Bounded trajectories near collinear-like equilibrium points of elongated asteroids using linear control

详细信息    查看全文

• 作者：Hongwei Yang ; Hexi Baoyin ; Xiaoli Bai ; Jingyang Li
• 关键词：Asteroid ; Equilibrium point ; Effective potential ; Lissajous trajectory ; Linear control
• 刊名：Astrophysics and Space Science
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：362
• 期：2
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Astrophysics and Astroparticles; Astronomy, Observations and Techniques; Cosmology; Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics); Astrobiology;
• 出版者：Springer Netherlands
• ISSN：1572-946X
• 卷排序：362

文摘

A new method of obtaining bounded trajectories near collinear-like equilibrium points of elongated asteroids using a simple linear control is proposed. The characteristic equation of the linearized equation of motion near the collinear-like equilibrium points is reduced based on the property of the second derivatives of the effective potential. According to the reduced characteristic equation, the motion is decoupled into an in-plane motion and a out-of-plane motion. The solutions to the decoupled equation of motion are derived and the corresponding Lissajous trajectories are chosen as desired trajectories. A simple linear control, which tracks the Lissajous trajectories, is formulated with the stability conditions of gains. The effectiveness of the proposed method is validated by simulations using high fidelity models of 216 Kleopatra and 951 Gaspra.