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: 21LN43
# Created Sun Dec 22 02:11:17 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 11 observations of 11
# Arc: 7.24y
# First observation: 2015/02/02
# Last observation: 2022/04/30
# Chi-squared of fit: 2.12 DOF: 16 RMS: 0.08
# Min/Max residuals: -0.17 0.13
# Exact a, adot, b, bdot, g, gdot:
1.138233E-05 1.281485E-02 9.949558E-07 1.118232E-03 1.743590E-02 -1.199169E-03
# Covariance matrix:
6.9821E-13 -8.1971E-13 3.7801E-14 -6.0629E-14 -1.2097E-12 -7.4663E-12
-8.1971E-13 3.5604E-12 -1.8303E-13 2.7992E-13 6.1312E-12 3.5149E-11
3.7801E-14 -1.8303E-13 5.4327E-13 -9.1650E-14 -3.2082E-13 -1.8082E-12
-6.0629E-14 2.7992E-13 -9.1650E-14 3.7273E-14 4.6738E-13 2.7989E-12
-1.2097E-12 6.1312E-12 -3.2082E-13 4.6738E-13 1.1214E-11 5.9900E-11
-7.4663E-12 3.5149E-11 -1.8082E-12 2.7989E-12 5.9900E-11 3.4971E-10
# lat0 lon0 xBary yBary zBary JD0
5.845845 -139.783841 0.981919 0.004715 -0.044276 2457055.809559
# Heliocentric elements and errors
Epoch: 2457056.5000 = 2015/02/03
Mean Anomaly: 213.47588 +/- 0.328
Argument of Peri: 207.15421 +/- 0.293
Long of Asc Node: 170.34444 +/- 0.003
Inclination: 7.73171 +/- 0.000
Eccentricity: 0.22629519 +/- 0.0003
Semi-Major Axis: 47.80983390 +/- 0.0264
Time of Perihelion: 2506201.6755 +/- 124.8
Perihelion: 36.99069846 +/- 0.0252
Aphelion: 58.62896933 +/- 0.0356
Period (y) 330.5857 +/- 0.27
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -44.23828892 +/- 0.0084
Ecliptic Y -36.11742411 +/- 0.0071
Ecliptic Z 5.84154623 +/- 0.0011
Ecliptic XDOT 0.00145218 +/- 0.0000
Ecliptic YDOT -0.00140954 +/- 0.0000
Ecliptic ZDOT 0.00015559 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 57.40754658 +/- 0.0078
Geocenter to KBO 57.35301677 +/- 0.0110
# Hcoef: 5.45
The following table shows the complete astrometric record for 21LN43. 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 (21LN43) followed by the observatory code and reference code for the source of the astrometry.
2015 02 02.308781 14 38 38.99 -09 19 33.4 23.1V 21LN43 W84 C~6DKi 2015 02 02.310843 14 38 38.98 -09 19 33.4 23.3V 21LN43 W84 C~6DKi 2016 03 05.411111 14 41 15.58 -09 24 13.1 22.9V 21LN43 W84 C~6DKi 2021 06 06.13503 14 51 32.011 -09 48 53.97 23.0r 21LN43 807 C~6DKi 2021 06 07.05739 14 51 29.239 -09 48 44.38 23.1r 21LN43 807 C~6DKi 2022 04 08.22427 14 57 55.213 -10 13 59.62 23.0r 21LN43 304 C~6DKi 2022 04 08.26319 14 57 55.105 -10 13 58.97 23.0r 21LN43 304 C~6DKi 2022 04 09.16947 14 57 52.304 -10 13 42.88 22.8r 21LN43 304 C~6DKi 2022 04 29.28987 14 56 44.455 -10 07 48.20 22.7r 21LN43 304 C~6DKi 2022 04 29.35958 14 56 44.207 -10 07 47.03 23.0r 21LN43 304 C~6DKi 2022 04 30.30895 14 56 40.823 -10 07 30.64 22.8r 21LN43 304 C~6DKi
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 0.05 0.00 -0.01
2 0.0000 0.00 -0.11 0.00 -0.02
3 1.0872 0.00 0.09 0.00 0.07
4 6.3404 0.00 -0.04 0.00 -0.06
5 6.3429 0.00 -0.09 0.00 -0.11
6 7.1784 0.00 -0.17 0.00 0.05
7 7.1785 0.00 0.04 0.00 0.01
8 7.1810 0.00 0.02 0.00 0.13
9 7.2361 0.00 0.07 0.00 -0.01
10 7.2363 0.00 0.12 0.00 -0.05
11 7.2389 0.00 0.04 0.00 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.
21LN43 quality flag:3 Type: 2:1E 2:1E 2:1E axisobj 47.485 47.485 47.485 ecceobj 0.235 0.235 0.235 incobj 7.767 7.767 7.767 qmin 35.487 35.487 35.487 qmax 60.727 60.726 60.728 amean 47.798 47.798 47.798 amin 47.265 47.266 47.264 amax 48.409 48.413 48.403 emean 0.235 0.235 0.235 emin 0.214 0.214 0.214 emax 0.256 0.256 0.256 imean 7.048 7.048 7.047 imin 6.474 6.474 6.473 imax 7.720 7.721 7.719 excite_mean 0.265 0.265 0.265 fracstop 1.000 1.000 1.000 cjmean 3.060 3.060 3.060 libcent 0 81.7 81.8 81.9 libamp 0 31.6 31.5 31.5 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 185.9 185.9 185.9 kozaiamp 180.0 180.0 180.0