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All Journal Alifmatika: Jurnal Pendidikan dan Pembelajaran Matematika ARZUSIN: Jurnal Manajemen dan Pendidikan Dasar
Sharma, Pravesh
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Religion Education Mathematics Physics Social Sciences Other

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Modeling Planetary and Stellar Motion Using Differential Equations Sharma, Pravesh; Sahani, Suresh Kumar; Sahani, Kameshwar; Sharma, Kritika
ARZUSIN Vol 3 No 6 (2023): DESEMBER
Publisher : Lembaga Yasin AlSys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/arzusin.v3i6.1991

Abstract

The report aims to explore the application of differential equations in modeling the motion of planets and stars within our universe, serving as an introduction to the captivating realm of celestial mechanics. We utilize differential equations to represent the movement and positions of celestial bodies within a gravitational field, grounding our analysis in Newton's laws of motion and gravitation. Moreover, we employ Kepler's laws of planetary motion to elucidate the orbits of planets around the sun. It is important to note that this report offers a simplified perspective, designed for educational purposes. In reality, celestial mechanics can be exceedingly intricate, involving n-body problems, relativistic effects, and a multitude of other factors.
Rocket science unveiled: A differential equation exploration of motion Sharma, Pravesh; Sahani, Suresh Kumar; Sharma, Kritika; Sahani, Kameshwar
Alifmatika (Jurnal pendidikan dan pembelajaran Matematika) Vol 6 No 1 (2024): Alifmatika - June
Publisher : Fakultas Tarbiyah Universitas Ibrahimy

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35316/alifmatika.2024.v6i1.42-50

Abstract

Through the perspective of differential equations, the report "Rocket Science Unveiled" explores the amazing invention of rocket propulsion. In order to study, comprehend, and forecast the behavior of rocket engines, differential equations are essential. In order to better understand and analyze this intricate anomaly, the report aims to investigate the underlying mathematics of rocket propulsion and how differential equations work. We apply the differential equation to clarify the fuel consumption and thrust generation rates. In addition, we utilize Newton's rule of motion to explain the relationship among thrust, mass, and acceleration. Working on this study allowed us to discover the anticipated outcome for both position location and spacecraft position determination. For iterative operations, we used Euler's approach because the analytical calculation of differential equations is complicated, we used Euler's method for iterative operations. Knowing the rocket's initial or previous value allows us to locate or establish its placements with ease.
Co-Authors Sahani, Kameshwar Sahani, Suresh Kumar Sharma, Kritika