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Computational Physics - Scaling

  1. Jan 8, 2005 #1
    Hi all,

    I am not sure if I'm posting on the right place. I am currently working on a computational project. It's about simulating a system with two non-test masses and a bunch of test masses. The instruction sheet says that we should "scale the problem carefully by setting the units such that the non-test masses have a mass of 1 and G, the universal gravitation constant, equals 1."

    The lecturer did a bad job explaining what scaling really is, and I am not sure what exactly I should do concerning scaling here. Could someone give me a hand?
     
  2. jcsd
  3. Jan 8, 2005 #2

    HallsofIvy

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    What you write doesn't make a whole lot of sense. If you had one mass, you could certainly choose ITS mass as the "unit of mass" and so it would have mass 1- you would then "scale" by dividing all other masses by the "unit" mass.

    However, if you have "two non-test masses", unless they are both the same mass, obviously you can't have both with mass 1.


    Once you have selected a given unit of mass, setting G (I presume you don't mean "g") equal to 1 is a matter of choosing an appropriate distance measure.
     
  4. Jan 8, 2005 #3
    HallsofIvy,

    Thank you for your help, I have been desperately looking for reply.

    First of all, you are right that the two non-test masses have equal masses. I am not sure why you commented that "obviously you can't have both with mass 1".

    And after having selected a given unit of mass, setting G equal to 1 is "a matter of choosing an appropriate distance measure" as you mentioned. To be explicit, I have two questions:

    1. Do I need to 'scale' both distance and time?
    2. Is it true that I have to divide distance by the sqrt of G in order to scale it?

    Many thanks!
     
  5. Jan 8, 2005 #4

    HallsofIvy

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    You said you had two "non-test masses". You didn't say they were the same. What exactly IS a "non-test mass"??
    G has units of [itex]\frac{m^3}{(kg)(sec^2)} Yes, you will need to scale all of them. The point is choosing each of those so that G is 1.
     
  6. Jan 8, 2005 #5
    When I said 'test mass' I mean that they will not exert any gravitational attraction onto the other test/non-test masses (they of course REACT to the attraction of the non-test masses). So you can say that there are only two sources of gravitational attraction.

    Cheers
     
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