Main Property of the Jacobi Integral for Gravity Assist Maneuvers in the Solar System
- Authors: Golubev Y.F.1, Grushevskii A.V.1, Kiseleva I.P.1, Koryanov V.V.1, Tuchin A.G.1, Tuchin D.A.1
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Affiliations:
- Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
- Issue: Vol 53, No 6 (2019)
- Pages: 473-480
- Section: Article
- URL: https://journal-vniispk.ru/0038-0946/article/view/171421
- DOI: https://doi.org/10.1134/S0038094619060029
- ID: 171421
Cite item
Abstract
In the context of the circular restricted three-body problem (RTBP), the search for the spacecraft’s asymptotic velocity \({{V}_{\infty }}\) for gravity assist maneuvers (GMs) can be performed using the Jacobi integral \(J\) and the main property of the Jacobi integral constant for GMs, \({\text{const}} = J \approx 3 - V_{\infty }^{2}.\) It is shown in the paper that the standard cumbersome way of traditional derivation of this property that is used in modern astrodynamics can be significantly simplified.
About the authors
Yu. F. Golubev
Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
Author for correspondence.
Email: golubev@keldysh.ru
Russian Federation, Moscow
A. V. Grushevskii
Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
Author for correspondence.
Email: alexgrush@rambler.ru
Russian Federation, Moscow
I. P. Kiseleva
Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
Email: den@kiam1.rssi.ru
Russian Federation, Moscow
V. V. Koryanov
Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
Author for correspondence.
Email: korianov@keldysh.ru
Russian Federation, Moscow
A. G. Tuchin
Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
Author for correspondence.
Email: tag@kiam1.rssi.ru
Russian Federation, Moscow
D. A. Tuchin
Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
Author for correspondence.
Email: den@kiam1.rssi.ru
Russian Federation, Moscow
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