All Questions
Tagged with binary-stars celestial-mechanics
14
questions
4
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0
answers
161
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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 ...
1
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1
answer
62
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Problem in an ellipse circumscribed on an auxiliary circle
I was reading the book "an introduction to the evolution of single and binary stars", by Mattew Benacquista, and I couldn't understand a specific step in topic 2.1 (Time-Depedent Orbits), ...
1
vote
1
answer
49
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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 ...
7
votes
1
answer
540
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Are orbital eccentricities in a binary system always the same?
Some excercises on Kepler laws and binary system use this relation $$\frac{r_1}{r_2} = \frac{a_1}{a_2},$$
where $r$ is the distance from the center of mass to each object and $a$ is the semi-major ...
2
votes
0
answers
304
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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 ...
0
votes
1
answer
77
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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 ...
0
votes
1
answer
233
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Can Binary Stars Escape Each Other?
updated 8/27/2020
While the recession of our Moon from the Earth may slow and even stop,
(see When will the Moon reach escape velocity?)
binary star systems will
(1) never stop experiencing mutual ...
0
votes
2
answers
159
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Which orbit planet will take with 2 stars?
Is there a law or an equation that shows which star gravity will win and suck a a planet that has 2 stars
Assume planet P has 2 stars A & B
A is smaller than B
Planet P is closer to A more than ...
1
vote
2
answers
342
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On Planets orbiting binary stars
Several years ago a discovery was made of planet orbiting a star of a binary system (two stars orbiting each other). Since binary star systems are plentiful in our galaxy, I presume we will be ...
1
vote
1
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 ...
1
vote
1
answer
380
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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^...
0
votes
0
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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. ...
2
votes
1
answer
210
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Acceleration in an elliptical binary system
So I'm having a bit of a problem dealing with binary systems. I'm looking at acceleration in a stellar system and am not sure where to begin. Assuming both stars are of equal masses, they'd be equal-...
9
votes
4
answers
2k
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Binary Star system with one star stationary?
Can a Binary Star system be possible where in one star is stationary and the other star revolves around it? (Just like a planet revolving a star. i.e planets in the system and the star revolving ...