What is Binary: Definition and 603 Discussions

A binary star is a star system consisting of two stars orbiting around their common barycenter. Systems of two or more stars are called multiple star systems. These systems, especially when more distant, often appear to the unaided eye as a single point of light, and are then revealed as multiple by other means.
The term double star is often used synonymously with binary star; however, double star can also mean optical double star. Optical doubles are so called because the two stars appear close together in the sky as seen from the Earth; they are almost on the same line of sight. Nevertheless, their "doubleness" depends only on this optical effect; the stars themselves are distant from one another and share no physical connection. A double star can be revealed as optical by means of differences in their parallax measurements, proper motions, or radial velocities. Most known double stars have not been studied adequately to determine whether they are optical doubles or doubles physically bound through gravitation into a multiple star system.
Binary star systems are very important in astrophysics because calculations of their orbits allow the masses of their component stars to be directly determined, which in turn allows other stellar parameters, such as radius and density, to be indirectly estimated. This also determines an empirical mass-luminosity relationship (MLR) from which the masses of single stars can be estimated.
Binary stars are often resolved as separate stars, in which case they are called visual binaries. Many visual binaries have long orbital periods of several centuries or millennia and therefore have orbits which are uncertain or poorly known. They may also be detected by indirect techniques, such as spectroscopy (spectroscopic binaries) or astrometry (astrometric binaries). If a binary star happens to orbit in a plane along our line of sight, its components will eclipse and transit each other; these pairs are called eclipsing binaries, or, together with other binaries that change brightness as they orbit, photometric binaries.
If components in binary star systems are close enough they can gravitationally distort their mutual outer stellar atmospheres. In some cases, these close binary systems can exchange mass, which may bring their evolution to stages that single stars cannot attain. Examples of binaries are Sirius, and Cygnus X-1 (Cygnus X-1 being a well-known black hole). Binary stars are also common as the nuclei of many planetary nebulae, and are the progenitors of both novae and type Ia supernovae.

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  1. Jehannum

    I Can the Ionians continue counting indefinitely while following their four rules?

    The society on Jupiter's moon Io has a very odd way of counting. They count in binary using special counters: small discs with 0 printed on one side and 1 on the other. To increase speed when counting they made a rule: Rule #1: To get the next number in the sequence, only one counter can be...
  2. T

    MATLAB Binary bitstream from QPSK with MATLAB?

    Hi , I am trying to extract the binary bitstream from QPSK using MATLAB. Will something like Frames = reshape(B,[],N) work? If not, can someone point me in another direction?
  3. Ranku

    I Gravitational difference between a black hole and a star

    A star or a planet is a material object, while a black hole is an 'immaterial' spacetime object. Does the material or 'immaterial' nature of an object make any difference in how it curves or travels through spacetime as it manifests gravitation (apart from the powerful gravitation near a black...
  4. T

    Making a Binary Clock - Get Answers to Your DIY Questions

    I want to make a binary clock and I found a place with info of "how to" do it but since I'm total noob at electoronics I need some thing clearing some stuff 1st here's the link http://www.instructables.com/id/LED-Binary-Clock-20/ So far I'm still in a process of obtaining the stuff, mostly...
  5. A

    Binary Star initial positions and velocities

    Hi all, I've been tasked with computing binary star orbits based on their initial parameters, positions and velocities. In this problem everything must be expressed in terms of the masses, but I am struggling to define positions and velocities in terms of mass. It is assumed that the stars are...
  6. J

    Decrypting Binary Code to English Text

    00110100 00110011 00100000 00110100 00111001 00100000 00110100 00110011 00100000 00110100 00110001 00100000 00110100 00110100 00100000 00110100 00110001 00100000 00110010 00110000 00100000 00110011 00110011 00100000 00110011 00110011 00100000 00110011 00110000 00100000 00110011 00110001
  7. V

    2's complement of binary numbers and registers

    Homework Statement I want to know how to insert a 2's complement number into a larger register and keep the same value. I would like to know of some pitfalls that I might run into using a generalized method, if any. Homework EquationsThe Attempt at a Solution If I have say 1 in a 3 bit...
  8. S

    I Linear mapping of a binary vector based on its decimal value

    Given an ##N## dimensional binary vector ##\mathbf{v}## whose conversion to decimal is equal to ##j##, is there a way to linearly map the vector ##\mathbf{v}## to an ##{2^N}## dimensional binary vector ##\mathbf{e}## whose ##(j+1)##-th element is equal to ##1## (assuming the index starts...
  9. A

