Motion in a Newtonian forced field modified by a general force

✍ Scribed by Demetrios G. Magiros

• Publisher: Elsevier Science
• Year: 1964
• Tongue: English
• Weight: 692 KB
• Volume: 278
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(64)90092-4

✦ Synopsis

The motion of a man-made celestial body under the influence of aa 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 coeficients 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.