Abstract
The force with which the mass μ situated at a point P attracts the mass m situated at M is given by Newton’s law as
where r is the distance between P and M, r⃗ is the radius vector of the point M (the origin of which is at the center of attraction P) and f is the constant of gravitation (Fig. 57). It follows from elementary considerations that
is the gravitational potential at the point M due to the mass μ situated at the point P. The function \( {\text{U}} = - \Pi = f\frac{{m\mu }}{r}\) is called the mutual force function of the two masses.
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© 1965 Springer-Verlag, Berlin · Heidelberg
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Leimanis, E. (1965). Rigid body in a central Newtonian field of forces. In: The General Problem of the Motion of Coupled Rigid Bodies about a Fixed Point. Springer Tracts in Natural Philosophy, vol 7. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-88412-2_6
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DOI: https://doi.org/10.1007/978-3-642-88412-2_6
Publisher Name: Springer, Berlin, Heidelberg
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