Chapter 3- QP

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University of Michigan *

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101

Subject

Astronomy

Date

Apr 3, 2024

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pdf

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1

Uploaded by BarristerFlag8963

9th Edition: 51) Mars Orbit. Find the perihelion and aphelion distances of Mars. Perihelion distance: a(1-e) → 227.9 (1-0.093) =206.705AU Aphelion distance: a(1+e) → 227.9 (1+0.093) =249.095AU 52) Eris Orbit. The dwarf planet Eris orbits the Sun every 557 years. What is its average distance (semimajor axis) from the Sun? How does its average distance compare to that of Pluto? p^2=a^3 a^3= (557)^2 a= 67.69AU aEarth/aPluto 67.69/39.48 = 1.715 53) New Planet Orbit. A newly discovered planet orbits a distant star with the same mass as the Sun at an average distance of 112 million kilometers. Its orbital eccentricity is 0.3. Find the planet’s orbital period and its nearest and farthest orbital distances from its star. 112 million km= 0.749 AU p^2=a^3 p^2= (0.749)^3 p=0.648 —> orbital period a(1-e) 0.749(0.5) = 0.375AU= 56,099,202km a(1+e) 0.749(1.5) = 1.124 AU = 1.68148 *10^8km 54) Halley Orbit. Halley’s Comet orbits the Sun every 76.0 years and has an orbital eccentricity of 0.97. a. Find its average distance from the Sun (semimajor axis) p^2=a^3 76^2=a^3 a=17.9AU b. Find its perihelion and aphelion distances Perihelion: a(1-e) 17.9(1-0.97)= 0.537AU Aphelion: a(1+e) 17.9(1+0.97) = 35.263AU
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