The falling cat problem, explaining how cat dropped upside down with zero angular momentum lands on its feet, is a long-studied subject. Multiple papers and workshops have analyzed the problem. Here are a few of the seminal treatises:
Almost every mechanical engineer who works robotics know of Thomas Kane (Kane dynamics). Most don’t know that he was one of the first to solve the falling cat problem.
TR Kane and MP Scher, A dynamical explanation of the falling cat phenomenon, Int’l J. Solids and Structures (1969)
[url]http://pentagono.uniandes.edu.co/~jarteaga/geosem/taller7/minicursoJK-Uniandes/robotic examples/kane.pdf[/url]
This remains one of the very few papers on animal studies every published in the International Journal of Solids and Structures.
The falling cat problem was the principal subject of a 1993 Fields Institute workshop. The proceedings are
MJ Enos (ed.), Dynamics and Control of Mechanical Systems: The Falling Cat and Related Problems, Fields Inst. Commun., 1 (1993)
Two of the key papers:
MJ Enos, On an optimal control problem on SO(3)×SO(3) and the falling cat, Fields Inst. Commun., 1 (1993), 75-112.
[url]http://books.google.com/books?hl=en&lr=&id=MHDUUuf6F5MC&oi=fnd&pg=PA75#v=onepage&q&f=false[/url]
R Montgomery, Gauge theory of the falling cat, Fields Inst. Commun., 1 (1993), 193-218.
[url]http:://web.mit.edu/shawest/Public/Papers/cat_gauge_theory.PDF[/url]
The falling cat problem played a critical role in this paper on separating rotational, translational, and internal motion:
RG Littlejohn and M Reinsch, Gauge fields in the separation of rotations and internal motions in the n-body problem, Rev. Mod. Phys. 69 (1997), 213–276
[url]ftp://www.phy.pku.edu.cn/pub/Books/
Cat physics!
The falling cat problem, explaining how cat dropped upside down with zero angular momentum lands on its feet, is a long-studied subject. Multiple papers and workshops have analyzed the problem. Here are a few of the seminal treatises:
Almost every mechanical engineer who works robotics know of Thomas Kane (Kane dynamics). Most don’t know that he was one of the first to solve the falling cat problem.
TR Kane and MP Scher, A dynamical explanation of the falling cat phenomenon, Int’l J. Solids and Structures (1969)
[url]http://pentagono.uniandes.edu.co/~jarteaga/geosem/taller7/minicursoJK-Uniandes/robotic examples/kane.pdf[/url]
This remains one of the very few papers on animal studies every published in the International Journal of Solids and Structures.
The falling cat problem was the principal subject of a 1993 Fields Institute workshop. The proceedings are
MJ Enos (ed.), Dynamics and Control of Mechanical Systems: The Falling Cat and Related Problems, Fields Inst. Commun., 1 (1993)
Two of the key papers:
MJ Enos, On an optimal control problem on SO(3)×SO(3) and the falling cat, Fields Inst. Commun., 1 (1993), 75-112.
[url]http://books.google.com/books?hl=en&lr=&id=MHDUUuf6F5MC&oi=fnd&pg=PA75#v=onepage&q&f=false[/url]
R Montgomery, Gauge theory of the falling cat, Fields Inst. Commun., 1 (1993), 193-218.
[url]http:://web.mit.edu/shawest/Public/Papers/cat_gauge_theory.PDF[/url]
The falling cat problem played a critical role in this paper on separating rotational, translational, and internal motion:
RG Littlejohn and M Reinsch, Gauge fields in the separation of rotations and internal motions in the n-body problem, Rev. Mod. Phys. 69 (1997), 213–276
[url]ftp://www.phy.pku.edu.cn/pub/Books/
Richard Hammond!?