Haley’s Comet closest approach to the Sun is within 0.570 A.U., and its orbital period is75.6 years.Problem 4.1. What is the semi-major axis of the comet’s orbit?Problem 4.2. How far from the sun will Haley’s comet travel before it starts its returnjourney?
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Haley’s Comet closest approach to the Sun is within 0.570 A.U., and its orbital period is
75.6 years.
Problem 4.1. What is the semi-major axis of the comet’s orbit?
Problem 4.2. How far from the sun will Haley’s comet travel before it starts its return
journey?
Step by step
Solved in 2 steps
- (a) One of the moons of Jupiter, named Io, has an orbital radius of 4.22 108 m and a period of 1.77 days. Assuming the orbit is circular, calculate the mass of Jupiter, (b) The largest moon of Jupiter, named Ganymede, has an orbital radius of 1.07 109 m and a period of 7.16 days. Calculate the mass of Jupiter from this data, (c) Are your results to parts (a) and (b) consistent? Explain.Neptune orbits the Sun with an orbital radius of 4.495 x 10^12 m. If the earth to sun distance 1 A.U. = 1.5 x 10^11 m, a) Determine how many A.U.'s is Neptune's orbital radius (Round to the nearest tenth). b) Given the Sun's mass is 1.99 x 10^30 kg , use Newton's modified version of Kepler's formula T^2 = (4pi^2/Gm(star)) x d^3 to find the period in seconds using scientific notation. (Round to the nearest thousandth). c) Convert the period in part b) to years(Round to the nearest tenth).The orbit of Earth’s moon has a period of 27.3 days and a radius (semi-major axis) of 2.57 ×10-3 A.U. = 3.85 × 105 km. What is the mass of Earth? What are the units?
- Neptune orbits the Sun with an orbital radius of 4.495 x 10^12 m. If the earth to sun distance 1A.U. = 1.5 x 10^11 m, a) Determine how many A.U.'s is Neptune's orbital radius (Round to the nearest tenth). b) Given the Sun's mass is 1.99 x10^30 kg, use Newton's modified version of Kepler's formula T^2 = (4pi^2/Gm(star)) x d^3 to find the period in seconds using scientific notation. (Round to the nearest thousandth). C) Convert the period in part b) to years (Round to the nearest tenth)The orbit of mars about the sun is elliptical with the sun at one focus. If the minor axis of this orbit is 2.25?10^8 kilometers and the eccentricity is about 0.093, determine the greatest distance of mars from the sun. a. 1.13?108?? b. 1.23?108?? c. 1.33?108?? d. 1.43?108??The planet Mars is orbited by two small moons, Phobos and Deimos. Both moons have circular orbits. Use Kepler's Third Law in Newtonian form to compute both the product GM(Mars), where G is Newton's constant and M(Mars) is the mass of Mars, and the mass of Mars itself from the orbital data for the two moons and Newton's constant. 2. a) Phobos: P = 0.3189 days, a = 9377 km. b) Deimos: P = 1.2624 days, a = 23,460 km. %3D NOTE - The orbital periods are in earth days; 1 day = 24 hours = 86,400 s. %3D %3D Newton's constant is G = 6.673 x 10^(-11) m^3/kg s^2.
- The asteroid belt circles the sun between the orbits of Mars and Jupiter. One asteroid has a period of 5.0 earth years. Assume a 365.25-days year and MSun = 1.99 × 1030 kg. 1. What is the asteroid's orbital radius? Express your answer in two significant figures. 2. What is the asteroid's orbital speed? Express answer in two significant figures.Using canonical units, What is the circular velocity of a satellite orbiting the earth at a radius of 1.50? (Answer: 0.816). What is the radius and altitude of a satellite orbiting the earth with a period of 10.0? (Answer: radius = 1.363, altitude = 0.363)2. a. Consider two planets orbiting a distant star. Planet A is further from the star. A is orbiting at a speed of 14625 m/s and has an orbital period of 12.45 years. What is the radius of A's orbit? Hint: remember to convert the period into seconds. 4.57*10^11 please enter a valid number Previous submissions: b. What is the mass of the star? 1.465*10^30 please enter a valid number Previous submissions: c. Planet B is closer in. B has a larger velocity of 38500 m/s. What is the radius of B's orbit? 6.598*10^10 please enter a valid number Previous submissions: m kg m incorrect incorrect V incorrect
- O Jupiter's third-largest natural satellite, lo, follows an orbit with a semimajor axis of 422,000 km (4.22 × 105 km) and a period of 1.77 Earth days (Plo = 1.77 d). To use Kepler's Third Law, we first must convert lo's orbital semimajor axis to astronomical units. One AU equals 150 million km (1 AU = 1.50 x 108 km). Convert lo's a value to AU and record the result. alo = AUAccording to Lunar Laser Ranging experiment the average distance Lm from the Earth to the Moon is approximately 3.97 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.Mars has an orbital radius of 1.523 AU and an orbital period of 687.0 days. What is its average speed v in SI units? (1 AU is the astronomical unit, the mean distance between the Sun and the Earth, which is 1.496×1011 m) a. 0.00221 AU/day b. 3838 m/s c. 0 d. 1.28×10−9 m/s
