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: 21LU43
# Created Wed Dec 25 02:11:13 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 30 observations of 30
# Arc: 9.52y
# First observation: 2013/04/15
# Last observation: 2022/10/23
# Chi-squared of fit: 1.56 DOF: 54 RMS: 0.04
# Min/Max residuals: -0.13 0.11
# Exact a, adot, b, bdot, g, gdot:
1.521659E-05 2.295463E-02 -1.095039E-06 -9.913114E-04 2.373905E-02 9.224701E-04
# Covariance matrix:
1.4401E-12 -4.4123E-13 -3.0436E-14 1.5340E-14 -2.2579E-13 -1.4294E-12
-4.4123E-13 2.0482E-13 1.7237E-14 -8.7212E-15 1.3236E-13 8.1304E-13
-3.0436E-14 1.7237E-14 8.5671E-13 -1.0825E-13 6.3526E-15 7.8115E-14
1.5340E-14 -8.7212E-15 -1.0825E-13 1.4697E-14 -4.6134E-15 -3.8387E-14
-2.2579E-13 1.3236E-13 6.3526E-15 -4.6134E-15 2.3743E-13 4.4676E-13
-1.4294E-12 8.1304E-13 7.8115E-14 -3.8387E-14 4.4676E-13 3.5652E-12
# lat0 lon0 xBary yBary zBary JD0
1.986061 -82.823562 0.952920 0.011090 -0.319479 2456398.111612
# Heliocentric elements and errors
Epoch: 2456398.5000 = 2013/04/16
Mean Anomaly: 75.40509 +/- 0.145
Argument of Peri: 63.51595 +/- 0.153
Long of Asc Node: 134.92982 +/- 0.003
Inclination: 3.12706 +/- 0.000
Eccentricity: 0.01794017 +/- 0.0001
Semi-Major Axis: 42.63219608 +/- 0.0028
Time of Perihelion: 2435102.2487 +/- 40.9
Perihelion: 41.86736733 +/- 0.0045
Aphelion: 43.39702483 +/- 0.0046
Period (y) 278.3651 +/- 0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 4.35502491 +/- 0.0001
Ecliptic Y -42.20317309 +/- 0.0009
Ecliptic Z 1.45988783 +/- 0.0000
Ecliptic XDOT 0.00263411 +/- 0.0000
Ecliptic YDOT 0.00022159 +/- 0.0000
Ecliptic ZDOT -0.00011043 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 42.45237783 +/- 0.0009
Geocenter to KBO 42.12467957 +/- 0.0009
# Hcoef: 6.21
The following table shows the complete astrometric record for 21LU43. 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 (21LU43) followed by the observatory code and reference code for the source of the astrometry.
2013 04 15.610834 18 30 47.76 -21 15 41.9 21LU43 T14 C~6pyQ 2018 06 16.356126 18 55 59.96 -21 05 46.9 21LU43 W84 C~6pyQ 2018 06 16.363735 18 55 59.92 -21 05 46.9 21LU43 W84 C~6pyQ 2018 06 17.176906 18 55 56.07 -21 05 52.1 21LU43 W84 C~6pyQ 2019 06 06.337341 19 02 28.48 -21 00 20.2 21LU43 W84 C~6pyQ 2019 08 08.067015 18 57 31.24 -21 08 12.3 21LU43 W84 C~6pyQ 2019 10 09.040983 18 55 47.95 -21 13 15.0 21LU43 W84 C~6pyQ 2020 05 26.44301 19 08 49.049 -20 54 12.88 22.5r 21LU43 266 C~7um7 2020 05 26.50149 19 08 48.837 -20 54 13.18 22.5r 21LU43 266 C~7um7 2020 05 26.55599 19 08 48.639 -20 54 13.46 22.5r 21LU43 266 C~7um7 2021 06 09.44201 19 13 35.401 -20 49 42.47 22.6r 21LU43 266 C~6Ip1 2021 06 09.52601 19 13 35.035 -20 49 43.08 22.6r 21LU43 266 C~6Ip1 2021 06 09.61426 19 13 34.651 -20 49 43.69 22.6r 21LU43 266 C~6Ip1 2021 06 17.43605 19 12 59.863 -20 50 42.78 22.6r 21LU43 266 C~6Ip1 2021 06 17.50053 19 12 59.560 -20 50 43.29 22.6r 21LU43 266 C~6Ip1 2021 06 17.57953 19 12 59.189 -20 50 43.91 22.6r 21LU43 266 C~6Ip1 2021 07 05.34556 19 11 33.047 -20 53 16.98 23.0r 21LU43 266 C~6Ip1 2021 07 05.35106 19 11 33.019 -20 53 17.00 22.4r 21LU43 266 C~6Ip1 2021 07 05.39262 19 11 32.808 -20 53 17.42 23.0r 21LU43 266 C~6Ip1 2021 07 05.43532 19 11 32.591 -20 53 17.81 23.0r 21LU43 266 C~6Ip1 2021 07 05.43951 19 11 32.570 -20 53 17.82 22.4r 21LU43 266 C~6Ip1 2021 07 05.52517 19 11 32.134 -20 53 18.59 22.4r 21LU43 266 C~6Ip1 2021 07 17.088616 19 10 34.40 -20 55 05.8 21LU43 W84 C~6pyQ 2021 09 06.23258 19 07 17.101 -21 02 06.43 22.8r 21LU43 266 C~6Ip1 2021 09 06.31281 19 07 16.923 -21 02 06.91 22.8r 21LU43 266 C~6Ip1 2021 09 06.39352 19 07 16.745 -21 02 07.37 22.8r 21LU43 266 C~6Ip1 2022 08 16.149530 19 14 00.72 -20 53 40.6 21LU43 W84 C~6pyQ 2022 10 23.20599 19 12 53.446 -20 58 27.97 21.3V 21LU43 266 C~7um7 2022 10 23.25093 19 12 53.546 -20 58 27.90 21.3V 21LU43 266 C~7um7 2022 10 23.29489 19 12 53.644 -20 58 27.82 21.3V 21LU43 266 C~7um7
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 0.09
2 5.1684 0.00 0.04 0.00 0.01
3 5.1684 0.00 -0.01 0.00 0.06
4 5.1706 0.00 -0.05 0.00 -0.05
5 6.1403 0.00 -0.07 0.00 -0.12
6 6.3120 0.00 -0.13 0.00 -0.10
7 6.4817 0.00 0.11 0.00 -0.07
8 7.1125 0.00 0.01 0.00 -0.02
9 7.1126 0.00 0.01 0.00 -0.01
10 7.1128 0.00 0.02 0.00 -0.02
11 8.1501 0.00 -0.01 0.00 0.01
12 8.1503 0.00 -0.01 0.00 0.00
13 8.1506 0.00 -0.01 0.00 0.01
14 8.1720 0.00 -0.00 0.00 -0.01
15 8.1722 0.00 -0.00 0.00 -0.00
16 8.1724 0.00 -0.00 0.00 -0.00
17 8.2210 0.00 -0.01 0.00 -0.01
18 8.2211 0.00 -0.01 0.00 0.02
19 8.2212 0.00 -0.01 0.00 -0.01
20 8.2213 0.00 -0.01 0.00 -0.01
21 8.2213 0.00 -0.00 0.00 0.02
22 8.2215 0.00 -0.01 0.00 0.02
23 8.2532 0.00 -0.06 0.00 0.01
24 8.3932 0.00 -0.01 0.00 0.01
25 8.3934 0.00 0.00 0.00 0.01
26 8.3937 0.00 0.01 0.00 0.01
27 9.3348 0.00 -0.01 0.00 0.06
28 9.5211 0.00 -0.02 0.00 0.03
29 9.5213 0.00 -0.01 0.00 0.02
30 9.5214 0.00 -0.02 0.00 0.03
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.
21LU43 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 42.608 42.608 42.608 ecceobj 0.015 0.015 0.015 incobj 3.124 3.124 3.124 qmin 41.313 41.311 41.316 qmax 44.516 44.516 44.514 amean 42.837 42.837 42.837 amin 42.513 42.513 42.513 amax 43.169 43.170 43.171 emean 0.014 0.014 0.014 emin 0.000 0.000 0.000 emax 0.031 0.031 0.031 imean 2.684 2.684 2.684 imin 1.650 1.650 1.650 imax 3.546 3.546 3.546 excite_mean 0.049 0.049 0.049 fracstop 1.000 1.000 1.000 cjmean 3.085 3.085 3.085 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 185.9 186.0 186.1 kozaiamp 180.0 180.0 179.9