The moon on Mars Phobos ( Fear) and Deimos ( Terror) are very close to the planet compared to Earth's Moon. Their orbital radii are 9,376 km and 23,463.2 km respectively. A) what is the orbital speed of Phobos to that of Deimos? B) If the period of Phobos orbits 7hr 39.2 min, what is the mass of Mars? C) Calculate the orbital period of Deimos.

The moon's period of revolution around the Earth is 27.3 d. How far away is the moon from the surface of the Earth? O A) 1.33× 107 m B) 3.83 × 108 m C) 3.77 × 108 m D) 4.88 × 10⁹ m

B) what is the period of the orbit, in hours?

the average distance from the earth to the moon is 3.8 X 108 m, if the moon takes 27 days to orbit the earth and the mass of the moon is 7.4 x 1022kg  a) How many seconds does it take for the moon to orbit the earth  b) what is the distance the moon travels in one revolution c) what is the moon's average velocity

The position of a planet that a closest to and farthest from the sun are called its perihelion and aphelion respectively. We know that the Earth orbits around the Sun (as one focus) in an elliptical orbit with the perihelion distance of 1.47 x 10^8 km and the aphelion distance of 1.52 x 10^8 km. Find the Cartesian equation of the elliptical orbit.

Planet X with a radius of 4.0 Rearth⊕ is found orbiting a star of mass 0.80M⊙ . The eccentricity of its orbit is 0.05, and at its farthest approach to the star, it is 0.63 AU away, while at its closest approach to the star, it is 0.57 AU away.  a. How long does it take Planet X to make a complete orbit around its star in years? b.The semi major axis of the planet is changed such that its closest approach to the star is now 2.9 AU. Would the gravitational force exerted by the star on Planet X increase or decrease? By what factor? Would the gravitational force exerted by Planet X on the star increase or decrease? By what factor?  c. The mass of the star was increased to 2.4M⊙ . Would the gravitational force exerted by it on Planet X increase or decrease? By what factor? Would the gravitational force exerted by Planet X on the star increase or decrease? By what factor?   d. What must the mass of Planet X be in Mearth⊕ such that an astronaut on its surface would have the same weight as…

2. The planet Jupiter has an orbital period of 4332.8 days, and its greatest distance (aphelion distance) from the Sun is 5.455 AU {where 1 AU = 1 Astronomical Unit = 1.496x10'' m}. The mass of the planet Jupiter is 1.898x1027 kg and the mass of the Sun is 1.988x1030 kg. {G = 6.67x10'" Nm/kg?) (a) Calculate the perihelion distance (closest distance) in Astronomical Units (AU) of the planet Jupiter from the Sun. (b) Calculate the eccentricity of planet Jupiter's orbit around the Sun. (c) Calculate the smallest speed of planet Jupiter around the Sun in km/s. At what point in Jupiter's orbit does Jupiter have its smallest speed?

Kepler’s Law relates the period T ( in a sec) of a satellite to the distance from the center of the earth r (in m) to some physical constants as shown:                  T2 = (2π/ G ME) r3 Where G = Universal Constant of Gravitation and ME is the mass of the earth.  A stationary satellite is one that circles the earth in a circular orbit but stays exactly above the same spot on the earth. Calculate the distance above the earth in m for this “geo-synchronous satellite” to orbit, then convert that height to miles.

010: A new planet (tentatively named "Melmac") is found in a circular orbit with a period of 571 years. The sun has a mass of 1.9891x1030 kg. How far away is the planet in Astronomical Units (AU) ? Note: An A.U. is 1.496x1011 m.

The gravitational force of attraction between any two point masses is attractive and the magnitude: Gm₂m₂ G = 6.67 x 10-11 N-m² kg² F= where G is the gravitation constant, m, and m₂ are the masses, and r is the distance between the masses. This is quite different from the force of gravity that we have been using, where weight = mg. 1. Acceleration due to gravity: a. Lett one mass be the Earth and the other mass m is let go just above the surface of the Earth. Calculate the value of the acceleration due to gravity using Newton's law of gravitation. The net effect of the Earth's gravity is the same as if the all the mass of the Earth were concentrated at its center. b. The F-22 Raptor fighter jet has a service ceiling of 12 miles or 20 km. Determine the acceleration due to gravity at this altitude. c. The International Space Station is in low Earth orbit at a height of 400 km above the surface of the Earth. Determine the acceleration due to gravity at this altitude. d. What is assumed…