Engineering topics
Publications and source records attributed to Sperling, H. J..
A theoretical investigation of the influence of the aerodynamic torque on a Skylab-type satellite is presented. Only the case of free flow of uniform velocity and completely diffuse reflection is considered. It is found by linear stability analysis that the satellite has no stable equilibrium.
Let a rigid satellite move in a circular orbit about a spherically symmetric central body, taking into account only the main term of the gravitational torque. We investigate and find all solutions of the following problem. Let the satellite be permitted to spin about an axis that is fixed in the orbit frame; the satellite need not be symmetric, the spin not uniform, and the spin axis not a principal axis of inertia. The complete discussion of this type of spin reveals that the cases found by Lagrange and by Pringle - and the well-known spin about a principal axis of inertia orthogonal to the orbit plane - are essentially the only ones possible.
Collision of all bodies in a perturbed n-body problem is analyzed by an extension of the author's results for a perturbed two-body problem (1969). A procedure is set forth to prove that the absolute value of energy in a perturbed n-body system remains bounded until the moment of collision. It is shown that the characteristics of motion in both perturbed problems are basically the same.
N-body problem real singularities in celestial mechanics, considering present status and holomorphic motion
Disproof of Wintner analytical foundations of celestial mechanics regarding binary collision in three body problem
Motion near collision singularity in perturbed two body problem, applying method to boundedness proof for Sperling cluster energy
Theorems on collision singularities in many body problem, and bibliography on equations of motion in celestial mechanics
Gravitational and magnetic torque effect on rotational motion of triaxial rigid body in regressing orbit about oblate primary mass
Binary collision in n-body problem of celestial mechanics using analytic differential equations
Homogeneous triaxial ellipsoid Newtonian potential expansion in series of tesseral harmonics
Explore the source record for details and available documents.