MaplePrimes Questions

I'm struggling to find the Undo botton, according to the help file they should reside under "View" menu - select Toolbar.

I can't find any "Toolbar" in the View menu.

How do I make indents in Maple 2025 for more readable layout?

Haven't used that much in 2024, but according to help this should be in Format - Tab settings. I don't find that in 2025 unfortunately.

I know of 3 ways to remove RootOf, but sometimes they give different result. How does one decide which to use? This is done in code. So method to decide can't depend on looking at the screen and see which result one "likes" more than the other.

Is allvalues() the one to use all the time? Could one of these 3 methods fail, and then one has to try the next one?

 

interface(version);

`Standard Worksheet Interface, Maple 2025.0, Linux, March 24 2025 Build ID 1909157`

Physics:-Version();

`The "Physics Updates" version in the MapleCloud is 1859 and is the same as the version installed in this computer, created 2025, April 6, 14:34 hours Pacific Time.`

restart

e:=y*4^(1/3)*((4*x^2*RootOf(_Z^2*y - 4*_Z*x + y) - y^2*RootOf(_Z^2*y - 4*_Z*x + y) - x*y)/y^2)^(1/3) - _C2;

y*4^(1/3)*((4*x^2*RootOf(_Z^2*y-4*_Z*x+y)-y^2*RootOf(_Z^2*y-4*_Z*x+y)-x*y)/y^2)^(1/3)-_C2

convert(e,radical)

y*4^(1/3)*((4*x^2*(2*x+(4*x^2-y^2)^(1/2))/y-y*(2*x+(4*x^2-y^2)^(1/2))-x*y)/y^2)^(1/3)-_C2

DEtools:-remove_RootOf(e)

(1/16)*(c__2^3+4*x*y^2)^2/(y*(4*x^2-y^2)^2)-(c__2^3+4*x*y^2)*x/(y*(4*x^2-y^2))+y = 0

allvalues( e)

y*4^(1/3)*((4*x^2*(2*x+(4*x^2-y^2)^(1/2))/y-y*(2*x+(4*x^2-y^2)^(1/2))-x*y)/y^2)^(1/3)-c__2, y*4^(1/3)*((-4*x^2*(-2*x+(4*x^2-y^2)^(1/2))/y+y*(-2*x+(4*x^2-y^2)^(1/2))-x*y)/y^2)^(1/3)-c__2


 

Download removing_rootof_april_7_2025.mw

I am studying the Julia sets. I have tried the following two codes to generate Julia Sets. The first one I found in Maple Help, and the second one from http://ftp.informatik.rwth-aachen.de/maple/mfrjulfn.htm. I am wondering if there exists another code to generate the Julia set. My question is just for educational purposes, because those two codes work fine.
 

with(Fractals:-EscapeTime); with(ImageTools); bl, ur := -2.0-1.5*I, 2.0+1.5*I; c := -1; J := Julia(700, bl, ur, c, cutoff = 4, iterationlimit = 6000, output = layer1); Embed(J)

restart; julfn_zsqrd := proc (x, y) local c, z, m; c := evalf(0); z := evalf(x+I*y); for m from 0 to 50 while abs(z) < 2 do z := -z^2+z end do; m end proc; plot3d(0, -1.0 .. 2.0, -2.0 .. 2.0, style = patchnogrid, orientation = [-90, 0], grid = [250, 250], scaling = constrained, color = julfn_zsqrd)

 

NULL


 

Download Julia_Sets.mw

With the new Maple-2025 the GUI-fonts are tiny and more or less not readable on a 5K Monitor. The old solution using this options here:

JVM_OPTIONS="-Dsun.java2d.pmoffscreen=false -Djogamp.gluegen.UseTempJarCache=false -Dswing.plaf.metal.userFont=\"Tahoma-36\" -Dswing.plaf.metal.controlFont=\"Tahoma-36\" "

does not change the GUI fonts, as it has worked up to Maple 2024. 

Is there a single-source fractional calculus toolbox, or collection of tools, available for Maple ? There appears to be the odd routine for fractional derivatives or DE's, but nothing of a systemic nature.

Hello,

Is there a special command in Maple (whatever the version) which returns all functions available?

ex: ?*sol* which at least will return solve,dsolve etc.

Thank you and kind regards to everyone.

Jean-Michel

As I was numerically investigating this recent question I incidentally discovered a strange behaviour of Maple 2015 (which maybe exists in more recent versions?)

