Uploaded April 2017 | Updated September 2026, 1 week ago
Visualization of a spacecraft trajectory for a mission of exploration to 17 asteroids flying in the vicinity of Earth's orbit.
The Earth is seen here in blue, and the spacecraft as a red cross. A trail remains behind the spacecraft, showing it's path over the preceding year. White portions of this trail correspond to rendezvous legs (spacecraft is flying towards a new asteroid), and red ones to self-fly-by legs (spacecraft is flying in the asteroid's vicinity, to launch a "penetrator" towards it). The dotted lines on the plots correspond to the Earth's values: a distance of 1 AU to the Sun, and 0 degrees declination, respectively.
This trajectory constitutes a Lambert model solution to the trajectory design problem defined in GTOC5, the 5th edition of the Global Trajectory Optimization Competition. It was assembled in the research project described in the paper:
Simões L.F., Izzo D., Haasdijk E., Eiben A.E. (2017) Multi-rendezvous Spacecraft Trajectory Optimization with Beam P-ACO. In: Hu B., López-Ibáñez M. (eds) Evolutionary Computation in Combinatorial Optimization. EvoCOP 2017. Lecture Notes in Computer Science, vol 10197. Springer, Cham
- arxiv.org/abs/1704.00702
- Code available at github.com/lfsimoes/beam_paco__gtoc5
GTOC5 trajectory design problem:
- https://sophia.estec.esa.int/gtoc_portal/?page_id=25
- dx.doi.org/10.2420/ACT-BOK-AF08
Video created by Luís F. Simões, with support from FCT (Ministério da Ciência e Tecnologia) Fellowship SFRH/BD/84381/2012.
Soundtrack (CC BY 4.0):
Frédéric Chopin, Waltz in C-sharp minor, Op. 64 No. 2, Harald Vetter (Piano)
imslp.org/wiki/Special:ReverseLookup/456980
(celestial bodies not shown to scale)
Visualization of a spacecraft trajectory for a mission of exploration to 17 asteroids flying in the vicinity of Earth's orbit.
The Earth is seen here in blue, and the spacecraft as a red cross. A trail remains behind the spacecraft, showing it's path over the preceding year. White portions of this trail correspond to rendezvous legs (spacecraft is flying towards a new asteroid), and red ones to self-fly-by legs (spacecraft is flying in the asteroid's vicinity, to launch a "penetrator" towards it). The dotted lines on the plots correspond to the Earth's values: a distance of 1 AU to the Sun, and 0 degrees declination, respectively.
This trajectory constitutes a Lambert model solution to the trajectory design problem defined in GTOC5, the 5th edition of the Global Trajectory Optimization Competition. It was assembled in the research project described in the paper:
Simões L.F., Izzo D., Haasdijk E., Eiben A.E. (2017) Multi-rendezvous Spacecraft Trajectory Optimization with Beam P-ACO. In: Hu B., López-Ibáñez M. (eds) Evolutionary Computation in Combinatorial Optimization. EvoCOP 2017. Lecture Notes in Computer Science, vol 10197. Springer, Cham
- arxiv.org/abs/1704.00702
- Code available at github.com/lfsimoes/beam_paco__gtoc5
GTOC5 trajectory design problem:
- https://sophia.estec.esa.int/gtoc_portal/?page_id=25
- dx.doi.org/10.2420/ACT-BOK-AF08
Video created by Luís F. Simões, with support from FCT (Ministério da Ciência e Tecnologia) Fellowship SFRH/BD/84381/2012.
Soundtrack (CC BY 4.0):
Frédéric Chopin, Waltz in C-sharp minor, Op. 64 No. 2, Harald Vetter (Piano)
imslp.org/wiki/Special:ReverseLookup/456980
(celestial bodies not shown to scale)










