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Satellite Motion & Orbital Mechanics — JEE Practice

29 practice questions across 2 topics. Filter by difficulty, solve topic-wise MCQs, and review detailed solutions.

2 Topics29 Questions

Orbital Velocity & Period(15 Qs)

easy (5)

Q1The orbital velocity of a satellite close to Earth's surface is approximately:Q2The time period of a geostationary satellite is:Q3Escape velocity from Earth is approximately:Q4The ratio of escape velocity to orbital velocity is:Q5A geostationary satellite orbits in the:

medium (6)

Q1If the radius of Earth doubles (mass unchanged), the escape velocity will:Q2The total energy of an orbiting satellite of mass m at radius r is:Q3If a satellite's orbital radius is doubled, its time period becomes:Q4Two satellites orbit Earth at radii r and 4r. The ratio of their orbital speeds is:Q5The minimum energy needed to move a satellite from orbit r to orbit 2r is:Q6For a satellite in circular orbit, the kinetic energy equals:

hard (4)

Q1A satellite in circular orbit at height h has speed v. To escape from this orbit, the minimum additional speed needed is:Q2If Earth suddenly shrinks to half its radius (mass same), a satellite orbiting at radius 2R from centre will:Q3An astronaut in an orbiting satellite feels weightless because:Q4The orbital velocity of a satellite at height h above Earth (radius R, mass M) is:

Kepler's Laws(14 Qs)

easy (5)

Q1Kepler's first law states that planets move in:Q2Kepler's second law (law of areas) implies conservation of:Q3According to Kepler's third law, T² is proportional to:Q4A planet moves fastest when it is:Q5If the distance between a planet and Sun doubles, the time period becomes:

medium (5)

Q1Two planets have orbital radii r₁ and r₂ around the Sun. The ratio of their time periods T₁/T₂ is:Q2If Earth's orbital radius were 4 times its current value, the year would be:Q3The areal velocity of a planet is constant. This means:Q4For an elliptical orbit with semi-major axis a and eccentricity e, the perihelion distance is:Q5The gravitational PE of a planet at distance r from the Sun (mass M) is:

hard (4)

Q1A comet has perihelion distance r_p and aphelion distance r_a. Its speed at perihelion v_p is related to speed at aphelion v_a by:Q2If a planet's orbit has eccentricity e = 0.5, the ratio of max speed to min speed is:Q3The time period of a satellite orbiting a planet of density ρ at a distance just above the surface is:Q4A binary star system has two stars of masses m₁ and m₂ orbiting their common centre of mass with period T. Their separation d is given by:

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