The attached worksheet presents an erratic behaviour (plus a remanance isssue because saving it, and opening it again changes the displays).
Note that this strange behaviour seems to occur only when tickmarks use the atomic name `#mo("2")`.

display_issue.mw

Here is a pdf print of this same worksheet: as I hope you will see (because I don't know what you are about to see when opening the attached worksheet) its content differs from the worksheet's. 

display_issue.pdf

Here are 3 screen captures which show what MY worksheet looks like

PAGE 1


PAGE 2
There is a typo in the comment below: read "void" instead of "coid", sorry for the mistake.


PAGE 3


Is this a Maple 2015 issue which has been fixed in earlier versions?
Is there a way to fix these issues?

The attached file "test" asks for the largest power of two contained as a factor in a term. This is easily solved using "simplify." How can this be achieved using factorization?

test.mw

I'm updating to Maple 2025. Are there any feature differences between Linux and Windows versions?

Thanks.

Thanks for the help with the recursion problem, here's a very challenging problem for the weekend ;-). It should be solvable in Maple, at least for examples. I only know of one very theoretical, unfinished solution that I'm still working on:
Given a closed convex curve in the Euclidean plane. It is multiply continuously differentiable, and the curvature is also continuous.
Then there are at least three pairs of points on the curve with the following property:
The tangents at the points of each pair are parallel to each other, and the curvatures are equal.

A lot of time i finded but i have a dubt about this why this is happen each time number of equation for finding parameter a_12 is 4 but this time is 28 which i thoght some thing must be mistake also the author of paper use  u=2(ln(f))_xx which is wronge and not satisfy but i try to find R which is strange again is not number contain parameter but is satisfy also in equation 14 i don't know each i is 2 or 1 or it can be i remain itself?

thanks for any help ?

t1.mw

According to the attached file "test" I would like to determine the limit of the function f(n,x) for n-->00 as an exercise. I'm asking for advice on using "rsolve". I also want to calculate the limit of sqrt((n/3))*f(n,x) for n-->00 using f(n,x) from the file "test". I also need help with this. (This isn't a school assignment ;-).)

test.mw

How can I upload and attach a file here?

Either a worksheet or a text file?

"Approximation of ODE's with Cubic Splines.mw"

or

package "ODECSplines.mpl"

I encountered this bizarre inconsistency issue that Maple18 generates different outputs when executing the same command:

test_res2:= factor( simplify( expand( value( subs( Perturbation_Sol, EQ_PX2_order_7 ) ) ) ) )

'EQ_PX2_order_7' is a rational expression in sin(i0), cos(i0), sin(uL), and cos(uL) with rational coefficient terms. It also has inert differentiation terms Diff( * , uL ).

'Perturbation_Sol' is a set of 171 elements in the form of 'parameter_name = expression'.

My goal is to check if substituting 'Perturbation_Sol' into 'EQ_PX2_order_7' yields 0. Since 'EQ_PX2_order_7' has inert differentiation terms, I've applied 'value' after using 'subs'. Then I apply 'expand', 'simplify', and 'factor' to reduce the result to the simplest form.

However, Maple18 generates different outputs when I just execute this repeatedly. Please see the worksheet "test.mw" for details. Any insight will be greatly appreciated! Also, I wonder if the same issue would happen when the worksheet is executed with newer versions of Maple.

EQN_SOL_test1.mla

test.mw

 

 

I encountered the problem with .m files originally. But MaplePrimes doesn't allow uploading .m files, so I had to save the expressions into the file "EQN_SOL_test1.mla", which is included in this question. Below we load the expressions from the .mla file first, and then save them into a .m file in order to recreate the problem that I encountered.

restart;

>

 

read "EQN_SOL_test1.mla":

# Load 'EQ_PX2_order_7' and 'Perturbation_Sol'

 

save

EQ_PX2_order_7,
Perturbation_Sol,

"EQN_SOL_test1_m.m";

# Save the expressions into a .m file

 

Now we demonstrate the inconsistency problem with .m files. Notice that Maple generates 3 possible outputs:

test_res2 := 0

test_res2 := -(1/4)*rho0^2*a0^2*Be^2*cos(uL)*J2re*R_earth^2*(5*cos(i0)^2*cos(uL)^2-7*cos(i0)^2-5*cos(uL)^2+4)/sha

 

test_res2 := -(1/8)*rho0^2*a0^2*Be^2*cos(uL)*J2re*R_earth^2*(5*cos(i0)^2*cos(uL)^2-7*cos(i0)^2-5*cos(uL)^2+4)/sha

 

The last 2 outputs cannot be reduced to 0 since 5*cos(i0)^2*cos(uL)^2-7*cos(i0)^2-5*cos(uL)^2+4 is nonzero as shown below.

