Studying Close Approaches for a Cloud of Particles Considering Atmospheric Drag

Gomes, Vivian Martins; Formiga, Jorge Kennety Silva; Moraes, Rodolpho Vilhena de

doi:10.1155/2013/468624

Cited by 4 publications

(2 citation statements)

References 21 publications

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“…Recent examples of missions using Swing-Bys are Messenger and BepiColombo, both of them having the planet Mercury as a target (see McNutt et al [30,31], Grard [32] and Jehn et al [33]). There are also studies considering clouds of particles, instead of a single particle, as shown in references [34][35][36].…”

Section: Literature Reviewmentioning

confidence: 99%

A numerical mapping of energy gains in a powered Swing-By maneuver

2017

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The present paper studies the effects of a powered Swing-By maneuver, considering the particular and important situations where there are energy gains for the spacecraft. The objective is to map the energy variations obtained from this maneuver as a function of the three parameters that identify the pure gravity Swing-By with a fixed mass ratio (angle of approach, periapsis distance and velocity at periapsis) and the three parameters that define the impulsive maneuver (direction, magnitude and the point where the impulse is applied). The mathematical model used here is the version of the restricted three-body problem that includes the Lemaître regularization, to increase the accuracy of the numerical integrations. It is developed and implemented by an algorithm that obtains the energy variation of the spacecraft with respect to the largest primary of the system in a maneuver where the impulse is applied inside the sphere of influence of the secondary body, during the passage of the spacecraft. The point of application of the impulse is a free parameter, as well as the direction of the impulse. The results

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Section: Literature Reviewmentioning

confidence: 99%

A numerical mapping of energy gains in a powered Swing-By maneuver

2017

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“…The literature is very reach in topics related to this field, starting from basic impulsive maneuvers (Roth 1967;Prussing 1970Prussing , 1969Eckel 1963;Hohmann 1925;Smith 1959;Bender 1962;Jin and Melton 1991;Jezewski and Mittleman 1982;Hoelker and Silber Hoelker and Silber;Shternfeld 1959;Gross and Prussing 1974;Eckel 1982;Prussing and Chiu 1986;Ting 1960;Walton et al 1975). Then, it goes to orbital maneuvers based in low thrust (Casalino and Colasurdo 2002;Casalino et al 1999;Brophy and Noca 1998;Zee 1963;Lion and Handelsman 1968;Prado 2007, 2008;Macau 2000;Macau and Grebogi 2006), swing-by techniques (Flandro 1966;Marsh 1988;Farquhard and Dunham 1981;Prado and Broucke 1995;Prado 2007;Gomes et al 2013;DeMelo et al 2009), and even gravitational capture (Belbruno and Miller 1993;Pierson and Kluever 1994;Neto and Prado 1998). It covers also some more applied concepts, like searches for specific orbits (Chiaradia et al 2003;Carvalho et al 2010;Araujo et al 2012;Domingos et al 2008;D'Amario et al 1982;Farquhar et al 1985;…”

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Applications of celestial mechanics in natural objects and spacecrafts

Gomes

Mello²,

Macau³

et al. 2017

Comp. Appl. Math.

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Studies related to Celestial Mechanics started long ago, and it is one of the oldest fields in Astronomy. It started to try to explain the motions of the stars in the sky, in particular the irregular motion of some of those of then, which were really the planets of the Solar System. In the 20th century, with the arrival of the "Space Age", many applications related to the motion of artificial spacecrafts appeared. This new field was called "Astrodynamics", to designate the use of Celestial Mechanics in man-made objects. Several aspects, like orbit determination, maneuvers to change the orbit of the spacecraft, etc., are covered by this topic. The present Focus Issue in Celestial Mechanics publishes a list of papers in topics related to applications in Celestial Mechanics to both situations: natural and artificial satellites. Keywords Celestial mechanics • Astrodynamics • Orbital dynamics Mathematics Subject Classification 37N05 The science of "Celestial Mechanics" was born to study the motion of the celestial bodies. It started with the observation of the motion of the stars in the night sky, which has been made probable, since the first form of humans was able to understand what they could see in the sky. The time and the evolution of technology improved our knowledge in Celestial Mechanics. A major series of steps were made in the years near 1600. Tycho Brahe (1546-1601) made accurate observations of the motion of the stars which moved against the fixed ones. Those data were than studied by Johannes Kepler (1571-1630), which made the important "Three Laws of Kepler" of the orbital motion: 1. The orbit of each planet is an ellipse with the Sun occupying one of the focus.

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Powered aero-gravity-assist maneuvers considering lift and drag around the Earth

Piñeros

Prado

2017

Astrophys Space Sci

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Studying Close Approaches for a Cloud of Particles Considering Atmospheric Drag

Cited by 4 publications

References 21 publications

A numerical mapping of energy gains in a powered Swing-By maneuver

A numerical mapping of energy gains in a powered Swing-By maneuver

Applications of celestial mechanics in natural objects and spacecrafts

Powered aero-gravity-assist maneuvers considering lift and drag around the Earth

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