Orbit Fit and Astrometric record for VNH0004

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: VNH0004   
# Created Tue Mar 19 01:20:24 2024
# Orbit generated from Bernstein formalism
# Fitting     12 observations of     12
# Arc:  33.80d
# First observation: 2011/05/29
#  Last observation: 2011/07/02
Preliminary a, adot, b, bdot, g, gdot:
   0.000000   0.041964  -0.000000   0.001966   0.032553   0.000000
# WARNING MRQMIN stopped after  13 iterations -- oscilliatory solution
# WARNING Fitting with energy constraint
# Chi-squared of fit:     1.54 DOF:     19 RMS:  0.06
# Min/Max residuals:    -0.17    0.12
# Exact a, adot, b, bdot, g, gdot:
  1.789147E-05  3.496400E-02  8.570495E-07  2.010202E-03  3.123699E-02 -9.345030E-03
# Covariance matrix:
  3.9052E-12  7.8162E-09 -3.8088E-13 -5.2246E-11  1.4432E-09  5.4240E-08
  7.8162E-09  1.8384E-05 -8.7049E-10 -1.2643E-07  3.3548E-06  1.1158E-04
 -3.8088E-13 -8.7049E-10  3.0547E-13  2.9576E-12 -1.5940E-10 -5.5120E-09
 -5.2246E-11 -1.2643E-07  2.9576E-12  9.3929E-10 -2.2993E-08 -7.3454E-07
  1.4432E-09  3.3548E-06 -1.5940E-10 -2.2993E-08  6.1305E-07  2.0713E-05
  5.4240E-08  1.1158E-04 -5.5120E-09 -7.3454E-07  2.0713E-05  8.2297E-04
#      lat0       lon0       xBary       yBary       zBary        JD0
    1.912876  -82.164552    0.512476    0.029191   -0.875931  2455711.090136
# Heliocentric elements and errors
Epoch:              2455710.5000  =  2011/05/29
Mean Anomaly:          309.74756 +/-    31.215
Argument of Peri:      112.05252 +/-    54.114
Long of Asc Node:      247.74154 +/-     3.338
Inclination:             3.81096 +/-     0.396
Eccentricity:         0.29867403 +/-    0.8055
Semi-Major Axis:     37.46908021 +/-   14.2074
Time of Perihelion: 2467404.4866 +/-    2920.3
Perihelion:          26.27803919 +/-   31.7822
Aphelion:            48.66012123 +/-   35.3731
Period (y)              229.3600 +/-    130.45
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X            3.97820573 +/-    0.1093
Ecliptic Y          -32.63460640 +/-    0.7945
Ecliptic Z            1.06867647 +/-    0.0268
Ecliptic XDOT         0.00292126 +/-    0.0006
Ecliptic YDOT         0.00124044 +/-    0.0025
Ecliptic ZDOT         0.00014879 +/-    0.0001
# Distances at JD0 (AU)
Heliocenter to KBO   32.89355142 +/-    0.7884
Geocenter to KBO     32.01332886 +/-    0.8024
# Hcoef: 10.77

The following table shows the complete astrometric record for VNH0004. 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 (VNH0004) followed by the observatory code and reference code for the source of the astrometry.

2011 05  29.58937  18 33 38.184  -21 17 52.74  25.4R VNH0004   568              
2011 05  30.44467  18 33 33.618  -21 17 53.93  25.7R VNH0004   568              
2011 05  30.51215  18 33 33.261  -21 17 54.03  25.7R VNH0004   568              
2011 05  30.57950  18 33 32.889  -21 17 54.02        VNH0004   568              
2011 06  01.44475  18 33 22.728  -21 17 57.02  25.6R VNH0004   568              
2011 06  01.52338  18 33 22.290  -21 17 57.28  24.8R VNH0004   568              
2011 07  02.06068  18 30 14.702  -21 19 22.16        VNH0004   304              
2011 07  02.16840  18 30 14.002  -21 19 22.58        VNH0004   304              
2011 07  02.27963  18 30 13.274  -21 19 23.01  23.5R VNH0004   304              
2011 07  02.28083  18 30 13.269  -21 19 23.01  27.4R VNH0004   304              
2011 07  02.33073  18 30 12.974  -21 19 23.49  26.0R VNH0004   568              
2011 07  02.39310  18 30 12.568  -21 19 23.71  26.0R VNH0004   568              

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    -0.04       0.00     0.03
     2   0.0023    -63.77    -0.11       2.52     0.02
     3   0.0025    -68.76     0.08       2.71     0.02
     4   0.0027    -73.95     0.07       3.02     0.12
     5   0.0078   -215.89    -0.03       8.26    -0.04
     6   0.0080   -222.02     0.03       8.35    -0.17
     7   0.0916  -2844.29    -0.04      68.59     0.04
     8   0.0919  -2854.08    -0.02      68.69     0.04
     9   0.0922  -2864.26    -0.06      68.80     0.02
    10   0.0922  -2864.33    -0.02      68.80     0.02
    11   0.0924  -2868.48     0.05      68.54    -0.06
    12   0.0925  -2874.15     0.07      68.62    -0.04

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.

VNH0004    quality flag:0

Type:      ERR2LARGE ERR2LARGE ERR2LARGE

axisobj         0.000     0.000     0.000
ecceobj        -1.000    -1.000    -1.000
incobj         -1.000    -1.000    -1.000
qmin            0.000     0.000     0.000
qmax            0.000     0.000     0.000
amean           0.000     0.000     0.000
amin            0.000     0.000     0.000
amax            0.000     0.000     0.000
emean           0.000     0.000     0.000
emin            0.000     0.000     0.000
emax            0.000     0.000     0.000
imean           0.000     0.000     0.000
imin            0.000     0.000     0.000
imax            0.000     0.000     0.000
excite_mean     0.000     0.000     0.000
fracstop        0.000     0.000     0.000
cjmean          0.000     0.000     0.000

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         0.0       0.0       0.0
kozaiamp          0.0       0.0       0.0