Mass Function (f₍M₎≡P𝘰𝘳𝘣K₂³∕2πG=M₁sin³i∕₍1+q₎²) ○￩ Entries

↩ 🔵 🔵 🔵

---

Primary

၊၊||၊|။

Mass Function ○◂｜untitled_remarks｜1st｜20261011111750-00-●

Remillard & McClintock 2006 ┃ X-Ray Properties… ⚬𓂃

An observational quantity of special interest is the mass function, $f(M)\equiv P_{\mathrm{orb}}{K}_2^3/2\pi G=M_1{\sin }^{3}i/(1+q{)}^2$ (see Table 1, column 6). The observables on the left side of this equation are the orbital period $P_{\mathrm{orb}}$ and the half-amplitude of the velocity curve of the secondary $K_2$. On the right, the quantity of greatest interest is $M_1$, the mass of the BH primary (given in column 7); the other parameters are the orbital inclination angle $i$ and the mass ratio $q\equiv M_2/M_1$, where $M_2$ is the mass of the secondary. The value of $f(M)$ can be determined by simply measuring the radial velocity curve of the secondary star, and it corresponds to the absolute minimum allowable mass of the compact object.

(echo:: @ ᯤ ᯤ ᯤ ᯤ ᯤ ᯤ ᯤ ᯤ ᯤ)

Link to original

Secondary

• • •

---