Comment on “Out-of-plane equilibrium points in the restricted three-body problem with oblateness (Research Note)”
School of Astronomy and Space Science, Nanjing University,
2 Key Laboratory of Modern Astronomy and Astrophysics in Ministry of Education, Nanjing University, Nanjing 210046, PR China
Accepted: 26 January 2018
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.
Key words: celestial mechanics / minor planets, asteroids: general / methods: analytical
© ESO 2018