This study-summary on the energy orbits can be considered as an approximate simile to the concepts of quantum mechanics regarding to the harmonic oscillation of particles, but considering the distribution of electrons (and planets) in radial orbits around the atomic nuclei following therefore the distribution of radial coordinates and not of Cartesian coordinate as the quantum mechanics makes.
Therefore, orbital ones (electrons, planets, etc --we will call particles--) rotate around its central nucleus in stable orbits, which are created by the magnetic fields of these nuclei.
Now then, inside these established orbits, the particles don't always move at the same distances of the nucleus, but rather they can have certain flexibility or periods of oscillation between an interior part of the orbit and another external one, that is to say, between a maximum distance from the nucleus and another minimum distance of the same one.
Therefore we can accept that in bigger or smaller measure, all particles oscillate inside its corresponding orbit between a maximum and a minimum of distance to the central nucleus.
The orbits are magnetic fields that try to drive particles to the centre of this orbit, and if for any reason of speed, weight, crashes with other particles, etc. these particles move toward inside or outside of the orbit, this orbital fields impels particles toward the orbit centre again, creating an oscillation that can last a lot of time.
Therefore so much electrons as planets (particles) have two external movement types, which are the turning movement around the nucleus and the oscillatory or harmonic movement toward inside and outside of the orbit.
This case, the orbital oscillation can be one reasons for the climatic changes in planets (glaciations mainly) due to the cyclic approach to its stars.
In the drawing we can also see the formula, by mean of radial coordinates, to obtain the particle position in any moment.
Width ( AR ). The oscillation width depends so much of the characteristics of the orbits, as of the characteristics and circumstances of the particles that oscillate inside these orbits.
We can say orbits are different in any gravitational system (atoms, stars, etc. ) depending on the number of orbits that they have and keeping in mind that the nearest orbits to the nucleus are more narrow and the most distant wider, being therefore the most distant and wider of more oscillation width and the nearest of less oscillation width.
Inside the characteristics of the particles (electrons, planets, etc. ) we can consider their mass and speed. As for their circumstances we should keep in mind their speed and initial direction, increase of mass for assimilation of other particles, direction and forces of the crashes with other particles, etc.
Classes of harmonic oscillations. Considering the properties and characteristic of orbits and particles we can accept that each particle can have different oscillation types at the same time.
In the first place we would have a main oscillation (harmonic main) that would be the initial oscillation in the constitution of the orbit that would describe an ellipse with near period to a complete revolution.
We would also have a secondary harmonic that would be of very long period and it could be considered as a pure harmonic, which would take place for resonance of the own magnetic forces that constitute the orbits.
In third place we would have the harmonics taken place by nuclear changes, changes of the particle, crashes with other particles, etc.
Each one of these harmonic would be also more or less wide according to the orbit in which is developed (nearer-less width; more distant-more width)