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Project 4: - Planetary System

Published online by Cambridge University Press:  01 February 2024

Pawel Scharoch
Affiliation:
Wrocław University of Science and Technology
Maciej P. Polak
Affiliation:
University of Wisconsin, Madison
Radosław Szymon
Affiliation:
Wrocław University of Science and Technology
Katarzyna Holodnik-Malecka
Affiliation:
Wrocław University of Science and Technology
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Summary

This project involves the application of molecular dynamics (MD) to a simple two-dimensional planetary system consisting of two planets and a fixed star. The primary focus is to construct a MD code using Newton’s law of universal gravitation as the interaction law and the Verlet algorithm for solving the initial value problem. The project examines the gravitational interaction described by Newton’s laws, focusing on the law of universal gravitation and its application to the planetary system. It further explores the principle of equivalence, the concept of conservative force, and the effective potential energy of the system. The discussion also covers the reduction of a single planet motion to one dimension, which offers insights into the trajectory of the planetary system. Finally, the project outlines the numerical approach using the Verlet algorithm for simulating the motion of the planets. The comprehensive understanding of the gravitational interactions and the computational techniques provide a solid foundation for the study of complex dynamical systems.

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Publisher: Cambridge University Press
Print publication year: 2024

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  • Planetary System
  • Pawel Scharoch, Wrocław University of Science and Technology, Maciej P. Polak, University of Wisconsin, Madison, Radosław Szymon, Wrocław University of Science and Technology
  • Software developed by Katarzyna Holodnik-Malecka, Wrocław University of Science and Technology
  • Book: A First Guide to Computational Modelling in Physics
  • Online publication: 01 February 2024
  • Chapter DOI: https://doi.org/10.1017/9781009413138.004
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  • Planetary System
  • Pawel Scharoch, Wrocław University of Science and Technology, Maciej P. Polak, University of Wisconsin, Madison, Radosław Szymon, Wrocław University of Science and Technology
  • Software developed by Katarzyna Holodnik-Malecka, Wrocław University of Science and Technology
  • Book: A First Guide to Computational Modelling in Physics
  • Online publication: 01 February 2024
  • Chapter DOI: https://doi.org/10.1017/9781009413138.004
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Planetary System
  • Pawel Scharoch, Wrocław University of Science and Technology, Maciej P. Polak, University of Wisconsin, Madison, Radosław Szymon, Wrocław University of Science and Technology
  • Software developed by Katarzyna Holodnik-Malecka, Wrocław University of Science and Technology
  • Book: A First Guide to Computational Modelling in Physics
  • Online publication: 01 February 2024
  • Chapter DOI: https://doi.org/10.1017/9781009413138.004
Available formats
×