TY - JOUR
T1 - Double pyramidal central configurations
AU - Zhang, Shiqing
AU - Zhou, Qing
PY - 2001/3/26
Y1 - 2001/3/26
N2 - For N + 2 (N ≥ 4) body problem, if N bodies are at the vertices of a unit regular polygon base and the (N + 1)th body and the (N + 2)th body have equal masses and are at two ends of the vertical line of the plane P formed by the former N bodies, and the vertical line passes the geometrical center of the unit regular polygon and the geometrical center coincides with the center of masses m1,..., mN, and m1,..., mN, mN+1, mN+2 (that is, the (N + 1)th body and the (N + 2)th body have the same distance from the center of masses), then the N + 2 bodies form a double pyramidal central configuration if and only if the masses which are at the vertices of a regular polygon are equal and (1.6) holds.
AB - For N + 2 (N ≥ 4) body problem, if N bodies are at the vertices of a unit regular polygon base and the (N + 1)th body and the (N + 2)th body have equal masses and are at two ends of the vertical line of the plane P formed by the former N bodies, and the vertical line passes the geometrical center of the unit regular polygon and the geometrical center coincides with the center of masses m1,..., mN, and m1,..., mN, mN+1, mN+2 (that is, the (N + 1)th body and the (N + 2)th body have the same distance from the center of masses), then the N + 2 bodies form a double pyramidal central configuration if and only if the masses which are at the vertices of a regular polygon are equal and (1.6) holds.
KW - (N + 2)-body problems
KW - Double pyramidal central configuration
KW - Regular polygonal base
UR - https://www.scopus.com/pages/publications/0035953048
U2 - 10.1016/S0375-9601(01)00140-2
DO - 10.1016/S0375-9601(01)00140-2
M3 - 文章
AN - SCOPUS:0035953048
SN - 0375-9601
VL - 281
SP - 240
EP - 248
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 4
ER -