Trajectory design in the circular restricted three-body problem using artificial invariant manifolds

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper generalizes the invariant manifolds of unstable libration point orbits through the application of continuous thrust. Considering Jacobi constant of the end of invariant manifolds, an artificial periodic orbit around a libration point realizes heteroclinic connections between itself and an unforced periodic orbit with same Jacobi constant of the end of invariant manifolds. Heteroclinic connections between libration point orbits are constructed by detecting intersections of states of manifolds on the Poincaré map. We reveal low-energy spacecraft can transfer to some periodic orbits with different Jacobi constant. In addition, this paper defines New Jacobi constant of low-thrust spacecraft. By utilizing new Jacobi constant, we illustrate zero-velocity curves of low-thrust spacecraft and reveal that there is a crack of zero-velocity curves and spacecraft can pass the crack.

Original languageEnglish
Title of host publicationSpaceflight Mechanics 2019
EditorsFrancesco Topputo, Andrew J. Sinclair, Matthew P. Wilkins, Renato Zanetti
PublisherUnivelt Inc.
Pages1235-1254
Number of pages20
ISBN (Print)9780877036593
Publication statusPublished - Jan 1 2019
Event29th AAS/AIAA Space Flight Mechanics Meeting, 2019 - Maui, United States
Duration: Jan 13 2019Jan 17 2019

Publication series

NameAdvances in the Astronautical Sciences
Volume168
ISSN (Print)0065-3438

Conference

Conference29th AAS/AIAA Space Flight Mechanics Meeting, 2019
CountryUnited States
CityMaui
Period1/13/191/17/19

Fingerprint

three body problem
Orbits
spacecraft
trajectory
Trajectories
trajectories
Spacecraft
libration
orbits
thrust
low thrust
crack
cracks
Cracks
curves
intersections
energy

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Space and Planetary Science

Cite this

Oshima, Y., Bando, M., & Hokamoto, S. (2019). Trajectory design in the circular restricted three-body problem using artificial invariant manifolds. In F. Topputo, A. J. Sinclair, M. P. Wilkins, & R. Zanetti (Eds.), Spaceflight Mechanics 2019 (pp. 1235-1254). [AAS 19-396] (Advances in the Astronautical Sciences; Vol. 168). Univelt Inc..

Trajectory design in the circular restricted three-body problem using artificial invariant manifolds. / Oshima, Yuki; Bando, Mai; Hokamoto, Shinji.

Spaceflight Mechanics 2019. ed. / Francesco Topputo; Andrew J. Sinclair; Matthew P. Wilkins; Renato Zanetti. Univelt Inc., 2019. p. 1235-1254 AAS 19-396 (Advances in the Astronautical Sciences; Vol. 168).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Oshima, Y, Bando, M & Hokamoto, S 2019, Trajectory design in the circular restricted three-body problem using artificial invariant manifolds. in F Topputo, AJ Sinclair, MP Wilkins & R Zanetti (eds), Spaceflight Mechanics 2019., AAS 19-396, Advances in the Astronautical Sciences, vol. 168, Univelt Inc., pp. 1235-1254, 29th AAS/AIAA Space Flight Mechanics Meeting, 2019, Maui, United States, 1/13/19.
Oshima Y, Bando M, Hokamoto S. Trajectory design in the circular restricted three-body problem using artificial invariant manifolds. In Topputo F, Sinclair AJ, Wilkins MP, Zanetti R, editors, Spaceflight Mechanics 2019. Univelt Inc. 2019. p. 1235-1254. AAS 19-396. (Advances in the Astronautical Sciences).
Oshima, Yuki ; Bando, Mai ; Hokamoto, Shinji. / Trajectory design in the circular restricted three-body problem using artificial invariant manifolds. Spaceflight Mechanics 2019. editor / Francesco Topputo ; Andrew J. Sinclair ; Matthew P. Wilkins ; Renato Zanetti. Univelt Inc., 2019. pp. 1235-1254 (Advances in the Astronautical Sciences).
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