Dumbbell dynamics: a didactical approach

التفاصيل البيبلوغرافية
العنوان: Dumbbell dynamics: a didactical approach
المؤلفون: Scoppola, Benedetto, Veglianti, Matteo
سنة النشر: 2023
المجموعة: Astrophysics
Physics (Other)
مصطلحات موضوعية: Astrophysics - Earth and Planetary Astrophysics, Physics - Physics Education
الوصف: In this paper we propose a simplified model to describe the dissipative effects of tides. We assume a spherical Earth with a dissipative coupling with a mechanical dumbbell. The latter has a mass much smaller than the Earth's, and it models the presence of the tidal bulges. Using properly the scale analysis, we will show that some of the consequences of tidal dissipation are the circularization and the enlargement of orbit of the Moon and the slowing down of the Earth's rotation. We will also see that tidal dissipation plays a fundamental role for the establishment of a regime of spin-orbit resonance in the celestial systems. The mathematical tools used make our treatment appropriate for senior high school students or college students.
Comment: 10 pages, 3 figures
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2307.00292
رقم الأكسشن: edsarx.2307.00292
قاعدة البيانات: arXiv