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: 24LC5 # Created Wed Jul 17 01:12:01 2024 # Orbit generated from Bernstein formalism # Fitting 24 observations of 24 # Arc: 45.98d # First observation: 2024/05/18 # Last observation: 2024/07/03 Preliminary a, adot, b, bdot, g, gdot: 0.000202 0.477236 -0.001601 0.287137 0.166499 0.000000 # Chi-squared of fit: 42.04 DOF: 42 RMS: 0.23 # Min/Max residuals: -0.55 0.81 # Exact a, adot, b, bdot, g, gdot: 4.532987E-05 4.636303E-01 2.152821E-05 2.310447E-01 1.630560E-01 7.351981E-02 # Covariance matrix: 7.0650E-13 -1.9518E-11 7.6442E-15 1.0333E-11 -5.3123E-12 -3.6386E-12 -1.9518E-11 7.3899E-10 -4.5082E-12 -2.9652E-10 2.2713E-10 1.9348E-09 7.6442E-15 -4.5082E-12 7.0411E-13 -1.4489E-11 -1.3736E-12 -1.6981E-10 1.0333E-11 -2.9652E-10 -1.4489E-11 6.3230E-10 -1.0072E-10 4.7214E-09 -5.3123E-12 2.2713E-10 -1.3736E-12 -1.0072E-10 7.4401E-11 5.8988E-10 -3.6386E-12 1.9348E-09 -1.6981E-10 4.7214E-09 5.8988E-10 7.2299E-08 # lat0 lon0 xBary yBary zBary JD0 17.581288 -36.940525 1.015720 0.023103 -0.073861 2460448.940651 # Heliocentric elements and errors Epoch: 2460440.5000 = 2024/05/10 Mean Anomaly: 359.74180 +/- 0.012 Argument of Peri: 33.20394 +/- 0.074 Long of Asc Node: 285.54749 +/- 0.003 Inclination: 33.40118 +/- 0.002 Eccentricity: 0.64125303 +/- 0.0003 Semi-Major Axis: 17.53613578 +/- 0.0151 Time of Perihelion: 2460459.7377 +/- 0.9 Perihelion: 6.29103564 +/- 0.0076 Aphelion: 28.78123591 +/- 0.0254 Period (y) 73.4360 +/- 0.10 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 4.13156452 +/- 0.0002 Ecliptic Y -4.36787653 +/- 0.0002 Ecliptic Z 1.85269397 +/- 0.0001 Ecliptic XDOT 0.00467660 +/- 0.0000 Ecliptic YDOT 0.00622499 +/- 0.0000 Ecliptic ZDOT 0.00407119 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 6.29131510 +/- 0.0002 Geocenter to KBO 6.13286049 +/- 0.0003 # Hcoef: 13.36
The following table shows the complete astrometric record for 24LC5. 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 (24LC5) followed by the observatory code and reference code for the source of the astrometry.
2024 05 18.43985 21 18 51.89 +02 49 20.9 24LC5 G96 C~85Nh 2024 05 18.45564 21 18 52.04 +02 49 26.3 21.9G 24LC5 G96 C~85Nh 2024 06 07.415032 21 19 30.176 +04 42 06.88 21.6G 24LC5 V00 C~85Nh 2024 06 07.420673 21 19 30.166 +04 42 08.78 21.9G 24LC5 V00 C~85Nh 2024 06 07.426283 21 19 30.155 +04 42 10.55 21.8G 24LC5 V00 C~85Nh 2024 06 07.431886 21 19 30.130 +04 42 12.49 21.4G 24LC5 V00 C~85Nh 2024 06 07.522318 21 19 29.795 +04 42 41.25 22.1w 24LC5 F52 C~85Nh 2024 06 07.534795 21 19 29.729 +04 42 45.27 22.0w 24LC5 F52 C~85Nh 2024 06 07.547326 21 19 29.679 +04 42 49.10 21.7w 24LC5 F52 C~85Nh 2024 06 07.559850 21 19 29.624 +04 42 52.90 21.7w 24LC5 F52 C~85Nh 2024 06 11.576202 21 19 08.904 +05 03 33.98 21.3G 24LC5 T14 C~85Nh 2024 06 11.577411 21 19 08.897 +05 03 34.37 21.4G 24LC5 T14 C~85Nh 2024 06 11.578623 21 19 08.889 +05 03 34.74 21.3G 24LC5 T14 C~85Nh 2024 06 12.342528 21 19 03.94 +05 07 24.8 21.7G 24LC5 H21 C~85Nh 2024 06 12.349755 21 19 03.88 +05 07 27.2 21.9G 24LC5 H21 C~85Nh 2024 06 15.335567 21 18 41.25 +05 22 10.8 21.5G 24LC5 H21 C~85Nh 2024 06 15.344101 21 18 41.19 +05 22 13.2 21.1G 24LC5 H21 C~85Nh 2024 06 15.349789 21 18 41.15 +05 22 14.6 21.4G 24LC5 H21 C~85Nh 2024 07 01.547188 21 15 14.483 +06 32 57.20 21.4w 24LC5 F51 C~875G 2024 07 01.560076 21 15 14.246 +06 33 00.19 21.4w 24LC5 F51 C~875G 2024 07 01.573036 21 15 14.023 +06 33 03.16 21.3w 24LC5 F51 C~875G 2024 07 03.34200 21 14 43.547 +06 39 43.15 21.4G 24LC5 G37 2024 07 03.38230 21 14 42.811 +06 39 52.17 24LC5 G37 2024 07 03.41964 21 14 42.129 +06 40 00.36 24LC5 G37
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 -0.08 0.00 0.18
2 0.0000 3.85 0.35 4.40 -0.23
3 0.0547 2697.38 -0.55 6234.13 -0.12
4 0.0547 2697.84 -0.31 6235.98 -0.08
5 0.0547 2698.25 -0.11 6237.71 -0.15
6 0.0547 2698.51 -0.06 6239.67 0.02
7 0.0550 2702.92 -0.05 6268.56 0.03
8 0.0550 2703.27 -0.16 6272.69 0.16
9 0.0551 2703.78 -0.10 6276.56 0.01
10 0.0551 2704.21 -0.12 6280.43 -0.14
11 0.0661 2805.89 -0.22 7557.12 0.03
12 0.0661 2805.91 -0.19 7557.52 0.05
13 0.0661 2805.92 -0.18 7557.91 0.05
14 0.0682 2809.10 0.05 7799.90 -0.03
15 0.0682 2809.01 0.01 7802.46 0.22
16 0.0764 2770.05 0.54 8749.30 0.26
17 0.0764 2769.96 0.74 8751.86 0.10
18 0.0764 2769.84 0.81 8753.38 -0.20
19 0.1208 1199.49 -0.02 13772.76 -0.08
20 0.1208 1197.09 -0.18 13776.74 0.00
21 0.1208 1194.89 -0.13 13780.63 -0.02
22 0.1257 891.84 0.01 14307.17 -0.02
23 0.1258 884.31 -0.01 14319.28 0.04
24 0.1259 877.29 -0.05 14330.34 -0.07
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.