Published November 14, 2003
| Version v1
Journal article
Representations of complex functions, means on the regular n-gon and applications to gravitational potential
Creators
- 1. CFTCUL, Avenida Prof. Gama Pinto, 2 Lisboa (Portugal)
- 2. LMM, 8 rue du Capitaine Scott, 75015 Paris (France)
Description
We present a method to analytically compute means of functions on regular n-gons and to study cyclic quantities of the complex variable. To achieve this, we construct representations of complex functions and compact expressions of their mean based on the use of a scalar product. Applied in the field of celestial mechanics, this method leads to results concerning gravitational potential and relative equilibrium composed by nested polygons
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/36/11435/a3_45_006.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/36/11435/a3_45_006.pdf; http://www.iop.org/;
- DOI
- 10.1088/0305-4470/36/45/006;
- PII
- S0305-4470(03)66121-4;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 36
- Journal Issue
- 45
- Journal Page Range
- p. 11435-11450
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 35018420
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ANALYTIC FUNCTIONS; ANALYTICAL SOLUTION; COMPLEX MANIFOLDS; EQUILIBRIUM; GRAVITATIONAL FIELDS
- Descriptors DEC
- FUNCTIONS; MATHEMATICAL MANIFOLDS; MATHEMATICAL SOLUTIONS