Imagine that ~25% of a planet's orbit while it is near perihelion is swept out over a period of 6 months. How many months would be a good approximation of the planet's orbital period?
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Imagine that ~25% of a planet's orbit while it is near perihelion is swept out over a period of 6 months. How many months would be a good approximation of the planet's orbital period?
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- 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).The solar system has a planet with an orbital period T1b=1.51d and an orbital radius of R1b=1.6456x10^6km. Another planet in the system has an orbital radius of R1f=5.5352x10^6 km. Calculate its orbital period in days.Saturn's mass is M= 5.69 x 1026 kg and its radius R=60,300 km. If a moon orbits Saturn at a distance equal to 5 times its planetary radius, what is its period of orbit? (Hint, use Newton's version of Kepler's 3rd law, and you can neglect the mass of the moon) Express your answer in days to three significant figures.
- 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).An object has recently been discovered orbiting the Sun. The following is known about this object. Images indicate it is about 800 km in diameter, appears to be covered in craters, and has a mostly spherical shape. The object was discovered at 42 AU from the Sun, which was found to be the perihelion of its orbit. The aphelion of its orbit was found to be 330 AU. a) From this information determine the semi-major axis and period of the orbit. b) Classify the object according to the definitions from the 2006 IAU meeting and describe the area of the Solar System from which it comes.Let's assume that the planet was originally orbiting around something with the mass of our Sun (and thus the mass of the planet is negligible). Now we will examine the case where the planet orbits a star with 8 times the mass of our Sun, but we will say that the dates listed in the diagram above are still accurate for indicating the planet's position as it orbits the new star. What is ratio of the size of the semimajor axis of the planet in this case compared to the original (aka how many times larger {ratio greater than 1} or smaller {ratio less than 1} is the new semimajor axis than the old one)?
- A planet of mass ?=2.85×1024 kg orbits a star of mass ?=6.85×1029 kg in a circular path. The radius of the orbit is ?=7.45×107 km.. What is the orbital period ?planet of the planet in Earth days?Tplanet = ? daysIf G = 6.674 ⨉ 10 −11m3/kg/s2, the orbital period of Saturn’s moon Titan is 15.95 days, and the orbital distance of Titan is 1.222 ⨉ 10 9 m, then, from Kepler’s third law in #4, what is the mass of Saturn?An astronomer observes that a small moon is in circular orbit around a distant planet. If the moon has a period of 150.0 hours and an orbital radius of 3.70 x 10^7 m, what is the mass of the planet? Submit your answer in units of 10^23 kg.