Abstract

The problem of calculating the precession of the equinoxes due to the torque of the sun and moon on the Earth is often cited in mechanics texts as a classic example of the behavior of a heavy symmetrical top. Unfortunately this problem is often alluded to but seldom solved. A simple equatorial band model for the Earth and smeared out mass distributions for the sun and moon are used herein to solve this problem. It is found that one intuitively apparent approximation for the gravitational force on the band results in a precession period that is too long by a factor of 3/2, whereas a slightly more sophisticated approach provides an answer good to better than one percent.

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.