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: 99HA12
# Created Sat Nov 23 02:08:03 2024
# Orbit generated from Bernstein formalism
# Fitting 8 observations of 8
# Arc: 49.82d
# First observation: 1999/04/17
# Last observation: 1999/06/06
Preliminary a, adot, b, bdot, g, gdot:
-0.000000 0.032547 -0.000004 0.000065 0.026345 0.000000
# WARNING Fitting with energy constraint
# Chi-squared of fit: 12.17 DOF: 11 RMS: 0.22
# Min/Max residuals: -0.44 0.46
# Exact a, adot, b, bdot, g, gdot:
1.544684E-05 2.420691E-02 -4.545627E-07 -2.178344E-04 2.503201E-02 1.743692E-02
# Covariance matrix:
6.1633E-13 1.6924E-10 -6.3230E-14 5.8207E-12 2.7671E-11 -1.6944E-09
1.6924E-10 2.2928E-07 -8.7360E-11 7.8158E-09 3.4734E-08 -2.9550E-06
-6.3230E-14 -8.7360E-11 4.0929E-13 -6.5575E-12 -1.3202E-11 1.1390E-09
5.8207E-12 7.8158E-09 -6.5575E-12 3.3359E-10 1.1834E-09 -1.0111E-07
2.7671E-11 3.4734E-08 -1.3202E-11 1.1834E-09 5.2833E-09 -4.4060E-07
-1.6944E-09 -2.9550E-06 1.1390E-09 -1.0111E-07 -4.4060E-07 4.0682E-05
# lat0 lon0 xBary yBary zBary JD0
3.634662 -156.956230 -0.062319 0.063750 -1.007376 2451285.692553
# Heliocentric elements and errors
Epoch: 2451280.5000 = 1999/04/12
Mean Anomaly: 18.32326 +/- 18.040
Argument of Peri: 4.15636 +/- 1.083
Long of Asc Node: 105.78203 +/- 0.516
Inclination: 3.57514 +/- 0.004
Eccentricity: 0.69776851 +/- 0.2477
Semi-Major Axis: 76.71129330 +/- 49.5124
Time of Perihelion: 2438789.7783 +/- 2233.0
Perihelion: 23.18456853 +/- 24.1878
Aphelion: 130.23801807 +/- 86.1818
Period (y) 671.8884 +/- 650.49
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -37.58329946 +/- 0.1065
Ecliptic Y -16.05826710 +/- 0.0453
Ecliptic Z 2.53252898 +/- 0.0074
Ecliptic XDOT -0.00071891 +/- 0.0007
Ecliptic YDOT -0.00317319 +/- 0.0002
Ecliptic ZDOT 0.00009715 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 40.94857804 +/- 0.0994
Geocenter to KBO 39.94885690 +/- 0.1160
# Hcoef: 7.71
The following table shows the complete astrometric record for 99HA12. 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 (99HA12) followed by the observatory code and reference code for the source of the astrometry.
1999 04 17.19181 13 30 41.27 -05 34 46.3 23.4R 99HA12 695 Ca4930 1999 04 17.27262 13 30 40.88 -05 34 44.0 99HA12 695 Ca4930 1999 04 17.37005 13 30 40.44 -05 34 41.6 99HA12 695 Ca4930 1999 05 06.89051 13 29 12.37 -05 26 29.1 99HA12 950 Ca4930 1999 05 06.96282 13 29 12.04 -05 26 27.0 99HA12 950 Ca4930 1999 05 07.02490 13 29 11.77 -05 26 25.8 99HA12 950 Ca4930 1999 06 05.95678 13 27 27.09 -05 17 54.0 23.6R 99HA12 950 Ca5574 1999 06 06.01610 13 27 26.99 -05 17 53.7 99HA12 950 Ca5574
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 0.07
2 0.0002 -6.26 -0.17 -0.00 0.13
3 0.0005 -13.25 0.23 -0.19 0.03
4 0.0539 -1417.18 0.23 -26.26 -0.27
5 0.0541 -1422.54 -0.17 -26.12 0.06
6 0.0543 -1426.73 -0.11 -26.49 -0.15
7 0.1362 -3068.81 -0.44 -127.14 0.07
8 0.1364 -3070.30 0.46 -127.41 0.08
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.
99HA12 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