What is Magnitudes: Definition and 110 Discussions

Apparent magnitude (m) is a measure of the brightness of a star or other astronomical object observed from Earth. An object's apparent magnitude depends on its intrinsic luminosity, its distance from Earth, and any extinction of the object's light caused by interstellar dust along the line of sight to the observer.
The word magnitude in astronomy, unless stated otherwise, usually refers to a celestial object's apparent magnitude. The magnitude scale dates back to the ancient astronomer Ptolemy, whose star catalog listed stars from 1st magnitude (brightest) to 6th magnitude (dimmest). The modern scale was mathematically defined in a way to closely match this historical system.
The scale is reverse logarithmic: the brighter an object is, the lower its magnitude number. A difference of 1.0 in magnitude corresponds to a brightness ratio of 5√100, or about 2.512. For example, a star of magnitude 2.0 is 2.512 times brighter than a star of magnitude 3.0, 6.31 times brighter than a star of magnitude 4.0, and 100 times brighter than one of magnitude 7.0.
The brightest astronomical objects have negative apparent magnitudes: for example, Venus at −4.2 or Sirius at −1.46. The faintest stars visible with the naked eye on the darkest night have apparent magnitudes of about +6.5, though this varies depending on a person's eyesight and with altitude and atmospheric conditions. The apparent magnitudes of known objects range from the Sun at −26.7 to objects in deep Hubble Space Telescope images of magnitude +31.5.The measurement of apparent magnitude is called photometry. Photometric measurements are made in the ultraviolet, visible, or infrared wavelength bands using standard passband filters belonging to photometric systems such as the UBV system or the Strömgren uvbyβ system.
Absolute magnitude is a measure of the intrinsic luminosity of a celestial object rather than its apparent brightness and is expressed on the same reverse logarithmic scale. Absolute magnitude is defined as the apparent magnitude that a star or object would have if it were observed from a distance of 10 parsecs (3.1×1014 kilometres). When referring to just "magnitude", apparent magnitude rather than absolute magnitude is normally intended.

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  1. G

    Physical quantities/ magnitudes

    I've seen that in English you refer to the measurable physical properties as http://en.wikipedia.org/wiki/Physical_quantity" , but some sites call them "physical magnitudes". Are both of them correct?. Do you consider them as synonyms? In Spanish we say "magnitudes físicas", and I wonder if...
  2. H

    How Bright Would a White Dwarf Appear if It Replaced the Sun?

    Homework Statement This is a past exam question that I am trying to get my head around but keep getting stuck Show that if a white dwarf were at the centre of the solar system instead of the sun, it would have an apparent visual brightness of -18.6mag. Assume that the white dwarf has surface...
  3. P

    Dot product / vector magnitudes

    Homework Statement ||V|| = 2 ||W|| = 3 angle between vectors = 120 degrees V(dot)W = -3 Find ||2V+W|| Homework Equations Cos120 = V(dot)W / ||V|| ||W|| V(dot)V = ||V|| ^2 W(dot)W = ||W|| ^2 The Attempt at a Solution instead of solving for ||2V+W|| i instead try...
  4. T

    Finding Longitudinal Data of Star Magnitudes in Surveys

    I am trying to find some sky surveys that have longitudinal data of star magnitudes. The passband does not matter. All that matters is that stars has been observed periodically for a decent amount of time (no surveys with only 9-10 observations per catalogue object). Sadly, the only ones I know...
  5. K

    Vector Mag: When Does u+w > mag(u)+mag(w)?

    Homework Statement If a vector "u" is added to a vector "w", under what circumstances will the value of mag(u+w) ever be greater than mag(u)+mag(w)? Homework Equations Magnitude = Sqrt( (Sum of x components)^2 + (sum of y components)^2 )The Attempt at a Solution I really, have no idea where...
  6. P

    Verifying the Gutenberg-Richter law at small magnitudes

    So, I downloaded some earthquake data from the USGS database. I then plotted the log of the number of earthquakes with magnitude greater than or equal to M versus the magnitude M. This should produce a nice linear trend as predicted by the Gutenberg-Richter law. However, there is an apparent...
  7. L

    Dynamics rotating disk, solve for r and theta magnitudes

    Homework Statement A screen clipping of the problem is here: http://img529.imageshack.us/img529/1738/dynamicsquestion2.jpg We have a circular disk that roates about its center, 0, with a constant angular velocity \omega (\omega = \dot{\theta}. The disk carries two spring-loaded plungers...
  8. C

