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: VNH0003
# Created Wed Jun 4 01:12:16 2025
# Orbit generated from Bernstein formalism
# Fitting 22 observations of 22
# Arc: 65.27d
# First observation: 2011/04/28
# Last observation: 2011/07/02
Preliminary a, adot, b, bdot, g, gdot:
0.000000 0.027977 -0.000002 -0.002189 0.025589 0.000000
# Chi-squared of fit: 11.22 DOF: 38 RMS: 0.13
# Min/Max residuals: -0.34 0.31
# Exact a, adot, b, bdot, g, gdot:
1.664569E-05 2.581378E-02 -1.327317E-06 -2.120126E-03 2.489797E-02 -3.167858E-03
# Covariance matrix:
4.4447E-13 -3.1351E-11 2.9967E-14 7.2880E-13 -6.3549E-12 -2.2839E-10
-3.1351E-11 7.0931E-08 -8.4789E-11 -1.9421E-09 1.8254E-08 1.3174E-06
2.9967E-14 -8.4789E-11 3.6652E-13 4.0230E-13 -2.1864E-11 -1.5852E-09
7.2880E-13 -1.9421E-09 4.0230E-13 7.1747E-11 -5.0047E-10 -3.6227E-08
-6.3549E-12 1.8254E-08 -2.1864E-11 -5.0047E-10 4.7076E-09 3.4144E-07
-2.2839E-10 1.3174E-06 -1.5852E-09 -3.6227E-08 3.4144E-07 2.5082E-05
# lat0 lon0 xBary yBary zBary JD0
2.702620 -82.325194 0.877511 0.023547 -0.499351 2455679.768856
# Heliocentric elements and errors
Epoch: 2455670.5000 = 2011/04/19
Mean Anomaly: 320.67267 +/- 20.864
Argument of Peri: 206.49636 +/- 40.682
Long of Asc Node: 126.22701 +/- 0.311
Inclination: 5.36083 +/- 0.051
Eccentricity: 0.19451255 +/- 0.1653
Semi-Major Axis: 46.82428447 +/- 2.3026
Time of Perihelion: 2468455.3948 +/- 6716.9
Perihelion: 37.71637368 +/- 7.9594
Aphelion: 55.93219526 +/- 8.2145
Period (y) 320.4165 +/- 23.63
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 4.55973428 +/- 0.0148
Ecliptic Y -40.37238510 +/- 0.1096
Ecliptic Z 1.89377138 +/- 0.0052
Ecliptic XDOT 0.00276623 +/- 0.0001
Ecliptic YDOT 0.00071898 +/- 0.0005
Ecliptic ZDOT -0.00024927 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 40.67317329 +/- 0.1088
Geocenter to KBO 40.16391162 +/- 0.1107
# Hcoef: 10.75
The following table shows the complete astrometric record for VNH0003. 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 (VNH0003) followed by the observatory code and reference code for the source of the astrometry.
2011 04 28.26809 18 32 45.355 -20 31 07.56 VNH0003 304 2011 04 28.36806 18 32 45.149 -20 31 07.48 VNH0003 304 2011 04 30.39635 18 32 40.899 -20 31 06.02 VNH0003 304 2011 05 06.36821 18 32 26.230 -20 31 04.28 VNH0003 304 2011 05 29.48014 18 31 02.931 -20 31 32.86 24.8R VNH0003 568 2011 05 29.56900 18 31 02.555 -20 31 33.15 25.4R VNH0003 568 2011 05 30.48978 18 30 58.504 -20 31 35.78 26.7R VNH0003 568 2011 05 30.52326 18 30 58.358 -20 31 35.78 25.4R VNH0003 568 2011 05 31.48809 18 30 54.083 -20 31 38.05 27.4R VNH0003 568 2011 05 31.52731 18 30 53.909 -20 31 38.24 26.0R VNH0003 568 2011 05 31.56672 18 30 53.745 -20 31 38.15 27.2R VNH0003 568 2011 06 01.53320 18 30 49.383 -20 31 40.80 25.8R VNH0003 568 2011 06 01.59657 18 30 49.096 -20 31 41.10 26.5R VNH0003 568 2011 06 04.29531 18 30 36.706 -20 31 48.72 27.3R VNH0003 304 2011 06 04.39267 18 30 36.236 -20 31 48.84 26.3R VNH0003 304 2011 07 02.03942 18 28 16.776 -20 33 40.93 VNH0003 304 2011 07 02.14714 18 28 16.205 -20 33 41.39 VNH0003 304 2011 07 02.25740 18 28 15.625 -20 33 41.88 VNH0003 304 2011 07 02.28855 18 28 15.483 -20 33 42.22 27.4R VNH0003 568 2011 07 02.35040 18 28 15.155 -20 33 42.69 27.4R VNH0003 568 2011 07 02.41279 18 28 14.824 -20 33 42.79 26.9R VNH0003 568 2011 07 02.53920 18 28 14.169 -20 33 43.54 26.9R VNH0003 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 -0.05 0.00 -0.00
2 0.0003 -2.88 -0.03 0.24 0.00
3 0.0058 -62.41 -0.02 5.08 -0.00
4 0.0222 -268.06 0.19 18.45 0.00
5 0.0855 -1438.07 -0.34 54.48 0.25
6 0.0857 -1443.36 -0.06 54.48 0.15
7 0.0882 -1500.33 -0.24 54.93 -0.20
8 0.0883 -1502.38 -0.17 55.04 -0.12
9 0.0910 -1562.47 0.01 56.01 0.06
10 0.0911 -1564.92 0.08 55.95 -0.03
11 0.0912 -1567.22 0.31 56.16 0.14
12 0.0938 -1628.55 0.09 56.82 0.07
13 0.0940 -1632.59 0.15 56.73 -0.07
14 0.1014 -1806.81 0.11 58.45 -0.23
15 0.1016 -1813.41 -0.01 58.69 -0.08
16 0.1773 -3775.80 -0.04 47.94 -0.09
17 0.1776 -3783.83 -0.08 47.88 0.02
18 0.1779 -3791.99 -0.03 47.80 0.07
19 0.1780 -3794.00 0.01 47.56 0.04
20 0.1782 -3798.63 -0.02 47.32 -0.10
21 0.1784 -3803.28 -0.02 47.45 0.13
22 0.1787 -3812.51 0.16 47.16 -0.02
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.
VNH0003 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