Stars and Galaxies
Stars and Galaxies
9th Edition
ISBN: 9781305120785
Author: Michael A. Seeds, Dana Backman
Publisher: Cengage Learning
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Chapter 4, Problem 19RQ
To determine

Whether the semi major axis of mercury is greater, less or equal to distance from Sun to Mercury when Mercury is at aphelion.

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The average Earth-Moon distance is 3.84 X 10^5 km, while the Earth-Sun is 1.496 X 10^8 km. Since the radius of the Moon is 1.74 X 10^3 km and that of the Sun is 6.96 X 10^5 km. a) Calculate the angular radius of the Moon and the Sun, qmax, according to the following figure. D Bax R b) Calculate the solid angle of the Moon and the Sun as seen from Earth. (c) Interpret its results; Would this be enough to explain the occurrence of total solar eclipses?
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A planet's speed in orbit is given by     V = (30 km/s)[(2/r)-(1/a)]0.5   where V is the planet's velocity, r is the distance in AU's from the Sun at that instant, and a is the semimajor axis of its orbit.  Calculate the Earth's velocity in its orbit (assume it is circular):        What is the velocity of Mars at a distance of 1.41 AU from the Sun?       What is the spacecraft's velocity when it is 1 AU from the Sun (after launch from the Earth)?       What additional velocity does the launch burn have to give to the spacecraft? (i.e. What is the difference between the Earth's velocity and the velocity the spacecraft needs to have?)        How fast will the spacecraft be traveling when it reaches Mars?       Does the spacecraft need to gain or lose velocity to go into the same orbit as Mars?
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