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: 04TU357
# Created Sun Dec 22 02:08:43 2024
# Orbit generated from Bernstein formalism
# Fitting 8 observations of 8
# Arc: 49.98d
# First observation: 2004/09/21
# Last observation: 2004/11/10
Preliminary a, adot, b, bdot, g, gdot:
0.000000 0.051086 -0.000001 0.005150 0.036715 0.000000
# Chi-squared of fit: 3.03 DOF: 10 RMS: 0.11
# Min/Max residuals: -0.28 0.27
# Exact a, adot, b, bdot, g, gdot:
2.124990E-05 4.788136E-02 2.145474E-06 5.163064E-03 3.589973E-02 8.575711E-03
# Covariance matrix:
5.8096E-13 2.2610E-10 -8.3992E-14 -3.2744E-12 4.8341E-11 2.3072E-09
2.2610E-10 5.5635E-07 -1.9182E-10 -8.6811E-09 1.1378E-07 4.7008E-06
-8.3992E-14 -1.9182E-10 4.8813E-13 -6.0430E-13 -3.9335E-11 -1.6481E-09
-3.2744E-12 -8.6811E-09 -6.0430E-13 1.9021E-10 -1.7690E-09 -7.1596E-08
4.8341E-11 1.1378E-07 -3.9335E-11 -1.7690E-09 2.3300E-08 9.6919E-07
2.3072E-09 4.7008E-06 -1.6481E-09 -7.1596E-08 9.6919E-07 4.1803E-05
# lat0 lon0 xBary yBary zBary JD0
3.452497 44.381753 0.723242 0.042364 -0.700986 2453269.806420
# Heliocentric elements and errors
Epoch: 2453260.5000 = 2004/09/12
Mean Anomaly: 14.34928 +/- 8.031
Argument of Peri: 355.92678 +/- 20.029
Long of Asc Node: 14.70502 +/- 0.457
Inclination: 7.08960 +/- 0.104
Eccentricity: 0.36764378 +/- 0.1213
Semi-Major Axis: 43.26913201 +/- 5.3407
Time of Perihelion: 2449116.7511 +/- 2188.5
Perihelion: 27.36150470 +/- 6.2409
Aphelion: 59.17675933 +/- 8.9941
Period (y) 284.6266 +/- 52.70
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 20.87513623 +/- 0.0845
Ecliptic Y 19.42341513 +/- 0.0827
Ecliptic Z 1.67755826 +/- 0.0071
Ecliptic XDOT -0.00210608 +/- 0.0003
Ecliptic YDOT 0.00304275 +/- 0.0004
Ecliptic ZDOT 0.00043253 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 28.56316806 +/- 0.0835
Geocenter to KBO 27.85535914 +/- 0.1184
# Hcoef: 8.13
The following table shows the complete astrometric record for 04TU357. 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 (04TU357) followed by the observatory code and reference code for the source of the astrometry.
2004 09 21.305677 02 43 20.96 +19 26 56.1 22.3V 04TU357 645 C~1SKy 2004 09 21.306506 02 43 20.96 +19 26 56.1 22.5V 04TU357 645 C~1SKy 2004 09 21.308994 02 43 20.95 +19 26 56.0 23.3V 04TU357 645 C~1SKy 2004 10 15.34216 02 41 08.45 +19 19 59.6 22.5R 04TU357 695 Cm0609 2004 10 15.45336 02 41 07.76 +19 19 57.3 04TU357 695 Cm0609 2004 11 09.21096 02 38 19.57 +19 08 58.0 22.5R 04TU357 695 Cm0609 2004 11 09.30333 02 38 18.93 +19 08 55.2 04TU357 695 Cm0609 2004 11 10.28644 02 38 12.14 +19 08 26.6 04TU357 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 -0.03 0.00 0.03
2 0.0000 0.00 0.02 0.00 0.02
3 0.0000 -0.17 0.01 -0.05 -0.06
4 0.0658 -1913.01 -0.28 171.22 -0.04
5 0.0661 -1923.02 0.27 172.00 0.06
6 0.1339 -4392.99 0.00 274.47 0.04
7 0.1341 -4402.48 0.08 274.61 -0.10
8 0.1368 -4502.87 -0.08 277.08 0.05
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.
04TU357 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