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A numerical study for optimal low-thrust limited power transfers between coplanar orbits with small eccentricities
A numerical study of optimal time-fixed low-thrust limited power transfers (no rendezvous), in an inverse-square force field, between coplanar orbits...
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Optimal low-thrust transfers between coplanar orbits with small eccentricities
In this paper, a first-order analytical solution, which includes the short periodic terms, for the problem of optimal time-fixed low-thrust...
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Applications of celestial mechanics in natural objects and spacecrafts
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...
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Celestial mechanics: from the errant stars to guidance of spacecrafts
Celestial mechanics is one of the most ancient science. It is dedicated to the study of the motion of planets, moons, asteroids, comets and other...
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Optimal impulsive transfers between real planetary orbits
This study presents the derivation of the equations necessary to establish a practical method for computing optimal transfers in the real case. It...
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Optimal trajectories between Earth and Mars in their true planetary orbits
The optimal transfers from Earth to Mars and from Mars to Earth, considering the actual planetary orbits, are presented as functions of the...
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Optimal switching in coplanar orbit transfer
The set of all controls that satisfy the Weierstrass necessary condition for optimality in the problem of time-open, coplanar orbit transfer via...
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Symmetric minimum-impulse rendezvous between certain non-coplanar orbits
A three-parameter family of optimal rendezvous maneuvers is investigated, describable as follows: rendezvous is to be accomplished in a specified...