Closed Peter230655 closed 2 years ago
Would it make sense to add something like this near eq(117)? _Eq(104) showed that the tensor of inertia is symmetric. A mathematical theorem states that symmetric matrices can always be diagonalized, with eigenvectors being perpendicular.
Yes, I can add that.
If I remember correctly, the law expressed in eq(116) was called Steiner's law. Though my memory might not be correct.
https://en.wikipedia.org/wiki/Parallel_axis_theorem
"The parallel axis theorem, also known as Huygens–Steiner theorem, or just as Steiner's theorem"
In a Dutch University, I suppose I should call it Huygens theorem :)
I opened this issue about adding the historical notes: https://github.com/moorepants/learn-multibody-dynamics/issues/53
You are right!! :-)) Plus Mr. Huygens was a VERY emminent mathematician, close to his contemporaries Newton and Leibniz. About Steiner I don't know a thing.
On Thu 24. Mar 2022 at 11:52, Jason K. Moore @.***> wrote:
I opened this issue about adding the historical notes: #53 https://github.com/moorepants/learn-multibody-dynamics/issues/53
— Reply to this email directly, view it on GitHub https://github.com/moorepants/learn-multibody-dynamics/issues/54#issuecomment-1077249599, or unsubscribe https://github.com/notifications/unsubscribe-auth/AT5MQUWMZOFVBFCOAQXAIL3VBP7J5ANCNFSM5RQA4OWQ . You are receiving this because you authored the thread.Message ID: @.***>
-- Best regards,
Peter Stahlecker
This might be a source, I do not know the book
On Thu 24. Mar 2022 at 12:44, Peter Stahlecker @.***> wrote:
As I read it, Euler sort of 'completed' theoretical classical mechanics, but there must have been emminent recent ones, too. As I read, only in the 1950's was it realized that the rotation of a non rigid body around it's axis of smallest inertia is unstable - as the Americans learned to their dismay when they shot up a satellite with long flexible antennae.
I just know too little about this! :-((
On Thu 24. Mar 2022 at 12:32, Peter Stahlecker @.***> wrote:
I personally always liked these historical notes in a textbook. And there were such giants, arguably the largest one was L. Euler.
On Thu 24. Mar 2022 at 11:52, Jason K. Moore @.***> wrote:
I opened this issue about adding the historical notes: #53 https://github.com/moorepants/learn-multibody-dynamics/issues/53
— Reply to this email directly, view it on GitHub https://github.com/moorepants/learn-multibody-dynamics/issues/54#issuecomment-1077249599, or unsubscribe https://github.com/notifications/unsubscribe-auth/AT5MQUWMZOFVBFCOAQXAIL3VBP7J5ANCNFSM5RQA4OWQ . You are receiving this because you authored the thread.Message ID: @.***>
-- Best regards,
Peter Stahlecker
-- Best regards,
Peter Stahlecker
-- Best regards,
Peter Stahlecker
Would it make sense to add something like this near eq(117)? _Eq(104) showed that the tensor of inertia is symmetric. A mathematical theorem states that symmetric matrices can always be diagonalized, with eigenvectors being perpendicular.
I added something like this.
If I remember correctly, the law expressed in eq(116) was called Steiner's law. Though my memory might not be correct.
For now, I'll leave the historical notes out and just try to link to appropriate wikipedia pages.
As I read it, Euler sort of 'completed' theoretical classical mechanics, but there must have been emminent recent ones, too. As I read, only in the 1950's was it realized that the rotation of a non rigid body around it's axis of smallest inertia is unstable - as the Americans learned to their dismay when they shot up a satellite with long flexible antennae.
I just know too little about this! :-((
On Thu 24. Mar 2022 at 12:32, Peter Stahlecker @.***> wrote:
I personally always liked these historical notes in a textbook. And there were such giants, arguably the largest one was L. Euler.
On Thu 24. Mar 2022 at 11:52, Jason K. Moore @.***> wrote:
I opened this issue about adding the historical notes: #53 https://github.com/moorepants/learn-multibody-dynamics/issues/53
— Reply to this email directly, view it on GitHub https://github.com/moorepants/learn-multibody-dynamics/issues/54#issuecomment-1077249599, or unsubscribe https://github.com/notifications/unsubscribe-auth/AT5MQUWMZOFVBFCOAQXAIL3VBP7J5ANCNFSM5RQA4OWQ . You are receiving this because you authored the thread.Message ID: @.***>
-- Best regards,
Peter Stahlecker
-- Best regards,
Peter Stahlecker
I personally always liked these historical notes in a textbook. And there were such giants, arguably the largest one was L. Euler.
On Thu 24. Mar 2022 at 11:52, Jason K. Moore @.***> wrote:
I opened this issue about adding the historical notes: #53 https://github.com/moorepants/learn-multibody-dynamics/issues/53
— Reply to this email directly, view it on GitHub https://github.com/moorepants/learn-multibody-dynamics/issues/54#issuecomment-1077249599, or unsubscribe https://github.com/notifications/unsubscribe-auth/AT5MQUWMZOFVBFCOAQXAIL3VBP7J5ANCNFSM5RQA4OWQ . You are receiving this because you authored the thread.Message ID: @.***>
-- Best regards,
Peter Stahlecker
1. Would it make sense to add something like this near eq(117)? Eq(104) showed that the tensor of inertia is symmetric. A mathematical theorem states that symmetric matrices can always be diagonalized, with eigenvectors being perpendicular. 2. If I remember correctly, the law expressed in eq(116) was called Steiner's law. Though my memory might not be correct.