Shop

COMPUTER TRACKING OF GEODESICS

eBook (PDF), 40 Pages
This item has not been rated yet
Price: $5.37
It is demonstrated via a dynamic computer geometric analysis that in Newton’s Principia Propositions 55/56 the principle of geodesic uniform motion on a curved surface is implied. A 2D-elliptic orbit satisfying Kepler’s second law, expanding area in proportion to time, is transformed to a curved trajectory on 3D-ellipsoid surface traversed with uniform velocity. Vice versa, projections of computer tracked geodesic trajectories on ellipsoid surfaces expanding with increasing eccentricity give rise to precessing orbits in which Kepler’s Second and Third law approximated via triangle geometry become independent from the eccentricity and the magnitude of the time interval. The geodesics are identified as Viviani curves, intersections of ellipsoid surfaces with axes A=B, C and elliptic cylinders tangent in the aphelia. A circle is a projection of a geodesic equator of an ellipsoid with ratio of the axes A=B=1 C=2.
Available in PDF Format

Ratings & Reviews

Log in to review this item
There are no reviews for the current version of this product
Refreshing...
There are no reviews for previous versions of this product
Refreshing...

Product Details

Edition
First Edition
Publisher
The Dark Horse's Mouth
Published
November 4, 2011
Language
English
Pages
40
File Format
PDF
File Size
4.66 MB

Formats for this Ebook

PDF
Required Software Any PDF Reader, Apple Preview
Supported Devices Windows PC/PocketPC, Mac OS, Linux OS, Apple iPhone/iPod Touch... (See More)
# of Devices Unlimited
Flowing Text / Pages Pages
Printable? Yes
Report This Content to Lulu >

Moderation of Questionable Content

Thank you for your interest in helping us moderate questionable content on Lulu. If you need assistance with an order or the publishing process, please contact our support team directly.

How does this content violate the Lulu Membership Agreement?

Keywords

Listed In