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[PDF] Top 20 Solar sail equilibria in the elliptical restricted three-body problem

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Solar sail equilibria in the elliptical restricted three-body problem

Solar sail equilibria in the elliptical restricted three-body problem

... artificial equilibria for solar sails in the elliptical restricted three-body ...in three-dimensional space, in a non-uniformly rotating, pulsating coordinate ... See full document

27

Solar sail orbits at the Earth-Moon libration points

Solar sail orbits at the Earth-Moon libration points

... the sail is pitched from γ = 0 at t = 0, the motion of the sail is of the form of periodic oscillations at an out-of plane given ...the sail remains at this fixed ...the restricted ... See full document

11

New periodic orbits in the solar sail three-body problem

New periodic orbits in the solar sail three-body problem

... The characteristic equation of the Jacobian A is bi-cubic (whose cor- responding cubic equation has real roots); this means the eigenvalues of A are either in pairs of pure imaginary conjugates or real and of opposite ... See full document

12

Solar sail dynamics in the three-body problem: homoclinic paths of points and orbits

Solar sail dynamics in the three-body problem: homoclinic paths of points and orbits

... the problem and the equations of motion of the solar sail, as well as the equilibrium ...of equilibria and periodic ...with equilibria and pe- riodic orbits which have no analogue in ... See full document

13

Stabilizing periodic orbits above the elliptic plane in the solar sail 3-body problem

Stabilizing periodic orbits above the elliptic plane in the solar sail 3-body problem

... Elliptic Restricted Three-Body Problem where the third massless body is a solar ...the sail to ...the solar sails ...term’ solar sail is capable of ... See full document

7

Extension of Earth-Moon libration point orbits with solar sail propulsion

Extension of Earth-Moon libration point orbits with solar sail propulsion

... circular restricted three-body problem with a solar ...the solar sail induced acceleration, families of Lyapunov, halo, ver- tical Lyapunov, Earth-centred, and distant ... See full document

20

Displaced periodic orbits with low-thrust propulsion

Displaced periodic orbits with low-thrust propulsion

... and solar electric technology provide alternative forms of space- craft ...as solar system exploration and deep space ...circular restricted three-body problem (CRTBP), where the ... See full document

15

Stabilization of displaced periodic orbits in the solar sail restricted three-body system

Stabilization of displaced periodic orbits in the solar sail restricted three-body system

... Outline Solar Sails • Sail Design - Practical Goal Earth-Moon Restricted Three-Body Problem • System Model - Equations of Motion of the Hybrid Sail • Linearized System • Conditions for t[r] ... See full document

53

New periodic orbits in the solar sail restricted three body problem

New periodic orbits in the solar sail restricted three body problem

... The characteristic equation of the Jacobian A is bi-cubic (whose cor- responding cubic equation has real roots); this means the eigenvalues of A are either in pairs of pure imaginary conjugates or real and of opposite ... See full document

11

Solar Sail Equilibrium Orbits in the Circular Restricted Three Body Problem with Oblateness

Solar Sail Equilibrium Orbits in the Circular Restricted Three Body Problem with Oblateness

... The restricted three-body problem with the larger primary a source of radiation and the smaller primary an ob- late spheroid is ...circular restricted three-body ... See full document

10

Solar sail formation flying for deep-space remote sensing

Solar sail formation flying for deep-space remote sensing

... term solar sail with β = ...artificial equilibria above the ecliptic for different values of β are given for the case of the solar sail circular (e = 0) restricted three ... See full document

16

Invariant manifolds and orbit control in the solar sail three-body problem

Invariant manifolds and orbit control in the solar sail three-body problem

... of solar sails. In particular, the solar sail in the setting of the circular restricted 3-body problem (CR3BP) has produced new and interesting families of orbits which are ... See full document

15

Stability of the Sitnikov's circular restricted three body problem when the primaries are oblate spheroid

Stability of the Sitnikov's circular restricted three body problem when the primaries are oblate spheroid

... L . The existence of such a family offers the opportunity to study the stability of bifurcations of one-dimensional motions under perturbations in two additional dimensions which tends to take the moving particle ... See full document

8

Halo Orbits in the Photo Gravitational Restricted Three Body Problem

Halo Orbits in the Photo Gravitational Restricted Three Body Problem

... Differential Correction (DC) schemes use the STM for targeting purposes. One application is the iterative process to isolate a trajectory arc that connects two points in solution space. Differential Correction techniques ... See full document

18

Restricted Three Body Problem with Stokes Drag Effect

Restricted Three Body Problem with Stokes Drag Effect

... Two finite masses, called primaries, are moving in circular orbits around their common centre of mass, and an infinitesimal mass is moving in the plane of motion of the primaries. To study the motion of the infinitesimal ... See full document

11

Energy of Sitnikov's restricted three body problem if the primaries are source of radiation and triaxial rigid bodies

Energy of Sitnikov's restricted three body problem if the primaries are source of radiation and triaxial rigid bodies

... Sitnikov's restricted three body problem when the primaries are sources of ...third body and total energy of the ...Sitnikov's restricted problem of three bodies ... See full document

6

Chaos in Planar, Circular, Restricted Three Body Problem

Chaos in Planar, Circular, Restricted Three Body Problem

... where   4 7 (to give a concrete example, we will concentrate on this specific resonance; one can investi- gate other resonances using the same approach—no special tailoring required). We investigate the motion of a ... See full document

6

Existence of Libration Points in the Photogravitational Elliptic Restricted Three Body Problem

Existence of Libration Points in the Photogravitational Elliptic Restricted Three Body Problem

... ABSTRACT: In this paper we study the effects of eccentricity, oblateness and effects due to radiation pressure on the location of Lagrangian equilibrium points of the elliptical restricted three ... See full document

12

Small-body encounters using solar sail propulsion

Small-body encounters using solar sail propulsion

... The ESA spacecraft, Rosetta is an ESA Horizon (2000) corner- stone mission. The objective of this mission was to rendezvous with the SPC 46P/Wirtanen. This opportunity has been missed, and a new target of ... See full document

11

Formulation of the Post Newtonian Equations of Motion of the Restricted Three Body Problem

Formulation of the Post Newtonian Equations of Motion of the Restricted Three Body Problem

... An explicit form of the potential-like function of the rela- tivistic restricted three-body problem is derived. Equa- tions (65) to (68) represent the equations of motion of the relativistic ... See full document

10

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