Earth is about 150 million kilometers from the Sun (1 Astronomical Unit, or AU), and the apparent brightness of the Sun in our sky is about 1300 watts/m2. Using these two facts and the inverse square law for light, determine the apparent brightness that we would measure for the Sun if we were located at the following positions. a) At the orbit of Venus (67 million km from the Sun)

Earth is about 150 million kilometers from the Sun (1 Astronomical Unit, or AU), and the apparent brightness of the Sun in our sky is about 1300 watts/m2. Using these two facts and the inverse square law for light, determine the apparent brightness that we would measure for the Sun if we were located at the following positions. a) At the orbit of Jupiter (780 million km from the Sun).

In the 19th century, measurements of the precession of the orbits of the planets in the solarsystem were performed, and preformed to a new standard of precision that allowedpredictions to be made from deviations from gravitational theory. Newtonian gravitationwas sufficient to predict the precession in most of the planets, but Mercury’s precession wasanomalous: the long axis of its elliptical orbit changes direction by 43”/century (arcsecondsper tropical century) faster than the expected speed. One theory that was created to explainthis effect was that there was an “anti-Earth” called Vulcan that orbited the sun exactlyopposite the Earth. 1 If this theory had been correct, how much different would the orbit of the Earth be fromwhat it is today? Express your answer in terms of the ratio of the difference of the predictedperiod of the Earth with and without Vulcan to the period of the Earth without thehypothetical planet. Some assumptions will be necessary to get a nice answer:(i) Do not…

Part 3 1. The diameter of the Sun is 1,391,400 km. The diameter of the Moon is 3,474.8 km. Find the ratio, r= Dsa/Dsvan between the sizes. 2. From the point of view of an obs erver on Eanth (consider the Earth as a point-like object), during the eclipse, the Moon covers the Sun exactly. Sketch a picture to illustrate this fact. Use a nuler to get a straight line. Your drawing does not need to be in scale. 3. The Sun is 1 Astronomical Unit (AU) away from the Earth. Find the distance between the Earth and the Moon in AU's using the ratio of similar triangles. Show your work. DEM= AU. Convert this to kilometers. Use 1 AU = 149,600,000 km. DEM = km.