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Unformatted text preview: AST 3018
Key HOMEWORK #4 1. I wish to launch a spacecraft from the Earth to Venus and another to Mars. If the semi—
major axis of Venus’ orbit is 0.72 AU and that of Mars’ orbit is 1.52 AU how long will it
take the respective spacecraft to reach their destinations if they travel in "least energy”  ?
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w 53' Page £5 2. Ifthe Sun had eight times its present mass and the Earth’s orbit were twice its present size, what would then be its orbital period? 2, 3
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body of mass M, at a distance R from the nearest of the small bodies, such that the
gravitational attraction between the small bodies is just equal to the differential gravitational force a between them caused by their attraction to the large body. The
answer should be in terms of G, M and R. M F M ii? Wt. {:1 :2 6»» MM apeswzémaé
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approximate calculation, assume that the Earth is 80 times as massive as the Moon, that
the Sun is 300,000 times as massive as the Earth and that the Sun is 400 times as distant
as the Moon. méﬂgOﬂ/LM , {33
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light years distance and its period is 60 years what is the sum of the masses of the two stars in units of solar mass? 7 u;
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revolves about a considerable larger one, the interval from first to second contacts is
one hour and from first to third contacts is four hours. The entire period is three days.
The centers of the stars are separated by 11,460,000 km. What are the diameters of the st ? a ,
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vc, the circular satellite velocity. ﬂ 2% Ear: rm Escﬁfg @ﬁi’éa’t’ N“? wa m ‘
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This note was uploaded on 01/14/2012 for the course AST 3018 taught by Professor Lada during the Fall '08 term at University of Florida.
 Fall '08
 Lada

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