Journal
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY
Volume 94, Issue 1, Pages 1-15Publisher
SPRINGER
DOI: 10.1007/s10569-005-1152-2
Keywords
fractals; fractional integrals; gravitational multipole moment
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In this paper we consider the gravitational field of fractal distribution of particles. To describe fractal distribution, we use the fractional integrals. The fractional integrals are considered as approximations of integrals on fractals. Using the fractional generalization of the Gauss's law, we consider the simple examples of the fields of homogeneous fractal distribution. The examples of gravitational moments for fractal distribution are considered.
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