(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Consider a comet which passes through its aphelion at a distance r_{max}from the sun. Imagine that, keeping r_{max}fixed, we somehow make the angular momentum l smaller and smaller though not actually zero; that is we let l[tex]\rightarrow[/tex]0. Use equations c=l^{2}/[tex]\gamma\ mu[/tex] and r_{max}=c/1-[tex]\epsilon[/tex], r_{min=1+[tex]\epsilon[/tex]}to show that in this limit the eccentricity, [tex]\epsilon[/tex] of the elliptical orbit approaches 1 and the distance of closest approach r_{min}approaches zero.

2. Relevant equations

the equations posted above look funny, but for c it should be c=l^{2}/gamma*mu

rmax=c/1-epsilon and rmin= c/1+epsilon.

3. The attempt at a solution

Well, I know that I am going to need to take limits. what i tried was to substitute in the c for the r_{max}equation, but then i really didn't know where to go from there. any help would be great.

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# Homework Help: A comet problem

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