Thank you very much for these helpful explanations! This video was very useful in understanding the basics described in the book by D. Vallado "Fundamentals of Astrodynamics and applications". Thank you very much! ][=
Thanks so much for these videos, they are super insightful! FYI, you've sent me down a rabbit-hold of trying to understand the state-of-the-art for numerical integrators, specifically symplectic ones. This refresher on the math has been super helpful for contextualizing things. Would you happen to know any good resources for understanding the latest and greatest in terms of both accuracy and performance for numerical integration in an orbital dynamics (or even more general) context? I figure an adaptive step, symplectic algorithm would be the optimal approach, but it's hard to tell what the truly "best" algorithms are by scouring papers online. A lot of the literature is so recent!
Great content, professor!
Much appreciated 👌
Will add some screenshot to my next video from this if that's OK with you, also link your channel in there.
Thank you very much for these helpful explanations! This video was very useful in understanding the basics described in the book by D. Vallado "Fundamentals of Astrodynamics and applications". Thank you very much! ][=
Thanks so much for these videos, they are super insightful! FYI, you've sent me down a rabbit-hold of trying to understand the state-of-the-art for numerical integrators, specifically symplectic ones. This refresher on the math has been super helpful for contextualizing things.
Would you happen to know any good resources for understanding the latest and greatest in terms of both accuracy and performance for numerical integration in an orbital dynamics (or even more general) context? I figure an adaptive step, symplectic algorithm would be the optimal approach, but it's hard to tell what the truly "best" algorithms are by scouring papers online. A lot of the literature is so recent!
Prof, you said before Jacobi constant is more than Hamiltonian, is it this term what you mean? at 7:01, the angular momentum term?
I meant the Jacobi constant is more than the total energy (kinetic + potential energy), and yes, it's that angular momentum term.
Thank you.
In 10:50, isn't increasing the energy of the surface means actually increasing Jacobi constant(it's a negative value)?
1:45
18:07
0:10 0:10