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Babynini
 one year ago
Halp!
Babynini
 one year ago
Halp!

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Babynini
 one year ago
Best ResponseYou've already chosen the best response.1Many comets have elliptical orbits with the sun at focus. in many cases the eccentricity is cose to 1 and the ellipse is very flat. halley's comet has an elliptical orbit with eccentricity e=0.967. The closest that halley's comet comes to the sun is 0.587 AU. Approximate the max distance of the comet from the sun in AU, accurate to three decimal places. Note that one astronomical unit = 1AU = (approximately) 93,000,000miles

Babynini
 one year ago
Best ResponseYou've already chosen the best response.1I'm not sure where to even start...

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0Mmmm no :x I don't remember eccentricity, sec i try to read

Babynini
 one year ago
Best ResponseYou've already chosen the best response.1yep yep. I'm not sure how to apply formulas here hah

Babynini
 one year ago
Best ResponseYou've already chosen the best response.1I really don't know o.0 i've been trying to manipulate it but it's not working much.

rational
 one year ago
Best ResponseYou've already chosen the best response.2dw:1433488489699:dw

rational
 one year ago
Best ResponseYou've already chosen the best response.2From the diagram, clearly \[\large ac = 0.587\tag{1}\] From the eccentricity formula \[\large \frac{c}{a}=0.967\tag{2}\] two equations and two unknowns, we can solve them

Babynini
 one year ago
Best ResponseYou've already chosen the best response.1wait, where's the 0.587 related to?

rational
 one year ago
Best ResponseYou've already chosen the best response.2it is shortest distance from the focus(sun) to the ellipse(path of halley comet)

Babynini
 one year ago
Best ResponseYou've already chosen the best response.1so now what do we do? c=0.967(a)

Babynini
 one year ago
Best ResponseYou've already chosen the best response.1and plug that into the previous statment? ac=0.587 a(0.967)* (a)=0.587

Babynini
 one year ago
Best ResponseYou've already chosen the best response.1(sorry those last two were meant to be on the same line)

rational
 one year ago
Best ResponseYou've already chosen the best response.2look at diagram, what is the maximum distance from sun to ellipse ?

rational
 one year ago
Best ResponseYou've already chosen the best response.2dw:1433489528413:dw

Babynini
 one year ago
Best ResponseYou've already chosen the best response.1yay! so 34.989 is the final answer? :)

Babynini
 one year ago
Best ResponseYou've already chosen the best response.1Well, it asks for it in AU which is 93,000,000 so multiply the answer by that?

rational
 one year ago
Best ResponseYou've already chosen the best response.2nope, our calculation is already in AU 34.989 AU is the final answer

Babynini
 one year ago
Best ResponseYou've already chosen the best response.1Hey, really quick. Can you help me know how we solved for a? xD I just put it into my calc but idk if the prof wants me to show work on that part. Better safe than sorry.

Babynini
 one year ago
Best ResponseYou've already chosen the best response.1a(0.967)(a)=0.587 aa= 0.587/0.967

rational
 one year ago
Best ResponseYou've already chosen the best response.2dw:1433489979509:dw

rational
 one year ago
Best ResponseYou've already chosen the best response.2from the (2)nd equation we have \(c = 0.967a\) plug this in (1)st equation and get \(a0.967a=0.587\) factor out \(a\) on right hand side \(a(10.967)=0.587\) isolate \(a\) \(a=\dfrac{0.587}{10.967}\)

rational
 one year ago
Best ResponseYou've already chosen the best response.2use ur calculator to do that division

Babynini
 one year ago
Best ResponseYou've already chosen the best response.1thanks, it makes more sense now :)

Babynini
 one year ago
Best ResponseYou've already chosen the best response.1hey I have one very last problem that i've been stuck on. Could you check it out?

Babynini
 one year ago
Best ResponseYou've already chosen the best response.1thanks. I'm going to put it on a new feed.
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