GeoEye-1 is an Earth-observation satellite that provides high-resolution images for Google. The orbitai period and eccentricity of GeoEye-1 are 98.33 min and 0.001027, respectively. Determine the perigee and apogee aititudes of GeoEye-1.

Assume the earth's mass is 80.004 x 1025 kg, and radius is 35.532 x 103 miles, what would be the gravitational acceleration on such an planet in unit of m/s2? Use G=6.67x 10 -11 Nm2/kg2.

The moon Phobos orbits around Mars with a semi-major axis of 9376 km, and an orbital period of 7.65 hours.  If NASA wanted to put a satellite in a circular orbit around Mars with an orbital period of 50.0 hours, what should the radius of the orbit be, in km?

5.3 The radius of the earth is 6400 km. An incoming meteorite approaches the Earth along the trajectory shown. The point C in the figure is 6400 km above the Earth's surface. The point A is located at the Earth's center. At point C, what acceleration would the meteorite experience due to the Earth's gravity? The gravitational constant G= 6.67x10-11 (Nm²/kg2). (b) (c) (d) 9.8 m/s2 toward A 2.5 m/s2 toward A 2.5 m/s2 toward B 5.0 m/s² toward B 5.0 m/s2 toward A 6400 30° B

) One of the moors of Jupiter, named an orbital radius of 10 4.22 * 10 ^ 8 a period of 1.77 days. Assuming the orbitis circular, calculate the inass of Jupiter. (b) largest moon of Jupiter, named Ganymede, has an orbital radius of 1.07 * 10 ^ 9 m a period of 7.16 daysCalculate the mass of Jupiter from this data ) your results to parts (b) consistent ? Yes No Explain

A landing craft with mass M is in a circular orbit a distance d above the surface of a planet. The period ofthe orbit is T. The astronauts in the landing craft measure the diameter of the planet to be D. The landing craft sets down at the north pole of the planet. a)What is the weight of a person of mass m as they step out onto the plant’s surface? b)Suppose days on this planet last t seconds (i.e. the planet rotates about its axis once every t seconds).Write an expression for the astronaut’s perceived weight at the equator in terms of their weight at the north pole. (Hint: think about centripetal force)

Calculate the period of a satellite orbiting a planet with the mass 8.7 x 1022 kg given the height of the satellite's orbit is 300 km and the radius of the planet is 2000 km. Provide your answer in Sl units.

A satellite is in a circular orbit at an altitude of 1.5 earth radii, with an inclination of 90°.  Calculate the satellite's orbital period in minutes.  Report your answer to three significant digits (e.g. 123).  For the radius of the earth use RE = 6371 km; for the gravitation acceleration use g = 9.81 m/s2.  What is the orbital period in minutes?

According to Lunar Laser Ranging experiment the average distance LM from the Earth to the Moon is approximately 3.92 x 105 km. The Moon orbits the Earth and completes one revolution relative to the stars in approximately 27.5 days (a sidereal month). Calculate the orbital velocity of the Moon in m/s. Answer: Choose...

The orbit of a 1.5 x 1010 kg comet around the Sun is elliptical, with an aphelion distance of 11.0 AU and perihelion distance of 0.890 AU. (Note: 1 AU = one astronomical unit = the average distance from the Sun to the Earth = 1.496 x 101" m.) (a) What is its orbital eccentricity? (b) What is its period? (Enter your answer in yr.) yr (c) At aphelion what is the potential energy (in J) of the comet-Sun system?