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: 22LY13
# Created Sun Dec 22 02:11:21 2024
# Orbit generated from Bernstein formalism
# Fitting 18 observations of 18
# Arc: 1.27y
# First observation: 2022/06/02
# Last observation: 2023/09/10
Preliminary a, adot, b, bdot, g, gdot:
0.000001 0.031960 0.000005 0.008064 0.029471 0.000000
# Chi-squared of fit: 0.46 DOF: 30 RMS: 0.03
# Min/Max residuals: -0.07 0.07
# Exact a, adot, b, bdot, g, gdot:
1.727409E-05 3.175433E-02 4.406758E-06 8.168679E-03 2.931285E-02 3.385688E-03
# Covariance matrix:
2.5473E-13 6.1490E-13 -4.8951E-15 1.2623E-13 7.3497E-13 1.1735E-11
6.1490E-13 4.5577E-12 1.0028E-13 -2.9544E-12 3.6548E-12 -2.8388E-10
-4.8951E-15 1.0028E-13 2.4779E-13 -3.4952E-12 -5.6941E-13 -3.2338E-10
1.2623E-13 -2.9544E-12 -3.4952E-12 9.7290E-11 1.6233E-11 9.2646E-09
7.3497E-13 3.6548E-12 -5.6941E-13 1.6233E-11 6.7916E-12 1.5479E-09
1.1735E-11 -2.8388E-10 -3.2338E-10 9.2646E-09 1.5479E-09 8.8447E-07
# lat0 lon0 xBary yBary zBary JD0
0.387337 -72.600077 0.601352 0.005260 -0.817877 2459732.944521
# Heliocentric elements and errors
Epoch: 2459730.5000 = 2022/05/31
Mean Anomaly: 29.51625 +/- 6.324
Argument of Peri: 322.15616 +/- 9.341
Long of Asc Node: 284.95279 +/- 0.001
Inclination: 14.39491 +/- 0.010
Eccentricity: 0.14729557 +/- 0.0210
Semi-Major Axis: 39.78444640 +/- 0.2856
Time of Perihelion: 2452215.5334 +/- 1608.0
Perihelion: 33.92437379 +/- 0.8704
Aphelion: 45.64451902 +/- 0.8976
Period (y) 250.9448 +/- 2.70
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 9.88170386 +/- 0.0009
Ecliptic Y -33.51506176 +/- 0.0029
Ecliptic Z 0.23085085 +/- 0.0000
Ecliptic XDOT 0.00292493 +/- 0.0000
Ecliptic YDOT 0.00059909 +/- 0.0001
Ecliptic ZDOT 0.00076497 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 34.94224847 +/- 0.0028
Geocenter to KBO 34.11473041 +/- 0.0030
# Hcoef: 9.67
The following table shows the complete astrometric record for 22LY13. 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 (22LY13) followed by the observatory code and reference code for the source of the astrometry.
2022 06 02.44372 19 15 13.122 -21 55 23.66 25.7r 22LY13 266 C~6IpY 2022 06 02.53086 19 15 12.708 -21 55 23.97 25.7r 22LY13 266 C~6IpY 2022 06 02.61096 19 15 12.326 -21 55 24.22 25.7r 22LY13 266 C~6IpY 2022 06 03.44086 19 15 08.443 -21 55 27.03 25.4r 22LY13 266 C~6IpY 2022 06 03.52767 19 15 08.023 -21 55 27.34 25.4r 22LY13 266 C~6IpY 2022 06 03.61505 19 15 07.601 -21 55 27.63 25.4r 22LY13 266 C~6IpY 2022 06 29.45230 19 12 46.144 -21 57 30.26 25.8r 22LY13 266 C~6IpY 2022 06 29.51813 19 12 45.742 -21 57 30.62 25.8r 22LY13 266 C~6IpY 2022 06 29.58257 19 12 45.349 -21 57 30.97 25.8r 22LY13 266 C~6IpY 2022 06 30.45132 19 12 40.144 -21 57 35.96 25.7r 22LY13 266 C~6IpY 2022 06 30.52034 19 12 39.721 -21 57 36.35 25.7r 22LY13 266 C~6IpY 2022 06 30.58668 19 12 39.315 -21 57 36.71 25.7r 22LY13 266 C~6IpZ 2023 09 09.22891 19 14 21.330 -21 21 37.70 24.1V 22LY13 266 C~7umS 2023 09 09.32430 19 14 21.087 -21 21 37.81 24.1V 22LY13 266 C~7umS 2023 09 09.41985 19 14 20.847 -21 21 37.90 24.1V 22LY13 266 C~7umS 2023 09 10.22905 19 14 18.940 -21 21 38.86 23.9V 22LY13 266 C~7umS 2023 09 10.32490 19 14 18.707 -21 21 38.96 23.9V 22LY13 266 C~7umS 2023 09 10.42059 19 14 18.477 -21 21 39.04 23.9V 22LY13 266 C~7umS
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 -0.03 0.00 -0.00
2 0.0002 -5.75 -0.01 0.43 -0.01
3 0.0005 -11.06 -0.01 0.86 -0.00
4 0.0027 -65.00 0.01 5.00 -0.00
5 0.0030 -70.84 0.01 5.44 0.00
6 0.0032 -76.70 0.03 5.91 -0.00
7 0.0739 -2044.67 0.07 132.58 0.03
8 0.0741 -2050.27 0.06 132.92 0.03
9 0.0743 -2055.74 0.05 133.25 0.03
10 0.0767 -2128.21 -0.04 137.29 -0.02
11 0.0769 -2134.10 -0.05 137.64 -0.03
12 0.0771 -2139.75 -0.07 137.98 -0.03
13 1.2698 -457.86 0.01 2101.59 -0.02
14 1.2700 -461.24 0.00 2101.91 -0.01
15 1.2703 -464.58 0.00 2102.24 -0.01
16 1.2725 -491.13 -0.01 2104.67 0.02
17 1.2728 -494.37 -0.00 2104.98 0.01
18 1.2730 -497.56 -0.00 2105.31 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.
22LY13 quality flag:1 Type: 3:2E CENTAURR SCATEXTD axisobj 39.383 41.569 37.893 ecceobj 0.141 0.223 0.070 incobj 14.430 14.465 14.394 qmin 32.868 29.144 34.044 qmax 46.783 58.054 42.602 amean 39.457 41.866 38.196 amin 38.953 40.276 37.853 amax 39.998 44.456 38.569 emean 0.141 0.248 0.082 emin 0.111 0.198 0.063 emax 0.170 0.312 0.106 imean 16.205 16.336 17.195 imin 15.411 14.289 12.372 imax 17.031 17.511 19.516 excite_mean 0.313 0.376 0.307 fracstop 1.000 0.351 1.000 cjmean 2.939 2.906 2.929 libcent 0 181.2 -180.0 -180.0 libamp 0 128.5 -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 184.2 171.8 177.9 kozaiamp 179.9 179.9 179.9