Mathematical Modelling of Meteoroid Streams

ISBN-13: 9783030515096 / Angielski / Miękka / 2020 / 68 str.

Galina O. Ryabova

Spis treści

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

O autorze

Galina Ryabova is a Principal Researcher and Professor at Tomsk State University. Her scientific interests are mathematical modelling of meteoroid streams and interrelations in asteroid-comet-meteoroid complex. She developed a mathematical model of the Geminid meteoroid stream — one of the three existing stream models. She has served on the Organizing Committee of the International Astronomical Union's "Meteors, Meteorites and Interplanetary Dust" Commission (IAU C.F1). She was also a Council member of the International Meteor Organization. She is editor-in-chief of the reference book “Meteoroids: Sources of Meteors on the Earth and Beyond” (Cambridge University Press, 2019).

Blurb

Modern computer power and high-precision observational data have greatly improved the reliability of meteoroid stream models. At present, scientific research calls for two kinds of models: precise ones for individual streams, and statistically averaged ones for Solar System dust distribution models. Thus, there is a wide field of study open to stream modellers.

This brief describes step-by-step computer simulations of meteoroid stream formation and evolution. Detailed derivations of relevant formulae are given, along with plenty of helpful, digestible figures explaining the subtleties of the method. Each theoretical section ends with examples aimed to help readers practice and master the material.

Most of the examples are based on the Geminid meteoroid stream model, which has been developed by the author in the last 30 years. The book is intended for researchers interested in meteor astronomy and mathematical modelling, and it is also accessible to physics and astrophysics students.