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Journal : Jurnal Penelitian Pendidikan IPA (JPPIPA)

Non-Linear Force Dynamics in Black Hole Accretion Disks Using Logarithmic and Trigonometric Approximations Situmorang, Adi Suarman; Sinaga, Juli Antasari Br; Rintaningrum, Ratna; Siagian, Ruben Cornelius
Jurnal Penelitian Pendidikan IPA Vol 11 No 2 (2025): February
Publisher : Postgraduate, University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jppipa.v11i2.10291

Abstract

Accretion disks are material structures that form when gas, dust or plasma is pulled towards a black hole by its strong gravity. In rotating (Kerr) black holes, the dynamics of the accretion disk becomes more complex due to frame-dragging effects that affect particle trajectories and energy release patterns. This study aims to develop an algorithm for calculating the force F(x) on particles in the accretion disk by considering the non-linear interaction between the black hole spin parameter and the relative position of the particles. The developed algorithm uses logarithmic and trigonometric approaches to improve the accuracy of the force calculation. The results show that variations in the spin parameter and relative position significantly affect the force distribution in the accretion disk. Visualization of the force interaction reveals the existence of non-linear patterns that contribute to the system dynamics. The main contribution of this research is the refinement of force calculation models that previously did not fully incorporate the combined effects of logarithmic and trigonometry in particle interactions. The proposed approach offers a more accurate predictive tool to explore the physical processes around black holes, and supports the interpretation of observational data from telescopes and gravitational wave detectors
Co-Authors Agusmanto J.B Hutauruk Agusmanto J.B. Hutauruk Agusmato Hutauruk Bangun Munthe Betti Rouli Manik Br Simarmata, Jesika Jelita Putri Br. Sipayung, Yuli Pambreni Christina Natalina Saragi Christina Sitepu Dahlia Fortuna Sinaga dame ifa sihombing Dapot Tua Manullang David Guth David Mrazek Desi Sonia Petlin Nainggolan Dusan Jina Eka Putri Saptari Wulan Enjelika Pandiangan Ester Dormauli Sihotang Feri Pangaribuan Friska B. Siahaan Friska B. Siahaan Friska B. Siahaan Grace Manurung Gultom, Darma Indra Gultom, Sanggam P Handoko Priono H.S Hardi Tambunan Helen Sayora Sihotang Henny I. Sitanggang Hutasoit, Julinca Hutauruk, Agusmanto Hutauruk, Agusmanto J. B. Jan Tomasov JB. Hutauruk, Agusmanto Juli Antasari Br Sinaga Kristina M. Purba Lasmaria Pardede Lasminar Sihombing Lena Pangaribuan Lena Rosdiana Pangaribuan Lenka Křivánková Lestari Kasih Grasella Nahampun Limbong, Cici Limbong, Melinda G. Magdalena Siahaan Manik, Efron Martin Maděra Matous Havrlik Mei Jwita Silaen Mika Oktavia Purba Nelly Karlina Nissi Wuntari Sinaga Novita Dwi Yanti Gulo P. Sitepu, Christina Pangaribuan, Lena R. Panjaitan, Simon M. Pasaribu, Yuni Virginia Angelika Purba, Maesy Romaito Purba, Putri Enzelina Rambe, Jeremi Sandi Rani Farida Sinaga Ratna Rintaningrum, Ratna Rita Yusreni Nainggolan Rizky M.N. Dalimunthe Ruth Mayasari Simanjuntak Sahlan Tampubolon Samuel Juliardi Sinaga Samuel Juliardi Sinaga Samuel Juliardi Sinaga Sanggam Gultom Sanggam P. Gultom Santa Miralda Lumbantobing Sarah Yulita Sauduran, Golda Novatrasio Siagian, Ruben Cornelius Siallagan, Nova Wati sihombing, dame ifa Silaban, Naomi Simamora, Romasi Patresia Simangunsong, Venny Herawati Simanjuntak, Nasri Simbolon, Lolyta Damora Simon M Panjaitan Simon M. Panjaitan Simon M. Panjaitan Simon M. Panjaitan Simon M. Panjaitan Simon Panjaitan Sinaga, Juli Antasari Br sinaga, samuel juliardi Sirait, Romulus Siregar, Golda Novatrasio Situmorang, Nengsi Syah Putri Suci Rahmadani Tambunan, Hardi Tiofanny, Tiofanny Warni, Remia Yende Puji Yani Sihotang Yuni Juli Riani Purba Yurianti Yurianti Zefanya Harianja, Claresia Corry