Working Paper Article Version 3 This version is not peer-reviewed

Mechanics of the Gyroscopic Precession and Calculation of the Galactic Mass

Version 1 : Received: 5 February 2021 / Approved: 8 February 2021 / Online: 8 February 2021 (12:36:46 CET)
Version 2 : Received: 9 February 2021 / Approved: 10 February 2021 / Online: 10 February 2021 (13:16:30 CET)
Version 3 : Received: 8 April 2021 / Approved: 9 April 2021 / Online: 9 April 2021 (14:59:34 CEST)

How to cite: Sun, J.; Xu, T.; Jiao, Z.; Wang, H. Mechanics of the Gyroscopic Precession and Calculation of the Galactic Mass. Preprints 2021, 2021020206 Sun, J.; Xu, T.; Jiao, Z.; Wang, H. Mechanics of the Gyroscopic Precession and Calculation of the Galactic Mass. Preprints 2021, 2021020206

Abstract

A spinning gyroscope precesses about the vertical due to a torque acting upon the wheel. The torque is generated by the shift of moment of force by gravity and it points to the vertical instead of the tangential direction of precession. This intuition offers an alternative and straightforward view of precession dynamics in comparison with the literature. It also presumes a dynamic balance of momentum between circular motions of the wheel spin and precession. Accordingly, the gyroscopic dynamics is then applied to the study of galactic motion of the solar system in space and the Galactic mass is calculated with the inclusion of gyroscopic effect of the solar planets. Results indicate that the gyroscopic effect of Mercury orbiting around the Sun can increase the calculated Galactic mass by 23% in comparison with the result obtained by the classic approach.

Subject Areas

gyroscopic precession; solar system; galactic mass

Comments (1)

Comment 1
Received: 9 April 2021
Commenter: Jian Sun
Commenter's Conflict of Interests: Author
Comment: Paper is reformatted and improved with shorter introduction and better discussion.
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