1. In comet Halley's orbit around the sun, the minimum distance between the comet and the sun in 0.57 A.U. The orbital period is 75.6 years. What is the maximum distance between the comet and the sun?
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- 1. using Newton’s Law of Universal Gravitation and some kinematics calculation we can calculate the mass of the planet. For this, use this equation below: ?planet =(9.340×1024)×(vmax)×(Pstar)1/3×(Mstar)2/3 Given: - vmax = 1.5 m/s - Pstar = 3.5 days - Mstar = 1.148 Msun, where Msun = 1.98847×1030 kg. This calculation is not shown.2. A comet is traveling in outer space with a velocity of 2000 m/s. How long will it take to travel 300,000 meters? 2000 s 0.0006 s 6,000,000 s 150 s6. A synchronous orbit is an orbit about a planet's equator that always remains above the same spot of the planet because the synchronous orbit matches the planet's rotational period. The pilot of the Mars spacecraft (which was named Cheetah 1 and had a 9556 kg mass) asked Tarzan to calculate the altitude of a synchronous orbit so they could remain over a particular geological feature on the Martian equator. Calculate the altitude above the Martian equator using the data above and Johannes Kepler's genius.
- Two planets orbit a star. You can ignore the gravitational interactions between the planets. Planet 1 has orbital radius r₁, and planet 2 has r₂ = 4r₁ Planet 1 orbits with period T₁ Planet 2 orbits with period A. T₂ = -1/T₁ B. T₂=2T₁ C. T₂ = 4T₁ D. T₂=8T₁According to Lunar Laser Ranging experiments the average distance LM from the Earth to the Moon is approximately 3.85 × 10° km. The Moon orbits the Earth and completes one revolution in approximately 27.5 days (a sidereal month). How can the mass of the Earth be calculated using the information above? Select the correct statements. Select one or more: O a. Use Newton's third law. O b. Use Newton's first law. c. Use Coulombs law. O d. Use Newton's second law.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?
- A satellite encircles Mars at a distance above its surface equal to 3 times the radius of Mars. If gm the acceleration due to gravity at the surface of Mars, what is the acceleration due to gravity at the location of the satellite? A. gm/16 B. gm/9 C. gm/4 D. gm/3 O B O A3. The period of rotation of Mars is 1 day and 37 minutes. Determine its frequency of rotation in Hertz.19. Saturn’s moon Mimas has an orbital period of T= 82,800 s at a distance of d= 1.87 × 10^8 m from Saturn. Using Kepler's 3rd law listed below for mass to determine Saturn’s mass. You must show your calculations for credit.