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4 votes
0 answers
161 views

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 ...
gravitone123's user avatar
1 vote
1 answer
62 views

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), ...
Brício Freitas's user avatar
1 vote
1 answer
49 views

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 ...
Sambhav Antriksh's user avatar
7 votes
1 answer
540 views

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 ...
bajotupie's user avatar
  • 133
2 votes
0 answers
304 views

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 ...
Sofia Splawska's user avatar
0 votes
1 answer
77 views

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 ...
Lt. Commander. Data's user avatar
0 votes
1 answer
233 views

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 ...
Incredible II's user avatar
0 votes
2 answers
159 views

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 ...
asmgx's user avatar
  • 417
1 vote
2 answers
342 views

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 ...
K7PEH's user avatar
  • 1,577
1 vote
1 answer
415 views

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 ...
starstruck's user avatar
1 vote
1 answer
380 views

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^...
casualprogrammer's user avatar
0 votes
0 answers
174 views

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. ...
Sha Vuklia's user avatar
2 votes
1 answer
210 views

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-...
HLP's user avatar
  • 21
9 votes
4 answers
2k views

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 ...
user6123723's user avatar