Applied Mathematics and Mechanics

February 2005, Volume 26, Issue 2, pp 171–178 | Cite as

Generalized homogeneous functions and the two-body problem

• Authors
• Authors and affiliations

• C. Biasi
• S. M. S. Godoy

Article

Received: 30 November 2003

• 89 Downloads

Abstract

A generalization of the homogeneous function concept is studied. An application is done with a solution of the two-body problem.

Key words

homogeneous function generalized homogeneous function Kepler’s second law two-body problem 

Chinese Library Classification

O175 

2000 Mathematics Subject Classification

34C40 70F05 

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References

1. [1]
   Herrick C. On the computation of nearly parabolic two-body orbits[J].Astronom J, 1960,65 (6): 386–388.MathSciNetCrossRefGoogle Scholar
2. [2]
   Stoker J J.Differential Geometry, Pure and Applied Mathematics[M]. Wiley-Interscience, 1969.Google Scholar

Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 2005

Authors and Affiliations

• C. Biasi
  • 1
• S. M. S. Godoy
  • 1

1. 1.Departamento de Matemática, Instituto de Ciências Matemáticas e de ComputaçãoUniversidade de São Paulo-Campus de São CarlosSãoBrazil