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: 99HG12
# Created Wed Dec 25 02:07:57 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 23 observations of 23
# Arc: 13.91y
# First observation: 1999/04/18
# Last observation: 2013/03/14
# Chi-squared of fit: 61.50 DOF: 40 RMS: 0.29
# Min/Max residuals: -0.61 0.55
# Exact a, adot, b, bdot, g, gdot:
1.409110E-05 2.258263E-02 -4.374341E-07 -3.986976E-04 2.374849E-02 -3.580492E-03
# Covariance matrix:
4.8040E-13 2.2654E-14 2.2396E-15 -1.5305E-15 6.9194E-13 2.3271E-13
2.2654E-14 4.8775E-14 1.4325E-15 -1.0334E-15 1.7431E-13 1.6167E-13
2.2396E-15 1.4325E-15 1.2574E-13 -1.1148E-14 7.3955E-15 5.3635E-15
-1.5305E-15 -1.0334E-15 -1.1148E-14 1.9000E-15 -5.1891E-15 -3.8392E-15
6.9194E-13 1.7431E-13 7.3955E-15 -5.1891E-15 1.6190E-12 8.0028E-13
2.3271E-13 1.6167E-13 5.3635E-15 -3.8392E-15 8.0028E-13 5.9826E-13
# lat0 lon0 xBary yBary zBary JD0
0.118066 -155.997471 -0.062796 0.001839 -1.009590 2451286.706243
# Heliocentric elements and errors
Epoch: 2451286.5000 = 1999/04/18
Mean Anomaly: 281.11050 +/- 0.042
Argument of Peri: 270.35335 +/- 0.055
Long of Asc Node: 30.57303 +/- 0.001
Inclination: 1.02134 +/- 0.000
Eccentricity: 0.15618603 +/- 0.0000
Semi-Major Axis: 43.36618851 +/- 0.0092
Time of Perihelion: 2474144.6982 +/- 28.5
Perihelion: 36.59299561 +/- 0.0079
Aphelion: 50.13938142 +/- 0.0107
Period (y) 285.5848 +/- 0.09
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -39.35503162 +/- 0.0021
Ecliptic Y -17.59642751 +/- 0.0009
Ecliptic Z 0.08677064 +/- 0.0000
Ecliptic XDOT 0.00143356 +/- 0.0000
Ecliptic YDOT -0.00220169 +/- 0.0000
Ecliptic ZDOT -0.00004679 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 43.10996262 +/- 0.0019
Geocenter to KBO 42.10806511 +/- 0.0023
# Hcoef: 7.18
The following table shows the complete astrometric record for 99HG12. 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 (99HG12) followed by the observatory code and reference code for the source of the astrometry.
1999 04 18.20550 13 29 03.82 -09 12 07.2 23.9R 99HG12 695 Ca5574 1999 04 18.27939 13 29 03.46 -09 12 04.7 99HG12 695 Ca5574 1999 04 18.38513 13 29 02.99 -09 12 02.7 99HG12 695 Ca5574 1999 06 05.88567 13 26 02.30 -08 54 34.4 23.2R 99HG12 950 Ca5574 1999 06 05.94422 13 26 02.12 -08 54 33.8 23.4R 99HG12 950 Ca5574 1999 06 06.00363 13 26 01.99 -08 54 33.0 23.2R 99HG12 950 Ca5574 2000 06 07.25364 13 30 44.41 -09 23 40.4 99HG12 568 Cb5145 2000 06 07.38982 13 30 44.08 -09 23 38.4 99HG12 568 Cb5145 2000 06 08.25333 13 30 42.03 -09 23 27.1 99HG12 568 Cb5145 2001 05 29.23867 13 36 01.06 -09 55 42.4 23.3R 99HG12 695 Ci2597 2001 05 29.33473 13 36 00.78 -09 55 40.3 99HG12 695 Ci2597 2003 05 30.01916 13 45 53.19 -10 54 50.0 22.2R 99HG12 807 Ci2108 2003 05 30.11167 13 45 52.88 -10 54 48.2 99HG12 807 Ci2108 2003 05 31.05923 13 45 49.76 -10 54 31.0 99HG12 807 Ci2108 2006 05 25.220697 14 01 26.64 -12 24 44.1 99HG12 645 C~1Qct 2006 05 25.221526 14 01 26.64 -12 24 44.1 99HG12 645 C~1Qct 2006 05 25.224014 14 01 26.63 -12 24 44.0 99HG12 645 C~1Qct 2013 03 12.42354 14 44 26.29 -16 08 05.9 23.2R 99HG12 695 C~0uco 2013 03 12.50528 14 44 26.09 -16 08 04.8 99HG12 695 C~0uco 2013 03 13.43345 14 44 23.60 -16 07 54.3 22.9R 99HG12 695 C~0uco 2013 03 13.46647 14 44 23.50 -16 07 54.0 99HG12 695 C~0uco 2013 03 13.51052 14 44 23.37 -16 07 53.5 99HG12 695 C~0uco 2013 03 14.50447 14 44 20.63 -16 07 41.6 99HG12 695 C~0uco
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 0.20 0.00 -0.04
2 0.0002 0.00 -0.17 0.00 0.55
3 0.0005 0.00 -0.01 0.00 -0.20
4 0.1333 0.00 0.24 0.00 0.50
5 0.1334 0.00 -0.23 0.00 0.27
6 0.1336 0.00 0.07 0.00 0.23
7 1.1391 0.00 -0.07 0.00 -0.38
8 1.1395 0.00 0.06 0.00 -0.25
9 1.1418 0.00 -0.10 0.00 -0.61
10 2.1137 0.00 0.09 0.00 0.08
11 2.1140 0.00 0.48 0.00 0.46
12 4.1145 0.00 0.11 0.00 0.03
13 4.1147 0.00 0.16 0.00 0.14
14 4.1173 0.00 -0.15 0.00 0.17
15 7.1020 0.00 -0.35 0.00 -0.59
16 7.1020 0.00 -0.30 0.00 -0.61
17 7.1020 0.00 -0.30 0.00 -0.56
18 13.9007 0.00 0.00 0.00 0.21
19 13.9009 0.00 0.33 0.00 0.38
20 13.9034 0.00 0.14 0.00 0.13
21 13.9035 0.00 0.02 0.00 0.04
22 13.9036 0.00 -0.08 0.00 0.02
23 13.9064 0.00 -0.06 0.00 0.03
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.
99HG12 quality flag:3 Type: 7:4EEE 7:4EEE 7:4EEE axisobj 43.350 43.350 43.350 ecceobj 0.155 0.155 0.155 incobj 1.020 1.020 1.020 qmin 35.997 35.997 35.996 qmax 51.882 51.881 51.882 amean 43.727 43.727 43.727 amin 43.325 43.324 43.325 amax 44.196 44.197 44.195 emean 0.158 0.158 0.158 emin 0.139 0.139 0.138 emax 0.175 0.175 0.175 imean 1.763 1.758 1.769 imin 1.058 1.069 1.048 imax 2.702 2.672 2.734 excite_mean 0.161 0.161 0.161 fracstop 1.000 1.000 1.000 cjmean 3.067 3.067 3.067 libcent 0 178.6 178.8 177.0 libamp 0 63.9 63.7 63.8 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 197.5 197.5 197.3 kozaiamp 179.9 180.0 180.0