DOAJ Open Access 2023

Transmutation of central forces and Bertrand’s theorem

Carimalo Christian

Abstrak

The transmutation of central forces, or dual law, is a transformation linking potentials in power law relative to the distance, that is, those having a positive exponent to those having a negative exponent. A well known example is that of the Newtonian and Hookean potentials, which are also strongly linked by Bertrand’s famous theorem. This article shows how the use of dual law provides a better understanding of this theorem, and a new way to complete its demonstration

Penulis (1)

C

Carimalo Christian

Format Sitasi

Christian, C. (2023). Transmutation of central forces and Bertrand’s theorem. https://doi.org/10.2298/TAM220602001C

Akses Cepat

Lihat di Sumber doi.org/10.2298/TAM220602001C
Informasi Jurnal
Tahun Terbit
2023
Sumber Database
DOAJ
DOI
10.2298/TAM220602001C
Akses
Open Access ✓