wendy wrote:If you quantise the orbit, it would be stable. That's how Bohr stabalised the electron.
wendy wrote:Stable elliptical orbits are only stable in 3d. In any other dimension, one can only have stable circular orbits. Anything else is going to sling-shot your planet into the sun or deep space, long before life forms thereon. That's why you need something else to stabalise a radiant inverse-biquadratic. In Bohr's atom, one might point to the quantum nature of planck's constant controlling action. Bohr does not specifically specify waves, but the wave model fits neatly.
You can of course, use something like a radiant repelling force, where the carriers decay. This can be used for to create an inverse-force of a higher dimension, which would make the orbits gravitate to a specific distance from the sun (varyingly for different suns and planets), based on some secondary quantity other than mass. There was some talk about a similar one based on the bayonic number in 3D. Planets of different compositions might give a different bayonic mass, which when coupled with gravitational mass, would drive the ones with more bayons further out.
quickfur wrote:[...] A sinusoidal orbit will cause the planet to not only have seasons and climates caused by its double-rotation and its tilt wrt to the sun, but the sinusoidal variation of orbital radius will add an additional periodic warming/cooling cycle to the overall temperature on the planet's surface.
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