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: 04OS15
# Created Thu May 24 01:37:28 2012
# Orbit generated from Bernstein formalism
# Fitting 17 observations of 18
# Arc: 3.88y
# First observation: 2004/07/22
# Last observation: 2008/06/07
Preliminary a, adot, b, bdot, g, gdot:
-0.000096 0.029443 0.000009 -0.002159 0.025899 0.000000
# Chi-squared of fit: 10.13 DOF: 28 RMS: 0.14
# Min/Max residuals: -0.31 0.26
# Exact a, adot, b, bdot, g, gdot:
1.808010E-05 2.920204E-02 -2.122771E-06 -2.143219E-03 2.598155E-02 -3.890664E-03
# Covariance matrix:
2.6178E-13 -1.9824E-13 -1.3407E-15 4.9851E-15 1.5028E-13 -6.9852E-13
-1.9824E-13 4.5747E-13 8.6870E-15 -2.6053E-14 8.6982E-14 3.6384E-12
-1.3407E-15 8.6870E-15 1.6985E-13 -7.3414E-14 6.7892E-15 9.2875E-14
4.9851E-15 -2.6053E-14 -7.3414E-14 6.5613E-14 -1.7072E-14 -2.7002E-13
1.5028E-13 8.6982E-14 6.7892E-15 -1.7072E-14 6.2645E-13 2.3762E-12
-6.9852E-13 3.6384E-12 9.2875E-14 -2.7002E-13 2.3762E-12 3.7689E-11
# lat0 lon0 xBary yBary zBary JD0
0.658340 -65.199539 -0.093443 0.011717 -1.014940 2453208.949903
# Heliocentric elements and errors
Epoch: 2453200.5000 = 2004/07/14
Mean Anomaly: 344.01246 +/- 0.020
Argument of Peri: 202.73698 +/- 0.043
Long of Asc Node: 123.58823 +/- 0.001
Inclination: 4.25426 +/- 0.000
Eccentricity: 0.31359767 +/- 0.0002
Semi-Major Axis: 55.53368233 +/- 0.0128
Time of Perihelion: 2459913.4317 +/- 8.3
Perihelion: 38.11844886 +/- 0.0134
Aphelion: 72.94891579 +/- 0.0197
Period (y) 413.8500 +/- 0.14
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 16.65058906 +/- 0.0005
Ecliptic Y -35.81733247 +/- 0.0011
Ecliptic Z 0.44218651 +/- 0.0000
Ecliptic XDOT 0.00262043 +/- 0.0000
Ecliptic YDOT 0.00165357 +/- 0.0000
Ecliptic ZDOT -0.00023043 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 39.50087278 +/- 0.0010
Geocenter to KBO 38.48885252 +/- 0.0012
# Hcoef: 7.76
The following table shows the complete astrometric record for 04OS15. 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 (04OS15) followed by the observatory code and reference code for the source of the astrometry.
2004 07 22.44916 19 46 25.34 -20 31 10.2 23.4g 04OS15 568 C~0X5X 2004 07 22.47696 19 46 25.19 -20 31 10.6 23.3g 04OS15 568 C~0X5X 2004 07 22.50053 19 46 25.08 -20 31 11.0 23.5g 04OS15 568 C~0X5X 2004 07 23.40162 19 46 20.44 -20 31 24.1 04OS15 568 C~0X5X 2004 09 11.26870 19 42 55.27 -20 41 24.0 04OS15 568 C~0X5X 2004 09 11.31874 19 42 55.13 -20 41 24.5 23.2i 04OS15 568 C~0X5X 2004 09 11.36527 19 42 55.02 -20 41 24.7 23.0i 04OS15 568 C~0X5X 2005 07 09.34045 19 54 42.41 -20 16 34.7 04OS15 675 C~0X5X 2005 07 09.39009 19 54 42.17 -20 16 35.6 04OS15 675 C~0X5X 2005 08 03.31290 19 52 34.45 -20 22 53.5 04OS15 309 C~0X5X 2005 09 26.15948 19 49 31.50 -20 32 33.8 04OS15 695 C~0X5X 2005 09 26.22250 19 49 31.43 -20 32 34.1 04OS15 695 C~0X5X 2006 07 26.24589 20 00 27.18 -20 08 27.6 04OS15 675 C~0X5X 2006 07 26.28633 20 00 26.95 -20 08 28.3 04OS15 675 C~0X5X 2007 05 16.41857 20 12 15.74 -19 39 29.3 04OS15 675 C~0X5X 2007 05 16.45495 20 12 15.71 -19 39 29.4 04OS15 675 C~0X5X 2008 06 07.31146 20 18 33.02 -19 27 23.1 04OS15 807 C~0X5X 2008 06 07.38708 20 18 32.74 -19 27 23.7 04OS15 807 C~0X5X
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 -0.06 0.00 0.17 2 0.0001 -2.14 -0.12 -0.02 0.18 3 0.0001 -3.74 0.06 -0.14 0.08 4 0.0026 -70.21 -0.04 -1.42 0.02 5 0.1391 -3011.63 0.16 -86.61 0.00 6 0.1393 -3013.65 -0.06 -86.76 -0.07 7 0.1394 -3015.21 0.06 -86.69 0.08 8 0.9634 7032.81 0.03 -428.10 -0.11 9 0.9636 7029.32 0.23 -428.34 -0.31 10 1.0318 5192.18 -0.05 -459.93 -0.09 11 1.1792 2557.13 -0.17 -554.24 0.10 12 1.1794 2556.11 -0.06 -554.36 0.08 13 2.0090 11898.41 0.20 -896.61 -0.20 14 2.0091 11895.09 -0.06 -896.65 -0.19 15 2.8144 22106.27 -0.27 -1274.93 0.00 16 2.8145 22105.83 0.04 -1274.93 0.03 17 3.8764 27546.06 0.10 -1749.17 0.26 18 3.8766 27542.00 ( -0.28) -1748.86 ( 0.63)
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.
04OS15 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 55.802 55.841 55.764 ecceobj 0.318 0.319 0.318 incobj 4.247 4.247 4.248 qmin 37.934 37.942 37.911 qmax 74.098 74.137 74.063 amean 55.869 55.910 55.820 amin 55.698 55.750 55.612 amax 56.016 56.053 55.987 emean 0.317 0.318 0.316 emin 0.311 0.312 0.310 emax 0.323 0.323 0.323 imean 2.845 2.830 2.873 imin 2.430 2.439 2.414 imax 3.304 3.183 3.288 excite_mean 0.321 0.321 0.320 fracstop 1.000 1.000 1.000 cjmean 3.120 3.120 3.120 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 177.9 178.2 179.4 kozaiamp 179.9 180.0 180.0