Orbit Fit and Astrometric record for 04VK78

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: 04VK78    
# Created Tue Oct 24 01:37:33 2017
# Orbit generated from Bernstein formalism
# Fitting   20 observations of   21
# Arc:   8.91y
# First observation: 2004/11/09
#  Last observation: 2013/10/07
Preliminary a, adot, b, bdot, g, gdot:
  -0.000015   0.039828  -0.000001   0.000910   0.031233   0.000000
# Chi-squared of fit:    16.06 DOF:   34 RMS:  0.16
# Min/Max residuals:    -0.34    0.33
# Exact a, adot, b, bdot, g, gdot:
  2.058020E-05  3.993435E-02 -1.329018E-07  9.152205E-04  3.168880E-02  3.527801E-03
# Covariance matrix:
  2.1148E-13 -2.2533E-13  1.5521E-15 -4.1318E-15  2.5140E-13 -5.0183E-13
 -2.2533E-13  4.2146E-13 -3.2235E-15  8.2727E-15 -4.0947E-13  1.0032E-12
  1.5521E-15 -3.2235E-15  1.0146E-13 -1.4763E-14  1.8127E-15 -8.1076E-15
 -4.1318E-15  8.2727E-15 -1.4763E-14  7.9853E-15 -6.9427E-15  2.0326E-14
  2.5140E-13 -4.0947E-13  1.8127E-15 -6.9427E-15  1.0667E-12 -8.5401E-13
 -5.0183E-13  1.0032E-12 -8.1076E-15  2.0326E-14 -8.5401E-13  2.4622E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   -0.674435   40.873868   -0.106738   -0.011515   -0.987014  2453318.884993
# Heliocentric elements and errors
Epoch:              2453310.5000  =  2004/11/01
Mean Anomaly:           10.18668 +/-     0.005
Argument of Peri:      312.47648 +/-     0.006
Long of Asc Node:       67.49286 +/-     0.002
Inclination:             1.46947 +/-     0.000
Eccentricity:         0.32739750 +/-    0.0002
Semi-Major Axis:     47.58175213 +/-    0.0128
Time of Perihelion: 2449918.2406 +/-       0.9
Perihelion:          32.00360552 +/-    0.0116
Aphelion:            63.15989874 +/-    0.0187
Period (y)              328.2229 +/-      0.13
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           24.53201278 +/-    0.0008
Ecliptic Y           21.37709592 +/-    0.0007
Ecliptic Z           -0.37146042 +/-    0.0000
Ecliptic XDOT        -0.00202784 +/-    0.0000
Ecliptic YDOT         0.00280178 +/-    0.0000
Ecliptic ZDOT         0.00007557 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   32.54132548 +/-    0.0007
Geocenter to KBO     31.55689253 +/-    0.0010
# Hcoef:  8.17

The following table shows the complete astrometric record for 04VK78. 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 (04VK78) followed by the observatory code and reference code for the source of the astrometry.

2004 11  09.38425  02 34 40.10   +14 26 49.6   23.6g 04VK78    568  C~0X5c      
2004 11  09.41074  02 34 39.94   +14 26 49.0   22.6g 04VK78    568  C~0X5c      
2004 11  09.43671  02 34 39.79   +14 26 48.1   22.5g 04VK78    568  C~0X5c      
2004 11  10.30006  02 34 34.68   +14 26 25.1   23.4g 04VK78    568  C~0X5c      
2004 11  11.26448  02 34 29.03   +14 25 58.1   22.4R 04VK78    695  Cm1784      
2004 11  11.36676  02 34 28.41   +14 25 55.3         04VK78    695  Cm1784      
2004 11  18.34828  02 33 48.00   +14 22 48.9   22.5R 04VK78    568  Cm1784      
2004 11  18.39121  02 33 47.76   +14 22 47.7         04VK78    568  Cm1784      
2005 01  05.21941  02 30 36.03   +14 08 36.3   22.8i 04VK78    568  C~0X5c      
2005 01  05.27535  02 30 35.93   +14 08 35.9   22.7i 04VK78    568  C~0X5c      
2005 01  05.34540  02 30 35.81   +14 08 35.5   22.8i 04VK78    568  C~0X5c      
2005 10  25.51435  02 45 04.09   +15 18 17.1   23.2r 04VK78    568  C~0X5c      
2005 10  25.58096  02 45 03.69   +15 18 15.3   22.9r 04VK78    568  C~0X5c      
2005 10  25.59068  02 45 03.63   +15 18 15.0   23.1r 04VK78    568  C~0X5c      
2005 10  26.55437  02 44 57.99   +15 17 49.7   23.4r 04VK78    568  C~0X5c      
2006 10  21.99383  02 54 19.08   +16 02 39.3         04VK78    950  C~0X5c      
2006 10  22.10435  02 54 18.46   +16 02 36.8         04VK78    950  C~0X5c      
2006 10  22.17817  02 54 18.03   +16 02 35.0         04VK78    950  C~0X5c      
2013 10  06.49830  03 56 53.96   +20 13 53.5   23.3R 04VK78    695  C~0zdg      
2013 10  07.32885  03 56 50.93   +20 13 44.2         04VK78    695  C~0zdg      
2013 10  07.40738  03 56 50.65   +20 13 43.7         04VK78    695  C~0zdg      

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    -0.13       0.00     0.12
  2   0.0001     -2.40    -0.10       0.15     0.24
  3   0.0001     -4.75    -0.07      -0.03     0.03
  4   0.0025    -82.45 (  -0.23)      1.17 (   0.71)
  5   0.0051   -168.85     0.12       1.01    -0.14
  6   0.0054   -178.28     0.00       1.15    -0.11
  7   0.0245   -794.23    -0.03       6.67    -0.22
  8   0.0247   -797.92     0.07       6.62    -0.34
  9   0.1556  -3712.05    -0.01      70.86     0.28
 10   0.1558  -3713.56    -0.02      70.94     0.24
 11   0.1560  -3715.34     0.06      71.11     0.27
 12   0.9586   9563.53     0.16     180.32    -0.11
 13   0.9588   9557.45     0.08     180.34    -0.12
 14   0.9588   9556.53     0.03     180.31    -0.15
 15   0.9615   9470.92    -0.01     180.62    -0.19
 16   1.9483  18046.22    -0.23     366.21    -0.01
 17   1.9486  18036.87     0.07     366.40     0.09
 18   1.9488  18030.37     0.02     366.47     0.12
 19   8.9065  76850.16    -0.04    1679.96     0.33
 20   8.9088  76800.45    -0.16    1679.56    -0.30
 21   8.9090  76795.94     0.21    1679.90    -0.02

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.

04VK78    quality flag:3

Type:           2:1E      2:1E      2:1E

axisobj        48.395    48.435    48.354
ecceobj         0.339     0.339     0.338
incobj          1.466     1.466     1.466
qmin           31.361    31.378    31.360
qmax           65.101    65.040    65.098
amean          47.797    47.797    47.797
amin           47.284    47.240    47.259
amax           48.479    48.545    48.502
emean           0.330     0.330     0.330
emin            0.318     0.317     0.318
emax            0.344     0.342     0.343
imean           1.113     1.198     1.139
imin            0.735     0.938     0.824
imax            1.334     1.417     1.336
excite_mean     0.331     0.331     0.331
fracstop        1.000     1.000     1.000
cjmean          3.008     3.008     3.008

libcent 0        70.7      74.2      71.4
libamp  0        17.9      29.2      20.7
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       181.1     194.2     186.6
kozaiamp        179.9     180.0     180.0