Some time ago, I have used the Virtual 3D Solar System code to plot a few interesting figures with asteroids. It can be found here: http://www.maplesoft.com/applications/view.aspx?SID=4484&view=html . I plotted the asteroid belt as a closed, warped surface according to how the asteroids are inclined, with the arguments of perihelion and longitude of ascending node where they cross the equatorial plane to the other celestial hemisphere. The plot was only done with axes in units of distances, for convenience's sake in astronomical units of 1 AU = 150 million km.

But I am strongly wondering if it were somehow possible to alter or adjust the code such that there is a zylinder placed around such plot where one can see celestial coordinates (Rectascension, Declination) on the inside, so that if one wants to know what coordinates an orbit of a specific asteroid has that one can look in the chart and go out on the balcony and set the telescope to these coordinates. Of course the asteroid most likely is not there on his entire orbital path, but you have at least the location where the asteroid CAN be. Would this be possible to plot?

This probably doesn't work if a closed cylinder is placed around the Virtual Solar System. But how about scrolling the cylinder and the orbits flat on a 2D plot?

Hello,

I am using algorithmic variables to generate questions about the greatest common divisor of two integers.

Unforuntately the integers come out as 1,664 instead of simply 1664 (for example). How can I change the format to the simple version ?

Thanks for your help!

Elisabeth

hello dear,

I was intersted in finding Weyl scalars for a given metric, would be really helpful if anyone can give me an example of how to find a Weyl Scalar for a given metric or set of null tetrads using Debever formalism in Tensor package(more specifically, how to define h in debever formalism for a given set of null tetrad or for a given metric).

Regards,
Suresh

hello,
I try to draw together point (0,0,12) and the line  x=4t, y=-2t, z=2t on one graph 3D. Somebody has some pointers? Thank you 
Agnieszka

Dear all

I have such an expression in the file (test.mw). Obviously it is not a simple form. 10⁹ should be cancelled both in denominator and nominator. I have applied the function simplify(). However, it doesn't work.  I hope someone can do me a favor. That will help me a lot. Thanks

I am solving a complicated ODE and I would like to know if there is a way for Maple to output the ODEs without doing any numerical substitutions for known parameters. Say one of my parameters, call it P, is initialized (there are many more but Ill just simplify and consider one here) to a value of 10. In order to chekc that I have coded the ODEs correctly it would help me if Maple does not substitue with the numerical value 10 for P when displayng teh ODEs, but rather keeps P, as a parameter. Is there a way to achieve this?

hi.please help me for solve algebric equations below?

solve or fsolve dos not any answer?

i think use Newton  Raphson, because solve or fsolve not work.

thankscomparision.mw

Download comparision.mw

if three particles set into 3 energy states ( each values of energy states 0 , e, 2e)

how to calculate P in each configuration by a particle that follows boson and f-b

thank you

I'm having trouble plotting a couple things. I have

eq := diff(y(x), x$3)+3*diff(y(x),x$2)+12*y(x);
soln := dsolve(eq, y(x));
soln := evalf(soln);
PartSoln1 := dsolve({eq, y(0) = a,y'(0) = 0,y''(0) = 0}, y(x));
curves := {seq(PartSoln1, a = -3 .. 3)};
Then when I try plot(curves, x = -1..5, y = -5..5); I get Warning, expecting only range variable x in expression PartSoln1 to be plotted but found name PartSoln1.

Also,
charEq := r^3+r+1 = 0;
soln := solve(charEq, r);
soln := [evalf(soln, 5)];
soln := map(Re, soln);

I tried a few things, but can't figure out how to plot charEq, including the real roots.

Thanks for any help,

Heather

Here is a code

Maple Worksheet - Error

Failed to load the worksheet /maplenet/convert/EQ.mw .

Download EQ.mw

A fragment of code

for b in extra_bcs do try print(b = 10^(-2)); res[b] := dsolve(dsys4 union {b = 10^(-2)}, numeric, initmesh = 2024, output = listprocedure, approxsoln = [omega2 = 0.1e-2, s(x) = cosh(upsilon*x)-cos(upsilon*x)-(cosh(upsilon)+cos(upsilon))*(sinh(upsilon*x)-sin(upsilon*x))/(sinh(upsilon)+sin(upsilon)), g(x) = sin(((2*n+1)*(1/2))*Pi)], abserr = 0.1e-1) catch: print(lasterror) end try end do; indx := indices(res, nolist); nops([indx]); res[indx[i]]; seq(subs(res[indx[i]](1), omega2(1)), i = 1 .. nops([indx]))

Hello everybody,

I have an interesting math problem, here it is:

Add the following operators: +, -, * in the middle of the following string 123456789 to get the final result: 2016

The operators can be added randomly at any place, it isn't necessarily placed in between single numbers.

To convince your result, one should provide the code or explain explicitly your method.

Have fun!!!!

hi.

how i can select or chose proper polynomials or another functions that attached boundary conditions at points zero and one , weakly or strongly satisfy??polynomial.mw

Download polynomial.mw

thanks...

hi.i calculate this integral numerically but after use this result in my differential equation which is involve f3(x), i enconter with error

i found that this problem is due to answer of this integtal.may i use another way to calculte it?as shown power in result are very large!!!

Download integral.mwintegral.mw

thanks..

I have written a code which generates a Gaussian like curve as a set of points and have written some basic commands to find several important quantities from the plot. The three of importance here are the peak position, peak height and Full Width at Half Maximum.

See the attached minimal working example maple worksheet.

It can find the peak position and the peak height no problem, but another quantity I want it to find is the Full Width at Half Maximum (FWHM). I use the aforementioned calculated values to find the left and right components of the FWHM but the fsolve command just hangs.

In the worksheet this is not evident but in the much longer full code which I run through the terminal and prints the values to a file, it begins the fsolve command and reaches a particular value and it just hangs. No amount of waiting time makes it continue the calculation.

However if I use an approximate integration scheme (such as Riemann sums) then the fsolve part executed perfectly. fslove seems to get stuck during the numerical integration step.

There is probably an easy answer to this problem which I am missing. Any help is appreciated.

fsolve_numerical_integration.mw

- Yeti

is there any command to plot ternarry plots that show the relationsh between three sets of data? For example check the link

https://en.wikipedia.org/wiki/Ternary_plot