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: 21LR43 # Created Sun Nov 24 02:11:07 2024 # Orbit generated from Bernstein formalism # Fitting 10 observations of 10 # Arc: 0.88y # First observation: 2021/06/11 # Last observation: 2022/04/30 Preliminary a, adot, b, bdot, g, gdot: -0.000001 0.013265 -0.000001 -0.008306 0.017989 0.000000 # Chi-squared of fit: 2.51 DOF: 14 RMS: 0.09 # Min/Max residuals: -0.16 0.17 # Exact a, adot, b, bdot, g, gdot: 1.122883E-05 1.296684E-02 -7.542322E-06 -8.245581E-03 1.806753E-02 -7.411773E-03 # Covariance matrix: 6.5921E-13 2.7127E-12 -5.4970E-14 -1.7566E-12 3.2835E-12 2.5461E-10 2.7127E-12 7.5481E-10 -1.5852E-12 -3.3996E-10 5.1897E-10 4.7863E-08 -5.4970E-14 -1.5852E-12 5.0359E-13 1.9008E-13 -1.3936E-12 -1.1396E-10 -1.7566E-12 -3.3996E-10 1.9008E-13 1.5483E-10 -2.3571E-10 -2.1660E-08 3.2835E-12 5.1897E-10 -1.3936E-12 -2.3571E-10 3.6363E-10 3.3232E-08 2.5461E-10 4.7863E-08 -1.1396E-10 -2.1660E-08 3.3232E-08 3.0515E-06 # lat0 lon0 xBary yBary zBary JD0 -9.183488 -128.549073 -0.491023 -0.141363 -0.873358 2459377.480811 # Heliocentric elements and errors Epoch: 2459370.5000 = 2021/06/05 Mean Anomaly: 327.23821 +/- 8.241 Argument of Peri: 282.34569 +/- 0.950 Long of Asc Node: 37.96628 +/- 0.016 Inclination: 33.32779 +/- 0.028 Eccentricity: 0.49748312 +/- 0.1182 Semi-Major Axis: 77.48183947 +/- 12.2402 Time of Perihelion: 2482041.1239 +/- 1914.2 Perihelion: 38.93593214 +/- 11.0311 Aphelion: 116.02774679 +/- 20.4895 Period (y) 682.0372 +/- 161.62 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -34.20900077 +/- 0.0359 Ecliptic Y -43.73457015 +/- 0.0451 Ecliptic Z -8.83372686 +/- 0.0093 Ecliptic XDOT 0.00235749 +/- 0.0002 Ecliptic YDOT -0.00019429 +/- 0.0002 Ecliptic ZDOT -0.00105441 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 56.22279867 +/- 0.0414 Geocenter to KBO 55.34790255 +/- 0.0584 # Hcoef: 6.75
The following table shows the complete astrometric record for 21LR43. 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 (21LR43) followed by the observatory code and reference code for the source of the astrometry.
2021 06 11.98001 15 05 23.636 -26 58 13.66 24.4r 21LR43 807 C~6Eqe 2021 06 12.13531 15 05 23.100 -26 58 11.67 24.3r 21LR43 807 C~6Eqe 2021 09 03.01954 15 04 14.228 -26 48 02.86 24.2r 21LR43 304 C~6Eqe 2021 09 03.05739 15 04 14.300 -26 48 02.86 24.1r 21LR43 304 C~6Eqe 2022 04 09.21973 15 12 16.070 -27 48 06.58 24.0r 21LR43 304 C~6Eqe 2022 04 09.25180 15 12 15.952 -27 48 06.70 24.2r 21LR43 304 C~6Eqe 2022 04 09.34315 15 12 15.624 -27 48 06.42 24.1r 21LR43 304 C~6Eqe 2022 04 29.34078 15 10 58.696 -27 46 30.73 24.1r 21LR43 304 C~6Eqe 2022 04 29.37146 15 10 58.570 -27 46 30.58 24.3r 21LR43 304 C~6Eqe 2022 04 30.36422 15 10 54.473 -27 46 22.88 24.0r 21LR43 304 C~6Eqe
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 0.02 0.00 0.07
2 0.0004 -7.44 0.12 -0.08 -0.00
3 0.2273 -1062.22 -0.02 327.21 -0.09
4 0.2275 -1061.29 -0.16 327.48 -0.01
5 0.8247 6101.23 -0.07 -1389.26 0.13
6 0.8248 6099.75 -0.07 -1389.79 -0.05
7 0.8251 6095.48 -0.13 -1390.67 0.05
8 0.8798 5085.23 0.13 -1570.07 0.02
9 0.8799 5083.57 0.17 -1570.37 -0.06
10 0.8826 5029.09 0.00 -1577.49 -0.06
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.
21LR43 quality flag:0 Type: ERR2LARGE ERR2LARGE ERR2LARGE axisobj 0.000 0.000 0.000 ecceobj -1.000 -1.000 -1.000 incobj -1.000 -1.000 -1.000 qmin 0.000 0.000 0.000 qmax 0.000 0.000 0.000 amean 0.000 0.000 0.000 amin 0.000 0.000 0.000 amax 0.000 0.000 0.000 emean 0.000 0.000 0.000 emin 0.000 0.000 0.000 emax 0.000 0.000 0.000 imean 0.000 0.000 0.000 imin 0.000 0.000 0.000 imax 0.000 0.000 0.000 excite_mean 0.000 0.000 0.000 fracstop 0.000 0.000 0.000 cjmean 0.000 0.000 0.000 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 0.0 0.0 0.0 kozaiamp 0.0 0.0 0.0