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: 99HJ12
# Created Sun Nov 22 02:37:11 2009
# Orbit generated from Bernstein formalism
# Fitting 24 observations of 26
# Arc: 2.09y
# First observation: 1999/04/18
# Last observation: 2001/05/20
Preliminary a, adot, b, bdot, g, gdot:
-0.000022 0.021580 -0.000003 -0.000219 0.023089 0.000000
# Chi-squared of fit: 49.93 DOF: 42 RMS: 0.25
# Min/Max residuals: -0.56 0.62
# Exact a, adot, b, bdot, g, gdot:
1.478522E-05 2.158035E-02 -4.007745E-06 -2.194014E-04 2.314421E-02 -6.780228E-04
# Covariance matrix:
4.9246E-13 2.9832E-13 6.3097E-15 -6.3057E-15 7.7092E-13 1.1765E-11
2.9832E-13 9.8635E-13 8.7686E-15 -1.4726E-14 1.1009E-12 2.6519E-11
6.3097E-15 8.7686E-15 1.4812E-13 -8.5767E-14 1.5006E-14 2.6463E-13
-6.3057E-15 -1.4726E-14 -8.5767E-14 8.4912E-14 -1.8038E-14 -4.3320E-13
7.7092E-13 1.1009E-12 1.5006E-14 -1.8038E-14 1.8485E-12 3.3167E-11
1.1765E-11 2.6519E-11 2.6463E-13 -4.3320E-13 3.3167E-11 7.8116E-10
# lat0 lon0 xBary yBary zBary JD0
4.610373 -140.044860 0.214790 0.079204 -0.985335 2451286.843043
# Heliocentric elements and errors
Epoch: 2451280.5000 = 1999/04/12
Mean Anomaly: 231.77445 +/- 1.047
Argument of Peri: 229.54363 +/- 1.031
Long of Asc Node: 122.60368 +/- 0.010
Inclination: 4.54229 +/- 0.000
Eccentricity: 0.04943326 +/- 0.0009
Semi-Major Axis: 42.81591034 +/- 0.0095
Time of Perihelion: 2487728.8838 +/- 297.3
Perihelion: 40.69938014 +/- 0.0394
Aphelion: 44.93244053 +/- 0.0397
Period (y) 280.1664 +/- 0.09
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -33.90045231 +/- 0.0020
Ecliptic Y -28.12744899 +/- 0.0016
Ecliptic Z 3.47283973 +/- 0.0002
Ecliptic XDOT 0.00169664 +/- 0.0000
Ecliptic YDOT -0.00189812 +/- 0.0000
Ecliptic ZDOT -0.00003230 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 44.18658925 +/- 0.0018
Geocenter to KBO 43.20735697 +/- 0.0025
# Hcoef: 7.32
The following table shows the complete astrometric record for 99HJ12. 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 (99HJ12) followed by the observatory code and reference code for the source of the astrometry.
