Abstract

Summary Kepler's investigation of Mars in Astronomia Nova progressed through three distinct stages, each associated with an ‘ovoid’ curve of a particular grade (the egg-metaphor was originated by Kepler himself). The geometrical separation of the first two proposed ovoids is greatest for their quadrant-positions, so that is where Kepler assessed them. Via a previously-unnoticed diagram, I exhibit the simple Euclidean construction he used to determine the optimum position of the Earth acting as a mobile observing-platform. Then I extend Kepler's method to verify that, for at least half its orbit, the Earth will provide a viewing-angle amply large enough to justify his conclusion that the observed quadrant-position lay ‘in the middle’. Hence - regardless of shape - the planetary orbit is identified as an ovoid of medial grade.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.