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What is the area swept by a satellite in an elliptical orbit around earth at t = T/5, where T is the time period of the orbit? Given, semi-major axis and semi-minor axis of the orbit are 9,000 km and 4,000 km respectively.

Correct Answer: 22.62 x 106 km2
Given, Semi-major axis (a) = 9,000 km Semi-minor axis (b) = 4,000 km Area swept (at t = T/5) (A)=? Due to similarity, A/(T/3) = πab/T   || Area of ellipse = πab A = πab/5 = π*9,000*4,000/5 = 22.62 x 106 km2

At an instant of time, a satellite in an elliptical orbit is at a distance of 500 km from the surface of the earth. If the semi major axis of the orbit is 8500 km in length, determine the magnitude of the satellite velocity. Take μ = 3.986 x 1014 m3/sec2.

What is the specific energy of a spacecraft in an elliptical orbit around earth? Given, apogee and perigee distance from the surface of earth are 6250 km and 525 km respectively. The radius and standard gravitational parameter of earth are 6378 km and 398,600 km3/s2.

What is the specific angular momentum of an Iridium satellite if the orbit is in an elliptical orbit that has a semi-major axis and eccentricity of 46,000 km and 0.85 respectively. Gravitational parameter of earth is 398,600 km3/s2?

If the standard gravitational parameter of earth, μ is 398,600 km3/s2 and the radius of earth is 6378 km, what is the period of a satellite revolving around earth in a circular orbit 500 kms above the surface of the earth?

What is the specific angular momentum of an elliptical orbit, if the flight path angle of the satellite in orbit at an instant is 15°? The satellite is travelling at a velocity of 10.7 km/s at the same instant and is parked at an altitude of 7048 km measured from earth’s center.

Consider the following statements.
1. The time period of satellite does not depend on the radius of the orbit.
2. The orbital velocity is inversely proportional to the square root of the radius of the orbit.
3. The orbital velocity of a satellite increases with the radius of the orbit.
Which of the statement(s) given above is/are correct?

The radius of orbit of a geostationary satellite is given by _____ (M = Mass of the earth; R = Radius of the earth; T = Time period of the satellite) 3/2 b) 2/3 – R c) 1/3 – R d) 1/3

A satellite revolves around the earth in a circular orbit with a velocity “v”. What is the total energy of the satellite? Let “m” be the mass of the satellite.

The time period of a satellite of earth is 90 minutes. If the separation between the earth and the satellite is quadrupled, the new time period will be _____________

Consider the following statements regarding the satellite imaging:
1. The satellite orbit is fixed in the inertial space
2. During successive across-track imaging, the earth rotates beneath the sensor
3. The satellite images a skewed area
Which one of the following statements is/are correct?