Tidal Torque
Phobos, a moon of Mars, is in a prograde orbit but orbiting within synchronous orbit.
(a) Assuming Phobos has the same density as Mars, estimate the distance from the center of Mars at which Phobos will be tidally disrupted.
Tidal Torque Phobos, a moon of Mars, is in a prograde orbit but orbiting within synchronous...
Tidal Torque Phobos, a moon of Mars, is in a prograde orbit but orbiting within synchronous orbit. (a) Assuming Phobos has the same density as Mars, estimate the distance from the center of Mars at which Phobos will be tidally disrupted. (b) Calculate the corresponding period of Phonos' orbit for the situation in part (a). Compare it with the current period of 0.32 Earth days.
Phobos is one of two small moons that orbit Mars. Phobos is a very small moon and has correspondingly small gravity-- it varies but a typical value is about 6mm/s^2. Phobos isn't quite round, but it has an average radius of about 11 km. What would be the orbital speed around Phobos, assuming it was round with gravity and radius as noted?
B.2 This question concerns the possible tidal disruption of a spherical moon on a circular orbit of radius r about a host planet. The planet has mass Mp, radius R and mean density pp; the moon has mass M, radius Rm rand mean density Pm You may ignore any forces beyond the moon-planet system. (i) Show that tidal forces lead to a differential acceleration, between the face of the moon closest to the planet and the moon's centre, of amplitude...
Phobos is the closer of Mars' two small moons, has a circular with radius 9400 km from the center of Mars, a planet of mass 6.4 x 10 kg^23 How long does it take Phobos to complete one orbit of Mars Express your answer in hours.
6. In studying the Moon and the Earth, we saw that the tidal forces are causing the Moon to be pushed away from the Earth. In our solar system, we have another curious case. Triton, the main moon of Neptune, is in a retrograde orbit, which means it is orbiting in the opposite direction that Neptune is rotating. It is likely a captured object. Because of tidal forces and this odd orbit, Triton is slowly spiraling in toward Neptune. This...
6. Given that the distance to the Moon is 384000 km, and taking the Moon’s orbit around Earth to be circular, estimate the speed (in kilometers per second) at which the Moon orbits the Earth. 7. The baseline in Figure 0.19 in the textbook is 100 m and the angle at B is 60 degrees. Using the tangent function, calculate the distance from A to the tree Ch. 1 Discussion Questions 2. The benefit of our current knowledge lets us...
Question 4 20 pts A probe is orbiting a distant moon. The moon has a mass of M = 5.0 x 1022 kg and a radius of R= 1.5 x 106m. The probe makes one revolution every 6 hours. a) Find the distance the probe is above the surface of the moon. b) At what minimum velocity would would a rocket launched from the surface of the moon be able to reach a distance of 2.2 x 10m from the...
In 1993 the spacecraft Galileo sent home an image (the figure) of asteroid 243 Ida and a tiny orbiting moon (now known as Dactyl), the first confirmed example of an asteroid–moon system. In the image, the moon, which is 1.5 km wide, is 100 km from the center of the asteroid, which is 55 km long. The shape of the moon's orbit is not well known; assume it is circular with a period of 27 h. (a) What is the...
Question 4 20 pts A probe is orbiting a distant moon. The moon has a mass of M 5.0 x 1022 kg and a radius of R=1.5 x 106m. The probe makes one revolution every 6 hours. a) Find the distance the probe is above the surface of the moon. b) At what minimum velocity would would a rocket launched from the surface of the moon be able to reach a distance of 2.2 x 10m from the center of...
The semimajor axis of Mars orbit is about 1.52 astronomical units (au), where an au is the Earth's average distance from the Sun, meaning the semimajor axis of Earth's orbit is 1 au. To go from Earth to Mars and use the least energy from rocket fuel, the orbit has a semimajor axis of 1.26 au and an eccentricity of about 0.21. Starting at Earth's orbit, to follow this path we give the spacecraft an orbital velocity of 40 km/s. ...