A rocket is to be launched from earth to a stationary point 'p' in space. The diagram shows the relative positions of the earth, the sun and point P (not to scale) Position of the Earth in January and the direction of its rotation on its axis. What is the best time for the rocket to be launched? 167 (a) Midday during July (b) Midnight during July (c) Midday during May (d) Midnight during May Earth's orbit around the Sun P Destination point (Stationary relative the Sun)
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- 34. A geosynchronous satellite appears to “hover” stationary directly above a particular point on the Earth’s equator. In order to achieve this the period of the orbit must match the sidereal period of Earth’s rotation, which is 23 hours 56 minutes. Solve for the altitude and speed of such a satellite. (Can only use Newton's 3 laws of motion and the law of gravity where Fg=G(M1M2)/r^2 and g=GM/r^2. You can also use the uniform circular motion formulas for speed and acceleration.)6. 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.2. If a projectile is fired due east from a point on the surface of the Earth at a northern latitude A with a velocity of magnitude vo and at an angle of inclination to the horizontal of c, show that the lateral deflection when the projectile strikes the Earth is 3 4v. d = · w sin 2 · sin² a cos a where w is the rotation frequency of the Earth.
- 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=8T₁The moon on Mars Phobos ( Fear) and Deimos ( Terror) are very close to the planet compared to Earth's Moon. Their orbital radii are 9,376 km and 23,463.2 km respectively. A) what is the orbital speed of Phobos to that of Deimos? B) If the period of Phobos orbits 7hr 39.2 min, what is the mass of Mars? C) Calculate the orbital period of Deimos.According 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.
- The position of a planet that a closest to and farthest from the sun are called its perihelion and aphelion respectively. We know that the Earth orbits around the Sun (as one focus) in an elliptical orbit with the perihelion distance of 1.47 x 10^8 km and the aphelion distance of 1.52 x 10^8 km. Find the Cartesian equation of the elliptical orbit.10) 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). _____ mA centripetal force of 175 N acts on a 1,450-kg satellite moving with a speed of 5,100 m/s in a circular orbit around a planet. What is the radius of its orbit? I got 2.155*10^9 however 2,155,00,000 is the wrong answer
- Explain and analyse the simiilarities and difference between circular motion and planetary motion.Two identical planets (in size and mass) named Nutron and Cruton, orbit their star, Ensalada, in circular orbits about its equator. Cruton is 3 times further away than Nutron is. How does Cruton’s orbital speed compare with Nutron’s? Group of answer choices a) It is faster. b) It is the same. c) It is slower d) Cannot be determined from given information.