The discussion centers on calculating the semi-major axis of a comet's orbit given its orbital period of 100 years and a perihelion distance of 0.37 AU from the Sun. Utilizing Kepler's Third Law, represented by the equation (T1/T2)^2 = (s1/s2)^3, participants explore how to derive the semi-major axis and the maximum distance from the Sun. The problem emphasizes the relationship between orbital period and distance in elliptical orbits, specifically for comets.
PREREQUISITESAstronomy students, educators, and anyone interested in celestial mechanics and the dynamics of cometary orbits.
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.