Semi major axis - planetary Science

AI Thread Summary
To compute the semi-major axis of a comet's orbit with a perihelion distance of 1.242 AU and a distance of 4.499 AU from the Sun, Kepler's third law can be applied, but the period must first be determined. The discussion emphasizes the need to explore additional formulas that incorporate the provided variables. Participants suggest using reasoning based on the data to identify the type of conic section representing the comet's orbit. Understanding the relationship between perihelion distance and the semi-major axis is crucial for solving the problem. The conversation highlights the importance of combining theoretical knowledge with practical problem-solving skills in planetary science.
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Homework Statement


A comet with a perihelion distance of d = 1.242 is currently 211(degrees) from pericenter, and 4.499 AU from the Sun. Compute the semi-major axis a of this comet’s orbit.

Homework Equations


P(^2) = a^3

The Attempt at a Solution


I tried to use Kepler's third law but I don't know how to find the period, P.
I think that is not the right way to approach this problem...
IMAG0230.jpg


Any help would be appreciated, thank you [/B]
 

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You'll need to search your notes and textbook for other formulas that include the given variables.

You should be able to use a bit of reasoning from the given data to determine what type of conic section the comet orbit must have.
 
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