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- W2093886395 abstract "a = perturbing acceleration of the dumbbell’s center of mass (c.m.) due to its nonnegligible physical length a2 = nondimensional tether’s mass-geometry coefficient C = Jacobi constant in the Hill problem units D = radius vector of the central body from the origin of modulus D G = gravitational constant H = dumbbell’s angular momentum vector I = dumbbell’s central inertia tensor Is = dumbbell’s moment of inertia about its c.m. J2 = harmonic coefficient of an oblate body k = stability index L = tether’s physical length Li = collinear points (i 1; 2) l = distance between the primaries ‘ = tether’s characteristic length (nondimensional) M,M0 = primaries’ masses m = dumbbell’s total mass mi = dumbbell end (i 1; 2) and tether (i T) masses O; i; j; k = rotating frame; O, origin at M; i, direction from M0 to M; j k i; and k, direction orthogonal to the primaries’ plane Q = rotation matrix relating the synodic and the dumbbell-fixed frames R = radius vector of the c.m. of the dumbbell from the origin of length R Ri = rotation matrix about the axis labeled i (i 1; 2; 3) r = radius vector of the c.m. of the dumbbell from the central body of length r and direction r s = distance of the tether mass element to its c.m. t = time u = unit vector in the direction of the tether’s length ui = unit vectors defining a reference frame attached to the dumbbell (i 1; 2; 3) V = effective potential of the fast-rotating tether problem Vr = potential energy x; y; z = Cartesian coordinates of the dumbbell’s c.m. in the rotating frame Y = external torque Z = effective torque, Z Y d I ! =dt = the same as a when expressed in the Hill problem units" @default.
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- W2093886395 date "2012-01-01" @default.
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- W2093886395 title "Periodic Orbits of a Hill-Tether Problem Originated from Collinear Points" @default.
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- W2093886395 doi "https://doi.org/10.2514/1.53097" @default.
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