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Gravity assist space pruning based on differential algebra

Gravity assist space pruning based on differential algebra
Gravity assist space pruning based on differential algebra
In this paper a differential algebra version of the gravity assist space pruning algorithm is presented. The use of differential algebraic techniques is proposed to overcome the two main drawbacks of the existing algorithm, i.e., the steep increase of the number of function evaluations with the number of planets involved in the transfer, and the use of a bounding procedure that relies on Lipschitzian tolerances. Differential algebra allows us to process boxes in place of grid points, and to substitute pointwise evaluations of the constraint functions with their Taylor expansions. Thanks to the particular instance of multi-gravity assist problems dealt with, all the planet-to-planet legs can be treated independently, and forward and backward constraining can be applied. The proposed method is applied to preprocess the search space of sample interplanetary transfers and it also serves as a stepping stone towards a fully rigorous treatment of the pruning process based on Taylor models
0923-2958
1-24
Armellin, R.
61950d5c-3dcf-45f5-b391-7e8c6ffb8e6f
Di Lizia, P.
0f45735c-5c72-418f-945d-a5688f10c71e
Topputo, F.
8510e7aa-35bb-44c1-9431-8b9a194735fe
Lavagna, M.
3741b245-5b67-4371-b539-e9ba65e6c862
Bernelli-Zazzera, F.
93fc01c1-dc9e-4758-8cab-8b946e089e3d
Berz, M.
95c4e8a8-e1d9-4ad7-91c6-2832b7a1dd02
Armellin, R.
61950d5c-3dcf-45f5-b391-7e8c6ffb8e6f
Di Lizia, P.
0f45735c-5c72-418f-945d-a5688f10c71e
Topputo, F.
8510e7aa-35bb-44c1-9431-8b9a194735fe
Lavagna, M.
3741b245-5b67-4371-b539-e9ba65e6c862
Bernelli-Zazzera, F.
93fc01c1-dc9e-4758-8cab-8b946e089e3d
Berz, M.
95c4e8a8-e1d9-4ad7-91c6-2832b7a1dd02

Armellin, R., Di Lizia, P., Topputo, F., Lavagna, M., Bernelli-Zazzera, F. and Berz, M. (2010) Gravity assist space pruning based on differential algebra. Celestial Mechanics and Dynamical Astronomy, 106 (1), 1-24.

Record type: Article

Abstract

In this paper a differential algebra version of the gravity assist space pruning algorithm is presented. The use of differential algebraic techniques is proposed to overcome the two main drawbacks of the existing algorithm, i.e., the steep increase of the number of function evaluations with the number of planets involved in the transfer, and the use of a bounding procedure that relies on Lipschitzian tolerances. Differential algebra allows us to process boxes in place of grid points, and to substitute pointwise evaluations of the constraint functions with their Taylor expansions. Thanks to the particular instance of multi-gravity assist problems dealt with, all the planet-to-planet legs can be treated independently, and forward and backward constraining can be applied. The proposed method is applied to preprocess the search space of sample interplanetary transfers and it also serves as a stepping stone towards a fully rigorous treatment of the pruning process based on Taylor models

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More information

Published date: 2010
Organisations: Aeronautics, Astronautics & Comp. Eng

Identifiers

Local EPrints ID: 360604
URI: https://eprints.soton.ac.uk/id/eprint/360604
ISSN: 0923-2958
PURE UUID: 66f4d14f-3691-49b8-81f9-4270e7696393

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Date deposited: 16 Dec 2013 13:27
Last modified: 12 Oct 2017 05:04

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Contributors

Author: R. Armellin
Author: P. Di Lizia
Author: F. Topputo
Author: M. Lavagna
Author: F. Bernelli-Zazzera
Author: M. Berz

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