3. An earth satellite moves in an elliptical orbit with a period t, eccentricity ɛ, and semimajor axis a. Show that the maximum radial velocity of the satellite is 2 maɛ (t/1-e² ).
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- For a satellite (mass 5,477 kg) to be in a circular orbit 932 km above the surface of the Earth, what is its radial acceleration? The mass of the Earth is 5.97 x 1024 kg, and its' average radius is 6.38 x 106 m. 1 km = 1000 m Your Answer: units Answer2. A satellite revolves around the earth in a circular path at a height of 500 km above the surface. Given Radius of Earth = 6.4 x 10 6m and Mass of earth = 6.0 x 10 24kg and G= 6.67 x 10'Nm2/Kg² [ЗА %3D %3D %3D a) Calculate the orbital speed of the satelliteTwo 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=8T₁
- 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 of mass 2,134 kg orbits the Earth at an altitude of 3,434 km in a circular orbit. How many hours does it take for this satellite to complete one full revolution? Mass of the Earth: kg. Mean radius of the Earth: 6370 km.Problem 3. A tracking station determines that an Earth-observation satellite has perigee and apogee altitudes of 350 and 1,206 km, respectively. Determine the orbital period (in minutes) and the parameter p.
- 9. A satellite is in a circular orbit around an unknown planet. The satellite has a speed of 2.10 × 10¹ m/s, and the radius of the orbit is 5.60 × 10⁰ m. A second satellite also has a circular orbit around this same planet. The orbit of this second satellite has a radius of 8.75 × 106 m. What is the orbital speed of the second satellite? m/s3. A moon's orbital angular velocity and orbital velocity about a planet are 6.28x10-8 rad/sec and 12.56 m/s respectively. Calculate this moon's distance from the planet and the planet's mass.1 Suppose two spacecraft which plan to rendezvous are in circular coplanar orbits separated by 100°. The radius of the interceptor spacecraft’s orbit is 6750 km and the radius of the target spacecraft’s orbit is 6900 km. How long must the interceptor wait before starting the rendezvous?