A question about a moving satellite (Kepler)

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    Kepler Satellite
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Homework Help Overview

The discussion revolves around a satellite's motion in an elliptical path, with specific initial conditions provided regarding its position and velocity. The problem involves determining the satellite's coordinates in the y-z plane when its x-coordinate is zero.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants explore the initial conditions of the satellite's motion and question how to find its position in the y-z plane at a specific point in its trajectory. There is a discussion about the equation of the ellipse and its relation to the satellite's motion.

Discussion Status

Participants are actively engaging with the problem, with some clarifying the initial conditions and others seeking to derive the equation of the ellipse to further analyze the satellite's trajectory. There is no explicit consensus yet, as different interpretations of the problem are being explored.

Contextual Notes

Participants are working under the constraints of the problem as stated, with specific initial conditions and the requirement to find coordinates at a particular moment in the satellite's motion.

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Homework Statement


Hi

I have a question about a satellite moving in an elliptic motion. It begins its motion on the x axis, when x=2Re, and with a velocity: Vx=0, Vy=v0, Vz=-0.5V0.

Re is radius of the earth.

Solving this I arrived at:
r0 = 10Re/4.
e=1/4.
Rmin = 2Re.
Rmax = 10Re/3.

Given all that, How do I find the z and y coordinates of the satellite, when x=0?

Homework Equations


The Attempt at a Solution

 
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sapz said:
Given all that, How do I find the z and y coordinates of the satellite, when x=0?
If you mean the initial conditions, you are given them: the object starts on the x axis, so y and z start off as zero.
 
No, I mean I want to find, during the elliptical motion, where the satellite will meet the plane ZY.
 
The origin is one focus, yes? Can you write down the equation of the ellipse?
 

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