Semi major axis - planetary Science

1 reply · 2K views · last reply
hhhp8cec1
Messages
7
Reaction score
2

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...
Handwritten notes on lined paper showing an orbit sketch with an ellipse and a point labelled sun, next to values d = 1.242, f = 211°, r = 4.499, with unknowns e, P and a, plus formulas P² = 4π²a³/GM and a = cube root of P²GM/4π².


Any help would be appreciated, thank you [/B]
 
Attachments
  • Handwritten notes on lined paper showing an orbit sketch with an ellipse and a point labelled sun, next to values d = 1.242, f = 211°, r = 4.499, with unknowns e, P and a, plus formulas P² = 4π²a³/GM and a = cube root of P²GM/4π².
    IMAG0230.jpg
    13.5 KB · Views: 482
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.