    Finding Magnitudes of Vectors Using the COMPONENTS Method

    I am pretty good at this but this one seems impossible to figure out. Can anyone help? Vector A has a magnitude of 188 units and points 30 degrees north of west. Vector B points 50 degrees East of North. Vector C points 20 degrees West of South. These three vectors add to give a resultant...
  9. R

    Finding magnitudes of vectors given angles

    Homework Statement Vector A points in the negative direction. Vector B points at an angle of 35.0 above the positive axis. Vector C has a magnitude of 16 and points in a direction 44.0 below the positive axis. Given that A+B+C=0 , find the magnitudes of A and B . Homework Equations...
  10. B

    Calculating distance using absolute and apparent visual magnitudes

    Is there an equation for calculating the distance of a star if you have the values for apparent visual magnitude and absolute visual magnitude?
  11. P

    Basics of Photometry and Magnitudes

    http://www.exoplanet.eu/catalog-all.php?&mode=0&more=yes". On one of the this it has for the for each exoplanet, in the list it gives the information about the parent star's properties especially its phototemetry. Specifically it lists star's the V-order, I-order, H-order, J-order, and K-order...
  12. F

    Ranking Torque Magnitudes About a Pivot Point | F=2F=2F=F | 60° & 30° Angles

    Homework Statement Rank the magnitude of the torques in the picture below about the marked pivot point from least to greatest (using <, >, =). The force magnitudes are in terms of F. a=2F and pointed up b=F and pointed down c=F pointed up and d=2F pointed down to the left with 60 degrees...
  13. F

    Fm1m2 = Fm3m2 - 14Force on Blocks: Find Magnitudes & Directions

    Homework Statement Blocks of mass 5, 10, and 25 kg are lined up from left to right in that order on a frictionless surface so each block is touching the next one. A rightward-pointing force of magnitude 14 N is applied to the left-most block. Homework Equations [a] What is the...
  14. T

    Magnitudes and Directions of Currents in Resistor

    Homework Statement please see attached picture. Homework Equations The Attempt at a Solution
  15. B

    Can we 'feel' magnitudes of distant forces?

    Some say that our body can 'feel' only contact forces, I want to confirm it. Suppose I am placed between two Earth's so that their gravitational forces on me are equal and opposite. Do I feel any 'pull' - as in tug of war the rope would feel if it had sensations? If Earth's are replaced by...
  16. R

    Difference in Magnitudes between two densities

    Homework Statement the question is to find the difference in magnitudes between the density of water which 0.995 and density of NaCl which is 1.0499 The Attempt at a Solution when speaking about the difference, I simply minus 1.0499 from 0.995 since magnitude means distance and...
  17. R

    I need to find magnitudes of forces

    Homework Statement I got a resultant force 28 degrees to the right of the positive y axis. The resultant value is 4200 N. There is one force 45 degrees to the right of the resultant force. The second force is 20 degrees to the left of the positive y axis. All I want to know is how I'm...
  18. R

    What are the magnitudes of the two force components?

    Homework Statement There is a resultant force going towards the positive x-axis at 500 lbf. Force 1 is going 45 degrees above the positive x axis. Force 2 is going 30 degrees below the positive x axis. What are magnitudes of Force 1 and Force 2? The Attempt at a Solution I wrote up...
  19. jegues

    Magnitudes, Resultant Force (missing angle)

    Homework Statement See attachement. Homework Equations The Attempt at a Solution I would be able to solve it if I could somehow find \phi to describe the angle of F3 relative to the positive x axis. Can anyone see how to solve that specific angle? Then and can simply sum as...
  20. D

    Two Vectors of Equal Magnitudes

    Homework Statement Two vectors A and B have precisely equal magnitudes. For the magnitude of A + B to be 25 times greater than the magnitude of A - B, what must be the angle between A and B? Hint Given: Without loss of generality, you could assume that A and B are unit vectors. Also, the...
  21. L

    Converting Intensity into magnitudes

    I need to convert the intensity, 130 counts per pixel into magnitudes per sq arc second. I have been given the radius as 5 arc sec, and a calibration constant, which is 30.8.
  22. P

    Multirange Ammeter magnitudes homework

    Can someone please help me out with this problem? I am not sure if what I am doing The question: The resistance of the moving coil of the galvanometer G in Fig. 26.73 is 48.0 ohms, and the galvanometer deflects full scale with a current of 0.0200 A. When the meter is connected to the...
  23. S

