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: 22LK15
# Created Tue Apr 1 01:11:29 2025
# Orbit generated from Bernstein formalism
# Fitting 15 observations of 15
# Arc: 1.27y
# First observation: 2022/06/02
# Last observation: 2023/09/10
Preliminary a, adot, b, bdot, g, gdot:
0.000001 0.024425 -0.000000 -0.001220 0.024260 0.000000
# Chi-squared of fit: 0.03 DOF: 24 RMS: 0.01
# Min/Max residuals: -0.02 0.01
# Exact a, adot, b, bdot, g, gdot:
1.585093E-05 2.427071E-02 -8.434988E-07 -1.228215E-03 2.414285E-02 -9.413245E-04
# Covariance matrix:
2.5757E-13 -5.9721E-14 7.8237E-15 -3.6732E-13 9.4785E-13 2.1777E-10
-5.9721E-14 2.2182E-10 -2.6065E-12 1.1044E-10 -5.1994E-11 -6.4854E-08
7.8237E-15 -2.6065E-12 2.0087E-13 -1.4765E-12 7.0735E-13 7.8679E-10
-3.6732E-13 1.1044E-10 -1.4765E-12 5.7181E-11 -3.0363E-11 -3.3434E-08
9.4785E-13 -5.1994E-11 7.0735E-13 -3.0363E-11 2.2782E-11 1.7853E-08
2.1777E-10 -6.4854E-08 7.8679E-10 -3.3434E-08 1.7853E-08 1.9639E-05
# lat0 lon0 xBary yBary zBary JD0
1.002432 -72.333675 0.605148 0.013991 -0.814969 2459732.944521
# Heliocentric elements and errors
Epoch: 2459730.5000 = 2022/05/31
Mean Anomaly: 331.42669 +/- 68.866
Argument of Peri: 196.22176 +/- 89.200
Long of Asc Node: 125.68215 +/- 0.052
Inclination: 3.04360 +/- 0.008
Eccentricity: 0.10530953 +/- 0.1106
Semi-Major Axis: 46.39949625 +/- 0.9395
Time of Perihelion: 2468893.2616 +/- 22082.0
Perihelion: 41.51318727 +/- 5.1989
Aphelion: 51.28580523 +/- 5.2345
Period (y) 316.0662 +/- 9.60
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 12.24831872 +/- 0.0025
Ecliptic Y -40.42283281 +/- 0.0078
Ecliptic Z 0.72468002 +/- 0.0001
Ecliptic XDOT 0.00259264 +/- 0.0002
Ecliptic YDOT 0.00094364 +/- 0.0005
Ecliptic ZDOT -0.00014124 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 42.24395679 +/- 0.0075
Geocenter to KBO 41.42012699 +/- 0.0082
# Hcoef: 8.69
The following table shows the complete astrometric record for 22LK15. 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 (22LK15) followed by the observatory code and reference code for the source of the astrometry.
2022 06 02.44372 19 16 00.846 -21 16 44.19 24.7r 22LK15 266 C~6Ipa 2022 06 02.53086 19 16 00.504 -21 16 44.79 24.7r 22LK15 266 C~6Ipa 2022 06 02.61096 19 16 00.188 -21 16 45.34 24.7r 22LK15 266 C~6Ipa 2022 06 03.44086 19 15 56.984 -21 16 51.07 24.8r 22LK15 266 C~6Ipa 2022 06 03.52767 19 15 56.638 -21 16 51.69 24.8r 22LK15 266 C~6Ipa 2022 06 03.61505 19 15 56.288 -21 16 52.29 24.8r 22LK15 266 C~6Ipa 2022 06 29.45230 19 13 59.668 -21 20 25.72 25.1r 22LK15 266 C~6Ipa 2022 06 29.51532 19 13 59.352 -21 20 26.29 25.1r 22LK15 266 C~6Ipa 2022 06 29.57836 19 13 59.035 -21 20 26.86 25.1r 22LK15 266 C~6Ipa 2023 09 09.22891 19 15 01.767 -21 24 18.90 22LK15 266 C~8ecH 2023 09 09.32430 19 15 01.561 -21 24 19.43 22LK15 266 C~8ecH 2023 09 09.41985 19 15 01.357 -21 24 19.94 22LK15 266 C~8ecH 2023 09 10.22905 19 14 59.736 -21 24 24.41 22LK15 266 C~8ecH 2023 09 10.32490 19 14 59.537 -21 24 24.93 22LK15 266 C~8ecH 2023 09 10.42059 19 14 59.341 -21 24 25.42 22LK15 266 C~8ecH
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 0.01
2 0.0002 -4.82 0.01 0.02 0.01
3 0.0005 -9.27 0.00 0.05 0.01
4 0.0027 -54.42 -0.01 0.17 -0.00
5 0.0030 -59.29 -0.01 0.18 -0.01
6 0.0032 -64.22 -0.02 0.22 -0.00
7 0.0739 -1707.86 -0.01 -3.02 -0.01
8 0.0741 -1712.31 0.01 -3.03 -0.00
9 0.0743 -1716.78 -0.00 -3.04 -0.01
10 1.2698 -877.10 0.01 -344.64 -0.00
11 1.2700 -880.02 0.01 -344.79 -0.00
12 1.2703 -882.91 0.00 -344.93 -0.01
13 1.2725 -905.94 0.00 -346.47 0.00
14 1.2728 -908.76 -0.01 -346.63 0.00
15 1.2730 -911.54 -0.01 -346.77 0.00
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.
22LK15 quality flag:1 Type: CLASSICAL SCATNEAR CLASSICAL axisobj 45.942 61.301 45.908 ecceobj 0.100 0.463 0.109 incobj 3.047 3.074 3.045 qmin 40.872 32.002 40.369 qmax 51.731 130.891 52.191 amean 46.185 68.899 46.145 amin 45.821 61.061 45.757 amax 46.585 81.958 46.557 emean 0.099 0.519 0.109 emin 0.085 0.454 0.095 emax 0.111 0.597 0.121 imean 1.901 3.996 1.925 imin 1.433 1.587 1.423 imax 2.328 6.060 2.414 excite_mean 0.104 0.524 0.114 fracstop 1.000 1.000 1.000 cjmean 3.115 3.010 3.112 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 175.3 182.3 178.0 kozaiamp 180.0 180.0 179.9