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: VNH0024
# Created Wed Jun 4 01:12:16 2025
# Orbit generated from Bernstein formalism
# Fitting 23 observations of 23
# Arc: 2.94d
# First observation: 2012/04/17
# Last observation: 2012/04/20
Preliminary a, adot, b, bdot, g, gdot:
-0.000000 0.032908 0.000000 0.002240 0.028851 0.000000
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# WARNING Fitting with energy constraint
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# Chi-squared of fit: 1.72 DOF: 41 RMS: 0.05
# Min/Max residuals: -0.09 0.16
# Exact a, adot, b, bdot, g, gdot:
1.766124E-05 3.216936E-02 1.555029E-06 2.304111E-03 2.847252E-02 4.125546E-05
# Covariance matrix:
5.3043E-12 1.0432E-08 -5.7064E-13 -1.0153E-09 5.1656E-09 1.3470E-09
1.0432E-08 2.1535E-05 -1.1730E-09 -2.0870E-06 1.0618E-05 2.4318E-06
-5.7064E-13 -1.1730E-09 2.7415E-13 7.4722E-11 -5.7863E-10 -1.6606E-10
-1.0153E-09 -2.0870E-06 7.4722E-11 2.1275E-07 -1.0295E-06 -2.0488E-07
5.1656E-09 1.0618E-05 -5.7863E-10 -1.0295E-06 5.2380E-06 1.2707E-06
1.3470E-09 2.4318E-06 -1.6606E-10 -2.0488E-07 1.2707E-06 8.0477E-04
# lat0 lon0 xBary yBary zBary JD0
1.899426 -80.924308 0.955234 0.010591 -0.319280 2456034.841006
# Heliocentric elements and errors
Epoch: 2456030.5000 = 2012/04/13
Mean Anomaly: 351.38075 +/- 274.395
Argument of Peri: 36.16005 +/- 17.976
Long of Asc Node: 253.23386 +/- 7.366
Inclination: 4.56433 +/- 1.276
Eccentricity: 0.15145366 +/- 0.1612
Semi-Major Axis: 41.66414231 +/- 0.8741
Time of Perihelion: 2458382.3477 +/- 74871.4
Perihelion: 35.35395535 +/- 6.7574
Aphelion: 47.97432928 +/- 6.7915
Period (y) 268.9378 +/- 8.46
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 4.64747361 +/- 0.4450
Ecliptic Y -35.12708729 +/- 2.7863
Ecliptic Z 1.16417358 +/- 0.0936
Ecliptic XDOT 0.00304911 +/- 0.0005
Ecliptic YDOT 0.00049496 +/- 0.0027
Ecliptic ZDOT 0.00022167 +/- 0.0001
# Distances at JD0 (AU)
Heliocenter to KBO 35.45231407 +/- 2.7613
Geocenter to KBO 35.12158086 +/- 2.8231
# Hcoef: 12.16
The following table shows the complete astrometric record for VNH0024. 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 (VNH0024) followed by the observatory code and reference code for the source of the astrometry.
2012 04 17.34024 18 38 57.004 -21 14 00.99 27.6R VNH0024 304 2012 04 17.34199 18 38 57.001 -21 14 00.94 VNH0024 304 2012 04 17.38720 18 38 56.949 -21 14 00.77 VNH0024 304 2012 04 17.41592 18 38 56.928 -21 14 00.68 VNH0024 304 2012 04 18.26755 18 38 56.129 -21 13 57.56 VNH0024 304 2012 04 18.31485 18 38 56.080 -21 13 57.39 VNH0024 304 2012 04 18.36265 18 38 56.024 -21 13 57.30 VNH0024 304 2012 04 18.40410 18 38 55.979 -21 13 57.11 27.9R VNH0024 304 2012 04 18.40528 18 38 55.976 -21 13 57.09 VNH0024 304 2012 04 19.30535 18 38 55.038 -21 13 53.89 VNH0024 304 2012 04 19.30697 18 38 55.034 -21 13 53.96 26.2R VNH0024 304 2012 04 19.31726 18 38 55.018 -21 13 53.95 26.4R VNH0024 304 2012 04 19.33912 18 38 54.986 -21 13 53.93 26.7R VNH0024 304 2012 04 19.35214 18 38 54.968 -21 13 53.86 VNH0024 304 2012 04 19.36184 18 38 54.957 -21 13 53.83 26.8R VNH0024 304 2012 04 19.36529 18 38 54.952 -21 13 53.80 28.0R VNH0024 304 2012 04 19.39518 18 38 54.918 -21 13 53.69 27.8R VNH0024 304 2012 04 19.39905 18 38 54.910 -21 13 53.70 VNH0024 304 2012 04 19.40424 18 38 54.903 -21 13 53.67 27.7R VNH0024 304 2012 04 19.41581 18 38 54.886 -21 13 53.67 27.6R VNH0024 304 2012 04 20.25767 18 38 53.913 -21 13 50.81 28.1R VNH0024 304 2012 04 20.26766 18 38 53.897 -21 13 50.77 28.0R VNH0024 304 2012 04 20.28166 18 38 53.875 -21 13 50.77 27.9R VNH0024 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 -0.06
2 0.0000 -0.04 0.03 0.05 -0.01
3 0.0001 -0.75 -0.07 0.27 0.01
4 0.0002 -1.04 0.03 0.38 -0.02
5 0.0025 -11.98 -0.02 4.25 0.03
6 0.0027 -12.65 0.01 4.46 0.04
7 0.0028 -13.42 -0.04 4.60 -0.03
8 0.0029 -14.04 -0.02 4.84 0.02
9 0.0029 -14.08 -0.05 4.86 0.04
10 0.0054 -26.95 0.16 8.93 0.10
11 0.0054 -27.01 0.13 8.87 0.02
12 0.0054 -27.23 0.07 8.89 0.00
13 0.0055 -27.68 -0.01 8.94 -0.04
14 0.0055 -27.92 -0.03 9.03 -0.01
15 0.0055 -28.07 -0.02 9.07 -0.01
16 0.0055 -28.14 -0.03 9.10 0.01
17 0.0056 -28.61 0.01 9.25 0.01
18 0.0056 -28.72 -0.04 9.24 -0.01
19 0.0057 -28.82 -0.05 9.28 0.01
20 0.0057 -29.05 -0.09 9.30 -0.03
21 0.0080 -42.44 0.04 13.06 -0.02
22 0.0080 -42.66 -0.00 13.12 -0.00
23 0.0081 -42.96 -0.06 13.14 -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.
VNH0024 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