By James A. Van Allen
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Extra resources for 924 elementary problems and answers in solar system astronomy
B) the full Moon set? 298. At about what time is the full Moon on the observer's meridian? 299. On the night of 3-4 November 1971, the Moon, about one and a half days after full phase, passed through the Pleiades. The right ascension of the Sun was 14h 30m at that time. Hence, the right ascension of the Pleiades is about (a) 01h 15m; (b) 03h 45m; (c) 05h 45m; (d) 15h 45m. 300. The three-day old Moon (waxing crescent) is best observed (a) at about midnight; (b) soon after sunrise; (c) in the early evening after sunset; (d) in the early morning before sunrise.
The Earth-Moon distance is sixty times as great as the radius of the Earth. The Moon appears to an observer at the northern pole to be further South on the star field than it does to an observer at the southern pole. By about how many degrees? 91. 326. About how far from the Earth is the Moon? Page 45 327. 8 X 105 km and the radius of the Earth is 6,400 km. 9 X 107; (d) 59. 328. Compute the ratio of the gravitational force of the Sun on the Earth to that of the Moon on the Earth. The Sun is 330,000 times more massive than the Earth and the Moon is 81 times less massive.
127. As a comet or spacecraft flies by a planet, its planetocentric velocity vector is changed in direction but not in magnitude. Analyze the dynamics of such an encounter and show how a net change in heliocentric kinetic energy of the comet or spacecraft can occur despite the fact that the planet's gravitational field is a conservative one. This process is sometimes called "a gravitational assist". 128. Taking the orbits of the Earth and Jupiter to be circular with radii 1 and 5 AU, respectively, and in the same plane, calculate the flight time from the Earth to Jupiter along the minimum energy transfer ellipse.