Problemas
Orbital Velocity Problems: Problem 1: A satellite is orbiting Mars at an altitude of 400 km above the surface. The radius of Mars is approximately 3,390 km and its mass is 6.42times 10^wedge 23kg Calculate the orbital velocity of the satellite. Problem 2: The International Space Station orbits Earth at an altitude of 408 km Given the radius of Earth is approximately 6,371 km and its mass is 5.97times 10^wedge 24kg determine the orbital velocity of the ISS. Problem 3: A moon of Jupiter orbits at a distance of 1,070,000 km from the planet's center. The mass of Jupiter is 1.90times 10^wedge 27kg Find the orbital velocity of the moon. Problem 4: A communication satellite is in geostationary orbit around Earth at an altitude of 35,786 km. Calculate its orbital velocity assuming the radius of Earth is 6,37 I km and its mass is 5.97times 10^wedge 24kg
Roztwór
Julio
maestro · Tutor durante 5 años
4.7
(250 Votos)
Respuesta
To solve these problems, we will use the formula for orbital velocity:
where:-
is the orbital velocity,-
is the gravitational constant (
),-
is the mass of the central body (in kg),-
is the distance from the center of the central body to the satellite (in meters).Let's solve each problem step by step.### Problem 1: Satellite Orbiting MarsGiven:- Altitude = 400 km = 400,000 meters- Radius of Mars = 3,390 km = 3,390,000 meters- Mass of Mars =
First, calculate the total distance from the center of Mars to the satellite:
Now, plug the values into the formula:
### Problem 2: International Space Station (ISS) Orbiting EarthGiven:- Altitude = 408 km = 408,000 meters- Radius of Earth = 6,371 km = 6,371,000 meters- Mass of Earth =
Total distance from the center of Earth to the ISS:
Now, plug the values into the formula:
### Problem 3: Moon of JupiterGiven:- Distance = 1,070,000 km = 1,070,000,000 meters- Mass of Jupiter =
Now, plug the values into the formula:
### Problem 4: Communication Satellite in Geostationary