean           4.420     4.419     4.422
imin            3.917     3.915     3.921
imax            5.103     5.096     5.097
excite_mean     0.208     0.207     0.208
fracstop        1.000     1.000     1.000
cjmean          3.003     3.003     3.003

libcent 0       180.0     180.4     180.3
libamp  0        63.2      70.1      57.8
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       192.3     191.5     192.3
kozaiamp        180.0     180.0     179.9