    Binary system of stars (##\alpha## - centauri)

    Homework Statement ##\alpha##-Centuary is in a binary visual system with another star. Their separation, from their CM, is 8.0'' and 9.7''. The distance from the Earth is 1.31pc. Their revolution period around the CM is 80.1 years. I have to find masses and luminosities for each star. Homework...
  10. Ventrella

    A Binary fractal tree with equidistant leaves on a circle

    Does there exist a binary fractal tree… (reference: http://ecademy.agnesscott.edu/~lriddle/ifs/pythagorean/symbinarytree.htm ) …whose leaves (endpoints) lie on a circle and are equidistant? Consider a binary fractal tree with branches decreasing in length by a scaling factor r (0 < r < 1) for...
  11. S

    MHB Binary Search Tree - Sort the same BSTree by name or by weight

    I've tackled a lot so far! I've created methods to delete, get the weight, and sort the tree by name. My goal is to have my switch criteria change how the tree is sorted, either by weight or by name. I haven't figured out how to implement it within my switchCriteria() method, so I've been...
  12. S

    MHB Java- CompareTo with Binary Search Tree

    I am having a hard time implementing comparing a given String name with the names of the Dog objects in my binary Search Tree. The problem comes from my containsRecursive() method. I need to use a String name to find if the name is already in my Binary Search Tree.Here's what I've tried...
  13. Z

    Determining Binary Search Running Time & Understanding

    Homework Statement Hi, I have a problem understanding the following equation related to binary search:Homework Equations int midIndex = (endIndex - startIndex / 2) + startIndex; The Attempt at a Solution If: endIndex = 10 startIndex = 0 then midIndex = (10 - 0/2) + 0; midIndex...
  14. T

    Kepler's 3rd law and a binary system

    Homework Statement I am having a issue with the question, when I check the solution to the problem, I can't seem to make sense of how they have derived there equation. Q: By analyzing the superposition of frequencies and amplitudes in the radial velocity data for a star 55 Cancri A, the first...
  15. R

    Centre of mass of binary system calculation

    Homework Statement Given a graph (see below) containing the velocities of two stars with respect to the sun, I am asked to calculate the velocity of the centre of mass of a binary system. I am not given the mass of either star, nor the shape of the orbit nor the velocity of the centre of mass...
  16. quasarLie

    How to Calculate Mass of Binary Star Systems Using Kepler's Law and Iteration?

    Homework Statement I have to calculate the mass of an astrometric binaries with P=10 years, and a1=15mas, parallax w=64mas the luminosity is neglected Homework EquationsThe Attempt at a Solution i used this equation: M_1 + M_2 = \frac{(a/w)^3}{p^2} but the problem is taht i don't have M1
  17. bbbl67

    I Type Ia supernova involving binary white dwarfs?

    Okay, so for years the typical mechanism used to describe a white dwarf supernova explosion was that a white dwarf accumulates matter from a main sequence binary companion. Then a few years later, the concept of two white dwarfs crashing into each other came up. With the main sequence companion...
  18. S

    I Can Tidal Locking Occur in Binary Neutron Stars Before Merger?

    How many neutron stars are binaries of other neutron stars? Hulse-Taylor binary, discovered in 1974, has orbital period of 7,75 hours. And the pulsar component rotates at 59 milliseconds. The orbit is also eccentric, from 1,1 to 4,8 solar radii. Expected to merge in 300 million years. PSR...
  19. lfdahl

    MHB Show that the binary number b=0.11…1 with 2003 1’s satisfies 0.99⋅⋅⋅9<b<0.99…9

    Show that the binary number $b = 0.11 … 1$ with $2003$ $1$’s satisfies $0.99 ··· 9 < b < 0.99…9$, where the lower bound has $602$ decimal digits $9$, whereas the upper bound has $603$ decimal digits $9$.
  20. E

    Moving LC-3 P.C. more than 256 Hex addresses down? [Binary]

    Homework Statement I'm writing a program in binary on the LC-3. The program counts the occurrences of a specific character in a file. Relevant excerpts from the assignment instructions: 1) Download the source code for Figure 5.17 from the textbook webpage as code1.bin. Code x3000 as the...
  21. websterling

    I GW170608 - Another Binary Black Hole Merger Observed

    On November 15, 2017, LIGO Scientific Collaboration announced the observation of another binary black hole coalescence. The gravitational waves were observed by the twin LIGO detectors on June 8, 2017. This is the lightest black hole binary observed so far, with component masses 12 and 7 times...
  22. P

    I Determining The Inclination Angle of A Stellar Binary System

    I am a Physics undergraduate at the University of Texas at Arlington. I am currently taking an Astrophysics class in which my professor talked about the inclination angle of the orbital plane of the binary star system and how it is impossible to determine that angle. I was wondering why is it...
  23. ISamson

    Medical Could the mind run on binary codes?