 

 

plot3d( 5*cos(i0)^2*cos(uL)^2-7*cos(i0)^2-5*cos(uL)^2+4 , uL=0..2*Pi, i0=0..2*Pi );

 
 

restart;

 

read "EQN_SOL_test1_m.m":

 

length( EQ_PX2_order_7 );

939346

(1)

length( Perturbation_Sol );

2082306

(2)

numelems( Perturbation_Sol );

171

(3)

Perturbation_Sol[1..5];

# Just to give an example of what the elements in 'Perturbation_Sol' look like

{PX1[1] = 0, PX1[2] = 0, PX1[3] = -(1/4)*rho0*a0*Be, PX1[4] = (1/2)*rho0*a0*Be*WEra*cos(i0)-(3/16)*R_earth^2*a0*rho0*(3*cos(i0)^2-1)*J2re*Be/sha+(1/4)*Be*a0*rho0*X10[3]/sha, PX1[5] = (1/4)*rho0*a0*X10[4]*Be/sha-(1/256)*R_earth^4*a0*rho0*(163*cos(i0)^4-110*cos(i0)^2+19)*J2re^2*Be/sha^2+(3/16)*R_earth^2*a0*rho0*(3*cos(i0)^2-1)*J2re*Be*X10[3]/sha^2+(3/8)*cos(i0)*R_earth^2*WEra*a0*rho0*(3*cos(i0)^2-1)*J2re*Be/sha-(1/48)*Be^3*a0^3*rho0^3*s1/sha^2-(1/8)*Be*a0*rho0*X10[3]^2/sha^2-(1/2)*cos(i0)*WEra*a0*rho0*Be*X10[3]/sha-(1/16)*rho0*a0*(3*cos(i0)^2+1)*Be*WEra^2-(1/32)*Be^2*J2re*R_earth^2*a0^2*rho0^2*sin(i0)^2*sin(2*uL)/sha^2}

(4)

 

 

for j from 1 to 50 do
    test_res2:= factor( simplify( expand( value( subs( Perturbation_Sol, EQ_PX2_order_7 ) ) ) ) );
end do;

-(1/4)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

0

 

-(1/4)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/4)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/4)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/4)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

0

 

0

 

-(1/4)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/4)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

0

 

0

 

0

 

0

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

0

 

-(1/4)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/4)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

0

 

0

 

-(1/4)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/4)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

0

 

0

 

0

 

0

 

0

 

0

 

0

 

0

 

0

 

-(1/4)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/4)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/4)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/4)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/4)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/4)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/4)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/4)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/4)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/4)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/4)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/4)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/4)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/4)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

0

 

0

 

-(1/4)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

0

(5)

 

 

It seems that with .mla files the problem occurs in a different way! With "EQN_SOL_test1.mla", the outputs for all 50 iterations stay the same as

test_res2 := -(1/4)*rho0^2*a0^2*Be^2*cos(uL)*J2re*R_earth^2*(5*cos(i0)^2*cos(uL)^2-7*cos(i0)^2-5*cos(uL)^2+4)/sha               (A)

 

but they may all change to the following different result after retarting many times:

test_res2 := -(1/8)*rho0^2*a0^2*Be^2*cos(uL)*J2re*R_earth^2*(5*cos(i0)^2*cos(uL)^2-7*cos(i0)^2-5*cos(uL)^2+4)/sha               (B)

 

In particular, after a large number of test runs (i.e., open the file "test.mw", execute the worksheet, close the file, and repeat), the result (B) has only occured twice. The second appearance is saved here for you to view. Once you re-execute this worksheet, most likely all outputs below will change back to (A), and (B) will only reappear after a large number of reruns.

 

restart;

 

read "EQN_SOL_test1.mla":

# Load 'EQ_PX2_order_7' and 'Perturbation_Sol'

 

 

for j from 1 to 50 do
    test_res2:= factor( simplify( expand( value( subs( Perturbation_Sol, EQ_PX2_order_7 ) ) ) ) );
end do;

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

 

-(1/8)*rho0^2*a0^2*Be^2*cos(uL)*R_earth^2*J2re*(5*cos(uL)^2*cos(i0)^2-5*cos(uL)^2-7*cos(i0)^2+4)/sha

(6)

 

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