Question

I need to prove Keplers laws with calculus. 1.- The orbit of a planet is an...

I need to prove Keplers laws with calculus.

1.- The orbit of a planet is an ellipse with the Sun at one of the two foci.

2.- A line segment joining a planet and the Sun sweeps out equal areas during equal intervals of time.

3.- The square of the orbital period of a planet is directly proportional to the cube of the semi-major axis of its orbit.

0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
I need to prove Keplers laws with calculus. 1.- The orbit of a planet is an...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • All questions please 101. The mass of the Earth is almost 6.0x104 kg, and the average...

    All questions please 101. The mass of the Earth is almost 6.0x104 kg, and the average radius is about 6400 km. A satellite with a mass of 70 Kg is orbiting at an altitude of 600 km. Calculate the acceleration with which the satellite is falling on Earth. a. 5.7x10 m/s b. 5.7x10 m/s c. 5.7x10° m's d. 5.7x10 m/ e. 5.7x10m/s 102. The mass of the Earth is almost 6.0x 10* kg, and the average radius is about 6400...

  • I need help completing the WHOLE problem, parts A, B, C, and D. I know it...

    I need help completing the WHOLE problem, parts A, B, C, and D. I know it is a long problem, would appreciate labelled and clear steps, thank you. Kepler's Laws I. A planet revolves around the sun in an elliptical orbit with the sun at one focus. 2. The line joining the sun to a planet sweeps out equal areas in equal times. 3. The square of the period of revolution of a planet is proportional to the cube of...

  • Question 7 (0.5 points) What causes the Moon to move about 12° across the sky from...

    Question 7 (0.5 points) What causes the Moon to move about 12° across the sky from one night to the next (at the same time of night, of course)? O Because the Earth is turning on its axis. O Because the Moon is moving in its orbit. The Sun has also moved 15° across the sky and gravitationally pulls the Moon with it. The celestial sphere the Moon is attached to has moved 15°. O It is an optical illusion....

  • Kepler's 3 Laws of motion describe orbital motions as ellipses. This question will test your knowledge...

    Kepler's 3 Laws of motion describe orbital motions as ellipses. This question will test your knowledge about ellipses and help you apply Kepler's Laws to elliptical problems. Part A Which of the following is true about ellipses? Check all that apply. .An ellipse has two focal points. An ellipse has an oval shape. An ellipse has the sum of the distances from the focal points to the surface of the ellipse is constant. A circle is a special kind of...

  • For the ellipse shown above, what is the distance from one focus to the center of...

    For the ellipse shown above, what is the distance from one focus to the center of the ellipse? Distance = Kepler's First Law: The orbits of the planets are ellipses, with the Sun at one focus of the ellipse. Sun Focus point-→ . Kepler's Second Law: The line joining the Sun and planet sweeps out equal areas in equal times, so the planet moves faster when it is nearer the Sun. Thus, a planet executes elliptical motion with constantly changing...

  • 1 (10 pts). In 1601 the German astronomer Johannes Kepler became director of the Prague Observatory....

    1 (10 pts). In 1601 the German astronomer Johannes Kepler became director of the Prague Observatory. Kepler had been helping Tycho Brache in collecting 13 years of observations on relative motion of the planet Mars. By 1609, Kepler had formulated his first two laws of planetary motion: i. Each planet moves on an ellipse with the sun at one focus. ii. For each planet, the line from the sun to the planet sweeps out equal areas is equal times. Kepler's...

  • A resonance orbit is one in which planets have a fixed ratio of orbital periods. For...

    A resonance orbit is one in which planets have a fixed ratio of orbital periods. For example, for 2 planets with an orbital resonance of 3:1, the outer planet's orbital period would be 3 times that of the inner one. That is, the inner planet can complete 3 exact orbits whilst the outer one completes only one. This is a special type of orbital "locking". The two planets orbiting the nearby star are observed to be in a 2:1 resonance...

  • In Lecture 4, we discussed Kepler’s third law relatingthe orbital period of a planet (p) to...

    In Lecture 4, we discussed Kepler’s third law relatingthe orbital period of a planet (p) to the semi-major axis (orbital distance, a) of its orbit(p2= a3). We can apply this law as long the object orbits the Sun or another object of the same mass, and the units of orbital period are in (Earth) years and the orbital distance is in Astronomical Units(AU). [1AU is equal to the distance between the Earth and the Sun]. [Note: Newton extended this law...

  • Multivariable Calculus help with the magnitude of angular momentum: My questions is exercise 4 but I have attached exercise 1 and other notes that I was provided 4 Exercise 4. In any mechanics proble...

    Multivariable Calculus help with the magnitude of angular momentum: My questions is exercise 4 but I have attached exercise 1 and other notes that I was provided 4 Exercise 4. In any mechanics problem where the mass m is constant, the position vector F sweeps out equal areas in equal times the magnitude of the angular momentum ILI is conserved (Note: be sure to prove "if and only if") (Note: don't try to use Exercise 2 in the proof of...

  • keplers laws starry night lab questions Kepler EAND DATE Name: Class/Section: and let Xohie. hen it...

    keplers laws starry night lab questions Kepler EAND DATE Name: Class/Section: and let Xohie. hen it has gone TOwing Eart iginal croing e up X with Sous step. Write Noht Student Exercise-Answer Sheet Keplers Laws hatis the orbital period of asteroid X as calculated from Kepler's law? ete an orbit? Does mitation in at aphelion to a planet's question s agee 2 Describe how the period of the orbit depends on the orbital eccentricity, e. Lebad created an orbit with...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT