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Enhancing Stellar Orbit Accuracy through the Radius Power Law Time Step Function Model Hasanuddin, Hasanuddin; Eusebius, Agustinus; Arman, Yudha
Jurnal Ilmu Fisika Vol 18 No 1 (2026): March 2026 (Forthcoming Issue)
Publisher : Jurusan Fisika FMIPA Universitas Andalas

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jif.18.1.35-44.2026

Abstract

Accurately determining stellar orbits within astrophysical systems is paramount for understanding celestial mechanics. This study proposes a novel approach to enhance orbit accuracy by incorporating a radius power law time step function model. The methodology involves the numerical integration of the system's dynamics using a forward fourth-order symplectic integrator, combined with a time step function dependent on the distance of the test particle from the system's center. We conduct simulations on various astrophysical scenarios represented by conservative potentials, including point mass, Plummer, and Hernquist models. Our results demonstrate that employing a power-law time step function with an exponent of 1.5 significantly reduces phase-space error (measured by the ratio of radial to orbital periods) and improves orbit accuracy (measured by the gradient of the relative total energy drift). The method is easy to implement, computationally efficient, and adaptable to N-body and more general dynamical systems. Its solid theoretical basis and numerical reliability make it a practical tool for improving orbit accuracy in diverse astrophysical applications.
Co-Authors . Antonius, . . Apriansyah . Faurizal . Hasanuddin . Kornellius A.A. Ketut Agung Cahyawan W Alexsianus Malujung Alhuda, Ervan alpiana, fila Andi Ihwan Artedi Asifa Asri Asifa Asri Asifa Asri Atang Rahma Agusta Azrual Azwar Azrul Azwar Bintoro Siswo Nugroho Boni Lapanporo, Boni Boni Pahlanop Lapanporo Catur Purwanto, Catur Cucu Suhery Dayang Samsul Hidayah Desi Saputri Sri REZEKI Devi Yulianti Dian Prawira Dwiria Wahyuni Elvi Rusmiyanto Pancaning Wardoyo, Suci Lestari, Mukarlina, Erna Wati Eusebius, Agustinus Evi Noviani Ezra Andwa Heradian, Ezra Andwa Fajar Arianto Febriyadi Romadhan Fitriyadi Fitriyadi Gapar Gapar, Gapar Gusrizal Gusrizal H., Cindy Priscilla Haisyah, Haisyah Hasanuddin Hasanuddin Hasanuddin Hasanuddin Hasmiati Hasmiati Hendro Tira Herli Herli Hezliana Syahwanti Hutabarat, Victor Ibnur Rusi Iis Solehati Iklas Sanubary Ismail Ismail Jamilah, Syarifah Intan Jennifer Sulastri Joko Sampurno Joko Sampurno Julia Bela Kart Kaharudin Kaharudin Karno - Karno Kushadiwijayanto, Arie Antasari Latifah Maesaroh Mariana Bara’allo Malino Mathali'ul Anwar Muhammad Kholid Muhardi Muhardi Muhardi Nia Syafitri Nur Fadhila Nuraniza Nuraniza Nurhasanah Nurhasanah Nurhasanah Nurhasanah Nurul Mutiah Nurul Wahdah Okto Ivansyah Perdhana, Radhitya Pramesti, Meita Ananda Purba Santoso, Purba Putra, Nurdin Satria Radhitya PERDHANA Rahmatullah, Sigid Renny Puspita Sari Rezeki, Desi Saputri Sri Rifatul Auzan Rika Kurniasih Rindiani Rindiani Riska Dewi, Riska Riyan Dano Prasetyo Riza Adriat Rizki Fajania Rohyati, Eny Rumyati Pujiastuti S Juari Saron, Mawar Satria Sumarwan, Satria Sidi, Makarius Siti Helmyati Suci Fitri Nazila Suraina Suraina, Suraina Syaripudin Syaripudin Theresia Oktatriani Triandi Kuseno Veronika Pitri Vikki Vikki Waras Selviani Octavia Yeni Apriyanti Yesi Dwi Jayanti Yoga Satria Putra Yoga Satria PUTRA Yuris Sutanto Yusuf Umar Al Hakim Yuzika Pausa Zulfian Zulfian