Find the distance that the earth travels in seven days in its path around the sun. Assume that a year has 365 days and that the path of the earth around the sun is a circle of radius 93 million miles. [Note: The path of the earth around the sun is actually an ellipse with the sun at one focus (see Section 11.2). This ellipse, however, has very small eccentricity, so it is nearly circular.] (Round your answer to one decimal

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?

A geosynchronous orbit is one in which the satellite stays in the same relative position above the earth, as the earth rotates. To do so, the satellite needs to have an orbital period of 1 day. Given that the moon has an orbital period of 27.3 days and a semi-major axis of 384,000 km, determine the radius of a geosynchronous orbit using Kepler's 3rd law. Enter your answer in km.

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?

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.

Taking the age of Earth to be about 4 ✕ 109 years and assuming its orbital radius of 1.5 ✕ 1011 m has not changed and is circular, calculate the approximate total distance Earth has traveled since its birth (in a frame of reference stationary with respect to the Sun). ..............m   Answer and simplify

A certain quaternary star system consists of three stars, each of mass m, moving in the same circular orbit of radius r about a central star of mass M. The stars orbit in the same sense, and are positioned one-third of a revolution apart from each other. Show that the period of each of the three stars is given by the following expression. (Submit a file with a maximum size of 1 MB.) T = 2πt در G(M+ Choose File No file chosen m

Two plane polar coordinates have the coordinates (2.2,48.3 °) and (4.6,10.50 ), calculate the distance between.

Could I please have some guidance on the steps for this? An undiscovered planet, many light-years from Earth, has one moon, which has a nearly circular periodic orbit. If the distance from the center of the moon to the surface of the planet is 2.450×105 km and the planet has a radius of 3.850×103 km and a mass of 4.90×1022 kg , how long (in days) does it take the moon to make one revolution around the planet? The gravitational constant is 6.67×10−11N·m2/kg2.