The major axis for a particular planet is known. In order to determine the perihelion and the aphelion, what other information about the planet is needed?
the mass of the planet |
the orbital period |
the eccentricity of the orbit |
Galileo Galilei was the first scientist to perform experiments in order to test his ideas. He was also the first astronomer to systematically observe the skies with a telescope. Galileo made four key observations that challenged the widely accepted philosophical beliefs on which the geocentric model was based, thus providing support for the heliocentric model. From the following list of observations, which are the key observations made by Galileo that challenged widespread philosophical beliefs about the solar system?
The Moon has a smooth, featureless surface. |
Neptune has orbiting moons. |
Jupiter has orbiting moons. |
The Sun has sunspots and rotates on its axis. |
Venus is only seen in a crescent phase. |
Venus goes through a full set of phases. |
Uranus has a ring system. |
The Moon has mountains, valleys, and craters. |
Johannes Kepler used decades of Tycho Brahe's observational data to formulate an accurate description of planetary motion. Kepler spent almost 30 years of his life trying to develop a simple description of planetary motion based on a heliocentric model that fit Tycho's data. What conclusion did Kepler eventually come to that revolutionized the heliocentric model of the solar system?
Kepler confirmed that Venus orbits the Sun. |
Kepler explained retrograde motion. |
Kepler determined that the planetary orbits are elliptical. |
Kepler confirmed that the planetary orbits are circular. |
Astronomers have made many observations since the days of Galileo and Kepler to confirm that the Sun really is at the center of the solar system, and that the planets revolve around the Sun in elliptical orbits. Which observation(s) could you make today that Galileo and Kepler could not have made to confirm that the heliocentric model is correct?
Transit of an extrasolar planet |
Doppler shifts in stellar spectra of nearby stars |
Stellar parallax in nearby stars |
Orbital periods of Jupiter's moons |
In Ptolemy’s Earth-centered model for the solar system, Venus’s phase is never full as viewed from Earth because it always lies between Earth and the Sun. In reality, as Galileo first recognized, Venus is
full whenever it lies directly between Earth and the Sun |
never full because Earth’s shadow falls on Venus at the time when it would otherwise be full |
never full because the sunlit side of Venus never faces directly toward Earth |
full whenever it is on the opposite side of the Sun from Earth, although we cannot see the full Venus because it is close to the Sun in the sky |
Imagine that Venus is in its full phase today. If we could see it, at what time would the full Venus be highest in the sky?
just before dawn |
at noon |
midnight |
just after sunset |
When would a new Venus be highest in the sky?
just before dawn |
at noon |
midnight |
just after sunset |
When would you expect to see Venus high in the sky at midnight?
in its waxing crescent phase |
in its full phase |
in its waxing gibbous phase |
in its waning crescent phase |
never |
In Ptolemy’s Earth-centered model for the solar system, Venus always stays close to the Sun in the sky and, because it always stays between Earth and the Sun, its phases range only between new and crescent. The following statements are all true and were all observed by Galileo. Which one provides evidence that Venus orbits the Sun and not Earth?
We sometimes see a crescent Venus. |
We sometimes see gibbous (nearly but not quite full) Venus. |
We never see Venus at midnight. |
We need a telescope to observe the phases of Venus. |
A vocabulary in context exercise in which students match words to definitions describing elliptical planetary orbits, applying ideas from Kepler's Laws of Planetary Motion.
Earth is located at one focus of the Moon's orbit.
According to Kepler's second law, Jupiter will be traveling most slowly around the Sun when at aphelion.
Earth orbits in the shape of a/an ellipse around the Sun.
The mathematical form of Kepler's third law measures the period in years and the semimajor axis in astronomical units (AU)
According to Kepler's second law, Pluto will be traveling fastest around the Sun when at perihelion.
The extent to which Mars' orbit differs from a perfect circle is called its eccentricity.
Suppose you are in an elevator. As the elevator starts upward, its speed will increase. During this time when the elevator is moving upward with increasing speed, your weight will be __________.
greater than your normal weight at rest |
equal to your normal weight at rest |
less than your normal weight at rest |
Suppose you are in an elevator that is moving upward. As the elevator nears the floor at which you will get off, its speed slows down. During this time when the elevator is moving upward with decreasing speed, your weight will be __________.
greater than your normal weight at rest |
equal to your normal weight at rest |
less than your normal weight at rest |
As you found in Part A, your weight will be greater than normal when the elevator is moving upward with increasing speed. For what other motion would your weight also be greater than your normal weight?
The elevator moves upward with constant velocity. |
The elevator moves downward with constant velocity. |
The elevator moves upward while slowing in speed. |
The elevator moves downward while slowing in speed. |
The elevator moves downward while increasing in speed. |
If you are standing on a scale in an elevator, what exactly does the scale measure?
your mass |
the force you exert on the scale |
the gravitational force exerted on you by Earth |
Planets near opposition
rise in the east. |
do not rise or set. |
rise in the west. |
have larger deferents. |
A major flaw in Copernicus's model was that it still had
retrograde loops. |
Earth at the center. |
circular orbits. |
the Sun at the center. |
What is a scientific theory?
A theory is a process for the best possible explanation for something. |
A theory is a framework of ideas and assumptions that represents our best possible explanation for something. |
A theory is a framework of ideas and assumptions that represents our initial explanation for something. |
A theory is a process for the initial explanation for something. |
Can a theory ever be proved to be absolutely true?
Theory can never be proven to be absolutely true. |
Theory can be proven to be absolutely true. |
An accurate sketch of Jupiter's orbit around the Sun would show
the Sun far off center. |
phases. |
an oval twice as long as it is wide. |
a nearly perfect circle. |
An asteroid with an orbit lying entirely inside Earth's
has an orbital semimajor axis of less than 1 AU. |
has a longer orbital period than Earth's. |
must have a highly eccentric orbit.. |
moves more slowly than Earth. |
If Earth's orbit around the Sun were twice as large as it is now, the orbit would take
less than twice as long. |
two times longer. |
more than two times longer to traverse. ![]() |