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: 13LU35
# Created Sat Apr 27 01:14:41 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 53 observations of 53
# Arc: 7.19y
# First observation: 2013/06/05
# Last observation: 2020/08/13
# Chi-squared of fit: 21.61 DOF: 100 RMS: 0.11
# Min/Max residuals: -0.35 0.74
# Exact a, adot, b, bdot, g, gdot:
1.491478E-05 2.129513E-02 -4.834969E-08 -6.021096E-04 2.292436E-02 1.898471E-03
# Covariance matrix:
8.5192E-14 -1.9334E-14 3.9921E-16 2.1848E-16 5.5866E-14 -6.7077E-14
-1.9334E-14 1.0771E-13 1.3656E-15 -3.2003E-15 4.8116E-14 7.3049E-13
3.9921E-16 1.3656E-15 5.1525E-14 -8.0718E-15 1.6534E-15 9.7042E-15
2.1848E-16 -3.2003E-15 -8.0718E-15 2.8971E-15 -1.7053E-15 -2.2328E-14
5.5866E-14 4.8116E-14 1.6534E-15 -1.7053E-15 1.3684E-13 3.5690E-13
-6.7077E-14 7.3049E-13 9.7042E-15 -2.2328E-14 3.5690E-13 5.0903E-12
# lat0 lon0 xBary yBary zBary JD0
2.610367 -80.568921 0.427468 0.042076 -0.922078 2456448.750788
# Heliocentric elements and errors
Epoch: 2456448.5000 = 2013/06/05
Mean Anomaly: 101.45111 +/- 0.050
Argument of Peri: 11.36664 +/- 0.044
Long of Asc Node: 157.00284 +/- 0.002
Inclination: 3.00967 +/- 0.000
Eccentricity: 0.08234567 +/- 0.0001
Semi-Major Axis: 43.55554262 +/- 0.0026
Time of Perihelion: 2426860.3451 +/- 14.9
Perihelion: 39.96893226 +/- 0.0047
Aphelion: 47.14215299 +/- 0.0049
Period (y) 287.4573 +/- 0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 6.87099883 +/- 0.0001
Ecliptic Y -43.96540154 +/- 0.0007
Ecliptic Z 1.98671938 +/- 0.0000
Ecliptic XDOT 0.00254023 +/- 0.0000
Ecliptic YDOT 0.00018981 +/- 0.0000
Ecliptic ZDOT -0.00006137 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 44.54334627 +/- 0.0007
Geocenter to KBO 43.62169078 +/- 0.0007
# Hcoef: 9.10
The following table shows the complete astrometric record for 13LU35. 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 (13LU35) followed by the observatory code and reference code for the source of the astrometry.
2013 06 05.25001 18 40 15.50 -20 30 00.1 13LU35 268 C~114N 2013 06 05.31180 18 40 15.23 -20 30 00.2 13LU35 268 C~114N 2013 06 05.36936 18 40 15.00 -20 30 00.5 13LU35 268 C~114N 2013 06 06.24368 18 40 11.22 -20 30 03.2 13LU35 268 C~114N 2013 06 06.30303 18 40 10.95 -20 30 03.3 13LU35 268 C~114N 2013 06 06.36591 18 40 10.67 -20 30 03.4 13LU35 268 C~114N 2013 06 09.16881 18 39 58.35 -20 30 12.5 13LU35 268 C~114N 2013 06 09.16986 18 39 58.34 -20 30 12.3 26.0R 13LU35 268 C~114N 2013 06 09.20546 18 39 58.18 -20 30 12.6 13LU35 268 C~114N 2013 06 09.21040 18 39 58.14 -20 