Low-cost travels within the Solar system

Alessandra Celletti

La Matematica nella Società e nella Cultura. Rivista dell'Unione Matematica Italiana (2014)

  • Volume: 7, Issue: 2, page 157-180
  • ISSN: 1972-7356

Abstract

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Modern space mission designs are often based on merging advanced notions of Celestial Mechanics and Dynamical Systems theory. In particular, the special configurations known as collinear equilibrium points are used to compute low-energy orbits, which allow us to let the spacecraft travel along natural dynamical routes, without requiring too much fuel consumption (hence minimizing the total cost of the mission). The overall astrodynamical strategy comes over the centuries, thanks to the works of Euler, Lagrange and Conley. Nowadays, several space missions exploit the potentiality of the collinear points, allowing low-cost travels within the Solar system.

How to cite

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Celletti, Alessandra. "Low-cost travels within the Solar system." La Matematica nella Società e nella Cultura. Rivista dell'Unione Matematica Italiana 7.2 (2014): 157-180. <http://eudml.org/doc/290707>.

@article{Celletti2014,
abstract = {Modern space mission designs are often based on merging advanced notions of Celestial Mechanics and Dynamical Systems theory. In particular, the special configurations known as collinear equilibrium points are used to compute low-energy orbits, which allow us to let the spacecraft travel along natural dynamical routes, without requiring too much fuel consumption (hence minimizing the total cost of the mission). The overall astrodynamical strategy comes over the centuries, thanks to the works of Euler, Lagrange and Conley. Nowadays, several space missions exploit the potentiality of the collinear points, allowing low-cost travels within the Solar system.},
author = {Celletti, Alessandra},
journal = {La Matematica nella Società e nella Cultura. Rivista dell'Unione Matematica Italiana},
language = {eng},
month = {8},
number = {2},
pages = {157-180},
publisher = {Unione Matematica Italiana},
title = {Low-cost travels within the Solar system},
url = {http://eudml.org/doc/290707},
volume = {7},
year = {2014},
}

TY - JOUR
AU - Celletti, Alessandra
TI - Low-cost travels within the Solar system
JO - La Matematica nella Società e nella Cultura. Rivista dell'Unione Matematica Italiana
DA - 2014/8//
PB - Unione Matematica Italiana
VL - 7
IS - 2
SP - 157
EP - 180
AB - Modern space mission designs are often based on merging advanced notions of Celestial Mechanics and Dynamical Systems theory. In particular, the special configurations known as collinear equilibrium points are used to compute low-energy orbits, which allow us to let the spacecraft travel along natural dynamical routes, without requiring too much fuel consumption (hence minimizing the total cost of the mission). The overall astrodynamical strategy comes over the centuries, thanks to the works of Euler, Lagrange and Conley. Nowadays, several space missions exploit the potentiality of the collinear points, allowing low-cost travels within the Solar system.
LA - eng
UR - http://eudml.org/doc/290707
ER -

References

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  6. CONLEY, C.C., Isolated Invariant Sets and the Morse Index, CBMS Regional Conference Series in Mathematics38, American Mathematical Society, Rhode Island (1978). Zbl0397.34056MR511133
  7. EULER, L., Considerationes de motu corporum coelestium. Novi commentarii academiae scientiarum Petropolitanae10, 544-558 (1764) (read at Berlin in 1762). See also: Opera Omnia, s. 2, 25, 246-257. 
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