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: 21LN44
# Created Wed May 8 01:18:43 2024
# Orbit generated from Bernstein formalism
# Fitting 12 observations of 12
# Arc: 88.95d
# First observation: 2021/06/09
# Last observation: 2021/09/06
Preliminary a, adot, b, bdot, g, gdot:
-0.000012 0.061041 -0.000011 -0.003041 0.035588 0.000000
# Chi-squared of fit: 0.01 DOF: 18 RMS: 0.01
# Min/Max residuals: -0.01 0.01
# Exact a, adot, b, bdot, g, gdot:
1.864445E-05 3.699837E-02 -1.647645E-06 -3.244018E-03 3.141796E-02 -3.829677E-03
# Covariance matrix:
3.6887E-13 -3.9252E-11 2.0195E-14 -5.3928E-13 -5.0124E-12 3.2532E-10
-3.9252E-11 1.9680E-07 -9.2980E-11 1.9459E-09 3.2046E-08 -7.0001E-07
2.0195E-14 -9.2980E-11 2.6013E-13 -2.0508E-12 -1.5124E-11 3.3360E-10
-5.3928E-13 1.9459E-09 -2.0508E-12 3.3045E-11 3.1554E-10 -7.1337E-09
-5.0124E-12 3.2046E-08 -1.5124E-11 3.1554E-10 5.2284E-09 -1.1243E-07
3.2532E-10 -7.0001E-07 3.3360E-10 -7.1337E-09 -1.1243E-07 2.7377E-06
# lat0 lon0 xBary yBary zBary JD0
1.407874 -72.488039 0.497733 0.021432 -0.880783 2459374.942811
# Heliocentric elements and errors
Epoch: 2459370.5000 = 2021/06/05
Mean Anomaly: 333.14291 +/- 4.177
Argument of Peri: 205.59550 +/- 7.558
Long of Asc Node: 121.95362 +/- 0.179
Inclination: 5.17628 +/- 0.060
Eccentricity: 0.21150186 +/- 0.0476
Semi-Major Axis: 39.72368962 +/- 1.3638
Time of Perihelion: 2466192.7759 +/- 1001.1
Perihelion: 31.32205554 +/- 2.1766
Aphelion: 48.12532370 +/- 2.5122
Period (y) 250.3702 +/- 12.89
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 9.37324715 +/- 0.0220
Ecliptic Y -31.33940266 +/- 0.0698
Ecliptic Z 0.78204749 +/- 0.0018
Ecliptic XDOT 0.00298199 +/- 0.0000
Ecliptic YDOT 0.00128883 +/- 0.0001
Ecliptic ZDOT -0.00029100 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 32.72044498 +/- 0.0672
Geocenter to KBO 31.82893091 +/- 0.0733
# Hcoef: 9.70
The following table shows the complete astrometric record for 21LN44. 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 (21LN44) followed by the observatory code and reference code for the source of the astrometry.
2021 06 09.44201 19 15 08.043 -20 53 48.34 24.8r 21LN44 266 C~6Ip2 2021 06 09.52601 19 15 07.590 -20 53 49.20 24.8r 21LN44 266 C~6Ip2 2021 06 09.61426 19 15 07.113 -20 53 50.07 24.8r 21LN44 266 C~6Ip2 2021 06 17.43605 19 14 23.827 -20 55 13.44 24.7r 21LN44 266 C~6Ip2 2021 06 17.50053 19 14 23.449 -20 55 14.17 24.7r 21LN44 266 C~6Ip2 2021 06 17.57953 19 14 22.986 -20 55 15.04 24.7r 21LN44 266 C~6Ip2 2021 07 05.35106 19 12 34.992 -20 58 48.76 24.5r 21LN44 266 C~6Ip2 2021 07 05.43951 19 12 34.427 -20 58 49.90 24.5r 21LN44 266 C~6Ip2 2021 07 05.52517 19 12 33.879 -20 58 50.97 24.5r 21LN44 266 C~6Ip2 2021 09 06.23258 19 07 16.077 -21 10 54.42 25.1r 21LN44 266 C~6Ip2 2021 09 06.31281 19 07 15.865 -21 10 55.08 25.1r 21LN44 266 C~6Ip3 2021 09 06.39352 19 07 15.653 -21 10 55.71 25.1r 21LN44 266 C~6Ip3
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 -0.00 0.00 0.00
2 0.0002 -6.41 0.01 -0.04 -0.00
3 0.0005 -13.15 0.01 -0.05 0.00
4 0.0219 -625.36 -0.01 -5.38 -0.01
5 0.0221 -630.71 -0.00 -5.43 -0.01
6 0.0223 -637.25 0.00 -5.47 -0.01
7 0.0709 -2165.01 -0.00 -27.54 0.01
8 0.0712 -2173.00 0.00 -27.69 0.01
9 0.0714 -2180.75 0.00 -27.79 0.01
10 0.2431 -6685.65 -0.00 -212.22 0.00
11 0.2433 -6688.68 0.00 -212.53 -0.01
12 0.2435 -6691.70 -0.00 -212.82 -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.
21LN44 quality flag:1 Type: 3:2E CENTAURR CENTAURR axisobj 39.195 42.603 37.158 ecceobj 0.205 0.307 0.137 incobj 5.186 4.981 5.401 qmin 30.697 29.300 25.236 qmax 48.789 62.179 65.714 amean 39.456 43.737 42.635 amin 39.058 41.200 27.244 amax 39.928 46.087 48.873 emean 0.205 0.316 0.234 emin 0.189 0.277 0.031 emax 0.222 0.349 0.348 imean 3.880 2.992 2.970 imin 3.436 1.812 1.006 imax 4.587 4.449 4.873 excite_mean 0.215 0.321 0.241 fracstop 1.000 0.007 0.670 cjmean 2.999 2.970 3.012 libcent 0 180.1 -180.0 -180.0 libamp 0 63.9 -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 150.4 285.8 173.3 kozaiamp 180.0 60.6 180.0