A hypothetical planet has an equatorial circumference of 40,000 km, a gravity \(g=10 \mathrm{~m} / \mathrm{s}^{2}\), and completes one revolution every 24 hours. Aircraft A circles eastward around the equator at constant altitude \(10 \mathrm{~km}\), while Aircraft B circles westward around the equator, both at altitude \(10 \mathrm{~km}\), except for the brief takeoffs and landings, each requiring 40 hours to make the trip from home base back to home base. Atomic clocks are carried on both planes and others are left at home. What are the calculated differences between the traveling and stay-at-home clocks due to

(a) altitude effects

(b) velocity (special-relativistic) effects, and

(c) the net predicted effect, both for clocks carried on \(\mathrm{A}\) and on \(\mathrm{B}\).