User:5849206328x: Difference between revisions

Revision as of 16:06, 19 July 2015

$[asy] import slopefield; size(288); real e = 2.718281828459045235360287471352662497757247093699959574966967627724076630353; real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286; // Label f; // f.p=fontsize(6); xaxis(0,5); yaxis(-2,3); real f(real x) { return 3 * (-1/x + 1/(2*x^2)); } //pair g(real t, real k) { return (1/k * 3/5 * (1 - e^(-k * t)), -t/k + 1/k * (4/5 + 1/k) * (1 - e^(-k * t))); } draw(graph(f,0.0001,5)); draw((-0.2,-1.5)--(1,-1.5)--(1,0),dashed); label("$V$",(0,3),W); label("$0$",(0,0),W); label("$E_{min}$",(-0.2,-1.5),W); label("$r_{*}$",(1,0),N); label("$r$",(5,0),E); limits((-1,-2),(5.2,3.2),Crop); [/asy]$

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User:5849206328x: Difference between revisions

Revision as of 16:06, 19 July 2015

@@ Line 2: / Line 2: @@
 import slopefield;
-size(216);
+size(288);
 real e  = 2.718281828459045235360287471352662497757247093699959574966967627724076630353;
@@ Line 9: / Line 9: @@
 // Label f;
 // f.p=fontsize(6);
-//xaxis(0,5);
+xaxis(0,5);
-//yaxis(0,5);
+yaxis(-2,3);
-//real f(real x) { return (2/3) * (e^(-15 * x) + e^((-5/3) * x)); }
+real f(real x) { return 3 * (-1/x + 1/(2*x^2)); }
 //pair g(real t, real k) { return (1/k * 3/5 * (1 - e^(-k * t)), -t/k + 1/k * (4/5 + 1/k) * (1 - e^(-k * t))); }
-//draw(graph(f,0,4));
+draw(graph(f,0.0001,5)); draw((-0.2,-1.5)--(1,-1.5)--(1,0),dashed);
-dot((0,0)); draw(circle((0,0),80)); dot((64,48));
+label("$V$",(0,3),W); label("$0$",(0,0),W); label("$E_{min}$",(-0.2,-1.5),W);
-draw((64,48)--(28,21),EndArrow); draw((64,48)--(28,96),EndArrow);
+label("$r_{*}$",(1,0),N); label("$r$",(5,0),E);
-label("$m$",(64,48),NE); label("$\dot{\mathbf{r}}$",(28,96),NE); label("$-\frac{mv^2}{r}\hat{\mathbf{r}}$",(28,21),SE);
-//limits((0,-2),(4,2),Crop);
+limits((-1,-2),(5.2,3.2),Crop);
 </asy>