Understanding the Earth-Moon Center of Mass and Its Effects on Lunar Orbit

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Discussion Overview

The discussion revolves around the dynamics of the Earth-Moon center of mass (CoM) and its implications for lunar orbit, including the path of the CoM around the sun and the effects of gravitational interactions with other celestial bodies. Participants explore concepts related to orbital mechanics, tidal locking, and gravitational perturbations.

Discussion Character

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

Main Points Raised

  • Some participants propose that the center of mass between the Earth and the Moon follows an elliptical path around the sun, with slight perturbations due to other planets.
  • Others argue that the CoM does not wobble significantly each month, as both the Earth and Moon orbit their mutual center of mass.
  • One participant notes that the Earth and Moon orbit around their mutual center of gravity, which is located within the Earth.
  • A participant raises a question about why only one side of the Moon faces the Earth, linking this to tidal forces and the synchronization of the Moon's rotation and orbital periods.
  • Another participant suggests that the Moon's center of gravity is off-center due to the Earth's gravitational influence, contributing to the tidal locking phenomenon.
  • Some participants mention the second zonal harmonic (the "J2" term) as a factor in the Moon's tidal locking, while also noting that it does not result in an off-center center of mass.

Areas of Agreement / Disagreement

Participants express differing views on the nature of the CoM's movement and the effects of tidal forces, indicating that multiple competing perspectives remain without a clear consensus.

Contextual Notes

Some claims depend on specific definitions of center of mass and gravitational influences, and the discussion includes unresolved aspects of orbital mechanics and tidal interactions.

Who May Find This Useful

Readers interested in orbital mechanics, gravitational interactions, and the dynamics of celestial bodies may find this discussion relevant.

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Does the center of mass between the Earth and the moon follow an elliptical path around the sun? Does it wobble a little bit?
 
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The exact path of the center-of-mass of the Earth-moon system is very slightly perturbed from an ellipse by the gravitational attraction of the other planets. However, it is very close to an ellipse because this perturbing influence is very small.
 
Wouldnt the CoM between Earth and Moon wobble each month (or moon cycle) as it follows the elliptical path caused by the moon revolving once around the earth??
 
I know that the center of mass would be constant if they were both just orbiting each other.

Could the sun perturb this?
 
Last edited:
Homer Simpson said:
Wouldnt the CoM between Earth and Moon wobble each month (or moon cycle) as it follows the elliptical path caused by the moon revolving once around the earth??

No, because the Earth is also orbiting about the Earth-Moon CoM.
 
Last edited by a moderator:
Sorry to butt in with my own question, but can you explain this? (Not the actual tides part, but how it causes only one side of the moon to face earth. I always thought this was just a fluke, that the moon revolves once on its own axis for every one rev around the earth. Thinking about it, that would have to be one precise fluke!):bugeye:

Have you ever heard the term the 'far-side' of the Moon? Because of the effect on the Moon of tidal forces due to the Earth, the same side of the moon always faces the Earth. The rotation period and the orbital period of the Moon are the same. Therefore, Earth-bound observers can never see the 'far-side' of the Moon. Tidal forces cause many of the moons of our solar system to have this type of orbit.

I would guess that the CoG of the moon is off center, closer to the Earth/Moon CoG due to the bulging effect of the Earth on the moon.

http://www.windows.ucar.edu/tour/link=/the_universe/uts/moon1.html&edu=high

Is there any good net sources for general learning on this stuff you would suggest?
 
Last edited:
Homer Simpson said:
Sorry to butt in with my own question, but can you explain this? ... I would guess that the CoG of the moon is off center, closer to the Earth/Moon CoG due to the bulging effect of the Earth on the moon.

Is there any good net sources for general learning on this stuff you would suggest?

While the Moon does have some rather high non-spherical mass concentrations, it is primarily the second zonal harmonic (the "J2" term) that leads to the Moon's tidally-locked revolution. The second zonal harmonic by itself does not result in an off-center center of mass.

Google "gravity gradient torque".
 

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