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: VNH0053
# Created Wed Jun 4 01:12:17 2025
# Orbit generated from Bernstein formalism
# Fitting 9 observations of 9
# Arc: 4.10d
# First observation: 2013/06/09
# Last observation: 2013/06/13
Preliminary a, adot, b, bdot, g, gdot:
-0.000000 0.030264 0.000000 -0.015041 0.031833 0.000000
# WARNING Fitting with energy constraint
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# Chi-squared of fit: 1.19 DOF: 13 RMS: 0.06
# Min/Max residuals: -0.12 0.13
# Exact a, adot, b, bdot, g, gdot:
1.557332E-05 3.226646E-02 -7.305759E-06 -1.506581E-02 3.216059E-02 9.163755E-03
# Covariance matrix:
8.5294E-11 1.7616E-07 -1.7860E-12 -2.9928E-09 3.0180E-08 -2.5192E-07
1.7616E-07 3.6528E-04 -3.7026E-09 -6.2041E-06 6.2567E-05 -5.2543E-04
-1.7860E-12 -3.7026E-09 3.4047E-13 2.7893E-11 -6.3421E-10 5.3136E-09
-2.9928E-09 -6.2041E-06 2.7893E-11 1.1415E-07 -1.0627E-06 8.7857E-06
3.0180E-08 6.2567E-05 -6.3421E-10 -1.0627E-06 1.0717E-05 -8.9720E-05
-2.5192E-07 -5.2543E-04 5.3136E-09 8.7857E-06 -8.9720E-05 1.7712E-03
# lat0 lon0 xBary yBary zBary JD0
2.734976 -80.262100 0.370992 0.045257 -0.946635 2456452.706928
# Heliocentric elements and errors
Epoch: 2456450.5000 = 2013/06/07
Mean Anomaly: 62.86263 +/- 86.928
Argument of Peri: 82.85863 +/- 148.335
Long of Asc Node: 104.75772 +/- 3.072
Inclination: 25.08739 +/- 12.175
Eccentricity: 0.24618839 +/- 1.1603
Semi-Major Axis: 33.97970622 +/- 17.5066
Time of Perihelion: 2443817.1690 +/- 14486.8
Perihelion: 25.61429689 +/- 41.5765
Aphelion: 42.34511555 +/- 45.0601
Period (y) 198.0786 +/- 153.08
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 5.04870236 +/- 0.5345
Ecliptic Y -31.60524212 +/- 3.1160
Ecliptic Z 1.48348732 +/- 0.1510
Ecliptic XDOT 0.00284313 +/- 0.0010
Ecliptic YDOT -0.00036402 +/- 0.0037
Ecliptic ZDOT -0.00124373 +/- 0.0001
# Distances at JD0 (AU)
Heliocenter to KBO 32.04030991 +/- 3.0748
Geocenter to KBO 31.09395788 +/- 3.1651
# Hcoef: 13.65
The following table shows the complete astrometric record for VNH0053. 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 (VNH0053) followed by the observatory code and reference code for the source of the astrometry.
2013 06 09.20615 18 41 31.541 -20 21 14.65 28.6R VNH0053 304 2013 06 09.26181 18 41 31.189 -20 21 15.32 28.2R VNH0053 304 2013 06 09.29840 18 41 30.964 -20 21 15.85 27.9R VNH0053 304 2013 06 09.33659 18 41 30.735 -20 21 16.26 28.1R VNH0053 304 2013 06 11.24724 18 41 19.005 -20 21 40.86 28.7R VNH0053 304 2013 06 11.31229 18 41 18.596 -20 21 41.63 28.8R VNH0053 304 2013 06 11.38015 18 41 18.187 -20 21 42.44 28.5R VNH0053 304 2013 06 13.24537 18 41 06.575 -20 22 06.86 27.7R VNH0053 304 2013 06 13.30754 18 41 06.173 -20 22 07.75 28.7R VNH0053 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 0.06 0.00 -0.02
2 0.0002 -4.99 -0.04 -0.31 0.03
3 0.0003 -8.18 -0.02 -0.61 -0.04
4 0.0004 -11.42 0.09 -0.79 0.02
5 0.0056 -177.72 -0.12 -13.52 -0.05
6 0.0058 -183.51 -0.11 -13.88 0.01
7 0.0060 -189.31 0.13 -14.27 0.04
8 0.0111 -353.92 0.07 -26.99 0.03
9 0.0112 -359.63 -0.01 -27.48 -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.
VNH0053 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