Solving a Meteorite Problem: What Equations Should I Use?

[Yoppakung]

Homework Statement

A planet orbits around a star in an ellipse. eccentricity is equal to e, while at the farthest point from the star a meteorite crashes into it, the new velocity of the planet is the same size. But as a result of a meteorite impact, the direction of velocity shifts to an angle θ. which is between 0 degrees and 90 degrees if the eccentricity of the planet's new orbit is e'. Find
a. e' in term of e and θ
b. what angle will the major axis be rotated?(term of e , θ )

Relevant Equations

-

I don't know what principle or equation should I start thinking. The one I tried was using the law of conservation, but I found that I didn't know the speed of the meteorite. Anyone have any advice on what principles or equations I should use to get started?

 

[Orodruin]

Homework Statement:: A planet orbits around a star in an ellipse. eccentricity is equal to e, while at the farthest point from the star a meteorite crashes into it, the new velocity of the planet is the same size. But as a result of a meteorite impact, the direction of velocity shifts to an angle θ. which is between 0 degrees and 90 degrees if the eccentricity of the planet's new orbit is e'. Find
a. e' in term of e and θ
b. what angle will the major axis be rotated?(term of e , θ )
Relevant Equations:: -

I don't know what principle or equation should I start thinking. The one I tried was using the law of conservation, but I found that I didn't know the speed of the meteorite. Anyone have any advice on what principles or equations I should use to get started?

Please show us what you did.

 

[Yoppakung]

Please show us what you did.

Please show us what you did.

As for the conservative equation, I can't find any relation to it as to which point is the starting point or which is the last point and now I'm trying to do is try to vector and solve the equation but it seems like I'm on the wrong track as well. Please suggest what principle I should start with and I will try to figure it out myself.

 

[Orodruin]

PF rules require you to show your effort, not just vaguely describe it.

 

[Filip Larsen]

You may want to search your textbook for some basic relationships relevant for an elliptic orbit.