physics
posted by Greg .
Consider the bending of light by the gravitation of the Sun as described by Newtonian physics. Light of frequency f passes at a distance d from the center of the Sun, which has a mass M. Show that the bending angle of the light is proportional to M/d.

Although the mass m of a photon is zero, if you use Newton's law of gravity with an m term in it and divide by m to get the acceleration towards the sun, the m's cancel out. Compute the integrated impulse to a photon as it passes by the sun at nearest distance d from the center.
I get something like
(G M/cd) cos^3 theta d(sin theta) = (GM/cd)cos^4theta d theta
integrated from theta = pi/2 to pi/2
M is the solar mass and c is the speed of light
That equals the momentum change toward the sun as the photon passes by. Divide by the forward photon momentum h f/c to get the angular deflection. f is the frequency and h is Planck's constant.
The deflection is proportional to GM/d
This will not give you the right answer; you need Einstein's General Relativity theory for that.
Respond to this Question
Similar Questions

Physics / Astronomy
Here is my question: Consider the bending of light by the gravitation of the Sun as described by Newtonian physics. Light of frequency f passes at a distance d from the center of the Sun, which has a mass M. Show that the bending angle … 
Physics
Consider the earth following its nearly circular orbit about the sun. The earth has mass 5.98*10^24 and the sun has mass 1.99*10^30. They are separated, center to center, by r=150 million k. What is the size of the gravitational force … 
Physics
The sun is 1.40•10^11m away and light travels at 3.00•10^8m/s. Calculate how long it takes light from the sun to reach the earth. Express your answer in scientific notation. 
Physics
Astronomers find that light emitted by a particular element at one edge of the Sun has a slightly higher frequency than light from that element at the opposite edge. What do these measurements tell us about the Sun’s motion? 
Math/Physics
The Milky Way Galaxy is 100000 light years across. The Sun is located about 30000 light years from the galactic center and revolves around it with a period of 2e8 years. All the stars inside the sun's orbital radius is to be concentrated … 
Physics
Consider the earth following its nearly circular orbit (dashed curve) about the sun.(Figure 2) The earth has mass mearth=5.98×1024kg and the sun has mass msun=1.99×1030kg. They are separated, center to center, by r=93millionmiles=150millionkm. … 
physics
The sun has a mass of 1.99 × 1030 kg and is moving in a circular orbit about the center of our galaxy, the Milky Way. The radius of the orbit is 2.3 × 104 lightyears (1 lightyear = 9.5 × 1015 m), and the angular speed of the sun … 
Chemistry 101
The distance from the Earth to the sun is approximately 9.37 x 10^7 miles. How long does ti take for light from the sun to reach the earth? 
modern physics
The earth and the sun are 8.3 lightminutes apart in the same inertial frame. Two events occur at t = 0 on the earth and t = 3 minutes on the sun respectively. Calculate the time difference between the events according to an observer … 
modern physics
The earth and the sun are 8.3 lightminutes apart in the same inertial frame. Two events occur at t = 0 on the earth and t = 3 minutes on the sun respectively. Calculate the time difference between the events according to an observer …