    Magnitudes of Blocks on Surface

    Homework Statement Three blocks are in contact with each other on a frictionless horizontal surface. A 402 N horizontal force is applied to the block with mass of 2.9 kg as shown in the figure below. The acceleration of gravity is 9.8 m/s2. a. What is the net force on the block with...
  24. P

    Finding Magnitudes of Displacement Vectors in Physics Homework

    This is my first semester of physics as I did not take it in high school and I am having a difficult time with this homework question. Any help would be greatly appreciated. Homework Statement The route followed by a hiker consists of three displacement vectors A, B, and C. Vector A is...
  25. D

    Engineering Statics Problem - Determining Magnitudes

    Homework Statement Two cables are used to secure the overhang boom in position and support the 1500N load. If the resultant force is directed along the boom from point A towards O, determine the magnitude of F_C(FsubC), F_B, and the resultant force, F_R. Set x= 1 and z= 4 . Homework...
  26. E

    Evaluating magnitudes of non-algebraic numbers

    Just like it is possible to show that e^\pi > \pi^e, is it possible to show that \sqrt{2}^{\sqrt{2}} > \frac{1+\sqrt{5}}{2} or \sqrt{2}^{\sqrt{2}} < \sqrt{3}
  27. M

    Determining the individual magnitudes of two stars

    Firstly please if you reply don't post the solution, rather the method you would use to get it as I'm trying to learn how to answer this kind of question for an exam. the problem (quoting my question paper): the stars S1 and S2 are seen along the same line of sight from Earth. Srat S1 is...
  28. W

    How to calc absolute magnitudes by comparing to the sun's luminosity

    hi guys, (i) By comparing with the luminosity of the Sun, calculate the absolute magnitude of a 60W light bulb. [The absolute magnitude of the Sun is +4:75; you may ignore colour differences between the bulb and the Sun.] (ii) The Hubble Space Telescope (HST) can detect objects as faint...
  29. C

    Using parallax and magnitudes.

    Hi, I am quite new to astronomy and was wondering whether I had done the following question correctly (some of my answers seem unrealistic). Plus, how many significant figures should questions like these be answered to? The star Rigel in the constellation of Orion has an apparent magnitude of...
  30. T

    Determining magnitudes of forces on a block

    A block of mass (2.20kg) is pushed 2.21m along a frictionless horizontal table by a constant 19.5 N force directed 26.4 deg below the horizontal. I have found the work done by the applied force, which is 3.86 J I got stuck after that...I still need help figuring out the following...
  31. Nebula

    Linear Transformation and Magnitudes

    Homework Statement From Calculus on Manifolds by Spivak: 1-10 If T:Rm -> Rn is a Linear Transformation show that there is a number M such that |T(h)| \leq M|h| for h\inRm Homework Equations T is a Linear Transformation => For All x,y \in Rn and scalar c 1. T(x+y)=T(x)+T(y) 2...
  32. F

    Vectors Magnitudes and Angles (Respect to the X Axis)

    Homework Statement a) If Vx = 18.00 units and Vy = -15.50 units, determine the magnitude of V. b) Determine the angle of V with respect to the x-axis. Homework Equations The Attempt at a Solution Yeah, Part B is pretty much the only one I don't get . a) Answer is 23.75 b)...
  33. R

    Astronomy Physics - Apparent Magnitudes

    Homework Statement The WIYN 3.5m telescope has a multi-object spectrograph called “Hydra.” The instrument has 100 independently deployable fibers that can be placed anywhere over a 1 degree field of view (FoV). Assume the FoV is a circle one degree in diameter. You can get a spectrum...
  34. Q

    Two forces act on a object with different magnitudes and direction

    Homework Statement Two forces act on a 48 kg object. One force has magnitude 65N directed 59° clockwise from the positive x-axis and the other has a magnitude 35N at 32° clockwise from the positive y-axis. What is the magnitude of this object's acceleration? Homework Equations F = ma...
  35. N

    Helicopter accelerates while liftin what are the forces' magnitudes?

    Homework Statement A 7690 kg helicopter accelerates upward at 0.80 m/s2 while lifting a 1260 kg frame at a construction site. (a) What is the lift force exerted by the air on the helicopter rotors? (b) What is the tension in the cable (ignore its mass) that connects the frame to the...
  36. O

    How do I find the correct magnitude using vectors and magnitudes?

    Hey guys, I am posting this question because I don't know what it is asking of me. Here it is: Any tips or help would be nice. Thanks.
  37. B

    What is the order of increasing magnitudes for the given set of 3D vectors?

