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: 24PL17 # Created Sun Nov 24 02:11:17 2024 # Orbit generated from Bernstein formalism # Fitting 16 observations of 16 # Arc: 0.93y # First observation: 2023/10/05 # Last observation: 2024/09/08 Preliminary a, adot, b, bdot, g, gdot: 0.000031 -0.170418 -0.000085 0.051812 0.102534 0.000000 # Chi-squared of fit: 7.31 DOF: 26 RMS: 0.12 # Min/Max residuals: -0.35 0.27 # Exact a, adot, b, bdot, g, gdot: -2.715248E-05 -1.461563E-01 7.712443E-06 4.590379E-02 8.577616E-02 -1.403801E-01 # Covariance matrix: 3.6715E-13 -5.8063E-13 -2.1953E-17 6.5480E-14 7.3802E-14 1.3288E-12 -5.8063E-13 3.9404E-10 7.4155E-13 -1.1464E-10 -2.4831E-10 -2.4385E-09 -2.1953E-17 7.4155E-13 3.6712E-13 -6.1690E-13 -4.7623E-13 -4.5442E-12 6.5480E-14 -1.1464E-10 -6.1690E-13 3.4099E-11 7.1972E-11 7.1276E-10 7.3802E-14 -2.4831E-10 -4.7623E-13 7.1972E-11 1.5770E-10 1.5326E-09 1.3288E-12 -2.4385E-09 -4.5442E-12 7.1276E-10 1.5326E-09 1.5150E-08 # lat0 lon0 xBary yBary zBary JD0 -35.915922 3.564245 -0.137995 -0.576139 -0.795092 2460222.928375 # Heliocentric elements and errors Epoch: 2460220.5000 = 2023/10/03 Mean Anomaly: 357.71736 +/- 0.047 Argument of Peri: 26.21704 +/- 0.008 Long of Asc Node: 307.20212 +/- 0.003 Inclination: 142.03030 +/- 0.001 Eccentricity: 0.92203538 +/- 0.0011 Semi-Major Axis: 84.29188341 +/- 1.1535 Time of Perihelion: 2462012.8046 +/- 0.9 Perihelion: 6.57178487 +/- 0.1284 Aphelion: 162.01198195 +/- 2.2190 Period (y) 773.9036 +/- 15.89 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 10.40335195 +/- 0.0014 Ecliptic Y 0.78768419 +/- 0.0001 Ecliptic Z -6.83863718 +/- 0.0010 Ecliptic XDOT -0.00247805 +/- 0.0000 Ecliptic YDOT -0.00482041 +/- 0.0000 Ecliptic ZDOT 0.00381503 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 12.47465979 +/- 0.0013 Geocenter to KBO 11.65825139 +/- 0.0017 # Hcoef: 10.81
The following table shows the complete astrometric record for 24PL17. 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 (24PL17) followed by the observatory code and reference code for the source of the astrometry.
2023 10 05.427574 01 16 18.311 -31 12 33.33 21.8w 24PL17 F51 C~8Hfg 2023 10 05.438528 01 16 18.020 -31 12 35.17 21.9w 24PL17 F51 C~8Hfg 2023 10 05.449485 01 16 17.665 -31 12 36.39 21.6w 24PL17 F51 C~8Hfg 2023 10 05.460442 01 16 17.370 -31 12 37.62 21.6w 24PL17 F51 C~8Hfg 2024 08 15.501591 00 54 20.061 -29 55 40.18 21.4w 24PL17 F51 C~8Hfg 2024 08 15.511285 00 54 19.840 -29 55 42.43 21.3w 24PL17 F51 C~8Hfg 2024 08 15.520962 00 54 19.615 -29 55 44.46 21.2w 24PL17 F51 C~8Hfg 2024 08 15.530639 00 54 19.387 -29 55 46.98 21.4w 24PL17 F51 C~8Hfg 2024 09 01.504431 00 46 54.418 -30 59 09.81 21.1G 24PL17 F51 C~8Hfg 2024 09 07.480050 00 43 54.260 -31 19 42.33 21.2w 24PL17 F51 C~8Hfg 2024 09 07.491588 00 43 53.884 -31 19 44.48 21.4w 24PL17 F51 C~8Hfg 2024 09 07.503198 00 43 53.525 -31 19 46.75 21.4w 24PL17 F51 C~8Hfg 2024 09 07.568280 00 43 51.508 -31 19 59.66 21.7G 24PL17 F51 C~8Hfg 2024 09 07.568925 00 43 51.471 -31 19 59.86 21.8G 24PL17 F51 C~8Hfg 2024 09 08.468747 00 43 23.470 -31 22 58.20 21.7G 24PL17 T12 C~8Hfg 2024 09 08.469827 00 43 23.433 -31 22 58.46 21.9G 24PL17 T12 C~8Hfg
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 0.04 0.00 0.15
2 0.0000 -4.16 0.12 0.10 -0.35
3 0.0001 -8.76 -0.24 1.14 0.07
4 0.0001 -12.68 0.08 1.80 0.13
5 0.8626 -13260.37 -0.06 11694.27 -0.02
6 0.8627 -13263.94 0.00 11693.44 -0.04
7 0.8627 -13267.47 0.10 11692.83 0.15
8 0.8627 -13271.24 -0.04 11691.79 -0.09
9 0.9092 -20133.68 -0.02 10608.97 -0.05
10 0.9255 -22777.59 -0.05 10413.12 -0.10
11 0.9256 -22782.94 -0.15 10413.08 0.12
12 0.9256 -22788.13 -0.07 10412.84 0.13
13 0.9258 -22817.36 0.27 10411.35 0.01
14 0.9258 -22817.88 0.05 10411.35 0.03
15 0.9282 -23223.31 0.01 10391.14 -0.05
16 0.9282 -23223.85 -0.04 10391.09 -0.08
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.