Skip to main content
Go to the home page of the European Commission (opens in new window)
English English
CORDIS - EU research results
CORDIS
Content archived on 2024-05-28

Merging Lie perturbation theory and Taylor Differential algebra to address space debris challenges

Objective

In an increasingly saturated space about the Earth, aerospace engineers confront the mathematical problem of accurately predicting the position of Earth’s artificial satellites. This is required not only for the correct operation of satellites, but also for preserving the integrity of space assets and the services they provide to citizens. Operational satellites are threatened by the possibility of a collision with a defunct satellite, but most probably by the impact with other uncontrolled man-made space objects—all of them commonly called space debris.

The present international concern in space situational awareness (SSA) has produced a renewed interest in analytical and semi-analytical theories for the fast and efficient propagation of catalogs of data. Within this framework, it is widely accepted by experts that perturbation theory based on Lie transforms is the most accurate and efficient method to derive semi-analytical propagators. In a semi-analytical approach, the highest frequencies of the motion are filtered analytically via averaging procedures, allowing the numerical integration of the averaged system to proceed with very long step sizes. Then, the short-period terms can be recovered analytically.

Another fundamental need in SSA is the efficient management of uncertainties that characterize the motion of orbiting objects. To this aim Taylor differential algebraic (DA) and Taylor model (TM) techniques have been transferred in the last decade from beam physics field to astrodynamics. These techniques, by allowing high order expansions of the flow of the dynamics and rigorous estimate of the associated approximation errors, have shown to be a powerful tool for managing uncertainties both in initial conditions and model parameters.

The focus of this project is to merge Lie perturbation theory and DA and TM techniques with the goal of applying the resulting methodology to practical problems in SSA.

Fields of science (EuroSciVoc)

CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.

You need to log in or register to use this function

Topic(s)

Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.

Call for proposal

Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.

FP7-PEOPLE-2013-IEF
See other projects for this call

Funding Scheme

Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.

MC-IEF - Intra-European Fellowships (IEF)

Coordinator

UNIVERSIDAD DE LA RIOJA
EU contribution
€ 230 036,60
Address
AVENIDA DE LA PAZ 93
26006 La Rioja
Spain

See on map

Region
Noreste La Rioja La Rioja
Activity type
Higher or Secondary Education Establishments
Links
Total cost

The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.

No data
My booklet 0 0