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 Sun Dec 22 02:11:38 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 8.570493E-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: 48.66012124 +/- 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