Orbital Dynamics Part 07 Keplers First Law and the Ellipse
Channel: Jon Toellner
Date: 2019-04-15

A course in Orbital Dynamics.

0:00 Introduction
0:20 Johannes Kepler and Tycho Brahe
3:53 Relative Motions of Earth and Mars
5:22 Plotting Earth's Orbit
8:43 A Circle Versus an Ellipse
11:26 Circular vs Eccentric Earth Orbit with STK
11:53 Phases of the Seasons and Closeness of the Sun
12:15 Circular vs Eccentric Mars Orbit with STK
13:38 Kepler's Laws
14:36 Drawing a Circle
15:09 Drawing an Ellipse
15:32 Ellipse Focus Points
15:52 Ellipse Construction (a + b = semi-major axis)
16:16 Semi-major and Semi-minor Axes
17:06 Computing the Distance to the Focus
18:33 Eccentricity of an Ellipse
18:57 Parameters we use to Characterize an Ellipse
21:04 Defining the Shape of an Ellipse
21:52 Area of a Circle
22:06 Area of an Ellipse
22:31 Equal Angles
23:03 Conic Sections
24:40 Geometric Parameters for an Ellipse
31:30 Ellipse Construction with Geometer's Sketchpad
39:56 Constructing a Parabola
40:13 Constructing a Hyperbola
40:40 Another Conic Section Construction
44:18 Conic Section Names
45:10 Conclusion