Elliptical Orbit: Determine Foci & Missile Path

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SUMMARY

In the discussion on determining the foci of an elliptical orbit, it is established that knowing all parameters of the ellipse allows for the identification of the star's location at one of the two foci. The trajectory of a missile launched from Earth will first reach either the perihelion or aphelion based on its velocity at a specific point along the orbit. Understanding the velocity of the projectile is crucial in predicting its path through the elliptical orbit.

PREREQUISITES
  • Understanding of elliptical orbits and their parameters
  • Knowledge of perihelion and aphelion concepts
  • Familiarity with projectile motion and velocity calculations
  • Basic principles of celestial mechanics
NEXT STEPS
  • Research the mathematical equations governing elliptical orbits
  • Study the effects of velocity on orbital paths
  • Learn about the laws of planetary motion as described by Kepler
  • Explore simulation tools for visualizing projectile motion in orbits
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Aerospace engineers, astrophysicists, and students of celestial mechanics will benefit from this discussion, particularly those interested in orbital dynamics and missile trajectory analysis.

llandau
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Given an elliptical orbit, if I know all parameters of the ellipse, is it possible to determine in which of the two foci is the star? To be more precise, if I put into orbit a missile from earth, it will reach first the perihelion and then aphelion or vice versa? How can I know?
 
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If you know the velocity of the projectile somewhere along the orbit, then you shoudl be able to tell.
 
You are right, it is straightforward, I should have given it more thought. Thanks, anyway.
 

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