30 12.5 13LU35 268 C~114N 2013 06 09.26181 18 39 57.93 -20 30 12.8 13LU35 268 C~114N 2013 06 09.29748 18 39 57.77 -20 30 12.9 13LU35 268 C~114N 2013 06 09.30355 18 39 57.74 -20 30 12.9 13LU35 268 C~114N 2013 07 05.48836 18 37 53.83 -20 32 04.7 13LU35 266 C~114N 2013 07 06.31422 18 37 49.87 -20 32 09.5 13LU35 266 C~114N 2013 07 06.40236 18 37 49.44 -20 32 10.0 13LU35 266 C~114N 2013 07 06.48552 18 37 49.04 -20 32 10.4 13LU35 266 C~114N 2013 09 07.29851 18 34 09.97 -20 37 52.0 13LU35 568 C~114N 2013 09 27.49918 18 34 02.48 -20 39 14.3 26.3R 13LU35 250 S~11V4 2013 09 27.50765 18 34 02.48 -20 39 14.3 13LU35 250 S~11V4 2013 09 27.51692 18 34 02.49 -20 39 14.4 13LU35 250 S~11V4 2013 09 27.52539 18 34 02.49 -20 39 14.4 13LU35 250 S~11V4 2013 09 28.22922 18 34 02.93 -20 39 16.7 13LU35 250 S~11V4 2013 09 28.23769 18 34 02.94 -20 39 16.7 13LU35 250 S~11V4 2013 09 28.24696 18 34 02.95 -20 39 16.8 13LU35 250 S~11V4 2013 09 28.25542 18 34 02.95 -20 39 16.8 13LU35 250 S~11V4 2014 06 25.33943 18 43 56.021 -20 28 07.05 25.0r 13LU35 266 C~6V7i 2014 06 25.45479 18 43 55.460 -20 28 07.64 25.0r 13LU35 266 C~6V7i 2014 06 25.56643 18 43 54.916 -20 28 08.19 25.0r 13LU35 266 C~6V7i 2014 06 27.34219 18 43 46.408 -20 28 17.26 25.3r 13LU35 266 C~6V7i 2014 06 27.36877 18 43 46.278 -20 28 17.40 25.3r 13LU35 266 C~6V7i 2014 06 27.39518 18 43 46.149 -20 28 17.54 25.3r 13LU35 266 C~6V7i 2017 07 21.24888 18 57 21.747 -20 18 27.53 24.8r 13LU35 266 C~6V7i 2017 07 21.41964 18 57 20.952 -20 18 28.86 24.8r 13LU35 266 C~6V7i 2017 07 21.54551 18 57 20.367 -20 18 29.80 24.8r 13LU35 266 C~6V7i 2020 05 30.43935 19 16 30.034 -19 54 46.46 25.6r 13LU35 266 C~6V7i 2020 05 30.53044 19 16 29.709 -19 54 46.92 25.6r 13LU35 266 C~6V7i 2020 05 30.61862 19 16 29.393 -19 54 47.34 25.6r 13LU35 266 C~6V7i 2020 06 01.43269 19 16 22.961 -19 54 56.31 26.1r 13LU35 266 C~6V7i 2020 06 01.47325 19 16 22.812 -19 54 56.53 26.1r 13LU35 266 C~6V7i 2020 06 01.60571 19 16 22.322 -19 54 57.21 26.1r 13LU35 266 C~6V7i 2020 06 20.45583 19 15 05.452 -19 56 57.53 25.6r 13LU35 266 C~6V7i 2020 06 20.52860 19 15 05.121 -19 56 58.07 25.6r 13LU35 266 C~6V7i 2020 06 20.62233 19 15 04.696 -19 56 58.76 25.6r 13LU35 266 C~6V7i 2020 06 22.44948 19 14 56.504 -19 57 12.62 25.6r 13LU35 266 C~6V7i 2020 06 22.52092 19 14 56.175 -19 57 13.16 25.6r 13LU35 266 C~6V7i 2020 06 22.59118 19 14 55.853 -19 57 13.69 25.6r 13LU35 266 C~6V7i 2020 06 25.44823 19 14 42.855 -19 57 36.08 25.6r 13LU35 266 C~6V7i 2020 06 25.53213 19 14 42.463 -19 57 36.75 25.6r 13LU35 266 C~6V7i 2020 06 25.61487 19 14 42.077 -19 57 37.39 25.6r 13LU35 266 C~6V7i 2020 08 13.24332 19 11 04.122 -20 04 50.57 25.6r 13LU35 266 C~6V7i 2020 08 13.33331 19 11 03.778 -20 04 51.37 25.6r 13LU35 266 C~6V7i 2020 08 13.42301 19 11 03.436 -20 04 52.14 25.6r 13LU35 266 C~6V7i
