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: 00FZ53
# Created Thu May 24 01:37:03 2012
# Orbit generated from Bernstein formalism
# Fitting 18 observations of 19
# Arc: 2.03y
# First observation: 2000/03/31
# Last observation: 2002/04/10
Preliminary a, adot, b, bdot, g, gdot:
-0.000232 0.084333 0.000311 0.058489 0.063991 0.000000
# Chi-squared of fit: 28.59 DOF: 30 RMS: 0.22
# Min/Max residuals: -0.40 0.39
# Exact a, adot, b, bdot, g, gdot:
2.240537E-05 9.050330E-02 1.407417E-05 6.311734E-02 6.628440E-02 4.630879E-02
# Covariance matrix:
2.0840E-13 -4.2905E-13 3.0633E-14 -2.2928E-13 1.2945E-13 -1.9655E-12
-4.2905E-13 2.8627E-12 -2.5091E-13 1.9319E-12 -2.1769E-13 1.6558E-11
3.0633E-14 -2.5091E-13 1.6802E-13 -2.6958E-13 1.7477E-14 -1.5299E-12
-2.2928E-13 1.9319E-12 -2.6958E-13 1.5207E-12 -1.0334E-13 1.1808E-11
1.2945E-13 -2.1769E-13 1.7477E-14 -1.0334E-13 5.0409E-13 -8.8718E-13
-1.9655E-12 1.6558E-11 -1.5299E-12 1.1808E-11 -8.8718E-13 1.0120E-10
# lat0 lon0 xBary yBary zBary JD0
2.648879 -153.050507 0.271956 0.044555 -0.967932 2451635.072883
# Heliocentric elements and errors
Epoch: 2451630.5000 = 2000/03/27
Mean Anomaly: 27.38871 +/- 0.009
Argument of Peri: 291.04831 +/- 0.004
Long of Asc Node: 202.40391 +/- 0.000
Inclination: 34.90157 +/- 0.000
Eccentricity: 0.47830168 +/- 0.0001
Semi-Major Axis: 23.66910237 +/- 0.0050
Time of Perihelion: 2448430.5720 +/- 0.3
Perihelion: 12.34813089 +/- 0.0039
Aphelion: 34.99007386 +/- 0.0079
Period (y) 115.1545 +/- 0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -14.41404452 +/- 0.0001
Ecliptic Y -7.02355021 +/- 0.0001
Ecliptic Z 0.69746713 +/- 0.0000
Ecliptic XDOT 0.00009220 +/- 0.0000
Ecliptic YDOT -0.00413688 +/- 0.0000
Ecliptic ZDOT 0.00269277 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 16.04934258 +/- 0.0001
Geocenter to KBO 15.08650605 +/- 0.0002
# Hcoef: 11.41
The following table shows the complete astrometric record for 00FZ53. 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 (00FZ53) followed by the observatory code and reference code for the source of the astrometry.
2000 03 31.57214 13 43 53.05 -07 54 49.1 23.1R 00FZ53 568 Cb4248 2000 03 31.59545 13 43 52.82 -07 54 46.8 23.1R 00FZ53 568 Cb4248 2000 04 06.55593 13 42 51.83 -07 44 54.7 23.3R 00FZ53 568 Cb4248 2000 04 06.59803 13 42 51.39 -07 44 50.5 23.2R 00FZ53 568 Cb4248 2000 04 07.58167 13 42 41.12 -07 43 12.4 23.2R 00FZ53 568 Cb4248 2000 04 07.61907 13 42 40.75 -07 43 08.8 23.2R 00FZ53 568 Cb4248 2000 05 07.39380 13 37 32.75 -06 55 20.0 23.4R 00FZ53 568 Cb5724 2000 05 07.43628 13 37 32.32 -06 55 16.3 23.6R 00FZ53 568 Cb5724 2000 05 30.39853 13 34 27.14 -06 25 39.2 23.4R 00FZ53 568 Cb5724 2000 05 30.43476 13 34 26.93 -06 25 36.8 23.5R 00FZ53 568 Cb5724 2001 02 17.61409 14 11 43.37 -07 23 08.9 22.9R 00FZ53 568 Cc6644 2001 02 17.63196 14 11 43.33 -07 23 07.8 23.1R 00FZ53 568 Cc6644 2001 02 18.56115 14 11 41.48 -07 22 07.6 23.0R 00FZ53 568 Cc6644 2001 02 25.62977 14 11 20.73 -07 13 58.8 23.0R 00FZ53 568 Cd0818 2001 02 25.65918 14 11 20.58 -07 13 56.0 00FZ53 568 Cd0818 2002 04 09.56737 14 27 37.70 -04 47 20.6 00FZ53 568 Ch3100 2002 04 09.59178 14 27 37.48 -04 47 18.2 00FZ53 568 Ch3100 2002 04 10.57001 14 27 28.31 -04 45 50.5 00FZ53 568 Ch3100 2002 04 10.60810 14 27 27.95 -04 45 47.1 00FZ53 568 Ch3100
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 -0.17 0.00 0.20 2 0.0001 -4.01 -0.05 0.92 0.24 3 0.0164 -1062.31 -0.16 229.01 0.22 4 0.0165 -1069.92 -0.08 230.58 0.24 5 0.0192 -1247.60 -0.26 267.42 0.04 6 0.0193 -1254.03 0.16 268.81 0.04 7 0.1008 -6564.17 0.28 1296.00 -0.15 8 0.1009 -6571.48 0.10 1297.13 -0.29 9 0.1638 -9791.92 -0.16 1955.85 -0.34 10 0.1639 -9795.72 0.16 1956.96 -0.16 11 0.8844 22702.51 -0.13 10530.24 -0.19 12 0.8845 22701.56 -0.14 10531.07 -0.25 13 0.8870 22654.58 0.39 10578.47 -0.12 14 0.9064 22191.89 ( 0.98) 10933.45 ( -0.08) 15 0.9065 22188.80 0.26 10935.32 0.36 16 2.0233 33214.02 -0.28 24452.25 -0.40 17 2.0233 33210.00 -0.17 24453.39 -0.12 18 2.0260 33046.49 0.08 24489.01 0.32 19 2.0261 33040.09 0.17 24490.36 0.34
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.
00FZ53 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 23.659 23.674 23.644 ecceobj 0.478 0.478 0.478 incobj 34.904 34.904 34.904 qmin 12.378 12.355 12.363 qmax 35.249 35.268 35.206 amean 23.814 23.955 23.735 amin 23.680 23.636 23.631 amax 24.060 24.361 23.880 emean 0.465 0.437 0.443 emin 0.441 0.392 0.423 emax 0.480 0.480 0.480 imean 35.457 36.425 36.308 imin 34.992 34.962 34.989 imax 36.301 37.436 37.229 excite_mean 0.744 0.738 0.739 fracstop 0.008 0.035 0.027 cjmean 2.557 2.554 2.559 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 307.0 254.8 237.5 kozaiamp 15.7 180.0 179.8