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Sharaf, M. A.; Saad, A. S.; Sharaf, Amr A.

doi:10.1023/a:1008339612666

Cited by 4 publications

(3 citation statements)

References 3 publications

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“…The first algorithm uses unified Gauss method for quasi-parabolic orbits recently developed by Sharaf et al [3] (hereafter referred to as Paper I0. What concerns us in the present paper among the formulations of Paper I are the following…”

Section: Unified Gauss Methodsmentioning

confidence: 99%

Ephemerides for Visual Binaries of Quasi - Parabolic Orbits

Sharaf¹,

Malwi²

2000

sci

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Section: Unified Gauss Methodsmentioning

confidence: 99%

Ephemerides for Visual Binaries of Quasi - Parabolic Orbits

Sharaf¹,

Malwi²

2000

sci

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“…Thus, to minimize fuel consumption in the acceleration ∆v [as in (Sharaf & Saad 2016)], the present article considers the methods proposed in Leeghim (2013), which are variations of the Lambert problem, with neither direction of motion in a plane nor the time t of the transfer at the beginning given; both are calculated. Another difference of our approach is the obtainment of the wait time t 1 (Vallado 1997), where the interceptor does not leave its initial orbit until the relative positions of the bodies are convenient.…”

Section: Introductionmentioning

confidence: 99%

Minimizing Fuel Consumption in Orbit Transfers Using Universal Variable and Particle Swarm Optimization

Echeverry

Villanueva

2019

RMxAA

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Minimizing fuel consumption in space travels is becoming increasingly important for spatial development. In the present paper, the fuel consumption in orbit transfers (without gravitational assistance) is minimized, where a spacecraft performs a change from an orbit around the Earth to another one around a different celestial body. Two methods are presented: one of immediate transfer and another with wait time. Minimizing is done by solving a nonlinear system, obtained by applying Lagrange multipliers to the equation modelling the keplerian system, and using the seeds coming from the particle swarm algorithm to execute the Newton’s method. Numerical simulations with real values were made to compare these methods with the Hohmann transfer and data from the specialized literature.

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“…A great effort has been devoted up to now, and is being devoted at present to develop symbolic computing algorithms for some problems of astrodynamics as well as astrophysics (e.g. Sharaf and Saad 1997, Sharaf et al 1998, Sharaf 2005, Sharaf 2008, Sharaf and Sendi 2011, Sharaf et al 2012, Sharaf and Saad 2013.…”

Section: Introductionmentioning

confidence: 99%

Universal symbolic expression for radial distance of conic motion

2014

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In the present paper, a universal symbolic expression for radial distance of conic motion in recursive power series form is developed. The importance of this analytical power series representation is that it is invariant under many operations because the result of addition, multiplication, exponentiation, integration, differentiation, etc. of a power series is also a power series. This is the fact that provides excellent flexibility in dealing with analytical, as well as computational developments of problems related to radial distance. For computational developments, a full recursive algorithm is developed for the series coefficients. An efficient method using the continued fraction theory is provided for series evolution, and two devices are proposed to secure the convergence when the time interval (t ? t0) is large. In addition, the algorithm does not need the solution of Kepler?s equation and its variants for parabolic and hyperbolic orbits. Numerical applications of the algorithm are given for three orbits of different eccentricities; the results showed that it is accurate for any conic motion.

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Untitled

Cited by 4 publications

References 3 publications

Ephemerides for Visual Binaries of Quasi - Parabolic Orbits

Ephemerides for Visual Binaries of Quasi - Parabolic Orbits

Minimizing Fuel Consumption in Orbit Transfers Using Universal Variable and Particle Swarm Optimization

Universal symbolic expression for radial distance of conic motion

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