All Questions
Tagged with binary-stars homework-and-exercises
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Impact Parameter as function of orbital parameters
In the case of a binary system (pulsar+companion), the impact parameter $\textbf{b}$ is the projection of the binary separation $\textbf{r}$ on the sky plane:
\begin{equation}\tag{1}
\textbf{b} = \...
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Binary stars orbiting around each other are equidistant [closed]
This is a problem that was given to me in my Classical Mechanics course:
J.S.Plaskett's star is one of the most massive stars known at present. It is a binary star, that is, it consists of two stars ...
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Keplerian orbital elements of a binary system: computing the eccentricity vector and angular momentum vector
I have been given a binary system and know a few of the keplerian orbital elements such as ...
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Ratio of masses of double star problem
I am currently studying Classical Mechanics, fifth edition, by Kibble and Berkshire. Problem 2 of chapter 1 is as follows:
The two components of a double star are observed to move in circles of radii ...
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Question about proportionally rules
I don't think context is needed but to make sure: I'm doing a homework exercise on binary system. P is the orbital period and E the energy of the system. The following is in the solution when trying ...
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Eccentricity of two bodies in an unbound orbit
There seems to be two definitions of an eccentricity of orbiting bodies, one for when it’s not bound and the other for when it is bound (Keplerian binary).
When the binary is bound there is a simple ...
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What's the shortest "safe" distance from a neutron star merger?
Take GW170817 for example, the first neutron star collision picked up by LIGO. Given how much data we got from that event, can anyone figure out what the "blast radius" is, and how far away from the ...
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Mass of each star in a binary star system?
A binary star is composed of two stars that orbit around their centre of mass under the influence of gravity. Consider such a system in which two stars have identical mass. In the centre of mass frame,...
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The mass and separation of binary system with only information about one star [closed]
If we can observe that a star and an unmeasurable planet are in circular orbit around a common center of mass. If we know the speed of the star to be $100\,m/s$, the mass of the star to be $2 \cdot 10^...
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Determining Mass of Spectroscopic Binaries
I know that the mass of a binary star system is given by Kepler's Law: $$\mathrm{m_1 + m_2 = \frac{4 \pi^2 r^3}{GT^2}}$$
Further we know that: $$\frac{r_2}{r_1} = \frac{v_2}{v_1} = \frac{m_1}{m_2}$$
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