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: 21LM44 # Created Sun Nov 24 02:11:08 2024 # Orbit generated from Bernstein formalism # Fitting 21 observations of 21 # Arc: 1.37y # First observation: 2021/06/09 # Last observation: 2022/10/23 Preliminary a, adot, b, bdot, g, gdot: -0.000027 0.018648 -0.000000 -0.000033 0.021277 0.000000 # Chi-squared of fit: 0.15 DOF: 36 RMS: 0.01 # Min/Max residuals: -0.02 0.04 # Exact a, adot, b, bdot, g, gdot: 1.382925E-05 1.869142E-02 -1.129213E-08 -4.049496E-05 2.142166E-02 -3.956213E-04 # Covariance matrix: 3.4901E-13 -2.3619E-13 7.9085E-15 -1.1946E-13 1.2321E-12 2.3162E-10 -2.3619E-13 1.4345E-12 -2.1014E-14 3.2476E-13 -2.0030E-12 -5.8804E-10 7.9085E-15 -2.1014E-14 1.3930E-13 -1.1685E-13 6.3608E-14 1.4862E-11 -1.1946E-13 3.2476E-13 -1.1685E-13 2.9760E-13 -9.6865E-13 -2.2728E-10 1.2321E-12 -2.0030E-12 6.3608E-14 -9.6865E-13 8.5578E-12 1.8338E-09 2.3162E-10 -5.8804E-10 1.4862E-11 -2.2728E-10 1.8338E-09 4.2488E-07 # lat0 lon0 xBary yBary zBary JD0 1.367274 -73.026769 0.489427 0.020919 -0.885438 2459374.942811 # Heliocentric elements and errors Epoch: 2459370.5000 = 2021/06/05 Mean Anomaly: 205.49207 +/- 20.471 Argument of Peri: 253.02697 +/- 20.477 Long of Asc Node: 191.60597 +/- 0.055 Inclination: 1.34634 +/- 0.000 Eccentricity: 0.08320430 +/- 0.0121 Semi-Major Axis: 44.20606024 +/- 0.0856 Time of Perihelion: 2505445.9323 +/- 6103.1 Perihelion: 40.52792613 +/- 0.5398 Aphelion: 47.88419435 +/- 0.5421 Period (y) 293.9212 +/- 0.85 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 13.42238709 +/- 0.0018 Ecliptic Y -45.63038260 +/- 0.0061 Ecliptic Z 1.11395724 +/- 0.0002 Ecliptic XDOT 0.00227570 +/- 0.0000 Ecliptic YDOT 0.00075274 +/- 0.0001 Ecliptic ZDOT -0.00000657 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 47.57660341 +/- 0.0059 Geocenter to KBO 46.68173017 +/- 0.0064 # Hcoef: 8.06
The following table shows the complete astrometric record for 21LM44. 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 (21LM44) followed by the observatory code and reference code for the source of the astrometry.
2021 06 09.44201 19 12 52.060 -21 00 18.12 25.1r 21LM44 266 C~6Ip2 2021 06 09.52741 19 12 51.720 -21 00 18.64 25.1r 21LM44 266 C~6Ip2 2021 06 09.61426 19 12 51.374 -21 00 19.15 25.1r 21LM44 266 C~6Ip2 2021 06 17.43605 19 12 19.550 -21 01 09.08 25.4r 21LM44 266 C~6Ip2 2021 06 17.50053 19 12 19.274 -21 01 09.52 25.4r 21LM44 266 C~6Ip2 2021 06 17.57953 19 12 18.935 -21 01 10.04 25.4r 21LM44 266 C~6Ip2 2021 07 05.35106 19 11 00.324 -21 03 19.52 25.7r 21LM44 266 C~6Ip2 2021 07 05.43951 19 10 59.915 -21 03 20.22 25.7r 21LM44 266 C~6Ip2 2021 07 05.52517 19 10 59.518 -21 03 20.87 25.7r 21LM44 266 C~6Ip2 2021 09 06.23258 19 07 06.277 -21 10 40.04 25.6r 21LM44 266 C~6Ip2 2021 09 06.31281 19 07 06.111 -21 10 40.42 25.6r 21LM44 266 C~6Ip2 2021 09 06.39352 19 07 05.945 -21 10 40.79 25.6r 21LM44 266 C~6Ip2 2022 10 20.21696 19 11 29.109 -21 04 43.13 24.1V 21LM44 266 C~7um8 2022 10 20.26058 19 11 29.182 -21 04 43.06 24.1V 21LM44 266 C~7um8 2022 10 20.29842 19 11 29.246 -21 04 43.01 24.1V 21LM44 266 C~7um8 2022 10 21.20926 19 11 30.879 -21 04 41.75 23.9V 21LM44 266 C~7um8 2022 10 21.25420 19 11 30.958 -21 04 41.68 23.9V 21LM44 266 C~7um8 2022 10 21.29846 19 11 31.036 -21 04 41.60 23.9V 21LM44 266 C~7um8 2022 10 23.20599 19 11 34.697 -21 04 38.67 24.2V 21LM44 266 C~7um8 2022 10 23.25093 19 11 34.784 -21 04 38.58 24.2V 21LM44 266 C~7um8 2022 10 23.29489 19 11 34.870 -21 04 38.49 24.2V 21LM44 266 C~7um8
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 -0.00 2 0.0002 -4.79 -0.00 0.08 -0.00 3 0.0005 -9.66 -0.00 0.17 -0.00 4 0.0219 -458.03 0.00 5.87 0.01 5 0.0221 -461.92 0.01 5.91 0.01 6 0.0223 -466.69 0.01 5.98 0.01 7 0.0709 -1574.86 -0.01 12.30 0.01 8 0.0712 -1580.63 -0.00 12.31 -0.00 9 0.0714 -1586.23 -0.00 12.34 -0.00 10 0.2431 -4879.82 -0.00 -37.20 -0.01 11 0.2433 -4882.17 0.00 -37.31 -0.00 12 0.2435 -4884.52 0.00 -37.41 -0.01 13 1.3628 -1185.12 -0.02 -119.79 -0.02 14 1.3630 -1184.10 -0.02 -119.84 -0.02 15 1.3631 -1183.21 -0.02 -119.90 -0.02 16 1.3656 -1160.37 0.03 -121.45 0.03 17 1.3657 -1159.26 0.03 -121.51 0.03 18 1.3658 -1158.17 0.02 -121.57 0.04 19 1.3710 -1106.95 -0.00 -124.93 -0.02 20 1.3711 -1105.73 -0.00 -124.99 -0.01 21 1.3713 -1104.53 -0.00 -125.04 -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.
21LM44 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.760 44.145 43.744 ecceobj 0.093 0.149 0.088 incobj 1.349 1.348 1.349 qmin 38.751 36.082 38.920 qmax 49.516 52.959 49.307 amean 43.970 44.306 43.957 amin 43.610 43.882 43.605 amax 44.360 44.751 44.342 emean 0.099 0.158 0.094 emin 0.080 0.135 0.075 emax 0.116 0.184 0.112 imean 2.476 2.782 2.450 imin 1.332 1.097 1.361 imax 3.371 4.268 3.331 excite_mean 0.108 0.166 0.103 fracstop 1.000 1.000 1.000 cjmean 3.087 3.071 3.088 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 184.8 191.0 184.1 kozaiamp 179.9 180.0 180.0