Dec 28, 2018 · Lagrangian Equation of Motion for Planetary Orbit in a Single Plane Ask Question Asked 6 years, 11 months ago Modified 8 months ago

May 26, 2022 · In the equation of motion for $\phi$, the time derivative in the Euler-Lagrange equation also acts on $\sin^2 (\theta)$ giving a contribution in $\dot \theta$. This term allows for $\ddot \phi …

Mar 18, 2024 · In terms of linear mechanics: if you insert the kinetic energy term in the Euler-Lagrange equation (omitting a potential energy term) then the outcome that you expect (and which of course …

Jan 20, 2019 · I think that my motion coincides with the OP's because he is working in the the non-inertial rotating frame, and so has extra Coriolis and centrifugal terms. Thus I think his original …

Feb 24, 2024 · Now, we know that the Equation of Motion is the same if we add a total time derivative to the Lagrangian (since the action changes by a constant), so this equation would imply that the …

Question: 9.1. For an object having mass m falling in the z direction, the kinetic energy is žmż and the potential energy is mgz, where g is the gravitational acceleration constant (approximately 9.8 m/s2) …

Feb 25, 2019 · The resulting Klein Gordon equation should not depend on what convention you use for the metric, as you can just multiply by a minus sign to get the relative minus signs correct. The …

Mar 1, 2022 · However, when I am reading QFT text, it is often said that the Euler-Lagrangian equation does not hold exactly in QFT, and there are various quantum fluctuation that is characteristic of QFT. …

May 1, 2020 · In his book Quantum Field Theory and the Standard Model, Matthew D. Schwartz derives the Lagrangian for the massive spin 1 field (section 8.2.2). In eq. (8.23) he finds this to be \begin …

Consider a pendulum suspended inside a railroad car that is being forced to accelerate with a constant acceleration a. (a) Write down the Lagrangian for the system and the equation of motion for the …