Do planets wave in their orbits?

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SUMMARY

Planets exhibit a wave-like motion in their orbits due to gravitational influences, particularly from larger bodies such as Jupiter and Saturn. This motion can be visualized as a sine curve when considering their height above an arbitrary plane, with one oscillation occurring per orbit. The center of mass of the solar system, which is slightly outside the Sun, also contributes to this non-linear movement. Thus, planetary orbits are not perfectly smooth but rather influenced by the inclinations and gravitational pulls of other planets.

PREREQUISITES
  • Understanding of celestial mechanics
  • Familiarity with gravitational interactions
  • Knowledge of orbital dynamics
  • Basic concepts of sine waves and oscillations
NEXT STEPS
  • Research the gravitational effects of Jupiter and Saturn on other planets' orbits
  • Study celestial mechanics and the concept of the center of mass in multi-body systems
  • Explore mathematical modeling of planetary motion using sine curves
  • Investigate the historical observations of planetary motion and their implications
USEFUL FOR

Astronomers, astrophysicists, and students of celestial mechanics will benefit from this discussion, particularly those interested in the dynamics of planetary orbits and gravitational interactions within the solar system.

Kev2013
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Do planets "wave" in their orbits?

Hi,

I was wondering if a planet moves up and down as they orbit the Sun due to the differing inclinations of the other planets? In other words do the planets move in a wave like motion in their orbits or is it smooth?

Thanks in advance.
 
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If you consider their height above some (arbitrary!) plane, it roughly follows a sine curve, with one oscillation per orbit.
 
Kev2013 said:
Hi,

I was wondering if a planet moves up and down as they orbit the Sun due to the differing inclinations of the other planets? In other words do the planets move in a wave like motion in their orbits or is it smooth?

Thanks in advance.

Even the Sun doesn't move in a straight line. Everything revolves around the center of mass, which is slightly outside of the Sun. The main influence other than the Sun is Jupiter, then Saturn.
 

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