User J Peterson

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About

Engineering PhD student with BS in physics. Classical mechanics, analytical dynamics, and Astrodynamics.

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Yearling

Jun 15, 2023

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Jan 30
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Dec 31, 2022
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differential-geometry

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classical-mechanics

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vector-bundles

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tangent-bundle

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coordinate-systems

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euler-lagrange-equation

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Top posts

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proper notation for derivatives and differential

Oct 11, 2022

Coordinate bases: in what sense is $\partial_i=\frac{\partial}{\partial q^i}$ a basis vector?

Jun 7, 2023

Is a general state space a manifold?

Nov 12, 2022

Is a bilinear form a tensor or a scalar "output'' of that tensor?

Jun 21, 2022

Questions about notations and relations between tensor spaces and exterior algebra

Aug 30, 2022

Derivative of a curve on tangent bundle $TQ$ and second-order equations (where is the acceleration?)

Jul 13, 2023

Notation for $k$-vector fields on a smooth manifold? Contravariant version of $\Omega^k(M)$?

Dec 30, 2022

What properties does the flow of a Hamiltonian vector field have compared to the flow of a symplectic vector field?

Aug 7, 2023

velocity along a curve in time-dependent coordinates (how to handle time-dependent bases in differential geometry)

Oct 6, 2023

Can the tangent and cotangent bundles have the same coordinates? Symplectic form in cotangent coordinates

Dec 7, 2022