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OpenGL Planet/moon rotation in OpenGL solar systems

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Vindicator    134
Hi everyone. =) I am trying to create a solar system in OpenGL, and have some trouble with rotation. I have managed to make planets rotate around the sun, by using glRotatef(v, -0.1 , 1 , 0.2); right before I create the sun and all the planet, and placing the sun with the center at the point 0,0,0. However, what I also want to do is to make it possible for moons to rotate around the rotating planets, and making the planets rotate around their own axis (like they do in reality when switching between day and night - one side isn´t always facing the sun). This is the code for how I did to create the solar system:

//creates a planet, and binds the texture if tex isn´t higher than the texture index.
void createPlanet(GLfloat k, int x, int y, int tex) {
 if (tex < MAX_NO_TEXTURES) { glBindTexture(GL_TEXTURE_2D, texture_id[tex]);};
  glutSolidSphere(k, x, y);

//Draws and rotates the solar system.
void createSolarsystem()
 glRotatef(v, -0.1 , 1 , 0.2);
 glMaterialfv(GL_FRONT, GL_SPECULAR, mat_specular);
 glMaterialfv(GL_FRONT, GL_SHININESS, mat_shininess);
 createPlanet(2.5, 12, 12, 0); //creates the sun (a bit bigger than the planets, texture 0).
 glTranslatef(0.0, 0.0, 6.0);
 createPlanet(1.0, 10, 10, 1); //creates the earth, texture 1, 40% of the sun´s size.)
 glTranslatef(0.0, 0.0, -11.0);
 createPlanet(1.0, 12, 12 , 2); //creates mars, texture 2, the same size as the earth).

//display function
void display()
  glLightfv(GL_LIGHT0, GL_POSITION, light_position);
  glMaterialfv(GL_FRONT, GL_SPECULAR, mat_specular);
  glMaterialfv(GL_FRONT, GL_SHININESS, mat_shininess);
  createSolarsystem(); //creates the solar system

If any of you have any ideas about how I could do to rotate planets surface and moons, that would be great. Thanks. =)

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stevenmarky    369
You have your sun at the center of the solar system
and you gave the earth a matrix that makes it rotate with time.
You also have a similar matrix for the moon, but it's relative to itself (which you don't want) so to do it relativly you just multiply the matrices together (earth*moon)=moonabsolutematrix; this is the matrix that you draw the moon with.

Actually it's not a straight matrix multiplication because the orientation of the earth does not affect the orientation of the moon, so in this planet example you want:

vector3 moonDistance(100.0f, 0.0f, 0.0f); // However far away the moon is from the earth
vector3 absoluteMoonPosition=earthmatrix.transform(moonDistance); // Transform the moon position into world coordinates
vector3 moonRotation= what you want (constant speed rotation)
combine the position and rotation here into a single matrix for the moon

Edit: I hope you can understand this, maybe my description isn't as clear as it should be. Basically you need to multiply vectors by matrices. I'm not very experienced with opengl so I can't post code.

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Vindicator    134
Thanks. =)
I´m not quite sure that I understand this.. I´ve failed the course in Linear Algebra both this autumn and the year before that, so that might be why.
Is there some way to automatically generate the matrix with the earth corodinates, so that I can use it in the formulas you described above, to create the moon matrix?
Because all I did was to create the earth, then rotated it around the sun with glRotate - I never changed its position coordinates manually.

Do you know if it is possible to do it by having a rotation around a planet inside the rotation around the sun instead of using matrix multiplication?

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stevenmarky    369
I had a quick look at some opengl tutorials.
The easiest way is to do:

// draw Earth here
glTranslatef(10.0f, 0.0f, 0.0f); // The distance from earth to moon
// Draw moon here

This method is fine if your planets are totally spherical/symmetrical.
But if not you will see how the rotation of the moon changes with the earths.
I have no idea how to set the rotation not to be multiplied with the previous matrix in OpenGL yet :/
Wait...I think I've got it:

glTranslate(100.0f, 0.0f, 0.0f); // The distance from sun to earth

glTranslate(10.0f, 0.0f, 0.0f); // The distance from earth to moon
glRotatef(.....) // Your rotation for the moon (increment it each frame)
// Draw the moon here

glRotate(....); // The rotation for the earth (increment it each frame)
// Draw the earth here

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Vindicator    134
They are spheres... so that won´t be any problem. :)
However, I tried to do like you said:

glTranslatef(0.0, 0.0, 6.0); //earth is 6 away from the sun
glTranslatef(0.0, 0.0, -1.5); //moon is -1.5 away from the center of the earth
glRotatef((1.5 * v), -0.1 , 0.0 , 1); //moon rotation
createPlanet(0.3, 16, 16 , 2); //creates the moon
glRotatef((2 * v), -0.1 , 0.1 , 1); //earth rotation
createPlanet(1.0, 16, 16, 1); //create earth

but it seems like there is still something wrong. The moon is rotating around the sun, just like the earth is doing, and the earth is not rotating either.. so I guess that way didn´t work after all. :i

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Vindicator    134
I managed to make it work now. =) It wasn´t the code above which was the big problem, but that I had used both glTexGeni(GL_T, GL_TEXTURE_GEN_MODE, GL_SPHERE_MAP); and glTexGeni(GL_S, GL_TEXTURE_GEN_MODE, GL_SPHERE_MAP); earlier in the code - if I only use glTexGeni(GL_T, GL_TEXTURE_GEN_MODE, GL_SPHERE_MAP), the textures rotate with the planets (although they look a bit worse, but ýou can barely see that because of the shadows).

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