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: VNH0044
# Created Wed Jun 4 01:12:16 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:
0.000001 0.020333 -0.000000 -0.001001 0.022272 0.000000
# WARNING Fitting with energy constraint
# Chi-squared of fit: 6.23 DOF: 23 RMS: 0.12
# Min/Max residuals: -0.19 0.26
# Exact a, adot, b, bdot, g, gdot:
1.423037E-05 1.961839E-02 -7.639765E-07 -9.945150E-04 2.211601E-02 7.143285E-03
# Covariance matrix:
1.1107E-12 1.5856E-09 -1.0374E-13 -1.0692E-11 2.7892E-10 8.6725E-09
1.5856E-09 3.8149E-06 -2.4474E-10 -2.5071E-08 6.5549E-07 1.2580E-05
-1.0374E-13 -2.4474E-10 2.5790E-13 -1.3835E-12 -4.2105E-11 -8.3743E-10
-1.0692E-11 -2.5071E-08 -1.3835E-12 2.3027E-10 -4.3151E-09 -8.6863E-08
2.7892E-10 6.5549E-07 -4.2105E-11 -4.3151E-09 1.1280E-07 2.2606E-06
8.6725E-09 1.2580E-05 -8.3743E-10 -8.6863E-08 2.2606E-06 9.8441E-05
# lat0 lon0 xBary yBary zBary JD0
1.879930 -80.260656 0.462669 0.029746 -0.905080 2456446.756798
# Heliocentric elements and errors
Epoch: 2456440.5000 = 2013/05/28
Mean Anomaly: 64.30463 +/- 62.790
Argument of Peri: 44.00813 +/- 37.576
Long of Asc Node: 131.90792 +/- 2.472
Inclination: 3.40476 +/- 0.230
Eccentricity: 0.33486038 +/- 0.4426
Semi-Major Axis: 47.97260178 +/- 21.2392
Time of Perihelion: 2434762.0566 +/- 15518.3
Perihelion: 31.90847806 +/- 25.5038
Aphelion: 64.03672550 +/- 35.4214
Period (y) 332.2753 +/- 220.67
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 7.34307162 +/- 0.1161
Ecliptic Y -45.50858469 +/- 0.6764
Ecliptic Z 1.48330791 +/- 0.0225
Ecliptic XDOT 0.00253753 +/- 0.0004
Ecliptic YDOT -0.00046447 +/- 0.0012
Ecliptic ZDOT -0.00009390 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 46.12106009 +/- 0.6677
Geocenter to KBO 45.21611069 +/- 0.6867
# Hcoef: 12.95
The following table shows the complete astrometric record for VNH0044. 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 (VNH0044) followed by the observatory code and reference code for the source of the astrometry.
2013 06 03.25602 18 41 47.707 -21 12 24.46 28.4R VNH0044 304 2013 06 04.40098 18 41 42.968 -21 12 28.39 VNH0044 304 2013 06 05.27974 18 41 39.315 -21 12 31.73 VNH0044 304 2013 06 06.27359 18 41 35.126 -21 12 35.64 VNH0044 304 2013 06 06.33022 18 41 34.874 -21 12 35.67 29.5R VNH0044 304 2013 06 07.20322 18 41 31.182 -21 12 38.98 29.5R VNH0044 304 2013 06 07.24566 18 41 31.001 -21 12 39.36 28.9R VNH0044 304 2013 07 02.19824 18 39 36.775 -21 14 33.22 29.5R VNH0044 304 2013 07 02.24782 18 39 36.516 -21 14 33.39 29.7R VNH0044 304 2013 07 05.36127 18 39 21.837 -21 14 49.34 VNH0044 568 2013 07 05.44642 18 39 21.429 -21 14 49.95 VNH0044 568 2013 07 05.52783 18 39 21.050 -21 14 50.40 28.4R VNH0044 568 2013 07 06.44424 18 39 16.762 -21 14 55.36 29.4R VNH0044 568 2013 07 06.52829 18 39 16.354 -21 14 55.76 29.6R VNH0044 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 0.0031 -66.38 -0.02 0.86 0.17
3 0.0055 -117.57 0.06 1.21 0.06
4 0.0083 -176.28 0.00 1.52 -0.14
5 0.0084 -179.80 -0.10 1.74 0.04
6 0.0108 -231.53 0.04 2.15 0.04
7 0.0109 -234.08 0.08 1.95 -0.17
8 0.0792 -1835.33 0.16 0.55 -0.19
9 0.0794 -1838.95 -0.13 0.63 -0.09
10 0.0879 -2044.80 -0.15 -1.21 0.26
11 0.0881 -2050.54 -0.16 -1.43 0.10
12 0.0884 -2055.85 -0.02 -1.52 0.06
13 0.0909 -2116.01 0.20 -2.37 -0.09
14 0.0911 -2121.73 0.10 -2.38 -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.
VNH0044 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