We extend to the spatial case a technique of integration of the close encounters formulated by Tullio Levi-Civita for the planar restricted three-body problem. We consider the Hamiltonian introduced in the Kustaanheimo-Stiefel regularization and construct a complete integral of the related Hamilton-Jacobi equation by means of a series convergent in a neighborhood of the collisions with the primary or secondary body.
Integrability of close encounters in the spatial restricted three-body problem
Cardin F.;Guzzo M.
2022
Abstract
We extend to the spatial case a technique of integration of the close encounters formulated by Tullio Levi-Civita for the planar restricted three-body problem. We consider the Hamiltonian introduced in the Kustaanheimo-Stiefel regularization and construct a complete integral of the related Hamilton-Jacobi equation by means of a series convergent in a neighborhood of the collisions with the primary or secondary body.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
1809.01257.pdf
accesso aperto
Tipologia:
Preprint (submitted version)
Licenza:
Altro
Dimensione
326.11 kB
Formato
Adobe PDF
|
326.11 kB | Adobe PDF | Visualizza/Apri |
|
cg21-dedication.pdf
accesso aperto
Tipologia:
Postprint (accepted version)
Licenza:
Accesso libero
Dimensione
390 kB
Formato
Adobe PDF
|
390 kB | Adobe PDF | Visualizza/Apri |
|
cardin-guzzo-2021-integrability-of-close-encounters-in-the-spatial-restricted-three-body-problem.pdf
Accesso riservato
Tipologia:
Published (publisher's version)
Licenza:
Accesso privato - non pubblico
Dimensione
472.84 kB
Formato
Adobe PDF
|
472.84 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
