Motion in a Newtonian Forced Field Modified by a General Force

Demetrios G. Magiros
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Demetrios G. Magiros: General Electric Company, Valley Forge Space Technology Center

Chapter 26 in Selected Papers of Demetrios G. Magiros, 1985, pp 322-331 from Springer

Abstract: Abstract The motion of a man-made celestial body under the influence of an attractive center according to the inverse square Newton’s law and a general force is discussed. A solution of special form, referred to a specific inertial coordinate system, is established. For the time-dependent coefficients of the solution MacLaurin expansions are taken. It is proven that the formal solution constructed satisfies all the requirements needed for really being a solution of the physical problem; besides its region of convergence is found. The problem is specialized in the case of a constant force. The case of suddenly or gradually applied forces is also examined.

Date: 1985
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DOI: 10.1007/978-94-009-5368-0_26

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