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: 99OZ3
# Created Thu May 24 01:37:00 2012
# Orbit generated from Bernstein formalism
# Fitting 22 observations of 22
# Arc: 2.17y
# First observation: 1999/07/21
# Last observation: 2001/09/19
Preliminary a, adot, b, bdot, g, gdot:
0.000020 0.021749 -0.000001 -0.000966 0.023232 0.000000
# Chi-squared of fit: 50.11 DOF: 38 RMS: 0.27
# Min/Max residuals: -0.45 0.49
# Exact a, adot, b, bdot, g, gdot:
1.646363E-05 2.168042E-02 -1.744009E-06 -9.632696E-04 2.312413E-02 -2.610899E-03
# Covariance matrix:
4.6897E-13 -1.0818E-12 -1.2477E-14 1.1386E-13 1.3556E-12 -5.9414E-11
-1.0818E-12 5.2087E-12 5.2107E-14 -4.7644E-13 -2.7709E-12 2.4848E-10
-1.2477E-14 5.2107E-14 1.0278E-13 -6.9181E-14 -3.8486E-14 2.6653E-12
1.1386E-13 -4.7644E-13 -6.9181E-14 1.6165E-13 3.5077E-13 -2.4357E-11
1.3556E-12 -2.7709E-12 -3.8486E-14 3.5077E-13 5.4432E-12 -1.8310E-10
-5.9414E-11 2.4848E-10 2.6653E-12 -2.4357E-11 -1.8310E-10 1.2704E-08
# lat0 lon0 xBary yBary zBary JD0
0.056524 -43.046838 0.330512 0.000713 -0.958321 2451381.041183
# Heliocentric elements and errors
Epoch: 2451380.5000 = 1999/07/21
Mean Anomaly: 279.35517 +/- 0.509
Argument of Peri: 274.29603 +/- 0.077
Long of Asc Node: 137.77795 +/- 0.000
Inclination: 2.54172 +/- 0.001
Eccentricity: 0.12975786 +/- 0.0051
Semi-Major Axis: 44.40282936 +/- 0.0367
Time of Perihelion: 2475590.1437 +/- 149.9
Perihelion: 38.64121324 +/- 0.2288
Aphelion: 50.16444548 +/- 0.2304
Period (y) 295.8858 +/- 0.37
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 32.08625618 +/- 0.0032
Ecliptic Y -30.41245432 +/- 0.0030
Ecliptic Z 0.04260058 +/- 0.0000
Ecliptic XDOT 0.00152289 +/- 0.0000
Ecliptic YDOT 0.00209533 +/- 0.0000
Ecliptic ZDOT -0.00011431 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 44.20912834 +/- 0.0031
Geocenter to KBO 43.24487890 +/- 0.0044
# Hcoef: 7.34
The following table shows the complete astrometric record for 99OZ3. 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 (99OZ3) followed by the observatory code and reference code for the source of the astrometry.
1999 07 21.54044 21 17 32.81 -15 42 03.3 23.4R 99OZ3 568 Ca5927 1999 07 21.56743 21 17 32.71 -15 42 03.6 99OZ3 568 Ca5927 1999 07 21.59867 21 17 32.58 -15 42 04.1 99OZ3 568 Ca5927 1999 08 06.23268 21 16 23.61 -15 47 27.5 99OZ3 807 Ca6755 1999 08 07.15300 21 16 19.48 -15 47 47.4 99OZ3 807 Ca6755 1999 08 07.15868 21 16 19.46 -15 47 47.6 99OZ3 807 Ca6755 1999 08 07.33004 21 16 18.68 -15 47 51.3 99OZ3 807 Ca6755 1999 08 07.33572 21 16 18.60 -15 47 51.3 99OZ3 807 Ca6755 1999 08 07.34140 21 16 18.63 -15 47 51.4 99OZ3 807 Ca6755 1999 08 09.37583 21 16 09.36 -15 48 34.6 23.4R 99OZ3 675 Ca5927 1999 08 09.38318 21 16 09.33 -15 48 34.9 23.5R 99OZ3 675 Ca5927 1999 08 09.40595 21 16 09.22 -15 48 35.4 23.4R 99OZ3 675 Ca5927 1999 08 09.41334 21 16 09.20 -15 48 35.5 23.3R 99OZ3 675 Ca5927 1999 08 09.43602 21 16 09.10 -15 48 36.1 23.6R 99OZ3 675 Ca5927 2000 08 05.44974 21 21 24.13 -15 27 54.1 23.4R 99OZ3 568 Cb7609 2000 08 05.49114 21 21 23.94 -15 27 55.2 23.2R 99OZ3 568 Cb7609 2000 08 05.53261 21 21 23.73 -15 27 55.9 23.6R 99OZ3 568 Cb7609 2000 08 06.43790 21 21 19.68 -15 28 15.4 23.7R 99OZ3 568 Cb7609 2000 08 06.48026 21 21 19.48 -15 28 16.6 99OZ3 568 Cb7609 2001 09 19.28313 21 23 17.95 -15 22 58.2 23.1R 99OZ3 675 Ce0165 2001 09 19.28842 21 23 17.94 -15 22 58.4 23.2R 99OZ3 675 Ce0165 2001 09 19.31659 21 23 17.82 -15 22 59.1 23.2R 99OZ3 675 Ce0165
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 -0.34 0.00 0.22 2 0.0001 -1.47 -0.04 0.15 0.38 3 0.0002 -3.41 0.06 0.24 0.47 4 0.0430 -1050.31 -0.01 -8.11 0.31 5 0.0455 -1113.15 0.27 -9.17 -0.23 6 0.0455 -1113.49 0.33 -9.27 -0.34 7 0.0460 -1125.34 0.42 -9.42 -0.45 8 0.0460 -1126.44 -0.29 -9.07 -0.11 9 0.0460 -1126.05 0.49 -9.30 -0.33 10 0.0516 -1266.65 -0.24 -10.30 0.00 11 0.0516 -1267.15 -0.23 -10.45 -0.15 12 0.0517 -1268.82 -0.31 -10.45 -0.15 13 0.0517 -1269.12 -0.10 -10.46 -0.16 14 0.0517 -1270.68 -0.08 -10.60 -0.30 15 1.0429 3442.52 0.07 -207.49 0.40 16 1.0430 3439.57 0.01 -207.69 0.20 17 1.0431 3436.46 -0.21 -207.43 0.47 18 1.0456 3374.74 0.23 -208.07 0.37 19 1.0457 3371.62 0.07 -208.32 0.12 20 2.1649 5100.35 0.05 -431.77 -0.10 21 2.1649 5100.15 0.13 -431.92 -0.24 22 2.1650 5098.28 -0.26 -432.05 -0.37
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.
99OZ3 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.333 44.453 44.234 ecceobj 0.130 0.145 0.116 incobj 2.543 2.542 2.543 qmin 37.388 36.127 38.114 qmax 51.180 52.765 50.243 amean 44.238 44.366 44.138 amin 44.198 44.297 44.101 amax 44.291 44.456 44.180 emean 0.141 0.169 0.125 emin 0.126 0.141 0.111 emax 0.156 0.187 0.137 imean 2.701 2.870 2.546 imin 1.341 0.504 1.344 imax 3.792 4.536 3.461 excite_mean 0.149 0.177 0.133 fracstop 1.000 1.000 1.000 cjmean 3.077 3.067 3.081 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 181.9 181.1 181.7 kozaiamp 180.0 180.0 180.0