Explicit Second Partial Derivatives of the Ferrers Potential

Autor(es)

Carita, Lucas Antonio ^{[1, 2, 3]} ; Rodrigues, Irapuan ^[2] ; Puerari, Ivanio ^[1]

Afiliação do(s) autor(es)

^[1] INAOE, Puebla - Mexico

^[2] Univ Vale Paraiba, UNIVAP, Phys & Astron Lab, BR-72840 Sao Jose Dos Campos - Brazil

^[3] IFSP, Inst Fed Educ Ciencia & Tecnol Sao Paulo, BR-12223201 Sao Jose Dos Campos - Brazil

• Tipo de documento: Artigo Científico
• Fonte: GALAXIES; v. 5, n. 4 DEC 2017.
• Citações Web of Science: 1

Resumo

One of the algebraic potentials most commonly used to represent a galactic bar in the stellar orbits integration is the Ferrers potential. Some researchers may be inclined to implement a numerical differentiation for it in the motion or variational equations, since it can be very laborious to calculate such derivatives algebraically, despite a possible polynomial form, and there are no publications showing the second partial explicit derivatives. The purpose of this work is to present the explicit algebraic form of the partial derivatives of the Ferrers potential using the simplifications suggested by Pfenniger. (AU)

• Processo FAPESP: 13/17247-9 - Dinâmica de galáxias discoidais isoladas e em interação via simulações de N-Corpos/SPH
• Beneficiário: Irapuan Rodrigues de Oliveira Filho
• Modalidade de apoio: Auxílio à Pesquisa - Regular