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: 22LK16 # Created Wed Jul 17 01:11:56 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 24 observations of 24 # Arc: 23.40y # First observation: 1999/03/21 # Last observation: 2022/08/16 # Chi-squared of fit: 7.67 DOF: 42 RMS: 0.10 # Min/Max residuals: -0.38 0.20 # Exact a, adot, b, bdot, g, gdot: 1.798797E-05 3.189836E-02 -7.658427E-06 -1.362548E-02 2.864152E-02 -2.930324E-04 # Covariance matrix: 4.7877E-13 -3.7490E-14 -2.3071E-14 8.0221E-15 2.2445E-15 -1.8975E-14 -3.7490E-14 1.0215E-14 1.1647E-14 -3.9040E-15 1.7889E-14 9.1884E-15 -2.3071E-14 1.1647E-14 4.3378E-13 -2.3874E-14 2.2716E-14 1.1526E-14 8.0221E-15 -3.9040E-15 -2.3874E-14 2.5781E-15 -7.1311E-15 -3.8715E-15 2.2445E-15 1.7889E-14 2.2716E-14 -7.1311E-15 9.7883E-14 1.6626E-14 -1.8975E-14 9.1884E-15 1.1526E-14 -3.8715E-15 1.6626E-14 9.1148E-15 # lat0 lon0 xBary yBary zBary JD0 21.505898 -112.052363 0.927830 0.140698 -0.357783 2451258.990241 # Heliocentric elements and errors Epoch: 2451258.5000 = 1999/03/21 Mean Anomaly: 355.94622 +/- 0.001 Argument of Peri: 142.61045 +/- 0.001 Long of Asc Node: 107.47990 +/- 0.000 Inclination: 30.61654 +/- 0.000 Eccentricity: 0.30780958 +/- 0.0001 Semi-Major Axis: 50.85243041 +/- 0.0626 Time of Perihelion: 2452750.0022 +/- 241.7 Perihelion: 35.19956539 +/- 0.0434 Aphelion: 66.50529542 +/- 0.0819 Period (y) 362.6401 +/- 0.67 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -13.19162672 +/- 0.0002 Ecliptic Y -30.11501624 +/- 0.0005 Ecliptic Z 12.79928295 +/- 0.0002 Ecliptic XDOT 0.00265445 +/- 0.0000 Ecliptic YDOT -0.00155435 +/- 0.0000 Ecliptic ZDOT -0.00122204 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 35.28110555 +/- 0.0004 Geocenter to KBO 34.91437524 +/- 0.0005 # Hcoef: 6.91
The following table shows the complete astrometric record for 22LK16. 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 (22LK16) followed by the observatory code and reference code for the source of the astrometry.
1999 03 21.489498 16 38 12.99 -00 22 54.3 22.7r 22LK16 645 C~6q1I 1999 03 21.490327 16 38 12.99 -00 22 54.2 22.3i 22LK16 645 C~6q1I 1999 03 21.492815 16 38 13.00 -00 22 54.4 23.4g 22LK16 645 C~6q1I 2015 09 04.177206 18 18 29.21 -16 33 17.2 22LK16 W84 C~6q1I 2015 09 04.178404 18 18 29.21 -16 33 17.1 22LK16 W84 C~6q1I 2015 09 04.179607 18 18 29.20 -16 33 17.1 22LK16 W84 C~6q1I 2015 09 04.180335 18 18 29.21 -16 33 17.0 22LK16 W84 C~6q1I 2019 04 04.615731 18 56 28.39 -19 24 55.2 22LK16 T14 C~6q1I 2019 04 04.618993 18 56 28.40 -19 24 55.2 22LK16 T14 C~6q1I 2019 04 04.622256 18 56 28.40 -19 24 55.2 22LK16 T14 C~6q1I 2021 07 27.210056 19 03 58.18 -21 21 15.5 22LK16 W84 C~6q1I 2022 06 02.44372 19 16 10.353 -21 49 03.16 22.5r 22LK16 266 C~6Ipb 2022 06 02.53086 19 16 09.965 -21 49 04.63 22.5r 22LK16 266 C~6Ipb 2022 06 02.61096 19 16 09.607 -21 49 05.96 22.5r 22LK16 266 C~6Ipb 2022 06 03.44086 19 16 05.979 -21 49 19.90 22.4r 22LK16 266 C~6Ipb 2022 06 03.52767 19 16 05.586 -21 49 21.38 22.4r 22LK16 266 C~6Ipb 2022 06 03.61505 19 16 05.189 -21 49 22.85 22.4r 22LK16 266 C~6Ipb 2022 06 29.45230 19 13 52.676 -21 57 13.33 22.4r 22LK16 266 C~6Ipb 2022 06 29.51672 19 13 52.307 -21 57 14.56 22.4r 22LK16 266 C~6Ipb 2022 06 29.58117 19 13 51.938 -21 57 15.77 22.4r 22LK16 266 C~6Ipb 2022 06 30.45132 19 13 47.051 -21 57 32.45 22.4r 22LK16 266 C~6Ipb 2022 06 30.51752 19 13 46.670 -21 57 33.71 22.4r 22LK16 266 C~6Ipb 2022 06 30.58389 19 13 46.289 -21 57 34.96 22.4r 22LK16 266 C~6Ipb 2022 08 16.150900 19 09 38.30 -22 11 57.9 22LK16 W84 C~6q1I
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 -0.07 0.00 0.04
2 0.0000 0.00 -0.06 0.00 0.11
3 0.0000 0.00 0.13 0.00 -0.16
4 16.4564 0.00 0.04 0.00 -0.21
5 16.4564 0.00 0.07 0.00 -0.08
6 16.4564 0.00 -0.05 0.00 -0.06
7 16.4564 0.00 0.11 0.00 0.06
8 20.0387 0.00 -0.11 0.00 0.18
9 20.0387 0.00 -0.01 0.00 0.19
10 20.0387 0.00 -0.06 0.00 0.20
11 22.3510 0.00 -0.38 0.00 0.09
12 23.2004 0.00 0.03 0.00 -0.02
13 23.2007 0.00 0.03 0.00 -0.02
14 23.2009 0.00 0.02 0.00 -0.02
15 23.2032 0.00 0.03 0.00 -0.02
16 23.2034 0.00 0.03 0.00 -0.02
17 23.2036 0.00 0.01 0.00 -0.02
18 23.2744 0.00 0.01 0.00 -0.02
19 23.2745 0.00 0.00 0.00 -0.03
20 23.2747 0.00 -0.01 0.00 -0.02
21 23.2771 0.00 0.01 0.00 -0.03
22 23.2773 0.00 -0.00 0.00 -0.03
23 23.2775 0.00 -0.01 0.00 -0.03
24 23.4050 0.00 0.17 0.00 -0.10
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.
22LK16 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 50.740 50.740 50.740 ecceobj 0.306 0.306 0.306 incobj 30.638 30.638 30.638 qmin 33.929 34.005 34.000 qmax 68.988 69.107 69.035 amean 51.111 51.176 51.149 amin 50.582 50.654 50.648 amax 51.741 51.809 51.754 emean 0.312 0.312 0.311 emin 0.291 0.291 0.291 emax 0.335 0.335 0.334 imean 28.944 28.987 28.999 imin 28.376 28.426 28.431 imax 29.688 29.741 29.718 excite_mean 0.576 0.577 0.576 fracstop 1.000 1.000 1.000 cjmean 2.755 2.755 2.755 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 187.1 190.4 191.1 kozaiamp 180.0 180.0 179.9