DOI: 10.29132/ijpas.1902675 ISSN: 2149-0910

Multiplicative homothetic motion defined by a planar curve

Hasan Es, Mehmet Çitil
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In this study, multiplicative homothetic motion is defined in the two-dimensional multiplicative homothetic Euclidean space E_*^2 through the components of a curve. It is shown that at each time t, this motion has a (q−1)th-order center of acceleration. In addition, it is proven that the centers of acceleration are independent of the motion parameter in the special case where the translation vector of the motion is proportional to the planar curve.

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