Rocket science unveiled: A differential equation exploration of motion

  • Pravesh Sharma Department of Mathematics, Mithila Institute of Technology (MIT), Tribhuvan University, Janakpur 46000, Nepal
  • Suresh Kumar Sahani Department of Mathematics, MIT Campus, Tribhuvan University, Janakpurdham 45600, Nepal
  • Kritika Sharma Department of Mathematics, Mithila Institute of Technology (MIT), Tribhuvan University, Janakpur 46000, Nepal
  • Kameshwar Sahani Department of Civil Engineering, Kathmandu University, Dhulikhel 45200, Nepal
10.35316/alifmatika.2024.v6i1.42-50
Keywords: Exhaust Velocity, Propellants, Rocket Propulsion, Thrust Generator

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.

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Alifmatika: Jurnal Pendidikan dan Pembelajaran Matematika
Published
2024-06-15
How to Cite
Sharma, P., Sahani, S. K., Sharma, K., & Sahani, K. (2024). Rocket science unveiled: A differential equation exploration of motion. Alifmatika: Jurnal Pendidikan Dan Pembelajaran Matematika, 6(1), 42-50. https://doi.org/10.35316/alifmatika.2024.v6i1.42-50
Issue
Vol. 6 No. 1 (2024): Alifmatika - June
Section
Articles

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