Timeline for Equations of Motion for the $N$-body Problem in the Astrocentric Frame
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Oct 17 at 10:02 | vote | accept | RKerr | ||
| Oct 13 at 13:39 | comment | added | David Hammen | Note that the sum in equation (4.5) vanishes in the case N=1, resulting in the central body-centric two body equation $$\ddot {\vec r}^{\,\star}_1 = -\frac{G(m_0+m_1)\,\vec r^{\,\star}_1}{|\vec r^{\,\star}_1|^3}$$This is of course the correct equation for the astrocentric two body problem. The $G{m_0+m_j)$ term does indeed belong in Tremaine's equation (4.5). See my answer for details. | |
| Oct 13 at 12:35 | history | edited | Qmechanic♦ | CC BY-SA 4.0 |
edited tags; edited title
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| Oct 13 at 11:59 | answer | added | David Hammen | timeline score: 2 | |
| Oct 11 at 14:43 | history | asked | RKerr | CC BY-SA 4.0 |