Mathematical Modelling of Meteoroid Streams

Preface 1. Introduction 1.1 Mathematical modelling in general 1.2 On history of meteoroid stream modelling 2. Initial stage: the model stream generation 2.1 Choice of the ejection point on the reference orbit 2.1.1 Ejection in one point 2.1.2 Ejection along the orbit 2.2 Ejection velocity vector 2.2.1 Coordinate system 2.2.2 Isotropic ejection 2.2.3 Ejection in a cone 2.2.4 Subsolar point and the cosine ejection 2.2.5 Ejection speed 2.3 Calculation of the model meteoroid orbit 2.4 A simple model: the nonperturbed stream 3. The model stream evolution 3.1 Numerical integration 3.2 Analytical solution 3.3 How to take into account the radiation pressure force 3.4 How to take into account the Poynting-Robertson drag force 4. The end stage: the model stream now 4.1 Meteoroids registration on the Earth 4.2 The activity profile of the model meteor shower 4.3 Model radiants 4.4 Mass distribution in the model shower 5. Visualization of the results 5.1 Cross-section in the ecliptic plane 5.2 Cross-section perpendicular to the velocity vector 6. Application to real streams, analysis 6.1 Physical model of a meteoroid stream 6.2 Age of a meteoroid stream 6.3 Observations - the base for modelling Notation conventions Glossary References APPENDICES A1. Transition from the rectangular coordinates to the orbital elements and back A2. Transition between the coordinate systems A3. Random number generation