Neglecting the attractions of all other celestial bodies, the gravitational potential energy of the earth and the sun is given by where G is the universal gravitational constant, equal to 6 673 Atilde 10 11 m 3 s 2 kg 1 , m s is the mass of the sun, m e is the mass of the earth, and r is the distan...

Neglecting the attractions of all other celestial bodies, the gravitational potential energy of the earth and the

Question:

Neglecting the attractions of all other celestial bodies, the gravitational potential energy of the earth and the sun is given by

Gmşme

where G is the universal gravitational constant, equal to 6.673 Ã— 10^ˆ’11 m³ s^ˆ’2 kg^ˆ’1, m_s is the mass of the sun, m_e is the mass of the earth, and r is the distance from the center of the sun to the center of the earth. Find an expression for the force on the earth due to the sun using spherical polar coordinates. Compare your result with that using Cartesian coordinates in the example in the chapter.