Transfer trajectory design about doubly synchronous binary asteroid system

Author(s):  
Xiaoyu Wu ◽  
Haibin Shang ◽  
Xiao Qin
2020 ◽  
Vol 493 (1) ◽  
pp. 171-183
Author(s):  
H S Wang ◽  
X Y Hou

ABSTRACT This article studies the secondary’s rotation in a synchronous binary asteroid system in which the secondary enters the 1:1 spin-orbit resonance. The model used is the planar full two-body problem, composed of a spherical primary plus a triaxial ellipsoid secondary. Compared with classical spin-orbit work, there are two differences: (1) influence of the secondary’s rotation on the mutual orbit is considered and (2) instead of the Hamiltonian approach, the approach of periodic orbits is adopted. Our studies find the following. (1) The genealogy of the two families of periodic orbits is the same as that of the families around triangular libration points in the restricted three-body problem. That is, the long-period family terminates on to a short-period orbit travelling N times. (2) In the limiting case where the secondary’s mass is negligible, our results can be reduced to classical spin-orbit theory, by equating the long-period orbit with free libration and the short-period orbit with the forced libration caused by orbit eccentricity. However, the two models show obvious differences when the secondary’s mass is non-negligible. (3) By studying the stability of periodic orbits for a specific binary asteroid system, we are able to obtain the maximum libration amplitude of the secondary (which is usually less than 90°) and the maximum mutual orbit eccentricity that does not break the secondary’s synchronous state. We also find an anti-correlation between the secondary’s libration amplitude and the orbit eccentricity. The (65803) Didymos system is taken as an example to show the results.


2012 ◽  
Vol 73 ◽  
pp. 237-249 ◽  
Author(s):  
David C. Folta ◽  
Mark Woodard ◽  
Kathleen Howell ◽  
Chris Patterson ◽  
Wayne Schlei

Author(s):  
Zhong-Sheng Wang ◽  
John McVicker ◽  
Paul Anderson ◽  
Tess Doeffinger ◽  
Robert Hook ◽  
...  

2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Donghun Lee ◽  
Young-Joo Song

This paper considers a planar orbit transfer trajectory design problem using finite thrust modeling. In this problem, the steering angles associated with the thrust direction are calculated from the predetermined profile format, and the unknown parameters in the profile are directly optimized. Three profile formats that were implemented in previous lunar exploration missions are considered. In addition, a steering angle profile defined in the rotating frame and the optimal steering angle profile are newly studied to compare the performances. To this end, the direct parameter optimization problem and the indirect optimization problem are formulated, and the characteristics of the steering angle profile and its influence on the transfer trajectory are analyzed.


2021 ◽  
Vol 44 (1) ◽  
pp. 57-74
Author(s):  
Francesco Torre ◽  
Stuart Grey ◽  
Massimiliano Vasile

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