[HTML][HTML] An analytical theory for avoidance collision between space debris and operating satellites in LEO

YA Abdel-Aziz - Applied Mathematical Modelling, 2013 - Elsevier
This paper provides a Hamiltonian formulation of equations of motion of an artificial satellite
or space debris moving in Low Earth orbit (LEO). This Hamiltonian is the base to develop an …

[PDF][PDF] Analysis of close approach and collision probability between operational satellites and/or space debris

MG Halawa, Y Abdel-Aziz, M Youssef - INCAS Bulletin, 2020 - researchgate.net
In recent years, the number of space debris has increased significantly, which can threaten
the safety of operational satellites. In this paper we developed an accurate model for active …

[PDF][PDF] Space evasive maneuvers: what is the viable technological parameters? 15

D dos Anjos Costa, ADC de Jesus - Brazilian Journal of …, 2022 - scholar.archive.org
Space Debris (SD) is the by-product of space missions and Earth's gravitational capture in
the dynamics of the Solar System. Their accumulation in this environment constitutes a real …

The space debris problem: collision risk assessment for perturbed orbits via rigorous global optimization

A MORSELLI - 2009 - politesi.polimi.it
Since the launch of the Sputnik in 1957, more than 6,000 spacecraft were launched into
space. Some of them have re-entered in the atmosphere, but the large majority is still …

Asymptotic ordination of artificial satellite Hamiltonian

S Serrano - Applied mathematics and computation, 2009 - Elsevier
Spatial Agencies' projects for future artificial satellites continue to grow in number and
complexity. These projects need the development of analytical theories in order to place the …