    Hello, I was wondering: Since the mind works on electrical signals, it must work on binary codes, because there is electrical signal or not. If so, is the only thing that distinguishes us from a computer the length of the "bit"? What do you think? Thanks.
  24. W

    I What is the solution to the Binary puzzle in World of Warcraft?

    Hi there. There is currently a Binary puzzle being solved in the game Word Of Warcraft. In the puzzle, there are 10 levers which can each be placed in 9 different positions 1-9. So for example, the solution may be 1459275918. So far the community is stumped. The code given is below, I would...
  25. F

    I Is Tabby's Star a Binary System or an Alien Megastructure?

    KIC 8462852, aka ‘Tabby’s Star’ is in the news again, with more BS ideas about "alien megastructures'. Isn't the simplest and most likely explanation for the intensity variability that it is a binary or multiple star system and that the Earth is in the same plane as the mutual orbit ?
  26. Unteroffizier

    Find Absolute Magnitude, distance and "T" of binary star system

    This is the problem given at my basic astronomy course. If I turn it in within a month correctly, I get 10 extra points in the finals. Problem: We have binary star system consisting of Star A and Star B. Astronomers have observed it for 11 years, during which it has moved from point A to point...
  27. P

    B Not sure what this problem would be called....

    Hi, I am trying to write a function which would take two arguments: -> number of bits (which are a binary 0 or 1 value) N -> and acceptable number of mismatching bits M The function would statistically determine the probability of having M or less mismatching bits when randomly generating two N...
  28. F

    Two Black Holes orbiting as a binary system

    Homework Statement In 2009, astronomers found convincing evidence of two such black holes orbiting as a binary system. From data collected, they estimated that the separation of the black holes was 3.2 × 1015 m and that their masses were 1.6 × 1039 kg and 4.0 × 1037 kg. The black holes orbit...
  29. A

    Planetary tidal locking of Close Binary Red Dwarf Stars

    Hi, I'm new to the forum and have an idea for a novel. I can't find anything on this question so I thought I'd sign up for a forum to ask. I'm not a scientist and lack much of the higher technical knowledge. Here's my question: Most planets in close orbits (they'd have to be to support liquid...
  30. M

    Max Comparisons in Binary Search: Understanding Efficiency and Implementation

    I have two questions over linear and binary serch. 1. Homework Statement Q1: In binary search, after three comparisons have been made, only ___ of the array will be left to search. Q2: The maximum number of comparisons that a binary search function will make when searching for a value in a...
  31. binbagsss

    I Why binary systems for gravitational waves?

    So a spherically symmetric object, by Birkhoff's theorem, does not emit gravitational waves. Is this why we look to binaries, so that there is some rotation of the objects with respect to each other breaking the spherical symmetry? Or mainly because the gravitational radiation is much greater...
  32. Mr Davis 97

    Showing that a subset is closed under a binary operation

    Homework Statement Suppose that * is an associative binary operation on a set S. Let ##H=\{a \in S ~| ~a*x=x*a, ~ \forall x \in S\}##. Show that * is closed under H. Homework EquationsThe Attempt at a Solution Let b and c be two different elements in H. We need to show that b*c is also in H...
  33. Mr Davis 97

    Testing whether a binary structure is a group

    Homework Statement Consider the binary structure given by multiplication mod 20 on {4, 8, 12, 16}. Is this a group? If not, why not? Homework EquationsThe Attempt at a Solution I started by constructing a Cayley table, and working things out. It turns out that 16 acts as an identity element, 4...
  34. SSequence

    I Question Regarding Binary PR Predicates

    We can think of a notation being assigned to some ordinal o≥ω when there exists some total and onto function g for which: i) the domain is N ii) the co-domain is the set of all ordinals less than o Now consider the following set: S={(x,y) | g(x) < g(y) } Let the characteristic function of...
  35. AilingLore21

    How does one decode a 6 bit binary to 2 7 segment display?

