Calcuate Orbital Speed (without using distance)

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SUMMARY

The discussion focuses on calculating the orbital speed of a planet without using the distance of its path, specifically the semi-major axis (a). It highlights that one can utilize the orbital period (T) and eccentricity (e) to derive the average orbital speed, particularly when e is close to zero, indicating a near-circular orbit. Participants suggest consulting textbooks for relevant equations and recommend resources like Wikipedia for further understanding of orbital speed concepts.

PREREQUISITES
  • Understanding of orbital mechanics, specifically Kepler's laws.
  • Familiarity with orbital parameters such as orbital period (T) and eccentricity (e).
  • Basic knowledge of mathematical equations relating to circular motion.
  • Access to physics textbooks that cover celestial mechanics.
NEXT STEPS
  • Research Kepler's laws of planetary motion for foundational knowledge.
  • Learn how to derive orbital speed from the orbital period using relevant equations.
  • Explore the concept of eccentricity and its impact on orbital dynamics.
  • Consult resources on celestial mechanics for advanced understanding of orbital parameters.
USEFUL FOR

Astronomy students, astrophysicists, and anyone interested in understanding the dynamics of planetary motion and orbital calculations.

ldv1452
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How would I go about calculating the orbital speed of a planet without using the distance of its path. In other words, only using the motion around the plane of ecliptic?

My first thought was using the angle of the path somehow, but I'm a bit stumped here.

Thanks for any input!
 
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Assuming "distance of its path" is referring to the semi-major axis of the orbit, a, you can replace a with knowledge of other orbital parameters such as orbital period T and eccentricity e. Assuming further that e is close to zero (orbit is near circular) you can find average orbital speed as a function T alone. To do this you probably need to look for some equations in your textbooks that relate these parameters to each other and combine them, or you could read some of the references that come up when you search for "orbital speed" ... *cough* wikipedia *cough*
 
Thanks for taking the time to reply. I think I need a better understanding of some of these fundamental concepts before I can solve this.
 

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