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: 04VN78
# Created Wed Dec 4 02:08:41 2024
# Orbit generated from Bernstein formalism
# Fitting 6 observations of 6
# Arc: 30.01d
# First observation: 2004/11/11
# Last observation: 2004/12/11
Preliminary a, adot, b, bdot, g, gdot:
-0.000000 0.054837 -0.000001 -0.000184 0.034533 0.000000
# WARNING Fitting with energy constraint
# Chi-squared of fit: 6.42 DOF: 7 RMS: 0.18
# Min/Max residuals: -0.34 0.33
# Exact a, adot, b, bdot, g, gdot:
1.930915E-05 3.876705E-02 -1.911007E-07 -2.752054E-04 3.199267E-02 -8.720510E-03
# Covariance matrix:
3.7939E-12 6.1389E-09 -1.8591E-13 3.5209E-11 9.4679E-10 -1.7911E-08
6.1389E-09 1.2343E-05 -3.7362E-10 7.0752E-08 1.8970E-06 -3.7757E-05
-1.8591E-13 -3.7362E-10 7.1592E-13 -1.1730E-11 -5.7411E-11 1.1501E-09
3.5209E-11 7.0752E-08 -1.1730E-11 6.0567E-10 1.0872E-08 -2.1766E-07
9.4679E-10 1.8970E-06 -5.7411E-11 1.0872E-08 2.9169E-07 -5.7425E-06
-1.7911E-08 -3.7757E-05 1.1501E-09 -2.1766E-07 -5.7425E-06 1.4604E-04
# lat0 lon0 xBary yBary zBary JD0
3.183292 58.291167 0.160336 0.054476 -0.977718 2453320.824263
# Heliocentric elements and errors
Epoch: 2453320.5000 = 2004/11/11
Mean Anomaly: 332.33481 +/- 17.684
Argument of Peri: 152.48098 +/- 20.307
Long of Asc Node: 320.50736 +/- 0.865
Inclination: 3.11338 +/- 0.008
Eccentricity: 0.33864438 +/- 0.3948
Semi-Major Axis: 43.48362830 +/- 17.7885
Time of Perihelion: 2461369.0611 +/- 1441.5
Perihelion: 28.75814188 +/- 20.8129
Aphelion: 58.20911471 +/- 29.3566
Period (y) 286.7457 +/- 175.96
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 17.04982498 +/- 0.2770
Ecliptic Y 27.30014709 +/- 0.4482
Ecliptic Z 1.73571449 +/- 0.0293
Ecliptic XDOT -0.00321447 +/- 0.0007
Ecliptic YDOT 0.00110375 +/- 0.0008
Ecliptic ZDOT -0.00006487 +/- 0.0001
# Distances at JD0 (AU)
Heliocenter to KBO 32.23363566 +/- 0.4069
Geocenter to KBO 31.25715629 +/- 0.5277
# Hcoef: 7.86
The following table shows the complete astrometric record for 04VN78. 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 (04VN78) followed by the observatory code and reference code for the source of the astrometry.
2004 11 11.32352 03 41 06.40 +22 52 53.5 21.9R 04VN78 695 Cm1784 2004 11 11.45978 03 41 05.51 +22 52 50.7 04VN78 695 Cm1784 2004 12 04.34419 03 38 37.31 +22 44 36.6 22.8R 04VN78 688 Cm1784 2004 12 04.39433 03 38 37.01 +22 44 35.9 04VN78 688 Cm1784 2004 12 11.26758 03 37 55.16 +22 42 02.5 23.0R 04VN78 688 Cm1784 2004 12 11.33400 03 37 54.71 +22 42 01.1 04VN78 688 Cm1784
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 -0.03 0.00 0.01
2 0.0004 -12.61 0.03 0.06 -0.04
3 0.0630 -2120.50 -0.16 -11.68 -0.13
4 0.0632 -2124.70 0.17 -11.40 0.24
5 0.0820 -2723.60 0.33 -26.53 -0.17
6 0.0822 -2729.98 -0.34 -26.44 0.08
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.
04VN78 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