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SOHO: The Solar and Heliospheric Observatory gallery archive summary latest
VSOP87 planetary theory. This theory was developed back in the mid and late 1980's by astronomers (Bretagnon, Chapront, Chapront-Touze, Laskar, Simon, Morando to name a few) at the Bureau des Longitudes in Paris, France. The object of their research was to develop a set of closed-form analytical formulas, similar to those previously developed by astronomers such as Simon Newcomb, that accurately describes the motions of the Sun, Moon, and planets. Their model included standard Newtonian gravitational interactions, which are very well understood both physically and mathematically, and relativistic effects that the older mathematical theories neglected because these effects were, at the time, unobservable. The actual numbers you see in Meeus' book are derived from the process of making the mathematical model match values (coordinates) given by brute force numerical integration of the rigorous relativistic equations of motion. These numerical integrations are carried out most notably at the Jet Propulsion Laboratory (JPL) in California and they are the most accurate way of modeling planetary motions. However, the integrations are not in the most directly useful form for amateur astronomers to use whereas a cut-and-dried formula in which you plug in the time and out pops the answer IS more directly useful.
Because the VSOP87 theory (and the similar ELP2000 lunar theory which describes the Moon's motion) is calibrated to the JPL ephemerides, the VSOP87 is no more accurate than the JPL ephemerides are and really only suffices for optical observations. Nevertheless, the VSOP87 theory and its more recent cousins serve a useful purpose for programmers.
Book, PRACTICAL EPHEMERIS COMPUTATIONS, Joe Heafner, describes (among other things) the JPL ephemerides and provides software in both PowerBasic and ANSI C for using the JPL ephemeris data files. Both my book and a CD-ROM with the JPL data are available from the publisher, Willmann-Bell, Inc..
sterrenwacht and Java daily astronomical event calculator "Astronomical Algorithms" by Jean Meeus.
Vernal equator & poles in line withe earth's equator & poles. Polaris, ... Definitions of Right Ascention (point on vernal equator where rises?) and declination
Jupiter orbit: 778,330,000 km (5.20 AU) from Sun diameter: 142,984 km (equatorial) mass: 1.900e27 kg
main satellites: (Galilean satellites 1610) 1:2:4:8 orbit lock (almost - excepting Callisto) . . . o . C G Io E Distance Radius Mass Satellite (000 km) (km) (kg) --------- -------- ------ ------- Io 422 1815 8.94e22 Europa 671 1569 4.80e22 Ganymede 1070 2631 1.48e23 Callisto 1883 2400 1.08e23(jan 5 2000 16:20ish)
Saturn orbit: 1,429,400,000 km (9.54 AU) from Sun diameter: 120,536 km (equatorial) mass: 5.68e26 kg
Ursa Major
+ + 1 2 + . + 3 4 5 + + 6 7
Name, class, distance (light years), RA, Declination, Magnitude