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: 11HD103
# Created Wed Nov 27 02:09:09 2024
# Orbit generated from Bernstein formalism
# Fitting 24 observations of 24
# Arc: 0.98y
# First observation: 2011/04/28
# Last observation: 2012/04/20
Preliminary a, adot, b, bdot, g, gdot:
0.000000 0.014643 -0.000000 -0.001341 0.019177 0.000000
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# WARNING Fitting with energy constraint
# Chi-squared of fit: 2.66 DOF: 43 RMS: 0.06
# Min/Max residuals: -0.15 0.13
# Exact a, adot, b, bdot, g, gdot:
1.228171E-05 1.455260E-02 -1.169510E-06 -1.333129E-03 1.912810E-02 -7.927484E-03
# Covariance matrix:
2.3103E-13 1.3503E-11 -8.9113E-15 -1.2480E-12 1.0067E-11 9.2882E-10
1.3503E-11 1.7569E-08 1.8717E-12 -1.6090E-09 5.6233E-09 1.1648E-06
-8.9113E-15 1.8717E-12 7.1831E-14 -2.4723E-13 2.0308E-13 1.2212E-10
-1.2480E-12 -1.6090E-09 -2.4723E-13 1.4795E-10 -5.1518E-10 -1.0668E-07
1.0067E-11 5.6233E-09 2.0308E-13 -5.1518E-10 2.0186E-09 3.7392E-07
9.2882E-10 1.1648E-06 1.2212E-10 -1.0668E-07 3.7392E-07 7.7235E-05
# lat0 lon0 xBary yBary zBary JD0
2.389595 -82.230223 0.878522 0.020745 -0.497689 2455679.747046
# Heliocentric elements and errors
Epoch: 2455670.5000 = 2011/04/19
Mean Anomaly: 299.60946 +/- 57.640
Argument of Peri: 274.07021 +/- 22.587
Long of Asc Node: 121.01750 +/- 0.274
Inclination: 5.75784 +/- 0.061
Eccentricity: 0.49349638 +/- 0.4155
Semi-Major Axis: 53.41275643 +/- 27.3843
Time of Perihelion: 2479588.9103 +/- 13521.1
Perihelion: 27.05375468 +/- 26.1718
Aphelion: 79.77175818 +/- 46.5323
Period (y) 390.3693 +/- 300.21
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 6.26316096 +/- 0.0166
Ecliptic Y -52.36633984 +/- 0.1216
Ecliptic Z 2.17968403 +/- 0.0051
Ecliptic XDOT 0.00190974 +/- 0.0002
Ecliptic YDOT 0.00140294 +/- 0.0012
Ecliptic ZDOT -0.00023793 +/- 0.0001
# Distances at JD0 (AU)
Heliocenter to KBO 52.78457877 +/- 0.1206
Geocenter to KBO 52.27910772 +/- 0.1228
# Hcoef: 8.35
The following table shows the complete astrometric record for 11HD103. 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 (11HD103) followed by the observatory code and reference code for the source of the astrometry.
2011 04 28.24628 18 33 14.24 -20 49 33.1 11HD103 268 C~0pNK 2011 04 28.24697 18 33 14.25 -20 49 33.1 11HD103 268 C~0pNK 2011 04 28.34249 18 33 14.06 -20 49 33.1 11HD103 268 C~0pNK 2011 04 28.34316 18 33 14.07 -20 49 33.2 11HD103 268 C~0pNK 2011 04 28.41912 18 33 13.94 -20 49 33.1 11HD103 268 C~0pNK 2011 04 28.41931 18 33 13.93 -20 49 33.0 11HD103 268 C~0pNK 2011 04 30.32115 18 33 10.49 -20 49 32.6 11HD103 268 C~0pNK 2011 04 30.41312 18 33 10.30 -20 49 32.7 11HD103 268 C~0pNK 2011 05 01.31844 18 33 08.57 -20 49 32.6 11HD103 268 C~0pNK 2011 05 02.28342 18 33 06.65 -20 49 32.5 11HD103 268 C~0pNK 2011 05 02.28856 18 33 06.64 -20 49 32.6 11HD103 268 C~0pNK 2011 05 02.30851 18 33 06.60 -20 49 32.5 11HD103 268 C~0pNK 2011 05 02.32221 18 33 06.58 -20 49 32.5 11HD103 268 C~0pNK 2011 05 02.33338 18 33 06.54 -20 49 32.4 11HD103 268 C~0pNK 2011 05 02.35124 18 33 06.51 -20 49 32.5 11HD103 268 C~0pNK 2011 05 03.28524 18 33 04.59 -20 49 32.6 11HD103 268 C~0pNK 2011 05 03.29159 18 33 04.58 -20 49 32.6 11HD103 268 C~0pNK 2011 05 03.30873 18 33 04.54 -20 49 32.6 11HD103 268 C~0pNK 2011 05 03.32834 18 33 04.50 -20 49 32.6 11HD103 268 C~0pNK 2011 05 03.34419 18 33 04.46 -20 49 32.6 25.3R 11HD103 268 C~0pNK 2011 05 03.36010 18 33 04.43 -20 49 32.5 11HD103 268 C~0pNK 2012 04 20.32108 18 37 00.79 -20 51 10.4 11HD103 268 C~0pNK 2012 04 20.36290 18 37 00.74 -20 51 10.3 11HD103 268 C~0pNK 2012 04 20.40652 18 37 00.69 -20 51 10.2 11HD103 268 C~0pNK
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 -0.05 0.00 0.01
2 0.0000 0.14 0.11 -0.01 0.00
3 0.0003 -2.52 -0.15 0.15 0.00
4 0.0003 -2.39 -0.00 0.04 -0.10
5 0.0005 -4.20 0.11 0.24 -0.04
6 0.0005 -4.33 -0.02 0.35 0.07
7 0.0057 -52.46 0.09 3.52 0.05
8 0.0059 -55.12 -0.06 3.57 -0.06
9 0.0084 -79.33 0.01 5.07 -0.05
10 0.0111 -106.20 -0.03 6.71 0.02
11 0.0111 -106.35 -0.02 6.62 -0.08
12 0.0111 -106.90 0.00 6.75 0.02
13 0.0112 -107.18 0.12 6.77 0.02
14 0.0112 -107.74 -0.10 6.90 0.13
15 0.0112 -108.16 -0.01 6.82 0.03
16 0.0138 -135.04 -0.01 8.27 -0.03
17 0.0138 -135.18 0.04 8.27 -0.03
18 0.0139 -135.74 -0.00 8.31 -0.02
19 0.0139 -136.30 0.03 8.34 -0.02
20 0.0140 -136.86 -0.05 8.37 -0.01
21 0.0140 -137.27 0.02 8.49 0.09
22 0.9804 3164.49 -0.02 -289.16 -0.07
23 0.9805 3163.80 -0.01 -289.02 0.00
24 0.9806 3163.11 0.03 -288.88 0.07
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.
11HD103 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