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: 11HE103
# Created Mon Apr 28 01:09:18 2025
# Orbit generated from Bernstein formalism
# Fitting 30 observations of 30
# Arc: 3.17y
# First observation: 2011/04/28
# Last observation: 2014/06/27
Preliminary a, adot, b, bdot, g, gdot:
-0.000081 0.018753 -0.000018 0.002169 0.020944 0.000000
# Chi-squared of fit: 4.25 DOF: 54 RMS: 0.07
# Min/Max residuals: -0.21 0.15
# Exact a, adot, b, bdot, g, gdot:
1.384231E-05 1.864435E-02 1.980059E-06 2.130399E-03 2.140863E-02 -9.324712E-04
# Covariance matrix:
1.7577E-13 -3.9709E-13 2.6667E-14 -7.9097E-14 3.7094E-13 -1.0338E-11
-3.9709E-13 1.5688E-12 -1.1714E-13 3.4720E-13 -1.7577E-12 4.5275E-11
2.6667E-14 -1.1714E-13 1.0137E-13 -6.8319E-14 1.6803E-13 -3.6483E-12
-7.9097E-14 3.4720E-13 -6.8319E-14 1.2060E-13 -4.9491E-13 1.0796E-11
3.7094E-13 -1.7577E-12 1.6803E-13 -4.9491E-13 4.0696E-12 -6.3279E-11
-1.0338E-11 4.5275E-11 -3.6483E-12 1.0796E-11 -6.3279E-11 1.4009E-09
# lat0 lon0 xBary yBary zBary JD0
1.921675 -82.357855 0.877013 0.016768 -0.500504 2455679.793966
# Heliocentric elements and errors
Epoch: 2455670.5000 = 2011/04/19
Mean Anomaly: 225.58011 +/- 0.628
Argument of Peri: 158.48420 +/- 0.640
Long of Asc Node: 260.51173 +/- 0.002
Inclination: 6.83713 +/- 0.001
Eccentricity: 0.10598215 +/- 0.0014
Semi-Major Axis: 43.75086140 +/- 0.0117
Time of Perihelion: 2495137.9789 +/- 183.7
Perihelion: 39.11405116 +/- 0.0634
Aphelion: 48.38767165 +/- 0.0638
Period (y) 289.3931 +/- 0.12
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 5.41030802 +/- 0.0006
Ecliptic Y -46.88210719 +/- 0.0044
Ecliptic Z 1.56644768 +/- 0.0001
Ecliptic XDOT 0.00234420 +/- 0.0000
Ecliptic YDOT 0.00045020 +/- 0.0000
Ecliptic ZDOT 0.00026833 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 47.21924572 +/- 0.0043
Geocenter to KBO 46.71014470 +/- 0.0044
# Hcoef: 8.49
The following table shows the complete astrometric record for 11HE103. 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 (11HE103) followed by the observatory code and reference code for the source of the astrometry.
2011 04 28.29320 18 32 48.37 -21 18 01.1 11HE103 268 C~0pNK 2011 04 28.39846 18 32 48.16 -21 18 00.9 11HE103 268 C~0pNK 2011 04 28.39916 18 32 48.17 -21 18 00.9 11HE103 268 C~0pNK 2011 04 30.29847 18 32 44.45 -21 17 57.2 11HE103 268 C~0pNK 2011 05 04.35789 18 32 35.53 -21 17 50.8 11HE103 268 C~0pNK 2011 05 04.36394 18 32 35.52 -21 17 50.9 11HE103 268 C~0pNK 2011 05 04.38104 18 32 35.48 -21 17 50.7 11HE103 268 C~0pNK 2011 05 04.39888 18 32 35.44 -21 17 50.8 11HE103 268 C~0pNK 2011 05 04.40573 18 32 35.42 -21 17 50.7 11HE103 268 C~0pNK 2011 05 31.22732 18 31 08.37 -21 17 40.0 11HE103 268 C~0pNK 2011 05 31.29705 18 31 08.08 -21 17 40.2 11HE103 268 C~0pNK 2012 04 18.26734 18 37 33.95 -21 07 11.8 11HE103 268 C~0pNK 2012 04 18.31552 18 37 33.91 -21 07 11.5 11HE103 268 