Orbiting And Spinning Rotation in OpenGL using GLM - c++

Question

I'm making a solar system in OpenGL and I want the planets to be able to orbit other planets as well as rotate around their own centers.
This is the code I'm currently using to make the planets orbit a specific point:
Model = glm::translate(Model, glm::vec3(-orbit_radius_, 0.0f, 0.0f));
Model = glm::rotate(Model, glm::radians(orbit_speed_) / 100.0f, glm::vec3(0.0f, 1.0f, 0.0f));
Model = glm::translate(Model, glm::vec3(orbit_radius_, 0.0f, 0.0f));
How would I combine this with a transformation that spins the object around itself?

Answer 1

I got it to work by just splitting then transformations and then combining them at the end.
rotate_ = glm::translate(rotate_, glm::vec3(-orbit_radius_, 0.0f, 0.0f));
rotate_ = glm::rotate(rotate_, glm::radians(orbit_speed_) / 100.0f, glm::vec3(0.0f, 1.0f, 0.0f));
rotate_ = glm::translate(rotate_, glm::vec3(orbit_radius_, 0.0f, 0.0f));
spin_ = glm::rotate(spin_, glm::radians(spin_speed_) / 100.0f, glm::vec3(0.0f, 1.0f, 0.0f));
final_ = rotate_ * spin_;

Answer 2

If you want to spinn and rotate an object, the I recommend to create an object which has its center at (0, 0, 0)
The self spinning of the object has to be do first. Then translate and rotate the object:
Model = rotate * translate * spinn
e.g.:
rot_angle += glm::radians(orbit_speed_) / 100.0f;
spin_angle += glm::radians(orbit_speed_) / 100.0f;
glm::vec3 tvec = glm::vec3(orbit_radius_, 0.0f, 0.0f);
glm::vec3 axis = glm::vec3(0.0f, 1.0f, 0.0f)
glm::mat4 translate = glm::translate(glm::mat(1.0f), tvec);
glm::mat4 rotate = glm::rotate(glm::mat(1.0f), rot_angle, axis);
glm::mat4 spin = glm::rotate(glm::mat(1.0f), spin_angle , axis);
Model = rotate * translate * spin;
With this solution rot_angle and spin_angle have to be incremented in every frame by a constant step.
If you don't want to increment the angles, then you have to store 2 matrices, instead of the angles. 1 for the rotation and on for the spin:
mat4 rotate(1.0f);
mat4 spin(1.0f);
glm::vec3 tvec = glm::vec3(-orbit_radius_, 0.0f, 0.0f);
glm::vec3 axis = glm::vec3(0.0f, 1.0f, 0.0f)
float rot_angle = glm::radians(orbit_speed_) / 100.0f;
float spin_angle = glm::radians(spin_speed_) / 100.0f;
rotate = glm::translate(rotate, tvec);
rotate = glm::rotate(rotate, rot_angle, axis );
rotate = glm::translate(rotate, -tvec);
spin = glm::rotate(spin, spin_angle, axis);
Model = rotate * spin;