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 language | English |
|---|---|
| Title of host publication | Spaceflight Mechanics 2019 |
| Editors | Francesco Topputo, Andrew J. Sinclair, Matthew P. Wilkins, Renato Zanetti |
| Publisher | Univelt Inc. |
| Pages | 1235-1254 |
| Number of pages | 20 |
| ISBN (Print) | 9780877036593 |
| Publication status | Published - Jan 1 2019 |
| Event | 29th AAS/AIAA Space Flight Mechanics Meeting, 2019 - Maui, United States Duration: Jan 13 2019 → Jan 17 2019 |
Publication series
| Name | Advances in the Astronautical Sciences |
|---|---|
| Volume | 168 |
| ISSN (Print) | 0065-3438 |
Conference
| Conference | 29th AAS/AIAA Space Flight Mechanics Meeting, 2019 |
|---|---|
| Country | United States |
| City | Maui |
| Period | 1/13/19 → 1/17/19 |
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All Science Journal Classification (ASJC) codes
- Aerospace Engineering
- Space and Planetary Science
Cite this
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 proceeding › Conference contribution
}
TY - GEN
T1 - Trajectory design in the circular restricted three-body problem using artificial invariant manifolds
AU - Oshima, Yuki
AU - Bando, Mai
AU - Hokamoto, Shinji
PY - 2019/1/1
Y1 - 2019/1/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85072967682&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85072967682&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:85072967682
SN - 9780877036593
T3 - Advances in the Astronautical Sciences
SP - 1235
EP - 1254
BT - Spaceflight Mechanics 2019
A2 - Topputo, Francesco
A2 - Sinclair, Andrew J.
A2 - Wilkins, Matthew P.
A2 - Zanetti, Renato
PB - Univelt Inc.
ER -