C~0pNK 2012 04 18.36209 18 37 33.86 -21 07 11.4 11HE103 268 C~0pNK 2012 04 18.36265 18 37 33.85 -21 07 11.4 11HE103 268 C~0pNK 2012 04 18.40528 18 37 33.81 -21 07 11.2 11HE103 268 C~0pNK 2012 04 19.30535 18 37 32.87 -21 07 08.7 11HE103 268 C~0pNK 2012 04 19.30696 18 37 32.87 -21 07 08.7 11HE103 268 C~0pNK 2012 04 19.31725 18 37 32.86 -21 07 08.8 11HE103 268 C~0pNK 2012 04 19.35214 18 37 32.82 -21 07 08.6 26.0R 11HE103 268 C~0pNK 2012 04 19.36183 18 37 32.81 -21 07 08.5 11HE103 268 C~0pNK 2012 04 19.39518 18 37 32.75 -21 07 08.6 11HE103 268 C~0pNK 2012 04 19.39905 18 37 32.76 -21 07 08.6 11HE103 268 C~0pNK 2012 04 19.40424 18 37 32.75 -21 07 08.6 11HE103 268 C~0pNK 2014 06 25.33943 18 43 03.427 -20 43 51.42 24.7r 11HE103 266 C~7ued 2014 06 25.46067 18 43 02.860 -20 43 51.83 24.7r 11HE103 266 C~7ued 2014 06 25.56643 18 43 02.365 -20 43 52.15 24.7r 11HE103 266 C~7ued 2014 06 27.34219 18 42 54.186 -20 43 58.04 25.1r 11HE103 266 C~7ued 2014 06 27.36877 18 42 54.061 -20 43 58.13 25.1r 11HE103 266 C~7ued 2014 06 27.39518 18 42 53.937 -20 43 58.23 25.1r 11HE103 266 C~7ued
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 -0.08
2 0.0003 -2.92 -0.08 0.37 -0.08
3 0.0003 -2.78 0.08 0.36 -0.09
4 0.0055 -54.47 -0.00 7.00 0.11
5 0.0166 -178.57 -0.07 20.44 0.02
6 0.0166 -178.72 -0.01 20.35 -0.09
7 0.0167 -179.27 0.02 20.58 0.08
8 0.0167 -179.83 0.06 20.51 -0.05
9 0.0167 -180.10 0.02 20.63 0.05
10 0.0902 -1394.26 0.05 98.58 0.15
11 0.0904 -1398.32 -0.04 98.60 -0.00
12 0.9746 4026.01 -0.10 406.42 -0.15
13 0.9747 4025.47 0.07 406.75 0.02
14 0.9749 4024.78 0.07 406.90 -0.01
15 0.9749 4024.64 -0.07 406.91 -0.00
16 0.9750 4024.09 0.03 407.14 0.08
17 0.9774 4011.12 0.02 410.48 0.07
18 0.9775 4011.12 0.04 410.48 0.06
19 0.9775 4010.97 0.06 410.39 -0.06
20 0.9776 4010.43 0.07 410.63 0.05
21 0.9776 4010.30 0.10 410.74 0.12
22 0.9777 4009.45 -0.21 410.69 -0.05
23 0.9777 4009.59 -0.01 410.68 -0.08
24 0.9777 4009.45 -0.06 410.69 -0.09
25 3.1596 8732.15 -0.01 1488.00 0.01
26 3.1599 8724.17 -0.01 1488.17 0.01
27 3.1602 8717.21 -0.01 1488.35 0.01
28 3.1651 8602.14 0.01 1490.80 -0.01
29 3.1652 8600.38 0.01 1490.84 -0.00
30 3.1652 8598.64 0.01 1490.86 -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.
11HE103 quality flag:1 Type: CLASSICAL SCATNEAR 7:4EEE axisobj 43.591 43.628 43.556 ecceobj 0.109 0.105 0.112 incobj 6.850 6.851 6.849 qmin 38.507 36.513 36.875 qmax 49.340 51.522 50.913 amean 43.726 43.755 43.727 amin 43.329 43.249 43.334 amax 44.166 44.247 44.170 emean 0.100 0.133 0.127 emin 0.081 0.092 0.062 emax 0.117 0.165 0.154 imean 8.671 8.294 7.540 imin 7.946 6.867 6.507 imax 9.504 9.404 9.187 excite_mean 0.181 0.197 0.184 fracstop 1.000 1.000 1.000 cjmean 3.059 3.051 3.058 libcent 0 -180.0 -180.0 202.1 libamp 0 -180.0 -180.0 142.0 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 179.0 181.3 191.4 kozaiamp 180.0 180.0 90.2