    So a 3 bit 2 input multiplier has a maximum of 6 bits and the max integer product is 49. Problem is I have no idea displaying it in 2 seven segment displays since the 74LS48 decoder only has 4 inputs and 7 output, only good for a single 7 seg. And we are required only to use ICs which is rather...
  36. RyderP

    Super-Earths around binary dwarf stars

    I may be writing a story, set on a rocky planet, 15 times the size of Earth, around a binary dwarf star (one red, one orange). What kind of flora and fauna can I expect?
  37. L

    B Planets in binary star systems

    How can planets exist in star systems with two or three stars? Shouldn't the planets' orbits get severely disturbed by the other stars?
  38. Y

    Understanding Binary Numbers & Homework on Negative Zero

    Homework Statement So in C an integer is stored as a 32 byte value. Were the 32nd byte is the byte that determines if the value is negative or positive. I created a loop were I set the integer i equal to 1. Each time I cycle through the loop I left shift the variable i by one. Meaning that...
  39. kolleamm

    Binary Addition: 11 + 11 - What's the Rule?

    This one confused me a little bit. You have to carry the one and put it into the next 1 + 1, what would be the rule in this situation? Not sure if this ever happens in decimal addition.
  40. Chadi B Ghaith

    I How to find the nth binary permutation?

    I need to complete this. Let's say I have 4 bits with 2 bits set as 1, 0011. The total number of permutations for this number is 0011, 0101, 0110, 1001, 1010, 1100, 6 cases. This can be computed using the calculation. 4! / ((2!)(4-2)!) = 6 Now I want to be able to find the nth sequence, for...
  41. tarkin

    Solving Binary Star Problems: Tips & Strategies

    Homework Statement http://prntscr.com/dsd7ea Image attached Homework Equations For circular orbit, r = Pv / 2 pi , Where P = orbital period and v=orbital velocity r' = r sini , where i is unknown angle to plane of sky.The Attempt at a Solution [/B] I'm really not getting these binary...
  42. R

    What is the distance and mass of a binary star system with given parameters?

    Homework Statement In an visual binary star system,the apparent magnitude of the primary star is m=9.8 and its spectrral type is G2V.The angular semi-major axis is φ=0''.1 and the period of the system is 24y.Find the distance of the system r and the two masses.The Sun's absolute magnitude is...
  43. Tom MS

    B The Semi-Major Axis of Binary Stars

    Wikipedia seems to think that a binary system is defined by a single semi-major axis, but I've seen other sources such as hyperphysics that define it using two semi-major axes. Is the semi-major axis of the system simply the average of the two?
  44. A

    Why does binary search work this way?

    Homework Statement public class BinarySearch { public static boolean search(int[] array, int searchedValue) { int beginning = 0; int end = array.length - 1; while (beginning <= end) { int middle = (beginning + end) / 2; if (array[middle] ==...
  45. mastrofoffi

    I Simulating Binary Systems with RK4 in C

    I'm writing a C program to simulate the orbits of a binary system with a 4th order Runge-Kutta method; basically I'm considering the 2 bodies rotating around a fictitious 3rd body(which would be their center of mass) and I turned down the reciprocal gravitational pulls between the bodies to...
  46. mooncrater

    Different Node Deletion/Insertion in a Binary Search Tree

    What happens, if instead of having any pointer pointing to a node's parent, we had pointer pointing to the node's successor? We know, that Searching would remain the same. But in my opinion Insertion and Deletion would change. This would happen, because in insertion, we would be needed to find...
  47. mooncrater

    I Asymptotics for finding the successors in a Binary Tree

    Consider the algorithms : TREE-SUCCESSOR(x) 1. if x.right_child !=NIL 2. return TREE-MINIMUM(x.right_child) 3. y=x.parent 4. while y != NIL and x == y.right_child 5. x = y 6. y = y.parent 7. return y TREE-MINIMUM(x) 1. while x.left_child != NIL 2. x = x.left_child...
  48. D

    I Modeling a Binary Asteroid System Around the Sun

    I am trying to create a model/simulation for a pair of binary asteroids in orbit around the sun and I'm wondering what would the best way to do this? The restricted 3-body problem doesn't work as I can't assume any of the 3 bodies as having negligible effect right? However the full 3 body...
  49. FallArk

    Create a binary search tree in python with the support of variables

    My instructor asked us to create a binary search tree in python that supports variables. i.e. the tree will have variables inside, and the user can get the values for those variables by looking for the name of that variable. I don't really know how to implement this. What I have so far: class...
  50. Marcin H

    Binary Addition - 2's Compliment Representation

    Homework Statement Homework Equations Binary Arithmetic The Attempt at a Solution Is this the right way to do these problems? If I see a binary 1 at the beginning of the binary number do I just do the 2's compliment of that and add them? I am not too sure what it means by assume numbers...
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