Calculate Earth's Orbital Period Around the Sun | Gravitational Problem

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Homework Help Overview

The discussion centers around calculating Earth's orbital period around the Sun, framed within gravitational principles. Participants are exploring the relationship between mass, distance, and orbital mechanics.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are examining the use of gravitational force and centripetal force to derive the orbital period. There are attempts to relate angular velocity to the period, with some questioning the appropriateness of using radians versus seconds.

Discussion Status

The discussion is active, with participants providing insights and clarifications regarding the relationships between the variables involved. There is an ongoing exploration of the correct units and formulas to use in the context of the problem.

Contextual Notes

Participants note the requirement for the answer to be in seconds, which influences the approach to the problem. There is also an assumption of a circular orbit being made in the discussion.

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Homework Statement



Whats the Earth's orbital period around the sun if mE=5.98x10^24kg , mS =2x10^30kg,
r = 1.5x10^11


Homework Equations


T^2= kr^3


The Attempt at a Solution



i can figure out the period easily w/ 2 radii + 1 period
 
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Assuming that the orbit is circular, use grav force on Earth due to sun is equal to the centrpetal force. Also, T=2pi/omega.
 
cant use omega ,,answer has to be in sec not rads :(
 
That's why I'd given the relation between T and omega.
 

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