A satellite orbits the Earth in an elliptic orbit with eccentricity 0,3. Its pericentric height is 150 km. What is its velocity at a height of 300 km? If its speed at perigee is decreased by 10%, still perpendicular to the radius, determine if if it will stay in an orbit or hit the Earth.

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Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.