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International Journal of Development Research
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Received 29th September, 2025 Received in revised form 10th October, 2025 Accepted 24th November, 2025 Published online 30th December, 2025
Copyright©2025, Surbrish Yadav and Ramesh Yadav. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
In this paper we have study the investigation of gravitation clustering and differentiation of old and new clustering. Expansion of dark matter is discussed. The analysis of pedagogical but importance of semi analytical methods is used. We have analyses the gravitational clustering using Newton’s assumption. The linear perturbations in the Newtonian are also explored. In this we have differentiate the old and new clustering. The application of this is in the image segmentation, analyzing gastric emptying, marketing segmentation and even modeling of galaxy distribution.