Kepler and Gravitation

Kepler and Gravitation - - The eccentricity is a measure of...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Kepler and Gravitation Terms Period - The period of an orbit, usually denoted $T$, is the total time taken for an object to complete one full revolution on its orbit. Kepler's First Law - The planets orbit the sun in ellipses, with the sun at one focus. Kepler's Second Law - The radius of a planet sweeps out a constant area per unit time. Kepler's Third Law - \begin{equation} T^2 = \frac{4\pi^2a^3}{GM} \end{equation} where $T$ is the period, $G$ is the gravitational constant, and $M$ is the mass of the sun. Eccentricity
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: - The eccentricity is a measure of the elongation of an ellipse. It is defined as: \begin{equation} \epsilon = \sqrt{1 - \frac{b^2}{a^2}} \end{equation} where $a$ and $b$ are the semimajor and semiminor axis lengths respectively. Aphelion - The point of a planet's furthest distance from the sun on its orbit. Perihelion - Is the point of a planet's closest approach to the sun. Apogee - For an earth orbit, the furthest distance from the earth. Perigee - For an earth orbit, the closest distance to the earth....
View Full Document

Ask a homework question - tutors are online