Solving Elliptical Orbit Homework: Comet's Semi-Major Axis & Sun Distance

AI Thread Summary
To solve for the semi-major axis of a comet's orbit with a 100-year period and a closest approach of 0.37 AU, Kepler's Third Law can be applied, which relates the orbital period and semi-major axis. The equation (T1/T2)^2 = (s1/s2)^3 can be used, where T is the period and s is the semi-major axis. By substituting known values, the semi-major axis can be calculated. The maximum distance from the sun can also be determined using the semi-major axis and the closest approach. Understanding Kepler's laws is essential for solving this type of orbital mechanics problem.
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Homework Statement


The period of a comet orbit is 100 years. As its closests approach is 0.37 AU from the sun. What is the semi-major axis of the comet's orbit? How far does it get from the sun?


Homework Equations



(T1/T2)^2 = (s1/s2)^3

The Attempt at a Solution


I don't even know where to begin with this problem any help would be really appreciated.
 
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Hi myoplex,

myoplex11 said:

Homework Statement


The period of a comet orbit is 100 years. As its closests approach is 0.37 AU from the sun. What is the semi-major axis of the comet's orbit? How far does it get from the sun?


Homework Equations



(T1/T2)^2 = (s1/s2)^3

The Attempt at a Solution


I don't even know where to begin with this problem any help would be really appreciated.

What does Kepler's laws have to say about periods and semi-major axis?
 

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