62 citations · 337 across the 36 of their papers we have counts for
36 papers
A note on the electrostatic energy of two point charges
A C Tort
The electrostatic field energy due to two fixed pointlike charges shows some peculiar features concerning the distribution in space of the field energy density of the system. Here…
An exercise on Gauss' law for gravitation: The Flat Earth model
A C Tort
We discuss the flat and hollow models of the Earth as a pedagogical example of the application of Gauss' law to the gravitational field.
Simple circuit theory and the solution of two electricity problems from the Victorian Age
Alexandre C Tort
Two problems from the Victorian Age, the subdivision of light and the determination of the leakage point in an undersea telegraphic cable are discussed and suggested as a concrete…
The determination of the apsidal angles and Bertrand's theorem
Filadelfo C. Santos, Vitorvani Soares, Alexandre C. Tort
We derive an expression for the determination of the apsidal angles that holds good for arbitrary central potentials. Then we discuss under what conditions the apsidal angles remai…
An English translation o Bertrand's theorem
F. C. Santos, V. Soares, A. C. Tort
A beautiful theorem due to J. L. F. Bertrand concerning the laws of attraction that admit bounded closed orbits for arbitrarily chosen initial conditions is translated from French…
A non-perturbative proof of Bertrand's theorem
F C Santos, V Soares, A C Tort
We discuss an alternative non-perturbative proof of Bertrand's theorem that leads in a concise way directly to the two allowed fields: the newtonian and the isotropic harmonic osci…