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Kepler's third law, the harmonic law, provides a relationship between a planet's orbital


A) period and the length of the semimajor axis.
B) eccentricity and the length of the semimajor axis.
C) period and orbital eccentricity.
D) period and mass.

E) C) and D)
F) A) and B)

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One au, or 1 astronomical unit, is defined as the


A) distance at which Earth-Sun distance will subtend an angle of 1 arcsecond.
B) mean distance between the Sun and Earth.
C) radius of the Sun.
D) distance traveled by light in 1 year.

E) None of the above
F) All of the above

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B

Venus experiences all of these EXCEPT


A) inferior conjunction.
B) superior conjunction.
C) opposition.
D) greatest elongation.

E) A) and D)
F) None of the above

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A major contribution of Johannes Kepler to the development of modern astronomy was


A) development of the first mathematical heliocentric model of the solar system.
B) the first model in which planetary orbits are ellipses.
C) use of parallax to prove that Earth moves around the Sun.
D) observation of the satellites (moons) of Jupiter.

E) A) and D)
F) A) and C)

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Kepler's first law states that a planet moves around the Sun in a(n)


A) circle, with the Sun at the center.
B) elliptical orbit, with the Sun at one focus.
C) elliptical orbit, with the Sun on the minor axis of the ellipse.
D) elliptical orbit, with the Sun at the center of the ellipse.

E) All of the above
F) A) and D)

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The Crab Nebula is the result of a supernova explosion of a star that occurred at a distance of about 1.84 kpc from Earth. If people first saw the explosion in A.D. 1054, when did the explosion actually occur?


A) about 1048 A.D.
B) 786 B.C.
C) 1054 A.D., of course
D) about 4946 B.C.

E) A) and B)
F) C) and D)

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Saturn experiences all of these EXCEPT


A) inferior conjunction.
B) superior conjunction.
C) opposition.
D) greatest elongation.

E) A) and D)
F) C) and D)

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Was Newton's DERIVED version of Kepler's third law the same as the version Kepler discovered by trial and error?


A) Yes.
B) No. Kepler included the effect of the planet's mass, whereas Newton did not.
C) No. Newton included the effect of the planet's mass, whereas Kepler did not.
D) No. Kepler's equation applied only to the inner planets, whereas Newton's applied to all the planets.

E) A) and B)
F) B) and C)

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In the heliocentric model of the solar system, which of these phases of Venus should NOT be visible from Earth?


A) full
B) gibbous
C) new
D) None of these are correct; they are all visible.

E) All of the above
F) A) and D)

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When Mars is at perihelion it must also be at


A) opposition.
B) greatest elongation.
C) superior conjunction.
D) None of these are correct.

E) B) and C)
F) A) and C)

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A planet's sidereal year is different from its synodic year because the


A) Earth moves.
B) planet's speed changes along its elliptical orbit.
C) planet rotates about its own axis in addition to its orbital motion.
D) the planet moves.

E) A) and B)
F) A) and C)

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A

Ptolemy's system of planetary motions, as described in the Almagest, was based on


A) magnetism.
B) gravitation.
C) electrical forces.
D) no underlying physical theory.

E) A) and B)
F) A) and C)

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The Copernican system for planetary motions is


A) Earth-centered, with the planets, the Sun, and the stars mounted on crystal spheres, pivoted to allow the correct motions around Earth.
B) Earth-centered, with the planets moving in epicycles around Earth.
C) Sun-centered, with the planets moving in elliptical orbits and the Sun at one focus of the ellipse.
D) Sun-centered, with the planets moving in perfect circles around the Sun.

E) B) and C)
F) A) and D)

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D

An astronomer finds an object at a distance of 5.6 pc from Earth. At this distance, what is the object MOST likely to be?


A) star in our Galaxy
B) asteroid in our solar system
C) artificial satellite orbiting Earth
D) distant galaxy

E) A) and D)
F) None of the above

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The person who developed the first comprehensive model for a heliocentric cosmology was


A) Kepler.
B) Ptolemy.
C) Aristotle.
D) Copernicus.

E) A) and B)
F) All of the above

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If a tenth planet (tentatively predicted to exist on the basis of perturbations in the orbits of Uranus and Neptune) were to be discovered with a sidereal period of 125 years, what would be the radius of its orbit (assumed to be circular) ?


A) 8.55 au
B) 125 au
C) 1 au
D) 25 au

E) All of the above
F) None of the above

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If one uses a force of 100 N to push a packing crate through a distance of 5 m, then the amount of work he has done on the crate is


A) 500 kg-m.
B) 20 W.
C) 20 J.
D) 500 J.

E) A) and B)
F) A) and C)

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An asteroidlike object (or a cometary nucleus) is seen to be orbiting the Sun in a circular path with a period of 120 years. What is its distance of closest approach to Earth (the separation distance when the object is at opposition) ? (Be careful with your answer; a diagram might be helpful.)


A) 1314.5 au
B) 24.33 au
C) 25.33 au
D) 23.33 au

E) A) and D)
F) B) and D)

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The greatest inaccuracy in Copernicus's theory of the solar system was


A) no allowance for retrograde motion.
B) placement of the planets on epicycles, the centers of which followed orbits around the Sun.
C) the assumption that the planets move in elliptical orbits with constant speeds rather than variable speeds.
D) placement of the planets in circular orbits.

E) All of the above
F) None of the above

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What did Galileo see when he observed Venus through his telescope?


A) phases like the Moon's
B) nothing because Venus is perpetually cloud-covered
C) four satellites (moons) orbiting Venus
D) a set of rings

E) B) and D)
F) A) and C)

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