Comment on "Out-of-plane equilibrium points in the restricted three-body problem with oblateness (Research Note)"

被引：2

作者：

Wu, Nan ^{[1
]}

Wang, Xuefeng ^{[1
]}

Zhou, Li-Yong ^{[1
,2
]}

机构：

[1] Nanjing Univ, Sch Astron & Space Sci, Nanjing 210046, Jiangsu, Peoples R China

[2] Nanjing Univ, Minist Educ, Key Lab Modern Astron & Astrophys, Nanjing 210046, Jiangsu, Peoples R China

来源：

ASTRONOMY & ASTROPHYSICS | 2018年 / 614卷

基金：

中国国家自然科学基金;

关键词：

celestial mechanics; minor planets; asteroids:; general; methods: analytical;

D O I：

10.1051/0004-6361/201832575

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Douskos & Markellos (2006, A&A, 446, 357) first reported the existence of the out-of-plane equilibrium points in restricted three-body problem with oblateness. This result deviates significantly from the intuitive physical point of view that there is no other force that can balance the combined gravitation in Z direction. In fact, the out-of-plane equilibrium in that model is illusory and we prove here that such equilibrium points arise from the improper application of the potential function.

引用

页数：2

共 50 条

[41] The motion around the libration points in the restricted three-body problem with the effect of radiation and oblateness
Abouelmagd, Elbaz I.
Sharaf, M. A.
ASTROPHYSICS AND SPACE SCIENCE, 2013, 344 (02) : 321 - 332
[42] Effect of three-body interaction on the number and location of equilibrium points of the restricted three-body problem
C. N. Douskos
Astrophysics and Space Science, 2015, 356 : 251 - 268
[43] Effect of three-body interaction on the number and location of equilibrium points of the restricted three-body problem
Douskos, C. N.
ASTROPHYSICS AND SPACE SCIENCE, 2015, 356 (02) : 251 - 268
[44] On the stability of artificial equilibrium points in the circular restricted three-body problem
Bombardelli, Claudio
Pelaez, Jesus
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2011, 109 (01): : 13 - 26
[45] Stability of equilibrium points in the generalized perturbed restricted three-body problem
Singh, Jagadish
Begha, Jessica Mrumun
ASTROPHYSICS AND SPACE SCIENCE, 2011, 331 (02) : 511 - 519
[46] On the stability of artificial equilibrium points in the circular restricted three-body problem
Claudio Bombardelli
Jesus Peláez
Celestial Mechanics and Dynamical Astronomy, 2011, 109 : 13 - 26
[47] Stability of equilibrium points in the generalized perturbed restricted three-body problem
Jagadish Singh
Jessica Mrumun Begha
Astrophysics and Space Science, 2011, 331 : 511 - 519
[48] The restricted three-body problem. Comments on the 'spatial' equilibrium points
Roman, R
ASTROPHYSICS AND SPACE SCIENCE, 2001, 275 (04) : 425 - 429
[49] Critical periodic orbits in the restricted three-body problem with oblateness
Perdios, E. A.
Kalantonis, V. S.
ASTROPHYSICS AND SPACE SCIENCE, 2006, 305 (04) : 331 - 336
[50] Stability of the Triangular Points Under Combined Effects of Radiation and Oblateness in the Restricted Three-Body Problem
Elbaz I. Abouelmagd
Earth, Moon, and Planets, 2013, 110 : 143 - 155

← 1 2 3 4 5 →