Astronomy
1st Edition
ISBN: 9781938168284
Author: Andrew Fraknoi; David Morrison; Sidney C. Wolff
Publisher: OpenStax
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Textbook Question
Chapter 3, Problem 9E
According to Kepler’s second law, where in a planet’s orbit would it be moving fastest? Where would it be moving slowest?
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Students have asked these similar questions
Kepler's 1st law says that our Solar System's planets orbit in ellipses around the Sun where the closest distance to the Sun is called perihelion.
Suppose I tell you that there is a planet with a perihelion distance of 2 AU and a semi-major axis of 1.5 AU.
Does this make physical sense? Explain why or why not.
Which of the following statements is supported by Kepler's laws of planetary motion?
Earth orbits the Sun at a constant speed, never speeding up or slowing down.
Earth's orbit is a perfect circle, with the Sun located at the center of the circle.
Earth orbits the Sun at a slightly faster speed every year.
Earth has an elliptical orbit, with the Sun located at one focus of the ellipse.
A planet revolves around a certain star. At one point in the planet's orbit, called periapsis, it passes much closer to the star. Which of the following statements about periapsis is true?
The planet's orbital period becomes shorter after every periapsis.
The planet's orbital period becomes longer after every periapsis.
The planet orbits with a slower speed during periapsis.
The planet orbits with a greater speed during periapsis.
Chapter 3 Solutions
Astronomy
Ch. 3 - State Kepler’s three laws in your own words.Ch. 3 - Why did Kepler need Tycho Brahe’s data to...Ch. 3 - Which has more mass: an armful of feathers or an...Ch. 3 - Explain how Kepler was able to find a relationship...Ch. 3 - Write out Newton’s three laws of motion in terms...Ch. 3 - Which major planet has the largest . . . A....Ch. 3 - Why do we say that Neptune was the first planet to...Ch. 3 - Why was Brahe reluctant to provide Kepler with all...Ch. 3 - According to Kepler’s second law, where in a...Ch. 3 - The gas pedal, the brakes, and the steering wheel...
Ch. 3 - Explain how a rocket can propel itself using...Ch. 3 - A certain material has a mass of 565 g while...Ch. 3 - To calculate the momentum of an object, which...Ch. 3 - To calculate the angular momentum of an object,...Ch. 3 - What was the great insight Newton had regarding...Ch. 3 - Which of these properties of an object best...Ch. 3 - Pluto’s orbit is more eccentric than any of the...Ch. 3 - Why is Tycho Brahe often called “the greatest...Ch. 3 - Is it possible to escape the force of gravity by...Ch. 3 - What is the momentum of an object whose velocity...Ch. 3 - Evil space aliens drop you and your fellow...Ch. 3 - A body moves in a perfectly circular path at...Ch. 3 - As friction with our atmosphere causes a satellite...Ch. 3 - Use a history book, an encyclopedia, or the...Ch. 3 - Two asteroids begin to gravitationally attract one...Ch. 3 - How does the mass of an astronaut change when she...Ch. 3 - If there is gravity where the International Space...Ch. 3 - Compare the density, weight, mass, and volume of a...Ch. 3 - If identical spacecraft were orbiting Mars and...Ch. 3 - By what factor would a person’s weight be...Ch. 3 - Suppose astronomers find an earthlike planet that...Ch. 3 - What is the semimajor axis of a circle of diameter...Ch. 3 - If 24 g of material fills a cube 2 cm on a side,...Ch. 3 - If 128 g of material is in the shape of a brick 2...Ch. 3 - If the major axis of an ellipse is 16 cm, what is...Ch. 3 - What is the average distance from the Sun (in...Ch. 3 - What is the average distance from the Sun (in...Ch. 3 - In 1996, astronomers discovered an icy object...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- Why did Kepler need Tycho Brahe’s data to formulate his laws?arrow_forwardExplain how Kepler was able to find a relationship (his third law) between the orbital periods and distances of the planets that did not depend on the masses of the planets or the Sun.arrow_forwardWhich of Keplers laws gives an indication of the semimajor axis? (16.1) (a) law of elliptical orbits (b) law of equal areas (c) harmonic lawarrow_forward
- Which of Keplers or Newtons laws best describes Aristotelean violent motions?arrow_forwardNewton’s law of gravitation and the formula for centripetal acceleration can be used to show that: T^2=(4π^2/Gms)R^3 where G is the universal constant of gravitation and MS is the mass of the Sun. Take logarithms to base 10 of both sides of the equation to complete the expression for 2 lg T.2 lg T = ……………… × lg R + ……………………arrow_forwardSuppose a planet sweeps out an area, call it A, in one day. In terms of A, Kepler's second law tells us it would sweep out how large an area in five days?arrow_forward
- Question 4: Use Kepler's 3rd law to find the orbital periods (assume circular orbits) for the inner planets given that their orbital radii are: Mercury: 5.8 x 107 km Venus: 1.08 x 108 kmarrow_forwardOne year on Planet AAA is 5 time the length of one earth year and it orbits its sun at an average distance 4.38 AU. Planet ZZZ orbits the same sun at an average distance of 2.53 AU. Determine the length of one year on Planet ZZZ in earth days.arrow_forwardThe dwarf planet Praamzius is estimated to have a diameter of about 300 km and orbits the sun at a distance of 6.8×10^12m. What is its orbital period in years? Express your answer in years to three significant figures.arrow_forward
- The Halley’s Comet regularly passes by the earth on its tour around the sun (at the time of Jesus’ birth itwas something different, most probably). The semi-major axis of the elliptical path is 17.8 AU(astronomical unit = 150·109 m). Halley’s last visit at our earth was in 1985. Are you going to experience the next visit?arrow_forwarda) What is the semimajor axis of the spacecraft’s elliptical orbit around the Sun (in AU)? Hint: The semimajor axis of Earth’s orbit is 1 AU and the semimajor axis of Mars’ orbitis 1.52 AU. Consider the diagram above and assume for simplicity that the orbits of Earth and Mars are circular. b) What would be the period of the spacecraft’s orbit around the Sun (in Earth years)? c) Assuming that the spacecraft’s launch is timed properly to arrive at Mars, what is the time required (in days) for the spacecraft to reach Mars from Earth?arrow_forwardUsing the m, = 1.99 x 1030 kg and the mę = 5.98 x 1024 kg and the distance between them as 1.00 AU (astronomical unit), what would be the orbital period of an object orbiting the sun at a distance of 2.12 AU? (please give answer in years) Number Unitsarrow_forward
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