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: VNH0048
# Created Wed Jun 4 01:12:17 2025
# Orbit generated from Bernstein formalism
# Fitting 12 observations of 12
# Arc: 9.17d
# First observation: 2013/06/04
# Last observation: 2013/06/13
Preliminary a, adot, b, bdot, g, gdot:
0.000001 0.049745 -0.000001 0.016013 0.036326 0.000000
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# WARNING Fitting with energy constraint
# Chi-squared of fit: 3.52 DOF: 19 RMS: 0.10
# Min/Max residuals: -0.25 0.12
# Exact a, adot, b, bdot, g, gdot:
1.872574E-05 3.972803E-02 7.060079E-06 1.613816E-02 3.451964E-02 -6.708283E-03
# Covariance matrix:
5.8640E-12 1.3112E-08 -3.3433E-13 -1.9075E-10 2.3262E-09 6.0876E-08
1.3112E-08 3.2789E-05 -8.0648E-10 -4.8387E-07 5.7932E-06 1.3409E-04
-3.3433E-13 -8.0648E-10 5.2292E-13 -1.2984E-11 -1.4307E-10 -4.1085E-09
-1.9075E-10 -4.8387E-07 -1.2984E-11 8.8242E-09 -8.5332E-08 -1.7529E-06
2.3262E-09 5.7932E-06 -1.4307E-10 -8.5332E-08 1.0238E-06 2.4061E-05
6.0876E-08 1.3409E-04 -4.1085E-09 -1.7529E-06 2.4061E-05 1.0659E-03
# lat0 lon0 xBary yBary zBary JD0
2.344354 -80.413173 0.445821 0.037432 -0.913379 2456447.712188
# Heliocentric elements and errors
Epoch: 2456440.5000 = 2013/05/28
Mean Anomaly: 328.76295 +/- 72.636
Argument of Peri: 57.38755 +/- 151.688
Long of Asc Node: 273.19015 +/- 0.883
Inclination: 22.33681 +/- 3.129
Eccentricity: 0.25438332 +/- 0.5935
Semi-Major Axis: 37.02188263 +/- 9.1759
Time of Perihelion: 2463579.7684 +/- 16387.6
Perihelion: 27.60413331 +/- 23.0129
Aphelion: 46.43963195 +/- 24.8046
Period (y) 225.2662 +/- 83.75
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 4.53402359 +/- 0.1413
Ecliptic Y -29.51352451 +/- 0.8366
Ecliptic Z 1.18521485 +/- 0.0347
Ecliptic XDOT 0.00300337 +/- 0.0007
Ecliptic YDOT 0.00110032 +/- 0.0025
Ecliptic ZDOT 0.00125727 +/- 0.0001
# Distances at JD0 (AU)
Heliocenter to KBO 29.88327681 +/- 0.8265
Geocenter to KBO 28.96901595 +/- 0.8491
# Hcoef: 14.10
The following table shows the complete astrometric record for VNH0048. 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 (VNH0048) followed by the observatory code and reference code for the source of the astrometry.
2013 06 04.21141 18 41 00.094 -20 45 16.05 27.6R VNH0048 304 2013 06 04.36360 18 40 59.153 -20 45 15.26 28.3R VNH0048 304 2013 06 08.17984 18 40 35.190 -20 44 56.37 29.0R VNH0048 304 2013 06 08.22941 18 40 34.879 -20 44 56.18 29.1R VNH0048 304 2013 06 08.26998 18 40 34.618 -20 44 56.06 28.1R VNH0048 304 2013 06 11.21626 18 40 15.511 -20 44 42.39 28.7R VNH0048 304 2013 06 11.27934 18 40 15.078 -20 44 42.26 28.3R VNH0048 304 2013 06 11.34902 18 40 14.625 -20 44 41.86 28.8R VNH0048 304 2013 06 13.21699 18 40 02.291 -20 44 33.83 29.4R VNH0048 304 2013 06 13.27759 18 40 01.882 -20 44 33.67 28.3R VNH0048 304 2013 06 13.35843 18 40 01.309 -20 44 33.18 28.7R VNH0048 304 2013 06 13.37737 18 40 01.207 -20 44 33.16 27.8R VNH0048 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 -0.11 0.00 0.07
2 0.0004 -13.11 0.07 1.72 0.04
3 0.0109 -347.07 -0.09 44.27 -0.02
4 0.0110 -351.41 0.08 44.76 -0.06
5 0.0111 -355.05 0.12 45.14 -0.14
6 0.0192 -621.46 0.02 77.52 0.08
7 0.0194 -627.51 -0.15 78.08 -0.06
8 0.0195 -633.82 0.02 78.92 0.01
9 0.0247 -805.86 0.08 98.96 0.03
10 0.0248 -811.57 0.10 99.51 -0.06
11 0.0250 -819.56 -0.25 100.56 0.09
12 0.0251 -820.98 0.10 100.68 0.00
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.
VNH0048 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