Answer :
The orbital radius of the second satellite is 1.31r1.
What is the orbital radius ?
The average separation of a planet from the sun is known as orbital radius. Given that it has a significant impact on planetary temperature, this is one of the most crucial factors in evaluating a planet's ability to support life. The distance between a planet's center and surface is known as the planetary radius.
Time period of a satellite in circular orbit of radius 'r' is
[tex]T^2\alpha r^3[/tex]
T= time period
[tex]T1^2/T2^2=r1^3/r2^3\\T2=1.5T1=3/2T1[/tex]
[tex](T1/3/2T1)^2=(r1/r2)^3\\(2/3)^2=(r1/r2)^3\\- > 4/9=(r1/r2)^3\\r1=(4/9)^1/3r2\\r2=(9/4)^1/3r1\\r2=1.31r1[/tex]
A planet has two satellites in circular orbits of the second satellites is 1.31r1.
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