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: VNH0027
# Created Wed Jun 4 01:12:16 2025
# Orbit generated from Bernstein formalism
# Fitting 8 observations of 8
# Arc: 1.92y
# First observation: 2011/07/02
# Last observation: 2013/06/04
Preliminary a, adot, b, bdot, g, gdot:
-0.000002 0.013018 0.000000 -0.001497 0.020522 0.000000
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# WARNING Fitting with energy constraint
# Chi-squared of fit: 1.71 DOF: 11 RMS: 0.08
# Min/Max residuals: -0.13 0.19
# Exact a, adot, b, bdot, g, gdot:
8.953722E-06 1.337020E-02 -9.390586E-07 -1.543347E-03 2.139479E-02 1.555027E-02
# Covariance matrix:
5.9320E-13 4.9957E-11 -2.9377E-15 -5.6235E-12 7.0909E-11 1.9469E-09
4.9957E-11 2.6530E-08 -1.5224E-12 -2.8896E-09 3.3057E-08 9.9839E-07
-2.9377E-15 -1.5224E-12 4.8947E-13 -8.7665E-14 -1.9504E-12 -5.7658E-11
-5.6235E-12 -2.8896E-09 -8.7665E-14 3.1766E-10 -3.7472E-09 -1.0975E-07
7.0909E-11 3.3057E-08 -1.9504E-12 -3.7472E-09 4.9106E-08 1.2984E-06
1.9469E-09 9.9839E-07 -5.7658E-11 -1.0975E-07 1.2984E-06 3.7946E-05
# lat0 lon0 xBary yBary zBary JD0
2.432015 -82.497294 -0.039171 0.043034 -1.014789 2455744.799246
# Heliocentric elements and errors
Epoch: 2455740.5000 = 2011/06/28
Mean Anomaly: 38.39564 +/- 32.150
Argument of Peri: 26.38001 +/- 10.646
Long of Asc Node: 117.49374 +/- 0.070
Inclination: 6.94977 +/- 0.024
Eccentricity: 0.75975311 +/- 0.1534
Semi-Major Axis: 53.83344920 +/- 28.8454
Time of Perihelion: 2440353.4218 +/- 3612.6
Perihelion: 12.93331854 +/- 10.7796
Aphelion: 94.73357986 +/- 51.4279
Period (y) 394.9904 +/- 317.47
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 6.27327539 +/- 0.0631
Ecliptic Y -47.29990772 +/- 0.4795
Ecliptic Z 1.98338734 +/- 0.0205
Ecliptic XDOT 0.00195440 +/- 0.0001
Ecliptic YDOT -0.00175032 +/- 0.0008
Ecliptic ZDOT -0.00011283 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 47.75530420 +/- 0.4750
Geocenter to KBO 46.74034711 +/- 0.4841
# Hcoef: 10.44
The following table shows the complete astrometric record for VNH0027. 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 (VNH0027) followed by the observatory code and reference code for the source of the astrometry.
2011 07 02.29848 18 32 05.223 -20 47 54.95 VNH0027 568 2011 07 02.36019 18 32 04.906 -20 47 55.20 26.9R VNH0027 568 2011 07 02.42260 18 32 04.599 -20 47 55.52 VNH0027 568 2013 06 03.21352 18 40 35.691 -20 50 39.55 26.9R VNH0027 304 2013 06 03.26782 18 40 35.466 -20 50 39.81 26.9R VNH0027 304 2013 06 04.21079 18 40 31.597 -20 50 43.35 27.1R VNH0027 304 2013 06 04.28933 18 40 31.264 -20 50 43.56 27.0R VNH0027 304 2013 06 04.36291 18 40 30.960 -20 50 43.90 27.1R VNH0027 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 0.19 0.00 -0.04
2 0.0002 -4.45 -0.06 -0.00 0.03
3 0.0003 -8.77 -0.13 -0.08 0.01
4 1.9217 7135.71 -0.01 -609.28 0.14
5 1.9219 7132.54 -0.01 -609.33 0.07
6 1.9245 7078.13 0.01 -609.13 -0.09
7 1.9247 7073.45 -0.03 -609.02 -0.01
8 1.9249 7069.17 0.04 -609.06 -0.10
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.
VNH0027 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