All Questions
Tagged with binary-stars newtonian-mechanics
17
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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} = \...
- 169
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Confusion about Post-Newtonian orbital motion (Damour-Deruelle)
In their famous paper in 1985 (link), Damour&Deruelle describe the orbital motion for a binary system taking into account first-order post-Newtonian corrections (1PN). The solution is given in ...
- 169
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Inquiry Regarding Hypothetical Celestial Mechanics Scenario
How would the addition of a second sun, located at the other focus of the planet's elliptical orbit, impact the motion and orbit of the planet? Specifically, how would the gravitational forces from ...
user379270
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119
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Does the Centre of Mass of a binary star system accelerate?
At the COM of a binary star system (where both stars has a different mass), the net force at the centre of mass is non-zero.
Does this mean that the COM will be accelerating? And if so, wouldn't the ...
- 568
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1
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Pair of binary stars orbiting each other
Suppose we have a pair of binary stars orbiting around each other in their mutual gravitational field. My question is, is the trajectory of the combined system would be an ellipse?
And, if it is an ...
2
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Find semi-minor axis of elliptical binary orbit given semi-major axis and mass ratio
I'm working on a simulation of binary stars. I'm using Kepler's Laws to solve for the angular velocity given the semi-major axis $a$ and the masses $m_1$ and $m_2$ of the two objects in an elliptical ...
- 109
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3
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241
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Could two planets trapped between two stars orbit each other?
Say there are two stars, each exerting and equal force on a point in the midde of them. For simplicity, we'll say the two stars have the same mass and are equidistant from the point. Now suppose that ...
- 125
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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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answer
133
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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 ...
- 488
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1
answer
36
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Position vector of an eccentric binary
For a circular, equatorial ($z=0$) Newtonian binary, the position can be clearly written as,
$$ x_i = r(\cos \Omega t, \sin \Omega t, 0)$$
for orbital frequency $\Omega$.
My question is how would ...
- 1,751
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answer
415
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Barycenter of a binary star system
It is said that the barycenter of 11 Draconis (Thuban) and 10 Draconis which compose a binary star system is a central point. Is this central point a material or immaterial object? Does the size of ...
- 11
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Kepler's 3rd law applied to binary systems: How can the two orbits have different semi-major axes?
I suddenly came to the realization that I don't understand something about Kepler's law when applied to binary systems, because I encountered an apparent paradox. There must be an error somewhere in ...
- 830
6
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answer
2k
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Conservation of spin angular momentum in a close binary system
Consider a simple model of a close stellar binary, of mass $m_1$ and $m_2 < m_1$, moving on circular orbits around the system's barycenter (no eccentricity, to simplify things). Both star's ...
- 7,592
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174
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Double star system; relative orbit in the case of elliptical orbits
In my physics book they say that the relative distance between two stars (that both have elliptical orbits) in a double-star system equals $4.0 AU$ in the pericenter, and $16.0AU$ in the apocenter. ...
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2
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761
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Will two planets in a binary star system rotate in the same circle around the mass center every period?
I am modeling a two binary star system, and I am wondering if this is the case.
The way I have it right now is that I first figure out the mass center, and then the radius from each of the planet to ...
- 243