scholarly journals Spacecraft pulsed flights trajectories with the stages jettison into the atmosphere and phase restriction (part II)

Author(s):  
I.S. Grigoriev ◽  
A.I Proskuryakov

The paper considers the idea of reducing near-Earth space debris by discarding expended stages into the Earth’s atmosphere. The problem of optimizing the pulsed flight between the reference circular orbit of an artificial Earth satellite and the target elliptical orbit with a phase restriction on the maximum distance of the spacecraft from the Earth has been solved. Derivatives under the transversality of Lagrange principle in the process of solving are calculated by means of a specially developed technology of numerical-analytical differentiation. The first part of the paper introduces the statement and formalization of the problem. The second part of the paper studies the conditions for the optimality of Lagrange principle, analyses them and compares the findings obtained with the previously known results.

Author(s):  
I.S. Grigoriev ◽  
A.I Proskuryakov

The paper considers the reducing of the near-Earth space debris due to the stages discharge into the Earth’s atmosphere, introduces the solution for optimizing the impulse transfer between the artificial Earth satellite reference circular orbit and the target elliptical orbit with a phase constraint on the maximum distance of the spacecraft from the Earth. A specially developed numerical-analytical differentiation technology allows us to calculate derivatives under the transversality of Lagrange principle. The paper proposes the transversality and stationarity conditions analysis, which results in the conclusion that the Beletsky — Egorov — Pines integral, and the Hamiltonian are continuous in the moments of all intermediate impulse actions application, including the stage discharge moments. The paper shows that the problem solution for various flight schemes coincides with a similar one without a priori assumption about the impulse effects apsidal nature.


Author(s):  
I.S. Grigoryev ◽  
A.I Proskuryakov

The article considers the idea of reducing littering the near-Earth space by means of spent stage jettisons into the Earth's atmosphere. A solution to the problem of optimization of the apsidal impulse transfer between the reference circular orbit of an Earth’s artificial satellite and the final elliptical orbit is proposed. A parametric analysis of the obtained solutions is performed, a simple pulse choice scheme close in functionality to the optimal one is proposed. Questions about the optimal number and location of pulses and the optimal mass of the first stage are investigated. An assessment of the additional mass consumption associated with the stage jettisons into the atmosphere comparing with the simple separation of the stages is performed. It was found that in the case of optimal fuel distribution among the tanks such mass consumption is small when a final ascent pulse is 1.5 km/s.


10.12737/2412 ◽  
2013 ◽  
Vol 4 (4) ◽  
pp. 3-15
Author(s):  
Михаил Бурдаев ◽  
Mikhail Burdaev

The paper reveals the maneuver entity of reposition artificial satellite on a circular orbit with a supporting acceleration. A maneuver program implementation with using of constant thrust motors is found and proved. An energy efficiency of maneuver under various conditions of its implementation is determined


2012 ◽  
Vol 10 (H16) ◽  
pp. 486-487
Author(s):  
A. Shulga ◽  
Y. Kozyryev ◽  
Y. Sybiryakova ◽  
Z. Tang ◽  
Y. Mao ◽  
...  

AbstractThe joint observations of space debris are conducted by NAO and SHAO. The main task of observations is precise estimation of the hazard collisions of SD with operating satellites. Observations of the near earth asteroids (NEA) on the distance of less than 0.05 AU, according to the NEODyS program, are conducted in NAO. The main task is to obtain the large number of precise observations of the NEAs during their closest approach to the Earth.


Nature ◽  
1957 ◽  
Vol 180 (4589) ◽  
pp. 734-734

Soundings ◽  
2021 ◽  
Vol 78 (78) ◽  
pp. 81-85
Author(s):  
Susmita Mohanty

Space debris has reached alarming proportions and is growing at a frightening pace, because of the expanding number of satellites circulating in Low Earth Orbit (LEO), designed to increase global Internet coverage and provide earth observation data. LEO satellites are now being launched in mega-constellations, including by Elon Musk's company SpaceX. It is time to completely overhaul the 1967 Outer Space Treaty, which was not designed to deal with current problems. The COP forum should therefore include the near-earth environment within its concept of the earth's climate, enabling the UN to acknowledge, as a collective, the growing menace of human-made debris in near-earth space, and, in partnership with the UN-Outer Space Affairs Office (UN-OOSA), call for a new declaration on LEO.


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