Chapter 17, Measuring a Body's Mass Using Orbital Motion Video Solutions, Pathways to Astronomy

Problem 1

Given that Jupiter is about five times farther from the Sun than the Earth, calculate its orbital velocity. How many years does it take Jupiter to complete an orbit around the Sun?

Shoukat Ali

Other Schools

01:14

Problem 2

Derive the mass of the Earth from the Moon's orbital period of 27.3 days and orbital distance of $3.84 \times 10^{8} \mathrm{m}$

Prabhu Ramji

Numerade Educator

07:04

Suppose that we wanted to create a version of Kepler's third law for objects orbiting the Earth instead of the Sun. If we measure the distance to satellites in terms of the distance from the Earth to the Moon (lunar units, perhaps, or LU), then what should our units of time be to make the relationship the simple

Linda Winkler

Numerade Educator

06:36

Problem 4

A pair of identical stars is separated by $25.0 \mathrm{AU}$, and the stars orbit each other with a period of 62.0 years. What are the masses of the stars?

Matthew Miranda

Numerade Educator

02:44

Problem 5

The Sun orbits the center of the Milky Way Galaxy at about $220 \mathrm{km} / \mathrm{sec}$ at a distance from the center of ahout $26 \times 10^{20}$ meters (about 28,000 light-years). What is the mass of the Milky Way inside the Sun's orbit? (Note: In this problem, we assume that the Galaxy can be treated as a sphere of matter. Strictly speaking, this is not precisely correct, but the more elaborate math needed to calculate the problem properly ends up giving almost the same answer.)

Sriram Soundarrajan

Numerade Educator

01:43

Problem 6

Jupiter's orbital period is 11.8622 years and its semimajor axis is $5.203 \mathrm{AU}$. Show that this implies a mass for Jupiter of approximately $1 / 1000^{\text {th }}$ the Sun's mass, If Jupiter had a completely negligible mass, but orbited at the same distance from the Sun, what would its orbital period be?

A B

Numerade Educator

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