Astronomy: Celestial Mechanics And Star Systems

Astronomy for All: Stars, Galaxies, Black Holes and All you need to know about Gravity, Orbits and Planets

What you'll learn

Stellar Orbits

Gravitational Properties of Celestial Bodies

Planetary Configurations & Phases

Complex Stellar and Galactic Systems

Principles of Satellites

Interplanetary Travel

Kepler's Laws & Equations

Essential Points and Limits in Cosmic Systems

Energy Laws

The Evolution of Ideal & Real Systems

Comets, Spaceships and Asteroids

Tidal Forces

3-Body Problem

Requirements

Basic Mathematics knowledge: numerical operators (including square roots and exponentiation) and little trigonometry

Necessary equipment: calculator, ruler and compasses

Every other notion will be introduced and explained in the course

Description

Astronomy: Celestial Mechanics and Star Systems — Take Flight Among the Stars!This is a 20-hour course where you will learn everything you need to know about the motion of celestial bodies.It includes:40 video lectures20 assignments100+ practice problems200+ discussed examplesVarious resources and interactive simulationsWe will begin by introducing the different concepts and laws that govern the Universe, then build our understanding of orbital trajectories, analyze the properties of stars, planets, galaxies, and more, and finally apply these skills to complex real systems that shape the world we live in.From predicting planets' alignments, to tidal forces that define evolution; from collapse mechanisms causing disk formation or star births, to calculating efficient trajectories of space missions; from analyzing distant galaxies, to breaking down their complex close-up behavior — this course answers all of your questions about the curious motion of celestial bodies and strengthens your problem-solving and critical thinking skills.Starting from the fundamentals of space exploration and ending with the modern quandaries of humanity, you will gain elite knowledge of astronomical systems, being able to solve even the most intricate questions at the highest International Olympiad level yourself!This course is ideal for learners of all ages. Whether you are just a passionate beginner exploring the wonders of astronomy, a high-school student aiming to deepen your knowledge for exams or Olympiads, or a University undergraduate pursuing a professional-level understanding of Celestial Mechanics — you will find it a valuable experience both academically and recreationally!You are encouraged to ask questions, try solving problems yourself using your calculator and wits, and save these materials for future reference. But most importantly, take your time and enjoy learning about the beauties of the cosmos!Are you ready for the challenge? Come aboard our spacecraft and let's take flight among the stars!

Overview

Section 1: Introduction

Lecture 1 Introduction

Lecture 2 How to use a Hand Calculator

Lecture 3 Units of Measurement

Section 2: Orbital Concepts

Lecture 4 Velocity and Angular Velocity

Lecture 5 Linear and Angular Momentum

Lecture 6 Acceleration

Lecture 7 Moment of Inertia

Lecture 8 Energy

Lecture 9 Conservation Laws

Lecture 10 Gravitational Force and First Cosmic Velocity

Section 3: Stellar Orbits

Lecture 11 Types of Orbits

Lecture 12 Binary Systems

Lecture 13 Kepler's Laws

Lecture 14 Applications of Orbital Laws

Lecture 15 Orbital Inclination and Apsides Argument

Section 4: The Elliptical Orbit

Lecture 16 Satellites

Lecture 17 Parameters of an Ellipse

Lecture 18 Ellipse Equation

Lecture 19 Energy and Velocity on Ellipse

Lecture 20 Anomalies and Kepler's Equation

Section 5: Parabolic & Hyperbolic Orbits

Lecture 21 Orbital Parameters

Lecture 22 Second Cosmic Velocity

Lecture 23 Optical Property

Lecture 24 Velocity Profiles

Section 6: Gravitational Properties

Lecture 25 Hill & Roche Radius

Lecture 26 Third Cosmic Velocity

Lecture 27 Lagrange Points (part 1)

Lecture 28 Lagrange Points (part 2)

Lecture 29 The Mass Function

Lecture 30 Tidal Forces

Section 7: Star Systems

Lecture 31 Orbits within Orbits

Lecture 32 Changes of Orbits

Lecture 33 Differential Movement

Lecture 34 Planetary Configurations

Lecture 35 Phases of the Moon and Planets

Lecture 36 Galactic Trends

Lecture 37 The Virial Theorem

Section 8: Additional Content

Lecture 38 IPhO 2009 Problem 1

Lecture 39 3-Body Problem

Lecture 40 The Coriolis Force

Any astronomy passionate or person interested in learning real life applications of Celestial Mechanics,Beginners interested in the basics of the night sky,Students preparing for exams or competitions,Advanced students or people interested in diving into the depths of Celestial Mechanics