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: 04TW357
# Created Sun Dec 22 02:08:43 2024
# Orbit generated from Bernstein formalism
# Fitting 4 observations of 4
# Arc: 24.97d
# First observation: 2004/10/15
# Last observation: 2004/11/09
# WARNING Fitting with energy constraint
# WARNING and with gdot fixed = 0
# Chi-squared of fit: 3.85 DOF: 4 RMS: 0.17
# Min/Max residuals: -0.29 0.29
# Exact a, adot, b, bdot, g, gdot:
1.386949E-05 2.823770E-02 1.078629E-05 2.047051E-02 3.128805E-02 0.000000E+00
# Covariance matrix:
8.8819E-11 1.7799E-07 -2.5306E-12 -4.0370E-09 2.9350E-08 0.0000E+00
1.7799E-07 3.5967E-04 -5.1134E-09 -8.1571E-06 5.9306E-05 0.0000E+00
-2.5306E-12 -5.1134E-09 7.9966E-13 1.0529E-10 -8.4314E-10 0.0000E+00
-4.0370E-09 -8.1571E-06 1.0529E-10 1.8532E-07 -1.3450E-06 0.0000E+00
2.9350E-08 5.9306E-05 -8.4314E-10 -1.3450E-06 9.7789E-06 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 4.0305E-04
# lat0 lon0 xBary yBary zBary JD0
4.587197 51.152583 0.485188 0.070081 -0.872327 2453293.870563
# Heliocentric elements and errors
Epoch: 2453290.5000 = 2004/10/12
Mean Anomaly: 335.40160 +/- 175.846
Argument of Peri: 33.89486 +/- 242.057
Long of Asc Node: 44.20665 +/- 4.262
Inclination: 36.29423 +/- 18.722
Eccentricity: 0.03534798 +/- 0.5869
Semi-Major Axis: 33.91760411 +/- 17.2667
Time of Perihelion: 2458220.4282 +/- 179503.0
Perihelion: 32.71868540 +/- 25.9550
Aphelion: 35.11652282 +/- 26.7547
Period (y) 197.5359 +/- 150.84
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 20.90555071 +/- 1.9975
Ecliptic Y 25.19052579 +/- 2.4797
Ecliptic Z 2.55647489 +/- 0.2555
Ecliptic XDOT -0.00201569 +/- 0.0015
Ecliptic YDOT 0.00143118 +/- 0.0016
Ecliptic ZDOT 0.00178562 +/- 0.0003
# Distances at JD0 (AU)
Heliocenter to KBO 32.83504536 +/- 2.2884
Geocenter to KBO 31.96108565 +/- 3.1944
# Hcoef: 7.65
The following table shows the complete astrometric record for 04TW357. 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 (04TW357) followed by the observatory code and reference code for the source of the astrometry.
2004 10 15.36982 03 09 41.12 +22 28 07.8 21.4R 04TW357 695 Cm0609 2004 10 15.48300 03 09 40.41 +22 28 07.1 04TW357 695 Cm0609 2004 11 09.24879 03 06 56.85 +22 23 25.8 23.5R 04TW357 695 Cm0609 2004 11 09.34126 03 06 56.19 +22 23 23.8 04TW357 695 Cm0609
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 0.08 0.00 -0.09
2 0.0003 -9.67 -0.08 1.98 0.09
3 0.0681 -2268.49 0.15 348.63 0.29
4 0.0684 -2277.84 -0.15 349.22 -0.29
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.
04TW357 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