Objects in elliptical orbits sweep out equal areas in equal times. This implies that the orbital speed of planet around sun is not uniform. It moves fastest at the point closest to the sun (known as the perihelion) and slowest at the point farthest away (known as aphelion). In this problem, we will calculate the difference in this speed using Pluto as an example. Pluto's orbit has an eccentricity e = 0.25. Its semi-major axis is 5.9 times 10^9 km. Determine the distance (D_aphelion) between Pluto and the sun at aphelion. You should be able to determine this using just the semi-major axis and the eccentricity. Determine the distance (D_perihelion) between Pluto and the sun at perihelion. Again, you should be able to determine this using just the semi-major axis and the eccentricity. We now want to determine the ratio between Pluto's velocity at aphelion and perihelion: v_aphelion/v_perihelion. To do this you need to find the area swept out by Pluto's orbit. This can be approximately described as a triangle with: Area = 1/2 D v_i where D is the distance from the Sun. v is velocity, and t is time. Remember that Kepler's Second Law essentially states that planets sweep out "equal areas in equal times". This means that the area swept out in some fixed time interval (Delta t) is the same at perihelion as it is at aphelion. Therefore we can say: 1/2 D_perihelion v_perihelion Delta l = 1/2 D_aphelion v_aphelion Delta l Using Equation (2), derive an expression for v_aphelion/v_perihelion. Given that Pluto's minimum orbital velocity is 3.7 km s^-1, determine values for v_aphelion, and v_perihelion.
Solved
Show answers
More tips
- S Style and Beauty Tricks and Tips: How to Get Rid of Freckles...
- H Health and Medicine How to perform artificial respiration?...
- C Computers and Internet How to Get Rid of Windows Genuine Check?...
- F Food and Cooking The Disease That Haunted Abraham Lincoln...
- S Style and Beauty How to Make Your Lips Fuller? Ideas and Tips for Beautiful Lips...
- S Style and Beauty How are artificial nails removed?...
- F Family and Home How to Sew Curtain Tapes: Best Tips from Professionals...
- H Horoscopes, Magic, Divination How to Cast a Love Spell on a Guy? Guide for Guys...
- F Family and Home How to Properly Use a Water Level?...
- L Legal consultation What Documents Are Required for a Russian Passport?...
Answers on questions: Physics
- P Physics Four resistors of 10.0 each are connected in parallel. A combination of four resistors of 10.0 each is connected in series along with the parallel arrangement. What is...
- P Physics A girl is sitting in a sled sliding horizontally along some snow (there is friction present). The mass of the girl is 28.4 kg and the mass of the sled is 15.3 kg. The...
- P Physics How lubricating the wheels of the skateboard can increase the speed of the girl...
- P Physics Name an instrument that is used to measure atmospheric pressure...
- P Physics A steam engine is operating at its theoretical maximum efficiency of 60%. If the waste heat has a temperature of 100°F (38°C), what is the temperature of the boiler?...
- P Physics Got a question ~ can someone help me out ? I want Explanation ~ [ cuz there s something I m not clear about in this question ]Thanks for Answering ~...
- P Physics Fig. 1.1 shows a car travelling at 30 mis on a level road. At this speed the car has to overcome a total force of 600N opposing the car Fig. 1.1 (a) Calculate the distance...
- P Physics Two skiers travel two different frictionless paths. the two paths start at the same place and finish at the same place. skier a is heavier than skier b. with no more information,...
- P Physics Atennis player swings her 1000 g racket with a speed of 15.0 m/s. she hits a 60 g tennis ball that was approaching her at a speed of 18.0 m/s. the ball rebounds at 40.0...
- P Physics To practice problem-solving strategy 28.1 magnetic-field calculations. consider a current-carrying wire of length l carrying a current of magnitude i from left to right....
Ответ: