This research focuse<span style="font-family:Verdana;">s</span><span style="font-family:Verdana;"> on multiple facts regard</span><span style="font-family:Verdana;&q...This research focuse<span style="font-family:Verdana;">s</span><span style="font-family:Verdana;"> on multiple facts regard</span><span style="font-family:Verdana;">ing</span><span style="font-family:Verdana;"> the earth gravity and the space mechanism, mainly on the solar systems including the Sun and the planets belonging to it. Our solar system consists of our star, the Sun, and everything bound to it by gravity based on Albert Einstein and Isaac Newton theories. The planets are Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune and Pluto</span><span style="font-family:Verdana;">, </span><span style="font-family:Verdana;">dozens of moons, millions of asteroids, Comets and meteoroids </span><span style="font-family:Verdana;">[<a href="#ref1">1</a>]</span><span></span><span><span></span></span><span style="font-family:Verdana;">. Also, </span><span style="font-family:Verdana;">it </span><span style="font-family:Verdana;">will discuss about The Geocentric model and how scientifically proofed that the Earth is not orbiting the sun as it has a fixed position in the universe with the rotation around its axis and the sun is orbiting the Earth in one solar year. The output of the Geocentric model led to that the gravity is a feature generated by the planet itself to be measured reference to the weight granted to the matter.</span>展开更多
This paper deals with the optimization of the transfer trajectory of a solar sail-based spacecraft between circular and coplanar heliocentric orbits.The problem is addressed using both a direct and an indirect approac...This paper deals with the optimization of the transfer trajectory of a solar sail-based spacecraft between circular and coplanar heliocentric orbits.The problem is addressed using both a direct and an indirect approach,while an ideal and an optical force model are used to describe the propulsive acceleration of a flat solar sail.In the direct approach,the total flight time is partitioned into arcs of equal duration,within which the sail attitude is assumed to be constant with respect to an orbital reference frame,and a nonlinear programming solver is used to optimize the transfer trajectory.The aim of the paper is to compare the performance of the two(direct and indirect)approaches in term of optimal(minimum)flight time.In this context,the simulation results show that a direct transcription method using a small number of arcs is sufficient to obtain a good estimate of the global minimum flight time obtained through the classical calculus of variation.展开更多
文摘This research focuse<span style="font-family:Verdana;">s</span><span style="font-family:Verdana;"> on multiple facts regard</span><span style="font-family:Verdana;">ing</span><span style="font-family:Verdana;"> the earth gravity and the space mechanism, mainly on the solar systems including the Sun and the planets belonging to it. Our solar system consists of our star, the Sun, and everything bound to it by gravity based on Albert Einstein and Isaac Newton theories. The planets are Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune and Pluto</span><span style="font-family:Verdana;">, </span><span style="font-family:Verdana;">dozens of moons, millions of asteroids, Comets and meteoroids </span><span style="font-family:Verdana;">[<a href="#ref1">1</a>]</span><span></span><span><span></span></span><span style="font-family:Verdana;">. Also, </span><span style="font-family:Verdana;">it </span><span style="font-family:Verdana;">will discuss about The Geocentric model and how scientifically proofed that the Earth is not orbiting the sun as it has a fixed position in the universe with the rotation around its axis and the sun is orbiting the Earth in one solar year. The output of the Geocentric model led to that the gravity is a feature generated by the planet itself to be measured reference to the weight granted to the matter.</span>
文摘This paper deals with the optimization of the transfer trajectory of a solar sail-based spacecraft between circular and coplanar heliocentric orbits.The problem is addressed using both a direct and an indirect approach,while an ideal and an optical force model are used to describe the propulsive acceleration of a flat solar sail.In the direct approach,the total flight time is partitioned into arcs of equal duration,within which the sail attitude is assumed to be constant with respect to an orbital reference frame,and a nonlinear programming solver is used to optimize the transfer trajectory.The aim of the paper is to compare the performance of the two(direct and indirect)approaches in term of optimal(minimum)flight time.In this context,the simulation results show that a direct transcription method using a small number of arcs is sufficient to obtain a good estimate of the global minimum flight time obtained through the classical calculus of variation.
