Question
In: Physics
Two newly discovered planets follow circular orbits around a star in a distant part of the...
Two newly discovered planets follow circular orbits around a
star in a distant part of the galaxy. The orbital speeds of the
planets are determined to be 44.3 km/s and 59.8 km/s. The slower
planet's orbital period is 6.92 years. (a) What is
the mass of the star? (b) What is the orbital
period of the faster planet, in years?
Solutions
Expert Solution
(a) Mass of the star
Consider the slower planet and the star
Given the time period and orbital speed
Orbital Speed = Circumference of the orbit/Time period
---------
----------
------------
Given that the planet follows a circular orbit around the star.
So the gravitational force experienced by the slower planet is equal to the centripetal force.
ANSWER : 
===============================
(b) What is the orbital period of the faster planet, in years?
Consider the faster planet and the star
Given that the planet follows a circular orbit around the star.
So the gravitational force experienced by the faster planet is equal to the centripetal force.
==========
Orbital Speed = Circumference of the orbit/Time period
ANSWER : 
===========================
genius_generous answered 2 years agoRelated Solutions
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