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: VNH0045
# Created Wed Jun 4 01:12:17 2025
# Orbit generated from Bernstein formalism
# Fitting 6 observations of 6
# Arc: 7.15d
# First observation: 2013/07/07
# Last observation: 2013/07/14
# WARNING Fitting with energy constraint
# WARNING and with gdot fixed = 0
# Chi-squared of fit: 0.89 DOF: 8 RMS: 0.07
# Min/Max residuals: -0.08 0.14
# Exact a, adot, b, bdot, g, gdot:
1.581513E-05 2.633724E-02 -5.949297E-06 -8.961228E-03 2.698785E-02 0.000000E+00
# Covariance matrix:
4.5222E-11 7.5640E-08 1.6202E-13 3.2946E-10 1.2420E-08 0.0000E+00
7.5640E-08 1.2794E-04 2.7394E-10 5.5706E-07 2.1000E-05 0.0000E+00
1.6202E-13 2.7394E-10 4.7198E-13 -2.3440E-11 4.4966E-11 0.0000E+00
3.2946E-10 5.5706E-07 -2.3440E-11 5.1053E-09 9.1438E-08 0.0000E+00
1.2420E-08 2.1000E-05 4.4966E-11 9.1438E-08 3.4470E-06 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 2.5866E-04
# lat0 lon0 xBary yBary zBary JD0
1.499587 -80.855745 -0.106179 0.026534 -1.013238 2456480.814528
# Heliocentric elements and errors
Epoch: 2456480.5000 = 2013/07/07
Mean Anomaly: 7.56070 +/- 149.479
Argument of Peri: 167.60890 +/- 216.145
Long of Asc Node: 103.57653 +/- 1.858
Inclination: 18.88767 +/- 7.605
Eccentricity: 0.02044385 +/- 0.5768
Semi-Major Axis: 38.85171711 +/- 20.2686
Time of Perihelion: 2454622.8095 +/- 390537.7
Perihelion: 38.05743825 +/- 29.9392
Aphelion: 39.64599598 +/- 30.4951
Period (y) 242.1718 +/- 189.51
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 6.15318472 +/- 0.4048
Ecliptic Y -37.55149603 +/- 2.5158
Ecliptic Z 0.96952551 +/- 0.0667
Ecliptic XDOT 0.00263541 +/- 0.0010
Ecliptic YDOT 0.00040054 +/- 0.0016
Ecliptic ZDOT -0.00090864 +/- 0.0001
# Distances at JD0 (AU)
Heliocenter to KBO 38.06463602 +/- 2.4828
Geocenter to KBO 37.05371233 +/- 2.5491
# Hcoef: 13.39
The following table shows the complete astrometric record for VNH0045. 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 (VNH0045) followed by the observatory code and reference code for the source of the astrometry.
2013 07 07.31375 18 39 21.608 -21 37 40.42 29.0R VNH0045 568 2013 07 07.39264 18 39 21.165 -21 37 41.49 29.3R VNH0045 568 2013 07 07.48014 18 39 20.670 -21 37 42.41 28.5R VNH0045 568 2013 07 14.29620 18 38 42.827 -21 38 55.41 29.0R VNH0045 568 2013 07 14.37783 18 38 42.368 -21 38 56.22 27.9R VNH0045 568 2013 07 14.46207 18 38 41.907 -21 38 57.11 29.1R VNH0045 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 -0.08 0.00 0.14
2 0.0002 -6.24 0.01 -0.65 -0.07
3 0.0005 -13.18 0.08 -1.10 -0.07
4 0.0191 -544.55 -0.00 -38.33 -0.06
5 0.0193 -550.99 -0.06 -38.71 0.03
6 0.0196 -557.46 0.06 -39.17 0.03
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.
VNH0045 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