Numerical Methods for Learning Orbital Mechanics

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Learning orbital mechanics does not necessarily require a full course in numerical methods, as many foundational principles can be taught without them. However, a basic understanding of numerical methods can enhance the learning experience, especially for high-precision calculations that are challenging to perform analytically. If pursuing self-study, focus on key topics relevant to numerical integration and perturbation methods. Resources such as research papers and recommended textbooks, like Howard Curtis' "Orbital Mechanics for Engineering Students," can provide valuable insights. Establishing a solid foundation in orbital mechanics before delving into numerical methods is advisable for effective learning.
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

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

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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.
 
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Due to the constant never ending supply of "cool stuff" happening in Aerospace these days I'm creating this thread to consolidate posts every time something new comes along. Please feel free to add random information if its relevant. So to start things off here is the SpaceX Dragon launch coming up shortly, I'll be following up afterwards to see how it all goes. :smile: https://blogs.nasa.gov/spacex/

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