Spin stabilized magnetic levitation

被引:72
作者
Simon, MD
Heflinger, LO
Ridgway, SL
机构
[1] Department of Physics, Univ. of California at Los Angeles, 405 Hilgard Avenue, Los Angeles, CA
[2] 5001 Paseo de Pablo, Torrance
[3] 537 9th St., Santa Monica
关键词
D O I
10.1119/1.18488
中图分类号
G40 [教育学];
学科分类号
040101 ; 120403 ;
摘要
The stability of the Levitron(R) cannot be explained if the top's axis has a fixed direction in space. Stability against flipping is not enough. Gyroscopic precession around the local magnetic field direction is necessary. An analysis and numerical integration of the equations of motion for an experimental stemless top that includes gyroscopic precession around the local magnetic field lines predict that the top will be supported stably up to spin speeds of about 3065 rpm. An upper spin limit of 2779 rpm for this top is observed experimentally and explained as an adiabatic condition. Spin stabilized magnetic levitation is a macroscopic analog of magnetic gradient traps used to confine particles with a quantum magnetic moment. (C) 1997 American Association of Physics Teachers.
引用
收藏
页码:286 / 292
页数:7
相关论文
共 13 条
[1]   The Levitron(TM): An adiabatic trap for spins [J].
Berry, MV .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1996, 452 (1948) :1207-1220
[2]  
Earnshaw S., 1842, Transactions Cambridge Philosophical Society, V7, P97
[3]  
EDGE R, 1995, PHYS TEACH, V33, P252
[4]  
EDGE R, 1996, PHYS TEACH, V34, P329
[5]  
HARRIGAN R, COMMUNICATION
[6]  
HARRIGAN RM, 1983, Patent No. 4382245
[7]  
HONES B, COMMUNICATION
[8]  
HONES FW, 1995, Patent No. 5404062
[9]  
JOOS G, 1950, THEORETICAL PHYSICS, P150
[10]  
Kagan D., 1993, PHYS TEACH, V31, P432