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: 11UA413
# Created Sat Apr 20 01:13:55 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 23 observations of 23
# Arc: 9.12y
# First observation: 2011/10/25
# Last observation: 2020/12/09
# Chi-squared of fit: 16.41 DOF: 40 RMS: 0.15
# Min/Max residuals: -0.32 0.60
# Exact a, adot, b, bdot, g, gdot:
1.813646E-05 3.844619E-02 1.511907E-08 -5.141061E-04 3.245774E-02 1.068518E-03
# Covariance matrix:
1.1899E-13 -8.7333E-14 1.2896E-15 1.3499E-15 6.0004E-14 -2.4208E-13
-8.7333E-14 2.3056E-13 3.1545E-16 -3.7574E-15 -2.2682E-14 6.8516E-13
1.2896E-15 3.1545E-16 8.4363E-14 -1.2374E-14 7.6944E-15 -5.1166E-16
1.3499E-15 -3.7574E-15 -1.2374E-14 9.2652E-15 8.1457E-16 -1.1713E-14
6.0004E-14 -2.2682E-14 7.6944E-15 8.1457E-16 2.9185E-13 -1.2597E-13
-2.4208E-13 6.8516E-13 -5.1166E-16 -1.1713E-14 -1.2597E-13 2.1315E-12
# lat0 lon0 xBary yBary zBary JD0
5.556551 30.404442 -0.018287 0.095940 -0.986199 2455859.847326
# Heliocentric elements and errors
Epoch: 2455860.5000 = 2011/10/26
Mean Anomaly: 10.03281 +/- 0.011
Argument of Peri: 84.66835 +/- 0.015
Long of Asc Node: 292.38055 +/- 0.001
Inclination: 5.43640 +/- 0.000
Eccentricity: 0.13842366 +/- 0.0001
Semi-Major Axis: 36.78681177 +/- 0.0034
Time of Perihelion: 2453589.2925 +/- 2.5
Perihelion: 31.69464661 +/- 0.0039
Aphelion: 41.87897692 +/- 0.0046
Period (y) 223.1241 +/- 0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 27.29593043 +/- 0.0004
Ecliptic Y 16.03806393 +/- 0.0003
Ecliptic Z 2.98320604 +/- 0.0001
Ecliptic XDOT -0.00156392 +/- 0.0000
Ecliptic YDOT 0.00284962 +/- 0.0000
Ecliptic ZDOT -0.00003437 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 31.79914778 +/- 0.0004
Geocenter to KBO 30.80932081 +/- 0.0005
# Hcoef: 8.60
The following table shows the complete astrometric record for 11UA413. 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 (11UA413) followed by the observatory code and reference code for the source of the astrometry.
2011 10 25.34656 01 45 04.040 +16 48 37.84 23.4r 11UA413 568 C~1CKz 2011 10 25.39635 01 45 03.723 +16 48 36.07 23.3r 11UA413 568 C~1CKz 2011 10 25.40523 01 45 03.674 +16 48 35.81 23.3r 11UA413 568 C~1CKz 2011 10 26.29124 01 44 58.281 +16 48 05.31 23.3r 11UA413 568 C~1CKz 2011 10 26.34391 01 44 57.957 +16 48 03.59 11UA413 568 C~1CKz 2011 10 26.38701 01 44 57.685 +16 48 02.03 11UA413 568 C~1CKz 2011 10 31.28989 01 44 28.047 +16 45 11.27 11UA413 568 C~1CKz 2011 10 31.39270 01 44 27.395 +16 45 07.49 23.5r 11UA413 568 C~1CKz 2011 11 24.24087 01 42 16.105 +16 31 15.09 23.8r 11UA413 568 C~1CKz 2011 11 24.25792 01 42 16.009 +16 31 14.39 24.0r 11UA413 568 C~1CKz 2011 11 26.46073 01 42 05.624 +16 30 01.46 23.7r 11UA413 568 C~1CKz 2012 01 25.30732 01 40 42.109 +16 11 56.97 11UA413 568 C~1CKz 2012 01 26.29215 01 40 44.399 +16 11 58.25 23.7r 11UA413 568 C~1CKz 2012 01 27.22612 01 40 46.698 +16 12 00.32 23.8r 11UA413 568 C~1CKz 2012 08 17.57715 01 58 52.600 +17 54 31.57 23.9r 11UA413 568 C~1CKz 2012 08 24.53489 01 58 39.154 +17 54 28.45 23.6r 11UA413 568 C~1CKz 2012 10 17.38245 01 54 28.919 +17 37 36.76 11UA413 568 C~1CKz 2012 10 20.47747 01 54 09.965 +17 35 58.01 23.4r 11UA413 568 C~1CKz 2013 02 06.26716 01 49 38.197 +16 57 03.16 23.4r 11UA413 568 C~1CKz 2015 11 08.27187 02 18 34.18 +19 32 05.6 23.3R 11UA413 G37 C~1ddG 2015 11 08.33833 02 18 33.77 +19 32 03.1 11UA413 G37 C~1ddG 2020 12 09.130560 02 59 46.638 +22 12 11.61 23.4G 11UA413 G37 C~4U7j 2020 12 09.249420 02 59 45.972 +22 12 08.56 11UA413 G37 C~4U7j
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 0.14 0.00 -0.01
2 0.0001 0.00 0.02 0.00 -0.07
3 0.0002 0.00 0.12 0.00 -0.03
4 0.0026 0.00 0.02 0.00 -0.03
5 0.0027 0.00 0.05 0.00 0.05
6 0.0028 0.00 -0.02 0.00 -0.03
7 0.0163 0.00 0.34 0.00 0.04
8 0.0166 0.00 -0.01 0.00 -0.14
9 0.0818 0.00 0.04 0.00 0.06
10 0.0819 0.00 -0.15 0.00 -0.07
11 0.0879 0.00 0.10 0.00 -0.10
12 0.2518 0.00 0.01 0.00 0.07
13 0.2545 0.00 -0.09 0.00 -0.13
14 0.2570 0.00 -0.02 0.00 -0.12
15 0.8138 0.00 -0.14 0.00 0.10
16 0.8328 0.00 -0.17 0.00 -0.06
17 0.9802 0.00 -0.17 0.00 -0.06
18 0.9887 0.00 -0.10 0.00 0.03
19 1.2866 0.00 -0.22 0.00 -0.04
20 4.0381 0.00 -0.04 0.00 0.60
21 4.0383 0.00 0.08 0.00 0.26
22 9.1247 0.00 0.14 0.00 -0.32
23 9.1250 0.00 -0.09 0.00 -0.06
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.
11UA413 quality flag:3 Type: 4:3E 4:3E 4:3E axisobj 36.852 36.851 36.852 ecceobj 0.140 0.140 0.140 incobj 5.437 5.437 5.437 qmin 30.858 30.846 30.859 qmax 42.522 42.478 42.507 amean 36.478 36.477 36.478 amin 36.123 36.124 36.124 amax 36.872 36.873 36.872 emean 0.133 0.133 0.133 emin 0.115 0.115 0.115 emax 0.154 0.154 0.154 imean 8.695 8.697 8.696 imin 6.256 6.289 6.257 imax 10.318 10.316 10.318 excite_mean 0.202 0.202 0.202 fracstop 1.000 1.000 1.000 cjmean 2.980 2.980 2.980 libcent 0 180.7 180.5 181.2 libamp 0 72.0 70.0 71.9 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 182.7 182.5 182.7 kozaiamp 179.9 179.9 180.0