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: VNH0036
# Created Wed Jun 4 01:12:16 2025
# Orbit generated from Bernstein formalism
# Fitting 9 observations of 9
# Arc: 3.00d
# First observation: 2013/06/04
# Last observation: 2013/06/07
# WARNING Fitting with energy constraint
# WARNING and with gdot fixed = 0
# Chi-squared of fit: 0.81 DOF: 14 RMS: 0.05
# Min/Max residuals: -0.10 0.08
# Exact a, adot, b, bdot, g, gdot:
1.592485E-05 2.352413E-02 -5.765842E-07 -3.192632E-04 2.406846E-02 0.000000E+00
# Covariance matrix:
3.2731E-11 4.9294E-08 -4.8974E-13 -6.9982E-10 8.7882E-09 0.0000E+00
4.9294E-08 7.5656E-05 -7.5045E-10 -1.0724E-06 1.3466E-05 0.0000E+00
-4.8974E-13 -7.5045E-10 5.2388E-13 -5.9230E-11 -1.3360E-10 0.0000E+00
-6.9982E-10 -1.0724E-06 -5.9230E-11 2.9019E-08 -1.9091E-07 0.0000E+00
8.7882E-09 1.3466E-05 -1.3360E-10 -1.9091E-07 2.3974E-06 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 1.8347E-04
# lat0 lon0 xBary yBary zBary JD0
1.753297 -80.424482 0.445032 0.028019 -0.914105 2456447.751648
# Heliocentric elements and errors
Epoch: 2456440.5000 = 2013/05/28
Mean Anomaly: 335.47291 +/- 182.866
Argument of Peri: 139.56753 +/- 251.550
Long of Asc Node: 165.13697 +/- 8.065
Inclination: 1.87546 +/- 0.116
Eccentricity: 0.02528463 +/- 0.5650
Semi-Major Axis: 43.45703482 +/- 22.2573
Time of Perihelion: 2463569.5582 +/- 367024.5
Perihelion: 42.35823957 +/- 32.7633
Aphelion: 44.55583008 +/- 33.5191
Period (y) 286.4827 +/- 220.09
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 6.62246402 +/- 0.4442
Ecliptic Y -41.92326622 +/- 2.6344
Ecliptic Z 1.27120989 +/- 0.0818
Ecliptic XDOT 0.00263252 +/- 0.0008
Ecliptic YDOT 0.00044378 +/- 0.0015
Ecliptic ZDOT -0.00003616 +/- 0.0001
# Distances at JD0 (AU)
Heliocenter to KBO 42.46213908 +/- 2.6019
Geocenter to KBO 41.54815682 +/- 2.6729
# Hcoef: 12.22
The following table shows the complete astrometric record for VNH0036. 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 (VNH0036) followed by the observatory code and reference code for the source of the astrometry.
2013 06 04.25087 18 41 07.978 -21 20 41.38 28.9R VNH0036 304 2013 06 04.32878 18 41 07.636 -21 20 41.73 VNH0036 304 2013 06 05.21788 18 41 03.679 -21 20 44.90 VNH0036 304 2013 06 07.16497 18 40 54.858 -21 20 51.81 29.5R VNH0036 304 2013 06 07.16603 18 40 54.854 -21 20 51.81 26.6R VNH0036 304 2013 06 07.20322 18 40 54.683 -21 20 51.92 29.0R VNH0036 304 2013 06 07.20868 18 40 54.661 -21 20 51.94 26.9R VNH0036 304 2013 06 07.24566 18 40 54.488 -21 20 52.21 29.1R VNH0036 304 2013 06 07.24931 18 40 54.473 -21 20 52.14 27.1R VNH0036 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 -0.10 0.00 0.08
2 0.0002 -4.79 0.04 -0.01 -0.02
3 0.0026 -60.16 0.08 0.75 -0.09
4 0.0080 -183.58 -0.06 2.59 0.01
5 0.0080 -183.63 -0.04 2.59 0.01
6 0.0081 -186.02 -0.02 2.65 0.05
7 0.0081 -186.33 0.03 2.65 0.04
8 0.0082 -188.76 0.01 2.55 -0.08
9 0.0082 -188.97 0.04 2.64 -0.00
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.
VNH0036 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