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 -0.04 0.00 -0.08
2 0.0002 0.00 -0.04 0.00 0.00
3 0.0003 0.00 0.29 0.00 -0.13
4 0.0027 0.00 0.15 0.00 -0.16
5 0.0029 0.00 0.03 0.00 -0.08
6 0.0031 0.00 -0.00 0.00 0.00
7 0.0107 0.00 -0.02 0.00 -0.09
8 0.0107 0.00 -0.10 0.00 0.12
9 0.0108 0.00 -0.08 0.00 -0.06
10 0.0108 0.00 -0.35 0.00 0.06
11 0.0110 0.00 -0.00 0.00 -0.07
12 0.0111 0.00 0.02 0.00 -0.05
13 0.0111 0.00 -0.01 0.00 -0.03
14 0.0828 0.00 -0.02 0.00 0.74
15 0.0850 0.00 0.05 0.00 0.14
16 0.0853 0.00 0.06 0.00 0.10
17 0.0855 0.00 0.17 0.00 0.12
18 0.2575 0.00 0.11 0.00 -0.08
19 0.3128 0.00 0.03 0.00 0.07
20 0.3128 0.00 -0.05 0.00 0.10
21 0.3128 0.00 0.02 0.00 0.03
22 0.3129 0.00 -0.05 0.00 0.06
23 0.3148 0.00 -0.05 0.00 0.11
24 0.3148 0.00 0.01 0.00 0.14
25 0.3148 0.00 0.07 0.00 0.07
26 0.3149 0.00 -0.01 0.00 0.10
27 1.0543 0.00 0.05 0.00 -0.19
28 1.0546 0.00 0.06 0.00 -0.18
29 1.0549 0.00 0.05 0.00 -0.18
30 1.0598 0.00 0.04 0.00 -0.19
31 1.0599 0.00 0.04 0.00 -0.18
32 1.0599 0.00 0.04 0.00 -0.18
33 4.1259 0.00 -0.02 0.00 -0.09
34 4.1264 0.00 -0.02 0.00 -0.09
35 4.1268 0.00 -0.02 0.00 -0.09
36 6.9848 0.00 -0.03 0.00 -0.01
37 6.9850 0.00 -0.02 0.00 -0.02
38 6.9853 0.00 -0.03 0.00 -0.02
39 6.9902 0.00 0.03 0.00 0.05
40 6.9903 0.00 0.03 0.00 0.05
41 6.9907 0.00 0.03 0.00 0.05
42 7.0423 0.00 0.01 0.00 0.02
43 7.0425 0.00 -0.00 0.00 0.02
44 7.0428 0.00 -0.01 0.00 0.01
45 7.0478 0.00 -0.06 0.00 0.04
46 7.0480 0.00 -0.07 0.00 0.04
47 7.0482 0.00 -0.06 0.00 0.04
48 7.0560 0.00 -0.01 0.00 0.01
49 7.0562 0.00 -0.01 0.00 0.01
50 7.0564 0.00 -0.02 0.00 0.01
51 7.1896 0.00 0.01 0.00 -0.01
52 7.1898 0.00 0.00 0.00 -0.01
53 7.1901 0.00 0.01 0.00 -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.
13LU35 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 43.533 43.533 43.532 ecceobj 0.079 0.079 0.079 incobj 3.008 3.008 3.008 qmin 37.479 37.532 37.480 qmax 50.494 50.344 50.495 amean 43.749 43.761 43.750 amin 43.278 43.304 43.277 amax 44.235 44.180 44.219 emean 0.099 0.099 0.099 emin 0.061 0.061 0.060 emax 0.142 0.140 0.142 imean 3.141 3.130 3.133 imin 1.999 1.998 2.000 imax 4.192 4.154 4.169 excite_mean 0.114 0.114 0.114 fracstop 1.000 1.000 1.000 cjmean 3.082 3.082 3.082 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 174.0 173.3 174.0 kozaiamp 179.9 180.0 180.0