Numerical Methods for Learning Orbital Mechanics

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SUMMARY

Understanding orbital mechanics does not necessitate a complete course in numerical methods, as many principles can be taught without them. However, for advanced studies, a foundational grasp of numerical methods is beneficial, particularly for high-precision calculations. Resources such as the paper "Numerical Integration Techniques in Orbital Mechanics Applications" and Howard Curtis' book "Orbital Mechanics for Engineering Students" are recommended for self-learners. A modern course may emphasize numerical methods due to their computational advantages.

PREREQUISITES
  • Basic understanding of orbital mechanics principles
  • Familiarity with perturbation methods
  • Knowledge of numerical integration techniques
  • Access to computational tools for high-precision calculations
NEXT STEPS
  • Study numerical integration techniques relevant to orbital mechanics
  • Read Howard Curtis' "Orbital Mechanics for Engineering Students"
  • Explore Wikipedia's entry on orbit modeling for foundational concepts
  • Investigate modern courses that integrate numerical methods into orbital mechanics
USEFUL FOR

Aerospace engineers, physics students, and anyone interested in applying numerical methods to orbital mechanics will benefit from this discussion.

CC4
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I'm interested in learning orbital mechanics but I haven't taken a class in numerical methods yet. Do I really need to take a whole class in numerical methods before learning orbital mechanics, or can I get by if I self-learn a smaller portion of the syllabus of a numerical methods class? If so, what topics should I concentrate on?
 
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Hello @CC4 ,
:welcome: ##\qquad## !
Did it occur to you to do some googling ? Your thread title already brings up some goodies, e.g. https://www.researchgate.net/profile/Patrick-Chai/publication/281108779_Numerical_Integration_Techniques_in_Orbital_Mechanics_Applications/links/55d5e3c008ae9d659489d4fc/Numerical-Integration-Techniques-in-Orbital-Mechanics-Applications.pdf

[edit] Or even whole books!
https://www.amazon.com/dp/008102133X/?tag=pfamazon01-20

1654623286467.png


Apart from that it's hard to advise without knowing where you start from.

##\ ##
 
Last edited by a moderator:
CC4 said:
Do I really need to take a whole class in numerical methods before learning orbital mechanics
Most principles relevant to orbital mechanics can be and are traditionally taught without the need for numerical methods in general since they are considered a special class of perturbation methods, but I guess that does not exclude a modern course to lean heavily into numerical methods since computers are so darn handy for doing all the calculations needed for high precision work that cannot be done analytically anyway. If the specific class you are interested in lists numerical methods as a hard requirement then it may well be one such modern course.

That said, it would seem strange to try learn (advanced) orbital mechanics without establishing a basic understanding first which, as mentioned, do not require special knowledge of numerical methods. Wikipedia's entry on orbit modeling gives a short overview of the different approaches.
 
BvU said:
[edit] Or even whole books!
Howard Curtis' Orbital Mechanics for Engineering Students is an excellent book.
 
Last edited by a moderator:
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