Comprehensive Analysis of Multivariable Calculus Applications in Rocket Science and Space Travel
Year: 2025
Type: article
Abstract: This comprehensive paper examines the extensive applications of multivariable calculus in modern rocket science and space exploration. Through detailed mathematical formulations, real-world mission analyses, and forward-looking applications, we demonstrate how vector calculus, partial differential equations, and optimization techniques form the fundamental mathematical framework enabling space travel. The paper covers trajectory optimization in n-body gravitational fields, thrust vector control systems, atmospheric reentry modeling, orbital mechanics, and emerging applications in spacecraft swarm dynamics and artificial intelligence-based navigation. Each section includes detailed mathematical derivations, numerical implementations, and empirical data from historical and contemporary space missions including Apollo, Space Shuttle, Falcon 9, and Perseverance Mars rover.
Author: Kishore, Sreyas
Language: English
Subfield: Aerospace Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7081924828
FWCI:
Cites:
Cited by:
Related to: