Yes, the satellite experiences torque about the center of the planet. The speed of the satellite at point b and point c can be calculated using the conservation of energy.
Step-by-step explanation:
The satellite in an elliptical orbit experiences torque about the center of the planet. Torque is the rotational equivalent of force and is caused by an off-center gravitational force acting on the satellite. This torque causes the satellite to rotate as it moves along its orbit.
The speed of the satellite at point b can be calculated using the conservation of energy. Since the orbit is elliptical, the potential energy and kinetic energy of the satellite vary at different points. However, the total mechanical energy remains constant. By using the equation for conservation of energy and considering the potential energy and kinetic energy at different points, we can determine the speed of the satellite at point b.
The speed of the satellite at point c can be determined in the same way as point b. By considering the potential and kinetic energy at point c, we can calculate the speed of the satellite at that point.