Unsolved Scientific Problems in Classical Mechanics

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Key unsolved problems in classical mechanics include the complexities of fluid dynamics and turbulence, which remain challenging for scientists, as exemplified by the difficulties in understanding bumblebee flight. The N-body problem continues to be unresolved, with only a few specific cases having solutions since its introduction by Newton. Additionally, there is a noted absence of a classical mechanics-only approach to geometric phases in chaotic systems. These issues highlight significant gaps in the understanding of rigid body mechanics, deformable-body mechanics, and fluid mechanics. Addressing these problems could advance the field of classical mechanics significantly.
Muhammad
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Hallo Everyone,

What are the most important unsolved problems in Classical Mechanics especially related to mechanics of rigid body mechanics, deformable-body mechanics and, fluid mechanics.
 
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Muhammad said:
Hallo Everyone,

What are the most important unsolved problems in Classical Mechanics especially related to mechanics of rigid body mechanics, deformable-body mechanics and, fluid mechanics.

I have read that complicated fluid dynamics and turbulence is still a beast to deal with.
e.g. http://www.livescience.com/33075-how-bees-fly.html -- scientists took a while to figure out how bumble bees generate enough lift for flight.
 
For classical mechanics, the N-body problem is still unsolved, except for a few special cases. It's been around since Newton.

http://en.wikipedia.org/wiki/N-body_problem
 
Not sure if important, but I think there is still missing A classical mechanics-only approach to geometric phases in chaotic systems .
 

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