The Mathematics of Star Trek. Lecture 11: Extra-Solar Planets. Outline. Finding Extra-Solar Planets The Two-Body Model A Celestial Cubic Example-51-Pegasi. Finding Extra-Solar Planets. Recent discoveries of planets orbiting stars rely on a type of problem known as an inverse problem.
Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.
Lecture 11: Extra-Solar Planets
so the magnitude of the centripetal force on the star is
where G is the universal gravitation constant
we find that x and satisfy the following cubic equation:
v = 53 m/s,
T = 4.15 days, and
M = 1.99 x 1030 kg.
Use Mathematica to find r, , x, and m by finding the roots of (4) directly.Example-51-Pegasi