Timeline for Symmetry in the solution of orbit equation in central force
Current License: CC BY-SA 4.0
15 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 26, 2021 at 15:20 | comment | added | Kashmiri | Let us continue this discussion in chat. | |
| Oct 26, 2021 at 14:49 | comment | added | Eli | @kashmiri if Eq. (2) is correct $\frac{d^2u(-\theta)}{d\theta^2}+u(-\theta)=-\frac{m}{l^2}\frac{d}{du}V\Big(\frac{1}{u(-\theta)}\Big)~$ then substitute $~u(-\theta)=v~,du=dv~$ and you obtain the differential equation (1) | |
| Oct 26, 2021 at 14:14 | comment | added | Eli | We can try but we can’t write equations? | |
| Oct 26, 2021 at 14:07 | comment | added | Kashmiri | I had a related doubt can we have a chat? | |
| Oct 26, 2021 at 14:07 | comment | added | Kashmiri | Your answer helped me. +10 :) | |
| Oct 26, 2021 at 13:05 | history | edited | Eli | CC BY-SA 4.0 |
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| Oct 26, 2021 at 13:03 | comment | added | Eli | Do you mean that i should put the argument , i will do it thanks | |
| Oct 26, 2021 at 12:16 | comment | added | Kashmiri | I.e your second equation is :$$\frac{d^2u(-\theta) }{d\theta^2}+u(-\theta) =-\frac{m}{l^2}\frac{d}{du}V\Big(\frac{1}{u (-\theta) }\Big)$$ | |
| Oct 26, 2021 at 12:13 | comment | added | Kashmiri | Hi Eli, in equation 2 is $u=u(-\theta)$ ? | |
| Sep 17, 2021 at 18:46 | vote | accept | Manu | ||
| Sep 17, 2021 at 18:44 | comment | added | Eli | \begin{align*} &\text{lets say that u is a function of $~x^2~$ thus}\\ &y=u(x^2)\\ & \text{what is the derivative $~\frac{dy}{dx}~$ ?}\\ & \frac{dy}{dx}=\frac{du}{dx}\,2x \quad, \text{not}\,~ \frac{du}{dx^2} \end{align*} | |
| Sep 17, 2021 at 17:17 | comment | added | Manu | Why $\frac{du(-\theta)}{d(-\theta)}=\frac{du(\theta)}{d\theta}$? May you please explain this. | |
| Sep 17, 2021 at 17:13 | comment | added | Manu | Thanks for the reply. In your edit shouldn't, $\frac{dy}{d\theta}=\frac{du(f(\theta))}{df(\theta)}\frac{df}{d\theta}=\frac{du(-\theta)}{d(-\theta)}\frac{d(-\theta)}{d\theta}=-\frac{du(-\theta)}{d(-\theta)}$ | |
| Sep 17, 2021 at 16:48 | history | edited | Eli | CC BY-SA 4.0 |
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| Sep 17, 2021 at 16:29 | history | answered | Eli | CC BY-SA 4.0 |