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: VNH0055
# Created Wed Jun 4 01:12:17 2025
# Orbit generated from Bernstein formalism
# Fitting 14 observations of 14
# Arc: 33.27d
# First observation: 2013/06/03
# Last observation: 2013/07/06
Preliminary a, adot, b, bdot, g, gdot:
0.000000 0.029329 -0.000000 0.003034 0.026008 0.000000
# WARNING Fitting with energy constraint
# Chi-squared of fit: 2.20 DOF: 23 RMS: 0.07
# Min/Max residuals: -0.11 0.14
# Exact a, adot, b, bdot, g, gdot:
1.673191E-05 2.671890E-02 1.918578E-06 3.045561E-03 2.552180E-02 4.849351E-03
# Covariance matrix:
1.6437E-12 2.3764E-09 -2.3149E-13 -1.3711E-11 4.2594E-10 1.5834E-08
2.3764E-09 4.8361E-06 -4.4949E-10 -3.0083E-08 8.5192E-07 2.5182E-05
-2.3149E-13 -4.4949E-10 2.8655E-13 -2.0488E-13 -7.9490E-11 -2.4962E-09
-1.3711E-11 -3.0083E-08 -2.0488E-13 2.5470E-10 -5.2671E-09 -1.4024E-07
4.2594E-10 8.5192E-07 -7.9490E-11 -5.2671E-09 1.5028E-07 4.5385E-06
1.5834E-08 2.5182E-05 -2.4962E-09 -1.4024E-07 4.5385E-06 1.8299E-04
# lat0 lon0 xBary yBary zBary JD0
2.419533 -80.538790 0.458857 0.038350 -0.906691 2456446.718268
# Heliocentric elements and errors
Epoch: 2456440.5000 = 2013/05/28
Mean Anomaly: 36.46281 +/- 27.816
Argument of Peri: 323.68932 +/- 54.831
Long of Asc Node: 259.02332 +/- 1.604
Inclination: 6.95670 +/- 0.535
Eccentricity: 0.22866725 +/- 0.5465
Semi-Major Axis: 47.67775261 +/- 17.5489
Time of Perihelion: 2444261.2720 +/- 6411.3
Perihelion: 36.77541192 +/- 29.3641
Aphelion: 58.58009329 +/- 33.8221
Period (y) 329.2167 +/- 181.76
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 6.13255189 +/- 0.0977
Ecliptic Y -39.58267666 +/- 0.5865
Ecliptic Z 1.65422541 +/- 0.0251
Ecliptic XDOT 0.00290413 +/- 0.0004
Ecliptic YDOT -0.00002816 +/- 0.0014
Ecliptic ZDOT 0.00034853 +/- 0.0001
# Distances at JD0 (AU)
Heliocenter to KBO 40.08906268 +/- 0.5793
Geocenter to KBO 39.18219228 +/- 0.5951
# Hcoef: 13.26
The following table shows the complete astrometric record for VNH0055. 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 (VNH0055) followed by the observatory code and reference code for the source of the astrometry.
2013 06 03.21749 18 40 26.611 -20 41 17.87 29.1R VNH0055 304 2013 06 04.21141 18 40 22.029 -20 41 18.97 28.2R VNH0055 304 2013 06 04.28988 18 40 21.673 -20 41 19.14 29.4R VNH0055 304 2013 06 04.36360 18 40 21.313 -20 41 19.19 29.7R VNH0055 304 2013 06 08.17984 18 40 03.279 -20 41 24.15 29.0R VNH0055 304 2013 06 08.22941 18 40 03.037 -20 41 24.31 29.2R VNH0055 304 2013 06 08.26998 18 40 02.836 -20 41 24.28 29.1R VNH0055 304 2013 07 04.40638 18 37 48.288 -20 42 30.68 VNH0055 568 2013 07 04.49430 18 37 47.823 -20 42 30.95 29.5R VNH0055 568 2013 07 05.40444 18 37 43.030 -20 42 33.91 29.9R VNH0055 568 2013 07 05.48837 18 37 42.592 -20 42 34.16 29.2R VNH0055 568 2013 07 06.31422 18 37 38.267 -20 42 37.07 26.7R VNH0055 568 2013 07 06.40236 18 37 37.781 -20 42 37.45 28.0R VNH0055 568 2013 07 06.48552 18 37 37.343 -20 42 37.60 VNH0055 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 -0.04 0.00 -0.01
2 0.0027 -64.22 -0.06 3.39 -0.01
3 0.0029 -69.21 0.14 3.57 -0.10
4 0.0031 -74.26 -0.02 3.87 -0.07
5 0.0136 -327.05 -0.01 16.52 0.10
6 0.0137 -330.45 -0.00 16.60 0.02
7 0.0138 -333.26 -0.02 16.82 0.11
8 0.0854 -2221.46 -0.05 78.12 -0.08
9 0.0856 -2227.99 0.04 78.28 -0.06
10 0.0881 -2295.30 -0.07 79.75 0.06
11 0.0884 -2301.45 0.09 79.91 0.08
12 0.0906 -2362.20 0.11 80.99 -0.02
13 0.0909 -2369.03 -0.11 81.06 -0.07
14 0.0911 -2375.17 -0.01 81.31 0.06
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.
VNH0055 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