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: VNH0041
# Created Wed Jun 4 01:12:16 2025
# Orbit generated from Bernstein formalism
# Fitting 15 observations of 15
# Arc: 23.24d
# First observation: 2013/06/13
# Last observation: 2013/07/06
Preliminary a, adot, b, bdot, g, gdot:
0.000000 0.027887 -0.000000 0.004875 0.027890 0.000000
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# WARNING Fitting with energy constraint
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# Chi-squared of fit: 6.04 DOF: 25 RMS: 0.11
# Min/Max residuals: -0.16 0.42
# Exact a, adot, b, bdot, g, gdot:
1.355961E-05 2.314831E-02 2.837116E-06 4.889231E-03 2.706039E-02 -1.783176E-02
# Covariance matrix:
2.4312E-11 4.0872E-08 -7.0557E-13 -2.1277E-10 6.7529E-09 4.2026E-08
4.0872E-08 7.0829E-05 -1.2218E-09 -3.6898E-07 1.1697E-05 7.1530E-05
-7.0557E-13 -1.2218E-09 7.2389E-13 -5.9265E-12 -2.0181E-10 -1.2559E-09
-2.1277E-10 -3.6898E-07 -5.9265E-12 2.1765E-09 -6.0913E-08 -3.5584E-07
6.7529E-09 1.1697E-05 -2.0181E-10 -6.0913E-08 1.9318E-06 1.1891E-05
4.2026E-08 7.1530E-05 -1.2559E-09 -3.5584E-07 1.1891E-05 1.2888E-04
# lat0 lon0 xBary yBary zBary JD0
2.519015 -80.435570 0.303634 0.042749 -0.970912 2456456.746148
# Heliocentric elements and errors
Epoch: 2456450.5000 = 2013/06/07
Mean Anomaly: 318.31399 +/- 30.257
Argument of Peri: 128.28777 +/- 24.600
Long of Asc Node: 267.71989 +/- 4.177
Inclination: 12.25058 +/- 4.292
Eccentricity: 0.62061116 +/- 0.3743
Semi-Major Axis: 44.51549733 +/- 19.3134
Time of Perihelion: 2469012.3359 +/- 4037.3
Perihelion: 16.88868279 +/- 18.2001
Aphelion: 72.14231186 +/- 35.4572
Period (y) 297.0127 +/- 193.29
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 5.99710375 +/- 0.3149
Ecliptic Y -37.41165315 +/- 1.8699
Ecliptic Z 1.62431513 +/- 0.0834
Ecliptic XDOT 0.00200009 +/- 0.0009
Ecliptic YDOT 0.00218758 +/- 0.0011
Ecliptic ZDOT 0.00041504 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 37.92407474 +/- 1.8453
Geocenter to KBO 36.95438764 +/- 1.8981
# Hcoef: 11.88
The following table shows the complete astrometric record for VNH0041. 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 (VNH0041) followed by the observatory code and reference code for the source of the astrometry.
2013 06 13.24537 18 40 51.200 -20 34 54.54 27.5R VNH0041 304 2013 06 13.30754 18 40 50.853 -20 34 54.62 27.7R VNH0041 304 2013 07 02.16685 18 39 03.154 -20 35 35.68 27.6R VNH0041 304 2013 07 02.22574 18 39 02.802 -20 35 35.79 27.6R VNH0041 304 2013 07 03.16722 18 38 57.333 -20 35 38.63 25.0R VNH0041 304 2013 07 03.21583 18 38 57.045 -20 35 38.75 25.0R VNH0041 304 2013 07 03.29284 18 38 56.590 -20 35 38.91 24.6R VNH0041 304 2013 07 04.19618 18 38 51.355 -20 35 41.66 27.5R VNH0041 304 2013 07 04.22278 18 38 51.197 -20 35 41.74 28.6R VNH0041 304 2013 07 04.40638 18 38 50.133 -20 35 41.89 27.4R VNH0041 568 2013 07 04.49430 18 38 49.614 -20 35 42.40 VNH0041 568 2013 07 05.40444 18 38 44.346 -20 35 45.28 27.9R VNH0041 568 2013 07 05.48837 18 38 43.846 -20 35 45.29 28.5R VNH0041 568 2013 07 06.31422 18 38 39.076 -20 35 48.10 VNH0041 568 2013 07 06.48552 18 38 38.073 -20 35 48.66 29.4R VNH0041 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 -0.01 0.00 0.00
2 0.0002 -4.87 -0.00 0.26 0.01
3 0.0518 -1516.42 0.08 63.98 -0.03
4 0.0520 -1521.36 0.03 64.21 0.03
5 0.0545 -1598.17 -0.01 66.58 -0.12
6 0.0547 -1602.22 -0.02 66.73 -0.10
7 0.0549 -1608.60 -0.03 67.00 -0.05
8 0.0574 -1682.13 0.03 69.23 -0.16
9 0.0574 -1684.35 0.01 69.30 -0.16
10 0.0579 -1699.27 0.01 70.16 0.42
11 0.0582 -1706.57 -0.01 70.14 0.16
12 0.0607 -1780.57 0.03 72.26 -0.01
13 0.0609 -1787.58 -0.02 72.72 0.23
14 0.0632 -1854.60 -0.07 74.42 -0.09
15 0.0636 -1868.69 0.00 74.81 -0.12
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.
VNH0041 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