1999 04 18.34230 14 36 05.79 -10 25 14.5 23.6R 99HJ12 695 Ca5574 1999 04 18.42194 14 36 05.39 -10 25 13.4 99HJ12 695 Ca5574 1999 04 18.45872 14 36 05.28 -10 25 12.1 99HJ12 695 Ca5574 1999 05 21.29484 14 33 40.97 -10 13 52.6 23.4R 99HJ12 697 Cb0831 1999 05 21.33819 14 33 40.81 -10 13 51.6 23.5R 99HJ12 697 Cb0831 1999 05 23.23208 14 33 33.00 -10 13 19.0 99HJ12 697 Cb0831 1999 05 23.28294 14 33 32.74 -10 13 17.8 23.7R 99HJ12 697 Cb0831 1999 05 24.23681 14 33 28.84 -10 13 01.3 23.8R 99HJ12 697 Cb0831 1999 05 24.27640 14 33 28.67 -10 13 00.5 23.6R 99HJ12 697 Cb0831 1999 06 05.93830 14 32 40.24 -10 09 47.9 23.0R 99HJ12 950 Ca5574 1999 06 05.98205 14 32 40.07 -10 09 47.1 22.9R 99HJ12 950 Ca5574 1999 06 06.03698 14 32 39.87 -10 09 46.8 99HJ12 950 Ca5574 2000 06 07.31621 14 37 16.57 -10 32 57.8 99HJ12 568 Cb5145 2000 06 07.40621 14 37 16.25 -10 32 56.6 99HJ12 568 Cb5145 2000 06 08.38395 14 37 12.85 -10 32 44.5 99HJ12 568 Cb5145 2000 06 25.96084 14 36 21.57 -10 30 04.9 99HJ12 950 Cb6477 2000 06 25.99467 14 36 21.50 -10 30 04.3 99HJ12 950 Cb6477 2000 06 26.03763 14 36 21.38 -10 30 04.1 99HJ12 950 Cb6477 2001 03 24.42701 14 47 11.52 -11 20 26.3 23.5R 99HJ12 695 Cc7487 2001 03 24.50156 14 47 11.29 -11 20 24.6 99HJ12 695 Cc7487 2001 05 19.42791 14 43 17.94 -11 01 19.6 23.3R 99HJ12 568 Ce6450 2001 05 19.43608 14 43 17.89 -11 01 19.7 99HJ12 568 Ce6450 2001 05 19.52358 14 43 17.52 -11 01 17.9 99HJ12 568 Ce6450 2001 05 19.53175 14 43 17.49 -11 01 17.4 99HJ12 568 Ce6450 2001 05 20.45474 14 43 13.53 -11 01 01.3 99HJ12 568 Ce6450 2001 05 20.46290 14 43 13.49 -11 01 01.1 99HJ12 568 Ce6450
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 ( -0.01) 0.00 ( 0.80) 2 0.0002 -5.95 -0.50 -0.78 -0.07 3 0.0003 -7.90 0.08 -0.05 0.62 4 0.0902 -2243.30 -0.04 -16.39 -0.06 5 0.0903 -2245.85 0.23 -16.18 0.26 6 0.0955 -2365.57 ( 0.92) -21.16 ( -0.27) 7 0.0957 -2369.59 0.16 -21.22 -0.18 8 0.0983 -2429.45 0.19 -23.50 -0.08 9 0.0984 -2432.08 0.08 -23.52 0.01 10 0.1330 -3171.60 0.02 -63.83 0.00 11 0.1332 -3174.24 -0.21 -63.85 0.16 12 0.1333 -3177.14 -0.11 -64.49 -0.26 13 1.1389 1136.13 0.38 -117.34 -0.54 14 1.1391 1131.27 0.39 -117.66 -0.48 15 1.1418 1079.84 0.29 -121.65 -0.56 16 1.1899 311.31 -0.24 -203.96 -0.03 17 1.1900 310.14 -0.20 -203.71 0.41 18 1.1901 308.40 -0.43 -204.07 0.29 19 1.9332 10357.95 -0.04 -155.13 -0.06 20 1.9334 10354.20 0.09 -154.53 0.28 21 2.0865 6728.59 -0.03 -103.34 0.08 22 2.0865 6727.92 -0.15 -103.66 -0.22 23 2.0867 6722.17 -0.03 -103.60 0.04 24 2.0868 6721.60 -0.06 -103.26 0.40 25 2.0893 6661.10 0.11 -105.68 -0.02 26 2.0893 6660.47 0.03 -105.67 0.01
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.
99HJ12 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 42.785 42.813 42.757 ecceobj 0.049 0.051 0.047 incobj 4.543 4.543 4.543 qmin 40.303 40.154 40.337 qmax 45.906 46.162 45.817 amean 43.090 43.122 43.061 amin 43.073 43.097 43.044 amax 43.108 43.159 43.079 emean 0.053 0.056 0.052 emin 0.039 0.041 0.037 emax 0.065 0.070 0.064 imean 3.544 3.554 3.546 imin 2.488 2.486 2.487 imax 4.531 4.555 4.549 excite_mean 0.082 0.084 0.081 fracstop 1.000 1.000 1.000 cjmean 3.083 3.083 3.083 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 178.2 179.5 178.4 kozaiamp 180.0 180.0 180.0