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[PDF] Top 20 Stabilizing periodic orbits above the elliptic plane in the solar sail 3-body problem

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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

... consider periodic orbits high above the ecliptic plane in the Elliptic Restricted Three-Body Problem where the third massless body is a solar ...sail. ... See full document

7

Solar sail Lyapunov and halo orbits in the Earth-Moon three-body problem

Solar sail Lyapunov and halo orbits in the Earth-Moon three-body problem

... three- body problem, while little research has been conducted to investigate the potential of solar sailing in the Earth-Moon three-body ...find solar sail periodic ... See full document

18

New periodic orbits in the solar sail restricted three body problem

New periodic orbits in the solar sail restricted three body problem

... We follow the conventions set out in McInnes. 1 We consider a rotating coor- dinate system in which the primary masses are fixed on the x-axis with the origin at the centre of mass, the z-axis is the axis of rotation and ... See full document

11

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

... system’s periodic orbits and invariant ...of solar sails in the ...describe periodic orbits about equilibrium points in the solar sail three body problem, ... See full document

13

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

... three-body problem (RTBP) has been considered a basic dynamic model ever since the scien- tists have studied the solar sail [12] ...tellite, solar sail or asteroid, moving under ... See full document

10

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 distance. It was found ... See full document

11

Control of Lagrange point orbits using solar sail propulsion

Control of Lagrange point orbits using solar sail propulsion

... utilises solar radiation pressure to provide a useful thrust. The sail is a thin reflective film with a thickness of order 2 μm, with a large reflective area in order to intercept a flux of ...of ... See full document

11

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 ... See full document

15

Solar Radiation Pressure Effects on Stability of Periodic Orbits in Restricted Four Body Problem

Solar Radiation Pressure Effects on Stability of Periodic Orbits in Restricted Four Body Problem

... four-body problem was studied, obtained a first integral of motion with the help of the Hamiltonian structure, and showed the existence of periodic solutions by different methods in the planar case ... See full document

14

Solar sail heliocentric Earth-following orbits

Solar sail heliocentric Earth-following orbits

... Solar sail technology development is rapidly gaining momentum after recent successes such as JAXA’s IKAROS mission [1] and NASA’s NanoSail-D2 mission ...new solar sail initiatives, such as ... See full document

19

Solar sail formation flying for deep-space remote sensing

Solar sail formation flying for deep-space remote sensing

... term solar sail with β = ...McInnes 3 a plot of the artificial equilibria above the ecliptic for different values of β are given for the case of the solar sail circular (e = 0) ... See full document

16

New periodic orbits in the solar sail three-body problem

New periodic orbits in the solar sail three-body problem

... dinate system in which the primary masses are fixed on the x-axis with the origin at the centre of mass, the z-axis is the axis of rotation and the y-axis completes the triad. We choose our units to set the gravitational ... See full document

12

Solar sail periodic orbits in the Earth-Moon three-body problem

Solar sail periodic orbits in the Earth-Moon three-body problem

... for solar sail periodic orbits ...of solar sail periodic orbits, which is demonstrated in this section by investigating an alternative initial condition for the ... See full document

11

Feedback stabilization of displaced periodic orbits : applications to binary asteroids

Feedback stabilization of displaced periodic orbits : applications to binary asteroids

... displaced periodic orbits at linear order in the circular restricted Earth- Moon system, where the third massless body utilizes a hybrid of solar sail and a solar electric ... See full document

16

Control of solar sail periodic orbits in the elliptic three-body problem

Control of solar sail periodic orbits in the elliptic three-body problem

... (0) = −0.00000003900302 f (0) = 0, γ = 0.809196, δ = 0. We note that this periodic orbit is unstable and will require active control to stabilize the solar sail on the orbit. This active control will ... See full document

6

Periodic orbits high above the ecliptic plane in the solar sail 3-body problem

Periodic orbits high above the ecliptic plane in the solar sail 3-body problem

... Solar Sails 3 Body Equations and Equilibria Periodic Solutions Outline 1 Solar Sails Sail design 2 3 Body Equations and Equilibria Classical equilibria - the Lagrange points Sail equilib[r] ... See full document

37

Solutions of the Sitnikov's circular restricted three body problems when primaries are oblate spheroid

Solutions of the Sitnikov's circular restricted three body problems when primaries are oblate spheroid

... three body problem has two primaries of equal masses and these two moving in (i) circular orbits and (ii) elliptic orbits around their center of ...third body (infinitesimal ... See full document

8

New families of Sun-centred non-Keplerian orbits over cylinders and spheres

New families of Sun-centred non-Keplerian orbits over cylinders and spheres

... constrained orbits allow for some interesting solar observations. The orbits that cover the poles of the spherical surface, such as the orbits in Figure 22a and d and Figure 24b and d, would ... See full document

38

Solar sail equilibria in the elliptical restricted three-body problem

Solar sail equilibria in the elliptical restricted three-body problem

... system plane, while the out-of-plane coordinate remains ...three-body problem. This is a key finding since out-of-plane equilibria in the Earth-Sun three- body system have been ... See full document

27

Periodic Solution of the restricted three body problem

Periodic Solution of the restricted three body problem

... two body problem, Poincare [1] classified three kinds of periodic solutions of the restricted three body ...called periodic solution of Poincare ... See full document

8

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