Keplerian Orbits — MCQs August 20, 2025 by u930973931_answers 50 Score: 0 Attempted: 0/50 Subscribe 1. Who formulated the three laws of planetary motion? (A) Isaac Newton (B) Johannes Kepler (C) Galileo Galilei (D) Nicolaus Copernicus 2. According to Kepler’s First Law, the orbit of a planet is a(n): (A) Circle (B) Ellipse (C) Parabola (D) Hyperbola 3. In Kepler’s First Law, the Sun is located at: (A) The center of the ellipse (B) A focus of the ellipse (C) The aphelion (D) The perihelion 4. Kepler’s Second Law is also known as the: (A) Law of Periods (B) Law of Ellipses (C) Law of Equal Areas (D) Law of Gravitation 5. Kepler’s Second Law states that a planet moves fastest when it is at: (A) Aphelion (B) Perihelion (C) Equinox (D) Solstice 6. The time taken for a planet to complete one orbit is called its: (A) Rotation period (B) Orbital period (C) Sidereal day (D) Synodic day 7. Kepler’s Third Law relates the square of the orbital period to the cube of the: (A) Orbital speed (B) Semi-major axis (C) Semi-minor axis (D) Orbital eccentricity 8. Kepler’s laws were based on observations made by: (A) Galileo (B) Copernicus (C) Tycho Brahe (D) Newton 9. In an elliptical orbit, the point closest to the Sun is called: (A) Aphelion (B) Perihelion (C) Ascending node (D) Descending node 10. In an elliptical orbit, the farthest point from the Sun is called: (A) Perihelion (B) Aphelion (C) Equinox (D) Solstice 11. The eccentricity of a circular orbit is: (A) 0 (B) Between 0 and 1 (C) Exactly 1 (D) Greater than 1 12. If the orbital eccentricity is close to 0, the orbit is nearly: (A) Circular (B) Parabolic (C) Hyperbolic (D) Irregular 13. Kepler’s laws apply to: (A) Only Earth (B) All planets orbiting the Sun (C) Artificial satellites (D) Both planets and satellites 14. The orbital period of Earth is: (A) 24 hours (B) 27.3 days (C) 365 days (D) 30 days 15. The orbital speed of a planet is highest at: (A) Aphelion (B) Perihelion (C) Equinox (D) Mid-orbit 16. The orbital path of a planet is symmetric about: (A) Major axis (B) Minor axis (C) Both axes (D) None of these 17. According to Kepler’s Third Law, the ratio 𝑇 2 / 𝑎 18. Which planet has the most eccentric orbit among major planets? (A) Earth (B) Jupiter (C) Mercury (D) Venus 19. The area swept out by a planet in a given time interval is: (A) Always the same (B) Larger near aphelion (C) Larger near perihelion (D) Smaller at perihelion 20. A planet takes longer to move from aphelion to perihelion than perihelion to aphelion. True or False? (A) True (B) False Answer: (B) False 21. The semi-major axis of Earth’s orbit is approximately: (A) 0.39 AU (B) 1 AU (C) 1.5 AU (D) 5.2 AU 22. The orbit of a comet is generally: (A) Circular (B) Highly elliptical (C) Hyperbolic (D) Perfectly parabolic 23. If a body follows a parabolic path, its eccentricity is: (A) 0 (B) Less than 1 (C) Equal to 1 (D) Greater than 1 24. For a hyperbolic trajectory, eccentricity is: (A) 0 (B) Between 0 and 1 (C) Equal to 1 (D) Greater than 1 25. Which constant of nature was later used by Newton to derive Kepler’s laws? (A) Speed of light (B) Gravitational constant (C) Planck’s constant (D) Boltzmann constant 26. In an elliptical orbit, the semi-major axis is the average of: (A) Perihelion and aphelion distances (B) Two foci distances (C) Orbital velocity (D) Orbital period 27. Orbital eccentricity describes the orbit’s: (A) Speed (B) Flattening (C) Inclination (D) Size 28. Which of the following is NOT an orbital element? (A) Semi-major axis (B) Inclination (C) Right ascension (D) Gravitational constant 29. The line joining perihelion and aphelion is called: (A) Line of apsides (B) Line of nodes (C) Equatorial line (D) Inclination line 30. The law of areas implies conservation of: (A) Energy (B) Angular momentum (C) Linear momentum (D) Mass 31. Newton showed that Kepler’s laws are a consequence of: (A) Conservation of energy (B) Inverse-square law of gravitation (C) Special relativity (D) Law of inertia 32. The orbital period of Mars is about: (A) 225 days (B) 365 days (C) 687 days (D) 12 years 33. Which orbital element defines the tilt of orbit with respect to a reference plane? (A) Eccentricity (B) Inclination (C) Semi-major axis (D) Argument of periapsis 34. Which of the following orbits is unbound? (A) Circular orbit (B) Elliptical orbit (C) Parabolic orbit (D) None of the above 35. Orbital speed decreases as distance from the Sun: (A) Increases (B) Decreases (C) Remains constant (D) Is zero 36. Which planet has the least eccentric orbit? (A) Earth (B) Venus (C) Neptune (D) Pluto 37. The time taken for a satellite to complete one revolution is determined by its: (A) Mass (B) Semi-major axis (C) Inclination (D) Shape 38. The law of equal areas implies that the planet’s velocity vector: (A) Changes in direction only (B) Changes in magnitude only (C) Changes in both magnitude and direction (D) Never changes 39. Which of the following describes orbital resonance? (A) Two bodies sharing the same orbit (B) Regular gravitational interaction of orbital periods (C) The destruction of orbits (D) A comet’s hyperbolic escape 40. Which satellite orbits Earth in about 90 minutes? (A) Moon (B) ISS (C) GPS satellite (D) Geostationary satellite 41. A geostationary satellite has an orbital period of: (A) 24 hours (B) 12 hours (C) 48 hours (D) 90 minutes 42. The eccentricity of Earth’s orbit is approximately: (A) 0 (B) 0.0167 (C) 0.5 (D) 1 43. The semi-major axis of Mars’s orbit is about: (A) 1 AU (B) 1.5 AU (C) 2 AU (D) 5 AU 44. Orbital energy is conserved in: (A) Circular orbits only (B) Elliptical orbits only (C) All Keplerian orbits (D) None of these 45. Which orbit allows a spacecraft to escape the Sun’s gravity? (A) Circular (B) Elliptical (C) Hyperbolic (D) Geostationary 46. The orbital speed of Earth around the Sun is approximately: (A) 10 km/s (B) 20 km/s (C) 30 km/s (D) 50 km/s 47. Which is the shortest orbital period planet? (A) Mercury (B) Earth (C) Mars (D) Venus 48. Which parameter does NOT affect orbital eccentricity? (A) Perihelion distance (B) Aphelion distance (C) Semi-major axis (D) Mass of planet 49. Kepler’s Third Law is mathematically expressed as: (A) T² ∝ a³ (B) T² ∝ 1/a³ (C) T ∝ 1/a² (D) T³ ∝ a² 50. Which of the following best summarizes Kepler’s laws? (A) They describe planetary orbits and motions empirically (B) They explain why gravity exists (C) They describe star formation (D) They measure Earth’s rotation only