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Equilibrium points and orbits around asteroid with the full gravitational potential caused by the 3D irregular shape

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Abstract

We investigate the equilibrium points and orbits around asteroid 1333 Cevenola by considering the full gravitational potential caused by the 3D irregular shape. The gravitational potential and effective potential of asteroid 1333 Cevenola are calculated. The zero-velocity curves for a massless particle orbiting in the gravitational environment have been discussed. The linearized dynamic equation, the characteristic equation, and the conserved quantity of the equilibria for the large-size-ratio binary asteroid system have been derived. It is found that there are totally five equilibrium points close to 1333 Cevenola. The topological cases of the outside equilibrium points have a staggered distribution. The simulation of orbits in the full gravitational potential caused by the 3D irregular shape of 1333 Cevenola shows that the moonlet’s orbit is more likely to be stable if the orbit inclination is small.

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Acknowledgements

This research was supported by the National Natural Science Foundation of China (No. 11772356) and China Postdoctoral Science Foundation{General Program (No. 2017M610875).

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Correspondence to Yu Jiang.

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Yu Jiang received his B.S. degree from Peking University, and M.S. degree as well as Ph.D. degree from Tsinghua University. He is now a researcher at State Key Laboratory of Astronautic Dynamics and Tsinghua University. His research interests mainly focus on dynamics and control around multiple asteroid systems, surface motion and soft-landing on minor bodies, space debris, as well as dust dynamics.

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Jiang, Y. Equilibrium points and orbits around asteroid with the full gravitational potential caused by the 3D irregular shape. Astrodyn 2, 361–373 (2018). https://doi.org/10.1007/s42064-018-0029-6

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