Relative Equilibria of the Curved N-Body Problem

Authors:

ISBN: 978-94-91216-67-1 (Print) 978-94-91216-68-8 (Online)

Table of contents (14 chapters)

  1. Front Matter

    Pages i-xiv

  2. No Access

    Book Chapter

    Pages 1-10

    Introduction

  3. Background and Equations of Motion

    1. Front Matter

      Pages 11-11

    2. No Access

      Book Chapter

      Pages 13-24

      Preliminary Developments

    3. No Access

      Book Chapter

      Pages 25-42

      Equations of motion

  4. Isometries and Relative Equilibria

    1. Front Matter

      Pages 43-43

    2. No Access

      Book Chapter

      Pages 45-52

      Isometric Rotations

    3. No Access

      Book Chapter

      Pages 53-59

      Relative Equilibria (RE)

    4. No Access

      Book Chapter

      Pages 61-64

      Fixed Points (FP)

  5. Criteria and Qualitative Behavior

    1. Front Matter

      Pages 65-65

    2. No Access

      Book Chapter

      Pages 67-77

      Existence Criteria

    3. No Access

      Book Chapter

      Pages 79-87

      Qualitative Behavior

  6. Examples

    1. Front Matter

      Pages 89-89

    2. No Access

      Book Chapter

      Pages 91-97

      Positive Elliptic RE

    3. No Access

      Book Chapter

      Pages 99-108

      Positive Elliptic-Elliptic RE

    4. No Access

      Book Chapter

      Pages 109-112

      Negative RE

  7. The 2-dimensional case

    1. Front Matter

      Pages 113-113

    2. No Access

      Book Chapter

      Pages 115-119

      Polygonal RE

    3. No Access

      Book Chapter

      Pages 121-130

      Lagrangian and Eulerian RE

    4. No Access

      Book Chapter

      Pages 131-134

      Saari’s Conjecture

  8. Back Matter

    Pages 135-143