Statistics – Computation
Scientific paper
May 2000
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000dda....31.0501j&link_type=abstract
American Astronomical Society, DDA Meeting #31, #05.01; Bulletin of the American Astronomical Society, Vol. 32, p.861
Statistics
Computation
Scientific paper
The eight outer satellites of Jupiter may be divided into two groups of four. Those in the first group, Himalia, Elara, Lysithea, and Leda, are in high inclination direct orbits between 11 and 12 million km from Jupiter. Those in the second group, Pasiphae, Sinope, Carme, and Ananke, are in high inclination retrograde orbits between 20 and 24 million km from Jupiter. Rocher and Chapront (1996 A&A 311, 710) have published orbits for Himalia, Elara, Pasiphae, and Sinope fit to observations from their discoveries through 1993. Apparently, only Herget (1968 AJ, 73, 737) has published orbits for Lysithea, Carme, and Ananke. These were later extended by Aksnes (1973 AJ, 78, 121) who also determined an orbit for Leda (1978 AJ, 83, 1249). To support the Galileo Project, I fit numerical integrations of all eight satellites to observations from their discoveries through 1994. I have extended the fit to include observations through January 2000. Among the additional observations are highly accurate CCD measurements obtained at both the US Naval Observatory, Flagstaff Station (Stone & Harris, to appear in AJ), and JPL's Table Mountain Observatory (Owen, private communication). The table below gives the number of observations of each satellite and the root-mean-square (rms) of the post-fit residuals.
Observation Residual Statistics - rms Timespan Satellite Δ α \cosδ No. Δ δ
1894-2000 Himalia 736 1\farcs18 737 0\farcs92
1905-2000 Elara 345 0\farcs95 345 0\farcs82
1908-2000 Pasiphae 472 1\farcs13 472 0\farcs89
1914-1998 Sinope 210 1\farcs19 210 0\farcs98
1938-1998 Lysithea 124 0\farcs75 124 0\farcs72
1938-1998 Carme 145 1\farcs01 145 0\farcs81
1951-1998 Ananke 134 0\farcs88 134 0\farcs88
1974-1998 Leda 67 0\farcs87 67 0\farcs70
The current integration includes perturbations due to the Sun, Saturn, the Galilean satellites, and the oblateness (J2 only) of Jupiter. The masses of Jupiter and the perturbing satellites and the Jupiter J2 are from the Galileo data analysis. Ephemerides for the satellites are available electronically from the JPL Horizons on-line solar system data and ephemeris computation service.
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