Classical Newtonian Gravity by Roberto A. Capuzzo Dolcetta

Author:Roberto A. Capuzzo Dolcetta
Language: eng
Format: epub
ISBN: 9783030258467
Publisher: Springer International Publishing

The two straight lines above are coincident because .

3.3.2 Radial Motion in a Homogeneous Sphere

As said above, the case of i.c. such that gives, as always in a central force field, a purely radial motion.

Remembering the variable separation introduced in Sect. 3.2, and letting , it is

(3.32)

whose solution is a radial oscillation across the origin for negative mechanical energy, E, and an unlimited straight line motion for (see Sect.3.5.2). In the first case, the radial oscillation occurs in a time (called radial period)

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