    Five vectors are listed below. Select them in order of increasing magnitudes, from shortest to longest. If B is smallest, then A, C, D, and finally E is the largest, enter BACDE (Note: If of equal length, then enter in the order listed.) A) 17i-23j-23k B) 22i+30j C) 18i-28j-26k D) 37k...
  38. W

    How Do You Calculate the Magnitude of the Sum of Two Vectors?

    Homework Statement Vector \vec{A} has magnitude 3.6 units; vector\vec{B} has magnitude 5.9 units. The angle between A and B is 45°. What is the magnitude of \vec{A} + \vec{B}? Homework Equations \DeltaV= \sqrt{V^2x +V^2y} "SohCahToa" The Attempt at a Solution I am really...
  39. J

    Vector Magnitudes given only direction-help

    Vector Magnitudes given only direction--help! Homework Statement You leave your campsite to go get supplies at a store. You travel 230M at an angle 31 degrees south of east to get there(I'll call this vector A for simplicity's sake). On the way back to camp, you go a distance B at 43 degrees...
  40. DaveC426913

    Intensities and magnitudes in natural science

    My friend edits grade school textbooks and often has science questions. While I pretty much know the answers, I like to get them verified from more reliable sources. This is once such question asked: This was my response: True? I mean is this why Earthquakes are measured as magnitudes...
  41. R

    Calculating Absolute Magnitude of a Star - Red's Help

    Can anyone help me get my head around this one? A star with a parallax angle of pi = 10 millisecs and has apparent magnitude of V= 10.2 How can I determine absolute magnitude: I have the formula M=v -5logd -5 +A which can be ignored. d=1/pi but I am always determining d which is less than...
  42. B

    Can two stars have the same apparent but different absolute magnitudes

    Can two stars have the same apparent magnitudes but different absolute magnitudes? what about if two stars have the same absolute magnitudes but different apparent magnitudes?
  43. M

    Calculate Components of Hammer's Velocity at Edge of Roof

    1. A hammer slides down a roof that makes a 32.0 degree angle with the horizontal. 2. a.) What are the magnitudes of the components of the hammer's velocity at the edge of the roof if it is moving at a speed of 6.25 meters per second? b.) Calculate the components of the hammer's velocity at...
  44. M

    Physics Problem: Magnitudes and Components

    A hammer slides down a roof that makes a 32.0 degree angle with the horizontal. a.) What are the magnitudes of the components of the hammer's velocity at the edge of the roof if it is moving at a speed of 6.25 meters per second? b.) Calculate the components of the hammer's velocity at...
  45. P

    Find the magnitudes of the impulse on him from the water

    [SOLVED] IMPULSE, i need HELP! Homework Statement Until he was in his seventies, Henri LaMothe excited audiences by belly-flopping from a height of 11 m into 30 cm. of water (Figure 9-49). Assuming that he stops just as he reaches the bottom of the water and estimating his mass to be 76 kg...
  46. J

    Magnitude of Forces: Block Motion on a Ramp

    Homework Statement A block is on a ramp. What is happening to the block for each of the following situations?: 1. fk(down the ramp) 2. fs(up the ramp) < w,x(down) 3. Tension(up) > fk(down) + w,x(down) 4. fk(up) < w,x(down)..FBD also looks like fk(up) magnitude is equal to fs(up) from 2...
  47. C

    What is the magnitude of the position vector at time t = 7.5 s?

    A particle moves in the x-y plane with constant acceleration. At time t = 0 s, the position vector for the particle is d = 1.8 m x + 4.2 m y. The acceleration is given by the vector a = 1.5 m/s2 x + 6.2 m/s2 y. The velocity vector at time t = 0 s is v = 1.7 m/s x - 1.7 m/s y. What is the...
  48. S

    Absolute Magnitudes for Cepheids

    Would somebody help me in entering a calculation into my scientific calculator? The equation is Mv = - [2.76 log10(P) – 1.0)] – 4.16 I have the value of P but I'm not sure how to enter this into the calculator. I get a different answer every time. Thanks,
  49. N

    Two vectors have magnitudes of 10 and 15

    Hey I'm just having trouble with this question Two vectors have magnitudes of 10 and 15. The angle between them when they are drawn with their tails at the same point is 65 deg. The component of the longer vector along the line perpendicular to the shorter vector, in the plane of the vectors...
  50. S

    What is the difference in magnitude between two stars with varying distances?

    Homework Statement One star is intrinsically 100 times brighter than the other. If the brighter star is twice as far away as the dimmer star, what is the difference in their m values and their M values. Homework Equations None were given. The Attempt at a Solution The equation...
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