Obit velocity vector variances, how it works?

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Discussion Overview

The discussion centers around the variances in velocity of the Moon and Earth during their orbits, exploring the underlying reasons for these changes and their implications. Participants reference concepts from classical mechanics and general relativity, as well as historical figures like Kepler and Einstein. The scope includes theoretical reasoning and conceptual clarification regarding orbital mechanics.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant questions why the Moon exhibits decelerated and accelerated velocities during its orbit, suggesting that Earth's velocity variances affect the Moon's motion.
  • Another participant introduces the idea that the solid nature of the Moon restricts its molecules to move with the same velocity, unlike the water on Earth, which can follow individual orbits.
  • A participant seeks clarification on the role of density in the observed phenomena, leading to a conflicting response that denies its relevance.
  • One participant references frame-dragging from general relativity to explain the influence of the center of mass on space, questioning the applicability of Kepler's laws in this context.
  • Another participant asserts that the discussion is misaligned with relativity, emphasizing that the definition of orbit is sufficient to explain the observed effects, regardless of the gravitational model used.
  • A later reply expresses confusion regarding the nature of the hill sphere and its relation to gravity, indicating a desire to connect these concepts back to the foundations of general relativity.

Areas of Agreement / Disagreement

Participants express differing views on the relevance of density, the applicability of general relativity, and the fundamental nature of orbits. No consensus is reached regarding the explanations for the velocity variances or the underlying principles governing them.

Contextual Notes

Participants reference various theoretical frameworks, including classical mechanics and general relativity, without resolving the implications of these theories on the observed phenomena. The discussion includes assumptions about the nature of orbits and the effects of mass distribution that remain unexamined.

Who May Find This Useful

This discussion may be of interest to those exploring orbital mechanics, the interplay between classical and relativistic physics, and the historical development of these concepts.

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Why does the moon have a decelerated velocity on one half of its orbit and on the other side it has an accelerated velocity. And why is this same with the earth. From my data the variances in velocities of Earth affect the velocity variance of the moon. So I have been able to create a formula of ware the hill of the ellipse of the moon will be, and it works. But I can't understand why this accurse. My train of thought directs away from Albert Einstein’s frame dragging and more towards Johannes Kepler. This is because of the velocity vectors and the affects on objects in a hill sphere.
 
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Hi threadmark! Welcome to PF! :smile:

Because the Moon is solid.

If it was made of water, each molecule of water would be free (more or less) to follow its correct orbit.

But all the molecules of our actual solid Moon are stuck together, and they all have to move with the same velocity … the velocity of the centre of mass.

By contrast, the Earth is covered with water, and each molecule of that water (if we ignore currents and the rotation of the Earth :rolleyes:) does follow its own orbit … that's why the surface of the oceans are a different shape to the solid surface of the Earth (that shape has a special name, beginning with "geo", that I can't remember).​
 
So density has something to do with it?
 
threadmark said:
So density has something to do with it?

No. :confused:
 
so its the centre of mass that bends space: ref from Rotational frame-dragging (the Lense-Thirring effect) appears in the general principle of relativity and similar theories in the vicinity of rotating massive objects. Albert Einstein's theory of general relativity predicts that rotating bodies drag spacetime around themselves in a phenomenon referred to as frame-dragging. so if its based on the principle of kr2 why is there an ellipse in the orbit and why doesn’t his formulas Eva consider velocities.
 
Sorry, you've completely lost me. :redface:

This has nothing to do with relativity, it's just the definition of orbit.

The effect would be the same if, for example, gravity was inverse cube instead of inverse square.
 
I was under the impression that our hill sphere is round like a sphere, and that an orbit of mass is the only evidence of gravity? So I’m referring to the original basis for general relativity.
 

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