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14: Mathematics for Orbits

Last updated

Dec 30, 2020
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- 13.4: *Kepler Orbit Action-Angle Variables
- 14.1: Preliminaries- Conic Sections

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14.1: Preliminaries- Conic Sections
14.2: The Ellipse
The simplest nontrivial planetary orbit is a circle. An ellipse is a circle scaled (squashed) in one direction.
14.3: The Parabola
The parabola can be defines as the limiting curve of an ellipse as one focus (in the case we’re examining, that would be F1) going to infinity. The eccentricity evidently goes to one, e→1 since the center of the ellipse has gone to infinity as well.
14.4: The Hyperbola

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