Mathematica truncates my curves

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SUMMARY

This discussion centers on the issue of curve truncation in Mathematica when plotting the effective gravitational potential with angular momentum. The user experiences significant truncation near the vertical asymptote at r = 0, which is expected due to the function's divergence. The solution identified is to utilize the

ParametricPlot

function instead of the standard

Plot

function to achieve a more accurate representation of the curves within the range of r = 0 to r = 10.

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  • Understanding of

    parametric equations

  • Knowledge of

    graphing functions

    and their asymptotic behavior
  • Basic concepts of

    effective gravitational potential

NEXT STEPS

  • Research the

    ParametricPlot

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    in mathematical plots
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    and its implications in graphing
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Mathematics students, physicists, and researchers using Mathematica for plotting complex functions, particularly those dealing with asymptotic behavior and parametric equations.

Barnak
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I'm ploting a simple function (the effective gravitationnal potentiel with angular momentum part) with Mathematica, and I'm getting some truncated curves close to the vertical asymptote located at r = 0 (see the picture below). Of course, this is normal since the function V(r) diverges at r = 0, but why Mathematica is truncating the first two curves that much ? How can I tell it to draw the curves more closely to the left ?

I'm ploting the curves in the range r = 0 to r = 10, so I should get some better extended curves...

What Mathematica command should I add to get better curves ?
 

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Aaah ! I've found it ! Just use ParametricPlot instead of a simple Plot.

See the picture below :
 

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