integrable rigid body system
C22182
concept
An integrable rigid body system is a mechanical model of a rigid body whose equations of motion admit enough conserved quantities to be solved exactly, typically allowing its dynamics to be expressed in terms of action-angle variables.
All labels observed (4)
| Label | Occurrences |
|---|---|
| rigid body | 2 |
| action–angle variables | 1 |
| integrable rigid body system canonical | 1 |
| mathematical model in rigid body dynamics | 1 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: integrable rigid body system
Generated description
An integrable rigid body system is a mechanical model of a rigid body whose equations of motion admit enough conserved quantities to be solved exactly, typically allowing its dynamics to be expressed in terms of action-angle variables.
Instances (5)
| Instance | Via concept surface |
|---|---|
| Kovalevskaya top | — |
| Delaunay variables | action–angle variables |
| Euler top | rigid body |
| Lagrange top | rigid body |
| Euler–Poisson equations | mathematical model in rigid body dynamics |