The Bertrand problem (Q1820609)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The Bertrand problem |
scientific article; zbMATH DE number 3997209
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Bertrand problem |
scientific article; zbMATH DE number 3997209 |
Statements
The Bertrand problem (English)
0 references
1986
0 references
We consider mechanical systems that admit an invariant of motion that is polynomial in velocity and is of order at most two. We obtain conditions, which the potential of such a system (generalizing the Darboux equation) must satisfy, and a formula that expresses the force function of the system in terms of the kinetic energy and the invariant in case the invariant is regular.
0 references
configuration space
0 references
mechanical systems
0 references
invariant of motion
0 references
Darboux equation
0 references
force function
0 references
