Research output: Contribution to journal › Article › peer-review
Regular Keplerian motions in classical many-body systems. / Butikov, Eugene I.
In: European Journal of Physics, Vol. 21, No. 5, 01.09.2000, p. 465-482.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Regular Keplerian motions in classical many-body systems
AU - Butikov, Eugene I.
PY - 2000/9/1
Y1 - 2000/9/1
N2 - A clear and simple physical approach to the explanation of exact particular solutions of the classical many-body problem is suggested. When the motion of individual bodies coupled by mutual gravitational forces in a many-body system occurs along conic sections, each body can be treated as moving not under the pull of the other moving bodies, but rather under a stationary central inverse-square gravitational field. These solutions describing possible amazingly simple (Keplerian) many-body motions are illustrated by computer simulations. Some pedagogical and philosophical aspects of the problem are discussed.
AB - A clear and simple physical approach to the explanation of exact particular solutions of the classical many-body problem is suggested. When the motion of individual bodies coupled by mutual gravitational forces in a many-body system occurs along conic sections, each body can be treated as moving not under the pull of the other moving bodies, but rather under a stationary central inverse-square gravitational field. These solutions describing possible amazingly simple (Keplerian) many-body motions are illustrated by computer simulations. Some pedagogical and philosophical aspects of the problem are discussed.
UR - http://www.scopus.com/inward/record.url?scp=0347316329&partnerID=8YFLogxK
U2 - 10.1088/0143-0807/21/5/313
DO - 10.1088/0143-0807/21/5/313
M3 - Article
AN - SCOPUS:0347316329
VL - 21
SP - 465
EP - 482
JO - European Journal of Physics
JF - European Journal of Physics
SN - 0143-0807
IS - 5
ER -
ID: 51954830