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: VNH0020
# Created Wed Jun 4 01:12:16 2025
# Orbit generated from Bernstein formalism
# Fitting 15 observations of 15
# Arc: 1.15d
# First observation: 2012/04/18
# Last observation: 2012/04/19
# WARNING Fitting with energy constraint
# WARNING and with gdot fixed = 0
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# Chi-squared of fit: 1.42 DOF: 26 RMS: 0.05
# Min/Max residuals: -0.07 0.13
# Exact a, adot, b, bdot, g, gdot:
1.661645E-05 2.366630E-02 2.842526E-06 4.140798E-03 2.278336E-02 0.000000E+00
# Covariance matrix:
1.9730E-09 2.8348E-06 -2.0247E-10 -2.9469E-07 1.3634E-06 0.0000E+00
2.8348E-06 4.0740E-03 -2.9096E-07 -4.2348E-04 1.9592E-03 0.0000E+00
-2.0247E-10 -2.9096E-07 2.1030E-11 3.0146E-08 -1.3992E-07 0.0000E+00
-2.9469E-07 -4.2348E-04 3.0146E-08 4.4083E-05 -2.0366E-04 0.0000E+00
1.3634E-06 1.9592E-03 -1.3992E-07 -2.0366E-04 9.4220E-04 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 1.5562E-04
# lat0 lon0 xBary yBary zBary JD0
2.100543 -81.283538 0.948221 0.012486 -0.340290 2456035.768316
# Heliocentric elements and errors
Epoch: 2456030.5000 = 2012/04/13
Mean Anomaly: 356.08109 +/- 92.144
Argument of Peri: 18.46305 +/- 153.655
Long of Asc Node: 265.82873 +/- 50.008
Inclination: 10.20433 +/- 40.968
Eccentricity: 0.24356944 +/- 1.3775
Semi-Major Axis: 58.40983619 +/- 28.4547
Time of Perihelion: 2457805.4673 +/- 41713.9
Perihelion: 44.18298482 +/- 83.2882
Aphelion: 72.63668756 +/- 87.8963
Period (y) 446.4134 +/- 326.21
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 5.76487994 +/- 8.9544
Ecliptic Y -43.83398342 +/- 58.4117
Ecliptic Z 1.60890002 +/- 2.1678
Ecliptic XDOT 0.00280338 +/- 0.0038
Ecliptic YDOT 0.00045269 +/- 0.0016
Ecliptic ZDOT 0.00049736 +/- 0.0015
# Distances at JD0 (AU)
Heliocenter to KBO 44.24071092 +/- 57.8865
Geocenter to KBO 43.89168135 +/- 59.1338
# Hcoef: 12.83
The following table shows the complete astrometric record for VNH0020. 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 (VNH0020) followed by the observatory code and reference code for the source of the astrometry.
2012 04 18.26755 18 37 21.409 -21 03 23.79 VNH0020 304 2012 04 18.31485 18 37 21.366 -21 03 23.59 VNH0020 304 2012 04 18.36265 18 37 21.324 -21 03 23.43 VNH0020 304 2012 04 18.40528 18 37 21.273 -21 03 23.21 VNH0020 304 2012 04 19.30535 18 37 20.400 -21 03 19.26 VNH0020 304 2012 04 19.30697 18 37 20.401 -21 03 19.39 29.8R VNH0020 304 2012 04 19.31726 18 37 20.394 -21 03 19.38 28.7R VNH0020 304 2012 04 19.33912 18 37 20.370 -21 03 19.27 29.2R VNH0020 304 2012 04 19.35214 18 37 20.350 -21 03 19.09 VNH0020 304 2012 04 19.36184 18 37 20.336 -21 03 19.23 29.0R VNH0020 304 2012 04 19.36529 18 37 20.335 -21 03 19.13 28.5R VNH0020 304 2012 04 19.39518 18 37 20.302 -21 03 18.99 VNH0020 304 2012 04 19.39905 18 37 20.303 -21 03 19.01 VNH0020 304 2012 04 19.40424 18 37 20.294 -21 03 19.02 VNH0020 304 2012 04 19.41581 18 37 20.285 -21 03 18.99 VNH0020 304
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 0.01
2 0.0001 -0.59 0.01 0.24 0.01
3 0.0003 -1.16 0.09 0.44 -0.03
4 0.0004 -1.86 -0.02 0.70 0.01
5 0.0028 -13.80 -0.02 5.43 0.13
6 0.0028 -13.80 0.01 5.30 -0.01
7 0.0029 -13.89 0.07 5.32 -0.04
8 0.0029 -14.22 0.07 5.45 -0.02
9 0.0030 -14.49 -0.00 5.65 0.11
10 0.0030 -14.69 -0.06 5.52 -0.07
11 0.0030 -14.70 -0.02 5.62 0.02
12 0.0031 -15.15 -0.02 5.79 0.03
13 0.0031 -15.14 0.06 5.77 -0.01
14 0.0031 -15.27 0.01 5.77 -0.04
15 0.0031 -15.39 0.06 5.81 -0.06
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.
VNH0020 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