21st Century Astronomy
6th Edition
ISBN: 9780393428063
Author: Kay
Publisher: NORTON
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Chapter 3, Problem 36QP
To determine
Prove that the planet with period of 3 years and distance from 2 AU is not possible.
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Chapter 3 Solutions
21st Century Astronomy
Ch. 3.1 - Prob. 3.1ACYUCh. 3.1 - Prob. 3.1BCYUCh. 3.2 - Prob. 3.2CYUCh. 3.3 - Prob. 3.3CYUCh. 3.4 - Prob. 3.4CYUCh. 3 - Prob. 1QPCh. 3 - Prob. 2QPCh. 3 - Prob. 3QPCh. 3 - Prob. 4QPCh. 3 - Prob. 5QP
Ch. 3 - Prob. 6QPCh. 3 - Prob. 7QPCh. 3 - Prob. 8QPCh. 3 - Prob. 9QPCh. 3 - Prob. 10QPCh. 3 - Prob. 11QPCh. 3 - Prob. 12QPCh. 3 - Prob. 13QPCh. 3 - Prob. 14QPCh. 3 - Prob. 15QPCh. 3 - Prob. 16QPCh. 3 - Prob. 17QPCh. 3 - Prob. 18QPCh. 3 - Prob. 19QPCh. 3 - Prob. 20QPCh. 3 - Prob. 21QPCh. 3 - Prob. 22QPCh. 3 - Prob. 23QPCh. 3 - Prob. 24QPCh. 3 - Prob. 25QPCh. 3 - Prob. 26QPCh. 3 - Prob. 27QPCh. 3 - Prob. 28QPCh. 3 - Prob. 29QPCh. 3 - Prob. 30QPCh. 3 - Prob. 31QPCh. 3 - Prob. 32QPCh. 3 - Prob. 33QPCh. 3 - Prob. 34QPCh. 3 - Prob. 35QPCh. 3 - Prob. 36QPCh. 3 - Prob. 37QPCh. 3 - Prob. 38QPCh. 3 - Prob. 39QPCh. 3 - Prob. 40QPCh. 3 - Prob. 41QPCh. 3 - Prob. 42QPCh. 3 - Prob. 43QPCh. 3 - Prob. 44QPCh. 3 - Prob. 45QP
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- Which of Keplers laws gives the most direct indication of the shape of the orbit of a planet? (16.1) (a) law of elliptical orbits (b) law of equal areas (c) harmonic lawarrow_forwardWhy did Kepler need Tycho Brahe’s data to formulate his laws?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_forwardWhich major planet has the largest . . . A. semimajor axis? B. average orbital speed around the Sun? C. orbital period around the Sun? D. eccentricity?arrow_forwardNewton’s version of Kepler’s third law is P2 = 4 π2 / [G (M1 + M2)] · a3, where G is the gravitational constant, which is equal to 6.67*10-11 m3 kg-1 s-2. NASA's New Horizons mission found that Pluto's moon Charon orbits Pluto every 5.3 days at an average distance of 20400.0 km. What is the combined mass (in kg) of Pluto and Charon?arrow_forward
- If G = 6.674 ⨉ 10 −11m3/kg/s2, the orbital period of Saturn’s moon Titan is 15.95 days, and the orbital distance of Titan is 1.222 ⨉ 10 9 m, then, from Kepler’s third law in #4, what is the mass of Saturn?arrow_forwardShow mathematically how Kepler’s third law can be derived from Newton’s law of universal gravitation. Hint: use the centripetal force (force directed towards the center) which is equal to the gravitational force in orbital motion.arrow_forwardBecause of its changing proximity to the Sun, which property does Kepler's Second Law of Planetary Motion predict will change during a planet's orbit? • Orbital speed • Orbital period • Orbital minor axis • Orbital eccentricityarrow_forward
- It has been hypothesized that there may be another planet in the Solar System nicknamed Planet X which may orbit about 600 Astronomical Units from the Sun. - If Planet X exists, how long would it take to orbit the Sun once?arrow_forwardWhat is Keplers second law in your own wordsarrow_forwardUse Kepler's Third Law to determine how many days it takes a spacecraft to travel in an elliptical orbit from a point 6670km from the Earth's center to the Moon, 385000km from the Earth's center.arrow_forward
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