Semi major axis - planetary Science

In summary, to compute the semi-major axis of a comet's orbit with a perihelion distance of 1.242 and a distance of 4.499 AU from the Sun, you will need to use other formulas and determine the type of conic section the orbit has. Kepler's third law may not be the most suitable approach for this problem.
  • #1
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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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  • #2
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.
 

What is the semi major axis?

The semi major axis is a measurement used in planetary science to describe the size and shape of an orbit. It is the longest distance between the center of an ellipse and one of its two foci.

How is the semi major axis calculated?

The semi major axis can be calculated by taking the average of the periapsis (closest point to the focus) and apoapsis (farthest point from the focus) distances of an orbit. It can also be calculated using Kepler's third law, which relates the semi major axis to the orbital period and the masses of the two bodies.

What does the semi major axis tell us about a planet's orbit?

The semi major axis provides information about the size and shape of a planet's orbit. It helps determine the distance of a planet from its star, the eccentricity of its orbit, and the orbital period.

How does the semi major axis affect a planet's climate?

The semi major axis plays a crucial role in determining a planet's climate. A smaller semi major axis results in a shorter orbital period and closer proximity to the star, leading to higher temperatures and potentially more extreme weather. A larger semi major axis leads to a longer orbital period and colder temperatures.

Can the semi major axis change over time?

Yes, the semi major axis of a planet's orbit can change over time due to gravitational interactions with other objects or forces such as tides. This can result in changes in the planet's orbital period and potentially alter its climate. However, the semi major axis of a planet's orbit is generally considered to be stable over long periods of time.

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