Numerical Methods for Learning Orbital Mechanics

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Discussion Overview

The discussion centers on the necessity of taking a full course in numerical methods before studying orbital mechanics. Participants explore whether self-learning specific topics in numerical methods could suffice for understanding orbital mechanics, and they consider the relationship between traditional teaching methods and modern computational approaches.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant questions the need for a complete numerical methods course before learning orbital mechanics, suggesting that a focused self-study might be sufficient.
  • Another participant notes that many principles of orbital mechanics can be taught without numerical methods, as they are often approached through perturbation methods.
  • There is a suggestion that modern courses may emphasize numerical methods due to the convenience of computers for high-precision calculations that are difficult to perform analytically.
  • A later reply emphasizes the importance of having a basic understanding of orbital mechanics before delving into advanced topics, which may not require extensive knowledge of numerical methods.
  • Participants provide resources, including links to research papers and books, to support the learning process.

Areas of Agreement / Disagreement

Participants express differing views on the necessity of a full numerical methods course, with some arguing that foundational knowledge in orbital mechanics can be acquired without it, while others suggest that modern courses may require it. The discussion remains unresolved regarding the best approach to learning.

Contextual Notes

There are limitations in the discussion regarding the specific prerequisites for different courses and the varying approaches to teaching orbital mechanics, which may depend on the institution or curriculum.

Who May Find This Useful

Individuals interested in studying orbital mechanics, particularly those considering self-study or evaluating course requirements in numerical methods.

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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